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CN111478611A - An auxiliary resonant commutated pole inverter with bidirectional reset of phase-dependent magnetizing current - Google Patents

An auxiliary resonant commutated pole inverter with bidirectional reset of phase-dependent magnetizing current Download PDF

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CN111478611A
CN111478611A CN202010302226.2A CN202010302226A CN111478611A CN 111478611 A CN111478611 A CN 111478611A CN 202010302226 A CN202010302226 A CN 202010302226A CN 111478611 A CN111478611 A CN 111478611A
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CN111478611B (en
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禹健
马宇辉
王�琦
张海燕
王美刚
高红斌
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Shanxi University
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02MAPPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
    • H02M7/00Conversion of AC power input into DC power output; Conversion of DC power input into AC power output
    • H02M7/42Conversion of DC power input into AC power output without possibility of reversal
    • H02M7/44Conversion of DC power input into AC power output without possibility of reversal by static converters
    • H02M7/48Conversion of DC power input into AC power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode
    • H02M7/53Conversion of DC power input into AC power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal
    • H02M7/537Conversion of DC power input into AC power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only, e.g. single switched pulse inverters
    • H02M7/5387Conversion of DC power input into AC power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only, e.g. single switched pulse inverters in a bridge configuration
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02MAPPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
    • H02M3/00Conversion of DC power input into DC power output
    • H02M3/22Conversion of DC power input into DC power output with intermediate conversion into AC
    • H02M3/24Conversion of DC power input into DC power output with intermediate conversion into AC by static converters
    • H02M3/28Conversion of DC power input into DC power output with intermediate conversion into AC by static converters using discharge tubes with control electrode or semiconductor devices with control electrode to produce the intermediate AC
    • H02M3/325Conversion of DC power input into DC power output with intermediate conversion into AC by static converters using discharge tubes with control electrode or semiconductor devices with control electrode to produce the intermediate AC using devices of a triode or a transistor type requiring continuous application of a control signal
    • H02M3/335Conversion of DC power input into DC power output with intermediate conversion into AC by static converters using discharge tubes with control electrode or semiconductor devices with control electrode to produce the intermediate AC using devices of a triode or a transistor type requiring continuous application of a control signal using semiconductor devices only
    • H02M3/33569Conversion of DC power input into DC power output with intermediate conversion into AC by static converters using discharge tubes with control electrode or semiconductor devices with control electrode to produce the intermediate AC using devices of a triode or a transistor type requiring continuous application of a control signal using semiconductor devices only having several active switching elements
    • H02M3/33576Conversion of DC power input into DC power output with intermediate conversion into AC by static converters using discharge tubes with control electrode or semiconductor devices with control electrode to produce the intermediate AC using devices of a triode or a transistor type requiring continuous application of a control signal using semiconductor devices only having several active switching elements having at least one active switching element at the secondary side of an isolation transformer
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02MAPPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
    • H02M1/00Details of apparatus for conversion
    • H02M1/0048Circuits or arrangements for reducing losses
    • H02M1/0054Transistor switching losses
    • H02M1/0058Transistor switching losses by employing soft switching techniques, i.e. commutation of transistors when applied voltage is zero or when current flow is zero
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02BCLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO BUILDINGS, e.g. HOUSING, HOUSE APPLIANCES OR RELATED END-USER APPLICATIONS
    • Y02B70/00Technologies for an efficient end-user side electric power management and consumption
    • Y02B70/10Technologies improving the efficiency by using switched-mode power supplies [SMPS], i.e. efficient power electronics conversion e.g. power factor correction or reduction of losses in power supplies or efficient standby modes

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  • Power Engineering (AREA)
  • Inverter Devices (AREA)
  • Dc-Dc Converters (AREA)

Abstract

本发明公开了一种相位关联磁化电流双向复位的辅助谐振换流极逆变器,实现了主开关管的零电压开通的优点,减少了主开关的开关损耗,此外辅助回路中的辅助开关,也通过激磁电感中的储能实现了零电压开通且其耐压值远小于主开关;并在每个开关周期都可靠地实现了磁化电流复位,有效的减小了变压器的体积;变压器副边绕组耦合解决了辅助换流二极管Dc1和Dc2的过压问题。可以实现了主开关和辅助开关的零电压开通;有效提高效率和功率密度,降低成本和EMI。

Figure 202010302226

The invention discloses an auxiliary resonant commutating pole inverter whose phase-related magnetizing current is bidirectionally reset, which realizes the advantages of zero-voltage turn-on of the main switch tube and reduces the switching loss of the main switch. It also realizes zero-voltage turn-on through the energy storage in the magnetizing inductance, and its withstand voltage value is much smaller than that of the main switch; and the magnetizing current reset is reliably realized in each switching cycle, which effectively reduces the volume of the transformer; the secondary side of the transformer The winding coupling solves the overvoltage problem of the auxiliary commutating diodes D c1 and D c2 . The zero-voltage turn-on of the main switch and the auxiliary switch can be realized; the efficiency and power density are effectively improved, and the cost and EMI are reduced.

Figure 202010302226

Description

一种相位关联磁化电流双向复位的辅助谐振换流极逆变器An auxiliary resonant commutated pole inverter with bidirectional reset of phase-dependent magnetizing current

技术领域technical field

本发明涉及电力电子变流技术领域,尤其涉及一种相位关联磁化电流双向复位的辅助谐振换流极逆变器。The invention relates to the technical field of power electronic converters, in particular to an auxiliary resonant commutating pole inverter with phase-related magnetizing current bidirectional reset.

背景技术Background technique

电压源型逆变器(VSI),本质上是一个全控型开关半桥构成的同步整流型升降压变换器,广泛应用于各种功率等级的应用中,例如:电机驱动器,有源电力滤波器,不间断电源(UPS),光伏电源系统,燃料电池电源系统和分布式电网等。其研究核心是提高效率和功率密度。Voltage Source Inverter (VSI), which is essentially a synchronous rectification buck-boost converter composed of a fully controlled switching half-bridge, is widely used in applications of various power levels, such as motor drives, active power Filters, uninterruptible power supplies (UPS), photovoltaic power systems, fuel cell power systems and distributed power grids, etc. The core of its research is to improve efficiency and power density.

在硬开关条件下,通常通过增加开关频率减小无源元件(例如滤波电感器和电容器)的尺寸和重量来提高功率密度,但增加开关频率会导致开关损耗和高频电磁干扰(EMI)的增加,进而降低逆变器的效率。在VSI中,电路为一个逆变半桥和连在半桥中点的电感;硬开关时,续流模式之后,将要开通的开关管在开通瞬间反并联二极管和输出电容中储存的能量Qrr,Qoss释放到开关管的沟道中从而产生尖峰电流,开通损耗和高频电磁干扰(EMI)。克服上述问题(开关损耗和EMI)一种方法是开关器件技术进步,另一种方法是软开关拓扑技术。Under hard switching conditions, power density is usually increased by increasing the switching frequency and reducing the size and weight of passive components such as filter inductors and capacitors, but increasing the switching frequency results in switching losses and high frequency electromagnetic interference (EMI). increase, thereby reducing the efficiency of the inverter. In VSI, the circuit is an inverter half-bridge and an inductor connected to the mid-point of the half-bridge; during hard switching, after the freewheeling mode, the energy Qrr stored in the anti-parallel diode and the output capacitor of the switch to be turned on at the moment of turning on, Qoss is released into the channel of the switch tube to generate peak current, turn-on loss and high-frequency electromagnetic interference (EMI). One way to overcome the above problems (switching losses and EMI) is the advancement of switching device technology, and the other is the soft-switching topology technology.

宽禁带半导体例如SiC和GaN相对于传统的Si功率半导体有更快的开通和关断时间,更低的关断损耗和更低的寄生电容;但更快的开关时间会造成更大的高频电磁干扰(EMI)。另外SiC存在栅极开通和关断条件苛刻,成本高等问题。Compared with traditional Si power semiconductors, wide bandgap semiconductors such as SiC and GaN have faster turn-on and turn-off times, lower turn-off losses and lower parasitic capacitance; frequency electromagnetic interference (EMI). In addition, SiC has the problems of harsh gate turn-on and turn-off conditions and high cost.

软开关拓扑技术可以在高开关频率下降低开关损耗和EMI。软开关拓扑是通过增加辅助电路将开关管的电流和电压的过渡沿去耦的方法来降低开关损耗。在众多软开关逆变器拓扑中,辅助谐振极软开关逆变器由于没有额外增加主回路中开关管的电压和电流应力且辅助回路仅在开关管换流时工作不影响主电路的正常运行而受到普遍认可。Soft-switching topologies can reduce switching losses and EMI at high switching frequencies. The soft switching topology reduces switching losses by adding auxiliary circuits to decouple the transition edges of the current and voltage of the switch. In many soft-switching inverter topologies, the auxiliary resonant pole soft-switching inverter does not affect the normal operation of the main circuit because it does not increase the voltage and current stress of the switch tubes in the main loop and the auxiliary loop only works when the switch tubes are commutated. is generally recognized.

已有技术,见IEEE Transactions on Power Electronics杂志2010年第25卷第4期刊登的“An Improved Zero-Voltage Switching Inverter Using Two CoupledMagnetics in One Resonant Pole”一文,该双耦合电感(ZVT-2CI)电路可以实现主开关零电压开通和辅助开关零电流开关并解决了激磁电流不能复位的问题。换流二极管无钳位措施,在谐振电流降至0后会造成换流二极管两端承受电压约为2倍的直流母线电压,且会引起二极管未钳位端电位振荡;已有技术,见IEEE 201315th European Conference onPower Electronics and Applications(EPE)的New topology of three phase softswitching inverter using a dual auxiliary circuit一文,可以实现主开关零电压开通和辅助开关零电流开关通过断开激磁电流的续流路径从而复位磁化电流。但二极管串联在大电流回路上会增加额外的损耗。上述两种方法一个耦合电感只能实现一个主开关管的零电压开通,因此需要在一个辅助电路中使用两个耦合电感,因此增加了变压器的体积、成本和漏感损耗。For the prior art, see the article "An Improved Zero-Voltage Switching Inverter Using Two CoupledMagnetics in One Resonant Pole" published in IEEE Transactions on Power Electronics, Vol. 25, No. 4, 2010. The double coupled inductor (ZVT-2CI) circuit can It realizes the zero-voltage turn-on of the main switch and the zero-current switch of the auxiliary switch and solves the problem that the excitation current cannot be reset. The commutator diode has no clamping measures. After the resonant current drops to 0, it will cause the DC bus voltage at both ends of the commutator diode to bear about twice the voltage, and it will cause the potential oscillation of the unclamped end of the diode; for the prior art, see IEEE 201315th European Conference on Power Electronics and Applications (EPE) New topology of three phase softswitching inverter using a dual auxiliary circuit, which can realize zero-voltage turn-on of the main switch and zero-current switch of the auxiliary switch to reset the magnetization by disconnecting the freewheeling path of the excitation current current. But diodes in series on high current loops will add additional losses. In the above two methods, one coupled inductor can only realize zero-voltage turn-on of one main switch tube, so two coupled inductors need to be used in one auxiliary circuit, thus increasing the volume, cost and leakage inductance loss of the transformer.

发明内容SUMMARY OF THE INVENTION

为解决现有技术的缺点和不足,本发明的电路利用相位关联法保持了已有技术,实现了主开关和辅助开关的零电压开通;有效提高效率和功率密度,降低成本和EMI。In order to solve the shortcomings and deficiencies of the prior art, the circuit of the present invention maintains the prior art by using the phase correlation method, realizes the zero-voltage turn-on of the main switch and the auxiliary switch, effectively improves the efficiency and power density, and reduces the cost and EMI.

为实现本发明目的而提供的一种相位关联磁化电流双向复位的辅助谐振换流极逆变器,包括有第一主开关管(S1)、第二主开关管(S2)、第一换流二极管(Dc1)、第二换流二极管(Dc2)、直流电源(VDC)、辅助电源(VAUX)、负载(Load)、激磁电感(Lm)、第一分压电容Cd1、第二分压电容Cd2、谐振电感(Lr)、辅助换流变压器副边第一绕组(T2)、辅助换流变压器副边第二绕组(T3)、第一辅助开关管(Sa1)、第二辅助开关管(Sa2)、第三辅助开关管(Sa3)、第四辅助开关管(Sa4)、超前桥臂(AC-Lag)、滞后桥臂(AC-Lead);所述第一主开关管(S1)的源极、第二主开关管(S2)的漏极相连于O点,这两个开关管构成主开关桥臂;第一主开关管(S1)的漏极,第一换流二极管(Dc1)的负极,与直流电源(VDC)正极相连;直流电源(VDC)的负极与第二主开关管(S2)的源极,第二换流二极管(Dc2)的正极相连;负载(Load)的一端与主开关桥臂中点O点相连,另一端与两个第一分压电容Cd1、第二分压电容Cd2的中点相连;谐振电感(Lr)的一端和主开关桥臂的中点O点相连,另一端和辅助换流变压器副边第一绕组(T2)的异名端、辅助换流变压器副边第二绕组(T3)的同名端相连于P点;辅助换流变压器副边第一绕组(T2)的同名端和第一换流二极管(Dc1)的正极相连;辅助换流变压器副边第二绕组(T3)的异名端和第二换流二极管(Dc2)的负极相连;第一辅助开关管(Sa1)的源极和第二辅助开关管(Sa2)的漏极相连于Q点,这两个开关管构成换流辅助电路的超前桥臂(AC-Lag);第三辅助开关管(Sa3)的源极和第四辅助开关管(Sa4)的漏极相连于R点,这两个开关管构成换流辅助电路的滞后桥臂(AC-Lead);第一辅助开关管(Sa1)的漏极和第三辅助开关管(Sa3)的漏极与辅助电源(VAUX)的正极相连,辅助电源(VAUX)的负极与第二辅助开关管(Sa2)的源极,第四辅助开关管(Sa4)的源极相连;辅助换流变压器原边绕组(T1)的同名端与超前辅助开关桥臂的中点Q点相连,异名端与滞后辅助开关桥臂的中点R点相连;激磁电感(Lm)并联于辅助换流变压器原边绕组(T1)两端;辅助换流变压器副边第一绕组(T2)和第二绕组(T3)的匝数相同,辅助换流变压器原边绕组(T1)的匝数与T2(或T3)的匝数比为1/n。To achieve the purpose of the present invention, an auxiliary resonant commutated pole inverter with bidirectional reset of phase-related magnetizing current is provided, comprising a first main switch tube (S 1 ), a second main switch tube (S 2 ), a first main switch tube (S 2 ), a first main switch tube (S 2 ), a first main switch tube (S 2 ), Commutation diode (D c1 ), second commutation diode (D c2 ), DC power supply (V DC ), auxiliary power supply (V AUX ), load (Load), magnetizing inductance (L m ), first voltage dividing capacitor C d1 , the second voltage dividing capacitor C d2 , the resonant inductance (L r ), the first winding (T 2 ) on the secondary side of the auxiliary converter transformer, the second winding (T 3 ) on the secondary side of the auxiliary converter transformer, and the first auxiliary switch tube (S a1 ), the second auxiliary switch tube (S a2 ), the third auxiliary switch tube (S a3 ), the fourth auxiliary switch tube (S a4 ), the lead bridge arm (AC-Lag), the lag bridge arm (AC- Lead); the source of the first main switch tube (S 1 ) and the drain of the second main switch tube (S 2 ) are connected to point O, and these two switch tubes constitute the main switch bridge arm; the first main switch The drain of the tube (S 1 ) and the negative pole of the first commutation diode (D c1 ) are connected to the positive pole of the DC power supply (V DC ); the negative pole of the DC power supply (V DC ) is connected to the negative pole of the second main switch tube (S 2 ). The source is connected to the anode of the second commutation diode (D c2 ); one end of the load (Load) is connected to the midpoint O point of the main switch bridge arm, and the other end is connected to the two first voltage dividing capacitors C d1 and the second voltage dividing The midpoint of the capacitor C d2 is connected; one end of the resonant inductance (L r ) is connected to the midpoint O of the main switch bridge arm, and the other end is connected to the synonymous end of the first winding (T 2 ) on the secondary side of the auxiliary converter transformer, the auxiliary The same name end of the second winding (T 3 ) on the secondary side of the converter transformer is connected to point P; the same name end of the first winding (T 2 ) on the secondary side of the auxiliary converter transformer is connected with the positive electrode of the first converter diode (D c1 ); The synonym end of the second winding (T 3 ) on the secondary side of the auxiliary converter transformer is connected to the negative electrode of the second converter diode (D c2 ); the source of the first auxiliary switch tube (S a1 ) is connected to the second auxiliary switch tube ( The drain of S a2 ) is connected to point Q, and these two switches constitute the leading bridge arm (AC-Lag) of the commutation auxiliary circuit; the source of the third auxiliary switch (S a3 ) and the fourth auxiliary switch ( The drain of S a4 ) is connected to point R, and the two switches constitute the hysteresis bridge arm (AC-Lead) of the commutation auxiliary circuit; the drain of the first auxiliary switch (S a1 ) and the third auxiliary switch ( The drain of S a3 ) is connected to the positive pole of the auxiliary power supply (V AUX ), the negative pole of the auxiliary power supply (V AUX ) is connected to the source of the second auxiliary switch tube (S a2 ), and the source of the fourth auxiliary switch tube (S a4 ) poles are connected; the same-named end of the primary winding (T1) of the auxiliary converter transformer is connected to the midpoint Q of the leading auxiliary switch arm, and the synonymous end is connected to the midpoint R of the lagging auxiliary switch arm; the excitation inductance (L m ) in parallel at both ends of the primary winding (T1) of the auxiliary converter transformer; the number of turns of the first winding (T 2 ) and the second winding (T 3 ) on the secondary side of the auxiliary converter transformer are the same, and the primary winding (T 3 ) of the auxiliary converter transformer has the same number of turns. The ratio of the number of turns of T1) to the number of turns of T2 (or T3) is 1 /n.

作为上述方案的进一步改进,当负载电流为正时工作模式及切换时间间隔为:As a further improvement of the above scheme, when the load current is positive, the working mode and the switching time interval are:

电路处于稳定状态,S2、Sa1、Sa3处于导通状态,S1、Sa2、Sa4处于关断状态;换流二极管DN1、DN2和开关管的反并联二极管处于关断状态;The circuit is in a stable state, S 2 , S a1 , and S a3 are in a conducting state, and S 1 , S a2 , and S a4 are in an off state; the commutation diodes DN1 , DN2 and the anti-parallel diodes of the switch tubes are in an off state;

t0时刻,关断Sa3At time t0, turn off Sa3 ;

Sa3关断后延迟DP1,导通Sa4After S a3 is turned off, delay DP1 and turn on S a4 ;

Figure BDA0002454425950000041
Figure BDA0002454425950000041

Sa4导通后延迟DP2,关断S2After S a4 is turned on, DP2 is delayed, and S 2 is turned off;

Figure BDA0002454425950000042
Figure BDA0002454425950000042

S2关断后延迟DP3,导通S1After S2 is turned off, delay DP3 and turn on S1 ;

Figure BDA0002454425950000043
Figure BDA0002454425950000043

S1导通后延迟DP4,关断Sa1After S1 is turned on , delay DP4, and turn off S a1 ;

Figure BDA0002454425950000044
Figure BDA0002454425950000044

Sa1关断后延迟DP5,导通Sa2After S a1 is turned off, delay DP5 and turn on S a2 ;

Figure BDA0002454425950000045
Figure BDA0002454425950000045

S1导通后延迟Ton,关断S1After S 1 is turned on, delay T on , and turn off S 1 ;

S1关断后延迟DP6,导通S2After S1 is turned off, delay DP6 and turn on S2 ;

Figure BDA0002454425950000046
Figure BDA0002454425950000046

在t0时刻即Sa3关断后延迟TSW/2,关断Sa4At time t0, that is, after S a3 is turned off, delay T SW /2, and turn off S a4 ;

Sa4关断后延迟DP7,导通Sa3After S a4 is turned off, DP7 is delayed, and S a3 is turned on;

Figure BDA0002454425950000051
Figure BDA0002454425950000051

Sa3导通后延迟DP8,关断Sa2After S a3 is turned on, delay DP8, and turn off S a2 ;

Figure BDA0002454425950000052
Figure BDA0002454425950000052

关断Sa2延迟DP9,导通Sa1Turn off S a2 , delay DP9, and turn on S a1 ;

Figure BDA0002454425950000053
Figure BDA0002454425950000053

负载电流为负时工作模式及切换时间间隔为:When the load current is negative, the working mode and switching time interval are:

电路处于稳定状态,S1、Sa1、Sa3处于导通状态,S2、Sa2、Sa4处于关断状态;换流二极管DN1、DN2和开关管反并联二极管处于关断状态;The circuit is in a stable state, S 1 , S a1 , and S a3 are in an on state, and S 2 , S a2 , and S a4 are in an off state; the commutation diodes DN1, DN2 and the anti-parallel diodes of the switch tubes are in an off state;

t0时刻,关断Sa3At time t0, turn off Sa3 ;

Sa3关断后延迟DN1,导通Sa4After S a3 is turned off, DN1 is delayed, and S a4 is turned on;

Figure BDA0002454425950000054
Figure BDA0002454425950000054

Sa4导通后延迟DN2,关断S1After S a4 is turned on, DN2 is delayed, and S 1 is turned off;

Figure BDA0002454425950000055
Figure BDA0002454425950000055

S2关断后延迟DN3,导通S2After S2 is turned off, delay DN3 and turn on S2 ;

Figure BDA0002454425950000056
Figure BDA0002454425950000056

S1导通后延迟DN4,关断Sa1After S1 is turned on , DN4 is delayed, and S a1 is turned off;

Figure BDA0002454425950000061
Figure BDA0002454425950000061

Sa1关断后延迟DN5,导通Sa2After S a1 is turned off, DN5 is delayed, and S a2 is turned on;

Figure BDA0002454425950000062
Figure BDA0002454425950000062

S2导通后延迟Ton,关断S2Delay T on after S 2 is turned on, and turn off S 2 ;

S2关断后延迟DP6,导通S1After S2 is turned off, delay DP6 and turn on S1 ;

Figure BDA0002454425950000063
Figure BDA0002454425950000063

在t0时刻即Sa3关断后延迟TSW/2,关断Sa4At time t0, that is, after S a3 is turned off, delay T SW /2, and turn off S a4 ;

Sa4关断后延迟DN7,导通Sa3After S a4 is turned off, DN7 is delayed, and S a3 is turned on;

Figure BDA0002454425950000064
Figure BDA0002454425950000064

Sa3导通后延迟DN8,关断Sa2After S a3 is turned on, DN8 is delayed, and S a2 is turned off;

Figure BDA0002454425950000065
Figure BDA0002454425950000065

关断Sa2延迟DN9,导通Sa1Turn off S a2 , delay DN9, and turn on S a1 ;

Figure BDA0002454425950000066
Figure BDA0002454425950000066

以上各个公式中,输入量的相关参数如下:VDC为直流母线电压;VAUX为辅助电源电压;T1A_min为Sa4最短ZVS开通时间;T3B为S1(S2)最短开通时间;Ir为换流电流峰值中超过负载电流的部分;Cm_oss为主开关管S1-S2并联吸收电容:Cm_oss=C1=C2;Ca_oss为辅助开关管Sa1-Sa4并联吸收电容:Ca_oss=Ca1=Ca2=Ca3=Ca4In the above formulas, the relevant parameters of the input quantities are as follows: V DC is the DC bus voltage; V AUX is the auxiliary power supply voltage; T 1A_min is the shortest ZVS turn-on time of S a4 ; T 3B is the shortest turn-on time of S 1 (S 2 ); I r is the part of the peak value of commutation current that exceeds the load current; C m_oss is the parallel absorption capacitor of the main switch tubes S 1 -S 2 : C m_oss =C 1 =C 2 ; C a_oss is the parallel absorption of the auxiliary switch tubes S a1 -S a4 Capacitance: C a_oss =C a1 =C a2 =C a3 =C a4 ;

以下参数均可根据输入量约束表达;V′AUX为变压器副边电压;Lr为换流电感;Lm为激磁电感;

Figure BDA0002454425950000067
为辅助开关换流前的激磁电流值,与每个开关周期中的负载电流值成正相关;The following parameters can be expressed according to the input constraints; V' AUX is the secondary voltage of the transformer; L r is the commutation inductance; L m is the magnetizing inductance;
Figure BDA0002454425950000067
is the excitation current value of the auxiliary switch before commutation, which is positively related to the load current value in each switching cycle;

Figure BDA0002454425950000071
Figure BDA0002454425950000071

Figure BDA0002454425950000072
Figure BDA0002454425950000072

Figure BDA0002454425950000073
Figure BDA0002454425950000073

Figure BDA0002454425950000074
Figure BDA0002454425950000074

其中T14_min为忽略换流电流充电前的电流变化后,将iLoad=0代入,之和所得的t1-t4的时间间隔;T1A_min为负载电流为0时,Sa4ZVS开通时间T1A的值。Wherein T 14_min is the time interval between t 1 and t 4 obtained by substituting i Load = 0 after ignoring the current change before charging by the commutating current; T 1A_min is the on-time T of S a4 ZVS when the load current is zero 1A value.

作为上述方案的进一步改进,所述辅助开关管Sa1-Sa4的体寄生电容与外部并联吸收电容Ca1-Ca4取值相同,之后公式中使用Ca_oss表示;主开关管S1-S2的体寄生电容与外部并联吸收电容C1-C2取值相同,之后公式中使用Cm_oss表示;以下分别对输出电流为正和为负两种情况进行分析;由于负载电感足够大,所以认为在一个PWM开关周期内负载电流恒定不变;输出电流为正时各模式具体描述和间隔时间的计算过程为:As a further improvement of the above scheme, the bulk parasitic capacitances of the auxiliary switch transistors S a1 -S a4 are the same as the external parallel absorption capacitors C a1 -C a4 , and are represented by Ca_oss in the following formula; the main switch transistors S 1 -S 2 The parasitic capacitance of the body is the same as the external parallel absorption capacitor C1-C2, which is then expressed by Cm_oss in the formula; the following two cases are analyzed for the output current is positive and negative; because the load inductance is large enough, it is considered that in a PWM switch The load current is constant during the cycle; when the output current is positive, the specific description of each mode and the calculation process of the interval time are as follows:

模式1(t<t0):电路处于稳定状态,S2处于导通状态;负载电流ILoad通过S2续流,Sa1、Sa3导通,激磁电流iLm通过Sa1、Sa3续流,其值为

Figure BDA0002454425950000075
Mode 1 (t<t0): The circuit is in a stable state, and S 2 is in a conducting state; the load current I Load is freewheeling through S 2 , S a1 and S a3 are turned on, and the excitation current iL m is freewheeling through S a1 and S a3 , whose value is
Figure BDA0002454425950000075

模式2(t0-t1):t0时刻,关断Sa3;换流电感Lr通过变压器和激磁电感Lm并联后与辅助电容Ca3、Ca4发生谐振,R点电位下降;换流电感电流

Figure BDA0002454425950000081
从零开始增加;激磁电流
Figure BDA0002454425950000082
向正方向变化;Mode 2 (t0-t1): at time t0, S a3 is turned off; the commutation inductance L r resonates with the auxiliary capacitors C a3 and C a4 through the transformer and the magnetizing inductance L m in parallel, and the potential at point R drops; the commutation inductance current
Figure BDA0002454425950000081
Increase from zero; magnetizing current
Figure BDA0002454425950000082
change in the positive direction;

本模式Sa3两端电压vSa3和原边绕组电流

Figure BDA0002454425950000083
表达式为:In this mode, the voltage at both ends of Sa3 v Sa3 and the primary winding current
Figure BDA0002454425950000083
The expression is:

Figure BDA0002454425950000084
Figure BDA0002454425950000084

Figure BDA0002454425950000085
Figure BDA0002454425950000085

根据电感电流瞬时值与端电压积分和电流初值的关系,激磁电感电流

Figure BDA0002454425950000086
和换流电流
Figure BDA0002454425950000087
According to the relationship between the instantaneous value of the inductor current, the terminal voltage integral and the initial value of the current, the magnetizing inductor current
Figure BDA0002454425950000086
and commutation current
Figure BDA0002454425950000087

Figure BDA0002454425950000088
Figure BDA0002454425950000088

Figure BDA0002454425950000089
Figure BDA0002454425950000089

其中ωa为谐振角频率:where ω a is the resonant angular frequency:

Figure BDA00024544259500000810
Figure BDA00024544259500000810

在t1时刻,Sa3两端电压谐振到VAUX,根据本谐振模式的时间为:At time t1, the voltage across Sa3 resonates to V AUX , and the time according to this resonance mode is:

Figure BDA00024544259500000811
Figure BDA00024544259500000811

模式3(t1-T2):t1时刻,R点电位降至0,Da4自然导通,Sa4达到ZVS换流条件,激磁电感两端电压与电流方向反向,激磁电流大小线性减少;换流电感电流线性增加;tA时刻,原边绕组电流减少至零,Sa4可在时间段t1-tA之间控制导通为ZVS导通;Mode 3 (t1-T 2 ): At t1, the potential of point R drops to 0, Da4 is naturally turned on, Sa4 reaches the ZVS commutation condition, the voltage and current directions at both ends of the magnetizing inductor are reversed, and the magnitude of the magnetizing current decreases linearly; The inductance current increases linearly; at t A , the primary winding current decreases to zero, and Sa4 can be controlled to conduct ZVS during the time period t1-tA;

本模式原边绕组电流为:The primary winding current in this mode is:

Figure BDA0002454425950000091
Figure BDA0002454425950000091

辅助管Sa4的软开通时间为:The soft turn-on time of the auxiliary tube S a4 is:

Figure BDA0002454425950000092
Figure BDA0002454425950000092

Sa3关断到Sa4导通时间间隔DP1为:;The time interval DP1 from when S a3 is turned off to when S a4 is turned on is:

Figure BDA0002454425950000093
Figure BDA0002454425950000093

充电模式(t1-t2)换流电感电流为:The charging mode (t 1 -t 2 ) commutation inductor current is:

Figure BDA0002454425950000094
Figure BDA0002454425950000094

其中:V′AUX为变压器副边电压;Among them: V' AUX is the secondary voltage of the transformer;

t2时刻,换流电流

Figure BDA0002454425950000095
的值增至最大值:At time t2 , the commutation current
Figure BDA0002454425950000095
to the maximum value:

iLr(t2)=Ir+iLoad\*MERGEFORMAT(33)i Lr (t 2 )=I r +i Load \*MERGEFORMAT(33)

其中:Ir为换流电流

Figure BDA0002454425950000096
中超过负载电流的部分Where: I r is the commutation current
Figure BDA0002454425950000096
the part that exceeds the load current

联立、,充电模式(T1-2)的持续时间为:Simultaneously, the duration of the charging mode (T 1-2 ) is:

Figure BDA0002454425950000097
Figure BDA0002454425950000097

Sa4导通到S2关断时间间隔DP2为:The time interval DP2 from the turn-on of S a4 to the turn-off of S 2 is:

Figure BDA0002454425950000098
Figure BDA0002454425950000098

模式4(T2-T3):T2时刻,主开关S2关断,换流电感电流iLr中超过负载电流的部分Ir对电容C1放电C2充电,O点的电位开始谐振上升;Mode 4 (T 2 -T 3 ): At time T 2 , the main switch S 2 is turned off, and the part I r of the commutation inductor current i Lr that exceeds the load current discharges the capacitor C1 and charges the capacitor C2, and the potential at point O begins to resonate and rise;

O点电位vO和换流电流iLr表达式为:O point potential v O and commutation current i Lr are expressed as:

Figure BDA0002454425950000099
Figure BDA0002454425950000099

Figure BDA00024544259500000910
Figure BDA00024544259500000910

其中:in:

Figure BDA0002454425950000101
Figure BDA0002454425950000101

t3时刻,O点电位上升至VDC;本模式持续时间为:At time t3 , the potential of point O rises to V DC ; the duration of this mode is:

Figure BDA0002454425950000102
Figure BDA0002454425950000102

其中:in:

Figure BDA0002454425950000103
Figure BDA0002454425950000103

模式5(T3-t4):T3时刻,O点电位升至VDC,D1自然导通,S1符合ZVS换流条件;换流电感电流iLr线性下降,tB时刻,换流电感电流iLr降至负载电流iLoad;主开关管S1可在时间段T3-tB之间控制导通实现ZVS导通;Mode 5 (T3 - t4): At time T3, the potential at point O rises to V DC , D1 is naturally turned on , and S1 meets the ZVS commutation conditions; the commutation inductor current iL r decreases linearly, and at tB, the commutation inductor current iL r is reduced to the load current iLoad; the main switch tube S 1 can be controlled to conduct between the time period T 3 -tB to realize ZVS conduction;

由,得:主开关ZVS开通模式持续时间为:By, get: the main switch ZVS open mode duration is:

Figure BDA0002454425950000104
Figure BDA0002454425950000104

S2关断到S1导通时间间隔DP3为: The time interval DP3 from when S2 is turned off to when S1 is turned on is:

Figure BDA0002454425950000105
Figure BDA0002454425950000105

本模式持续时间为:The duration of this mode is:

Figure BDA0002454425950000106
Figure BDA0002454425950000106

S1导通到Sa1关断时间间隔DP4为:The time interval DP4 from when S 1 is turned on to when S a1 is turned off is:

Figure BDA0002454425950000107
Figure BDA0002454425950000107

模式6(t4-t6):在t4时刻,换流电感电流iLr降至0A,关断Sa1,激磁电流iLm增至

Figure BDA0002454425950000108
激磁电流
Figure BDA0002454425950000109
对Ca1充电Ca2放电,Q点电位开始近似线性下降;t5时刻,Q点电位降到0,Da2自然导通;Mode 6 (t4-t6): At time t4, the commutation inductor current iL r drops to 0A, S a1 is turned off, and the excitation current iL m increases to
Figure BDA0002454425950000108
Exciting current
Figure BDA0002454425950000109
When C a1 is charged and C a2 is discharged, the potential of Q point begins to decrease approximately linearly; at t5 time, the potential of Q point drops to 0, and Da2 is naturally turned on;

t5-t6由PWM控制需要确定,Sa2可在t5-t6之间控制导通;t5-t6 is determined by PWM control needs, and S a2 can be controlled to conduct between t5-t6;

t4-t5持续时间为:The t 4 -t 5 durations are:

Figure BDA0002454425950000111
Figure BDA0002454425950000111

Sa1关断到Sa2导通时间间隔DP5为:The time interval DP5 from when S a1 is turned off to when S a2 is turned on is:

DP5=T4-5\*MERGEFORMAT(46)DP5=T 4-5 \*MERGEFORMAT(46)

模式7(t6-t8):t6时刻,关断S1,负载电流iLoad对C1充电,C2放电,O点电位线性下降;t7时刻,O点电位降至0,二极管D2自然导通;S2可在t7之后控制导通;Mode 7 (t6-t8): At time t6, S 1 is turned off, the load current i Load charges C1, discharges C2, and the potential of point O decreases linearly; at time t7, the potential of point O drops to 0, and the diode D2 is naturally turned on; S 2 can be turned on after t7;

t6-t7持续时间为:The t 6 -t 7 durations are:

Figure BDA0002454425950000112
Figure BDA0002454425950000112

S1关断到S2导通时间间隔DP6为: The time interval DP6 from when S1 is turned off to when S2 is turned on is:

DP6=T6-7\*MERGEFORMAT(48)DP6=T 6-7 \*MERGEFORMAT(48)

模式8(t8-t9):t8时刻,关断Sa4,激磁电流

Figure BDA0002454425950000113
对Ca4充电Ca3放电,R点电位开始上升;Mode 8 (t8-t9): At time t8, turn off Sa4 , the excitation current
Figure BDA0002454425950000113
Charge C a4 and discharge C a3 , the potential of R point begins to rise;

R点电位vR和电流

Figure BDA0002454425950000114
表达式为:R point potential v R and current
Figure BDA0002454425950000114
The expression is:

Figure BDA0002454425950000115
Figure BDA0002454425950000115

Figure BDA0002454425950000116
Figure BDA0002454425950000116

其中:in:

Figure BDA0002454425950000117
Figure BDA0002454425950000117

在t9时刻,R点电位谐振至VAUX,本模式持续时间为:At time t 9 , the potential at point R resonates to V AUX , and the duration of this mode is:

Figure BDA0002454425950000121
Figure BDA0002454425950000121

模式9(t9-t10):t9时刻,R点电位升至VAUXDa3自然导通,Sa3达到ZVS换流条件,tC时刻,激磁电流减少至零;Sa3可在时间段T9C之间控制导通;Mode 9 (t9-t10): At t9, the potential at point R rises to V AUX Da3 turns on naturally, S a3 reaches the ZVS commutation condition, and at tC, the excitation current decreases to zero; S a3 can be controlled between time periods T9C turn on;

本模式励磁电流为:The excitation current in this mode is:

Figure BDA0002454425950000122
Figure BDA0002454425950000122

Sa3的软开通时间为:The soft turn-on time of S a3 is:

Figure BDA0002454425950000123
Figure BDA0002454425950000123

Sa4关断到Sa3导通时间间隔DP7为:The time interval DP7 from when S a4 is turned off to when S a3 is turned on is:

Figure BDA0002454425950000124
Figure BDA0002454425950000124

t10时刻,励磁电流

Figure BDA0002454425950000125
增至
Figure BDA0002454425950000126
本模式持续时间为:At time t 10 , the excitation current
Figure BDA0002454425950000125
increase to
Figure BDA0002454425950000126
The duration of this mode is:

Figure BDA0002454425950000127
Figure BDA0002454425950000127

Sa3导通到Sa2关断时间间隔DP8为:The time interval DP8 from when S a3 is turned on to when S a2 is turned off is:

Figure BDA0002454425950000128
Figure BDA0002454425950000128

模式10(t10-t11):t10时刻,关断Sa2;辅助换流变压器激磁电流

Figure BDA0002454425950000129
对Ca2充电Ca1放电,Q点电位近似线性上升;t11时刻,P点电位升至VAUX,Da1自然导通;在下一个开关周期之前控制导通Sa1;Mode 10 (t10-t11): at time t10, turn off Sa2 ; auxiliary converter transformer excitation current
Figure BDA0002454425950000129
When C a2 is charged and C a1 is discharged, the potential of point Q rises approximately linearly; at time t11, the potential of point P rises to V AUX , and Da1 is naturally turned on; before the next switching cycle, S a1 is controlled to be turned on;

本模式持续时间为:The duration of this mode is:

Figure BDA00024544259500001210
Figure BDA00024544259500001210

Sa2关断到Sa1导通时间间隔DP9为:The time interval DP9 from when S a2 is turned off to when S a1 is turned on is:

DP9=T10-11\*MERGEFORMAT(59)DP9=T 10-11 \*MERGEFORMAT(59)

输出电流为负时各模式具体描述和间隔时间的计算过程为:When the output current is negative, the specific description of each mode and the calculation process of the interval time are as follows:

模式1(t<t0):电路处于稳定状态,S1处于导通状态;负载电流ILoad通过S1续流,Sa1、Sa3导通,激磁电流iLm通过Sa1、Sa3续流,其值为

Figure BDA0002454425950000131
Mode 1 (t<t0): The circuit is in a stable state, and S 1 is in a conducting state; the load current I Load is freewheeling through S 1 , S a1 and S a3 are turned on, and the excitation current iL m is freewheeling through S a1 and S a3 , whose value is
Figure BDA0002454425950000131

模式2(t0-t1):t0时刻,关断Sa3;换流电感Lr通过变压器和激磁电感Lm并联后与辅助电容Ca3、Ca4发生谐振,R点电位下降,等效电路图如图6所示;换流电感电流

Figure BDA0002454425950000132
从零开始增加;激磁电流
Figure BDA0002454425950000133
向正变化;Mode 2 (t0-t1): At time t0, S a3 is turned off; the commutating inductance L r is connected in parallel with the auxiliary capacitors C a3 and C a4 through the transformer and the magnetizing inductance L m , and the potential of the R point drops. The equivalent circuit diagram is as follows Figure 6; commutation inductor current
Figure BDA0002454425950000132
Increase from zero; magnetizing current
Figure BDA0002454425950000133
positive change

本模式Sa3两端电压vSa3和原边绕组电流iN,表达式为:In this mode, the voltage v Sa3 across both ends of Sa3 and the primary winding current i N are expressed as:

Figure BDA0002454425950000134
Figure BDA0002454425950000134

Figure BDA0002454425950000135
Figure BDA0002454425950000135

根据电感电流瞬时值与端电压积分和电流初值的关系,激磁电感电流

Figure BDA0002454425950000136
和换流电流
Figure BDA0002454425950000137
According to the relationship between the instantaneous value of the inductor current, the terminal voltage integral and the initial value of the current, the magnetizing inductor current
Figure BDA0002454425950000136
and commutation current
Figure BDA0002454425950000137

Figure BDA0002454425950000138
Figure BDA0002454425950000138

Figure BDA0002454425950000139
Figure BDA0002454425950000139

其中ωa为谐振角频率:where ω a is the resonant angular frequency:

Figure BDA00024544259500001310
Figure BDA00024544259500001310

在t1时刻,Sa3两端电压谐振到VAUX,根据本谐振模式的时间为:At time t1, the voltage across Sa3 resonates to V AUX , and the time according to this resonance mode is:

Figure BDA00024544259500001311
Figure BDA00024544259500001311

模式3(t1-T2):t1时刻,R点电位降至0,Da4自然导通,Sa4达到ZVS换流条件,图7为本模式的等效电路图;激磁电感两端电压与电流方向反向,激磁电流大小线性减少;换流电感电流线性增加;tA时刻,原边绕组电流减少至零,Sa4可在时间段t1-tA之间控制导通为ZVS导通;Mode 3 (t1-T 2 ): At t1, the potential at point R drops to 0, Da4 is naturally turned on, and Sa4 reaches the ZVS commutation condition. Figure 7 is the equivalent circuit diagram of this mode; the voltage and current directions at both ends of the magnetizing inductor In the reverse direction, the magnitude of the excitation current decreases linearly; the current of the commutation inductor increases linearly; at t A , the primary winding current decreases to zero, and Sa4 can be controlled to conduct ZVS during the time period t1-tA;

本模式原边绕组电流为:The primary winding current in this mode is:

Figure BDA0002454425950000141
Figure BDA0002454425950000141

辅助管Sa4的软开通时间为:The soft turn-on time of the auxiliary tube S a4 is:

Figure BDA0002454425950000142
Figure BDA0002454425950000142

Sa3关断到Sa4导通时间间隔DN1为:;The time interval DN1 from when S a3 is turned off to when S a4 is turned on is:

Figure BDA0002454425950000143
Figure BDA0002454425950000143

充电模式(t1-t2)换流电感电流为:The charging mode (t 1 -t 2 ) commutation inductor current is:

Figure BDA0002454425950000144
Figure BDA0002454425950000144

其中:V′AUX为变压器副边电压;Among them: V' AUX is the secondary voltage of the transformer;

t2时刻,换流电流

Figure BDA0002454425950000145
的值增至最大值:At time t2 , the commutation current
Figure BDA0002454425950000145
to the maximum value:

iLr(t2)=Ir+iLoad\*MERGEFORMAT(70)i Lr (t 2 )=I r +i Load \*MERGEFORMAT(70)

其中:Ir为换流电流

Figure BDA0002454425950000146
中超过负载电流的部分Where: I r is the commutation current
Figure BDA0002454425950000146
the part that exceeds the load current

联立、,充电模式(T1-2)的持续时间为:Simultaneously, the duration of the charging mode (T 1-2 ) is:

Figure BDA0002454425950000147
Figure BDA0002454425950000147

Sa4导通到S1关断时间间隔DN2为:The time interval DN2 from the turn-on of S a4 to the turn-off of S 1 is:

Figure BDA0002454425950000148
Figure BDA0002454425950000148

模式4(T2-T3):T2时刻,主开关S1关断,图8为本模式的等效电路图;换流电感电流iLr中超过负载电流的部分Ir对电容C2放电C1充电,O点的电位开始谐振下降;Mode 4 (T 2 -T 3 ) : At time T2, the main switch S 1 is turned off, and Figure 8 is the equivalent circuit diagram of this mode; the part I r of the commutation inductor current i Lr that exceeds the load current discharges the capacitor C2 C1 After charging, the potential at point O begins to resonate and drop;

O点电位vO和换流电流iLr表达式为:O point potential v O and commutation current i Lr are expressed as:

Figure BDA0002454425950000151
Figure BDA0002454425950000151

Figure BDA0002454425950000152
Figure BDA0002454425950000152

其中:in:

Figure BDA0002454425950000153
Figure BDA0002454425950000153

t3时刻,O点电位降至0;本模式持续时间为:At time t 3 , the potential of point O drops to 0; the duration of this mode is:

Figure BDA0002454425950000154
Figure BDA0002454425950000154

其中:in:

Figure BDA0002454425950000155
Figure BDA0002454425950000155

模式5(T3-t4):在T3时刻,D2自然导通,S2符合ZVS换流条件;换流电感电流iLr线性下降,tB时刻,换流电感电流iLr降至负载电流iLoad;主开关管S2可在时间段T3-tB之间控制导通;Mode 5 (T 3 -t4): At the time of T 3 , D2 is naturally turned on, and S 2 meets the ZVS commutation conditions; the commutation inductor current iL r decreases linearly, and at tB, the commutation inductor current iL r decreases to the load current iLoad ; The main switch tube S 2 can be controlled to conduct during the time period T 3 -tB;

由,得:主开关ZVS开通持续时间为:From, get: the main switch ZVS on duration is:

Figure BDA0002454425950000156
Figure BDA0002454425950000156

S1关断到S2导通时间间隔DN3为: The time interval DN3 from when S1 is turned off to when S2 is turned on is:

Figure BDA0002454425950000157
Figure BDA0002454425950000157

本模式持续时间为:The duration of this mode is:

Figure BDA0002454425950000158
Figure BDA0002454425950000158

S2导通到Sa1关断时间间隔DN4为:The time interval DN4 from the turn-on of S 2 to the turn-off of S a1 is:

Figure BDA0002454425950000159
Figure BDA0002454425950000159

模式6(t4-t6):在t4时刻,关断Sa1,换流电感电流iLr降至0A,激磁电流iLm反向增至

Figure BDA0002454425950000161
激磁电流
Figure BDA0002454425950000162
对Ca1充电Ca2放电,Q点电位开始近似线性下降;t5时刻,Q点电位降到0,Da2自然导通;t5-t6由PWM控制需要确定,Sa2可在t5-t6之间控制导通;Mode 6 (t4-t6): At time t4, S a1 is turned off, the commutation inductor current iL r drops to 0A, and the excitation current iL m reversely increases to
Figure BDA0002454425950000161
Exciting current
Figure BDA0002454425950000162
When C a1 is charged and C a2 is discharged, the potential of Q point begins to decrease approximately linearly; at t5 time, the potential of Q point drops to 0, and Da2 is naturally turned on; t5-t6 is determined by PWM control, and S a2 can be controlled between t5-t6 turn on;

t4-t5持续时间为:The t 4 -t 5 durations are:

Figure BDA0002454425950000163
Figure BDA0002454425950000163

Sa1关断到Sa2导通时间间隔DN5为:The time interval DN5 from when S a1 is turned off to when S a2 is turned on is:

DN5=T4-5\*MERGEFORMAT(83)DN5=T 4-5 \*MERGEFORMAT(83)

模式7(t6-t8):t6时刻,关断S2,负载电流iLoad对C2充电,C1放电,O点电线性下降;t7时刻,O点电位升至VDC,二极管D1自然导通;t7-t8由PWM控制需要确定,S1可在t7之后控制导通;Mode 7 (t6-t8): At time t6, S 2 is turned off, the load current i Load charges C2, C1 discharges, and the line at point O decreases; at time t7, the potential at point O rises to V DC , and diode D1 is naturally turned on; t7-t8 is determined by PWM control needs, and S1 can be controlled to be turned on after t7;

t6-t7持续时间为:The t 6 -t 7 durations are:

Figure BDA0002454425950000164
Figure BDA0002454425950000164

S2关断到S1导通时间间隔DN6为: The time interval DN6 from when S2 is turned off to when S1 is turned on is:

DN6=T6-7\*MERGEFORMAT(85)DN6=T 6-7 \*MERGEFORMAT(85)

模式8(t8-t9):t8时刻,关断Sa4,本模式的等效电路图如图9所示,激磁电流

Figure BDA0002454425950000165
对Ca4充电Ca3放电,R点电位开始上升;Mode 8 (t8-t9): At time t8, S a4 is turned off. The equivalent circuit diagram of this mode is shown in Figure 9. The excitation current
Figure BDA0002454425950000165
Charge C a4 and discharge C a3 , the potential of R point begins to rise;

R点电位vR和电流

Figure BDA0002454425950000166
表达式为:R point potential v R and current
Figure BDA0002454425950000166
The expression is:

Figure BDA0002454425950000167
Figure BDA0002454425950000167

Figure BDA0002454425950000168
Figure BDA0002454425950000168

其中:in:

Figure BDA0002454425950000171
Figure BDA0002454425950000171

在t9时刻,R点电位谐振至VAUX,本模式持续时间为:At time t 9 , the potential at point R resonates to V AUX , and the duration of this mode is:

Figure BDA0002454425950000172
Figure BDA0002454425950000172

模式9(t9-t10):t9时刻,R点电位升至VAUX,Da3自然导通,Sa3达到ZVS换流条件,tC时刻,激磁电流减少至零;Sa3可在时间段T9C之间控制导通;Mode 9 (t9-t10): At time t9, the potential at point R rises to V AUX , Da3 turns on naturally, Sa3 reaches the ZVS commutation condition, and at time tC, the excitation current decreases to zero; Sa3 can be between time periods T9C control conduction;

本模式励磁电流为:The excitation current in this mode is:

Figure BDA0002454425950000173
Figure BDA0002454425950000173

Sa3的软开通时间为:The soft turn-on time of S a3 is:

Figure BDA0002454425950000174
Figure BDA0002454425950000174

Sa4关断到Sa3导通时间间隔DN7为:The time interval DN7 from when S a4 is turned off to when S a3 is turned on is:

Figure BDA0002454425950000175
Figure BDA0002454425950000175

t10时刻,励磁电流

Figure BDA0002454425950000176
增至
Figure BDA0002454425950000177
本模式持续时间为:At time t 10 , the excitation current
Figure BDA0002454425950000176
increase to
Figure BDA0002454425950000177
The duration of this mode is:

Figure BDA0002454425950000178
Figure BDA0002454425950000178

Sa3导通到Sa2关断时间间隔DN8为:The time interval DN8 from when S a3 is turned on to when S a2 is turned off is:

Figure BDA0002454425950000179
Figure BDA0002454425950000179

模式10(t10-t11):t10时刻,关断Sa2;辅助换流变压器激磁电流

Figure BDA00024544259500001710
对Ca2充电Ca1放电,Q点电位近似线性上升;t11时刻,P点电位升至VAUX,Da1自然导通;在下一个开关周期之前控制导通Sa1;Mode 10 (t10-t11): at time t10, turn off Sa2 ; auxiliary converter transformer excitation current
Figure BDA00024544259500001710
When C a2 is charged and C a1 is discharged, the potential of point Q rises approximately linearly; at time t11, the potential of point P rises to V AUX , and Da1 is naturally turned on; before the next switching cycle, S a1 is controlled to be turned on;

本模式持续时间为:The duration of this mode is:

Figure BDA0002454425950000181
Figure BDA0002454425950000181

Sa2关断到Sa1导通时间间隔DN9为:The time interval DN9 from when S a2 is turned off to when S a1 is turned on is:

DN9=T10-11\*MERGEFORMAT(96)DN9=T 10-11 \*MERGEFORMAT(96)

由以上电路结构和工作原理的分析可知,主开关完成零电压换流需要设计换流电感、变压器匝比、开关并联吸收电容;辅助开关完成零电压换流需要设计激磁电感;以上各元件参数的设计将在以下完成(以输出电流为正时分析);From the analysis of the above circuit structure and working principle, it can be seen that the main switch needs to design the commutation inductance, transformer turns ratio, and switch parallel absorption capacitor to complete the zero-voltage commutation; the auxiliary switch needs to design the magnetizing inductance to complete the zero-voltage commutation; The design will be done as follows (analyzed with the output current as the timing);

当V′AUX小于VDC/2时,在换流电流大于负载电流一定值的条件下关断S2保证开关管可靠完成换流;且主开关的关断损耗与关断时刻的沟道电流的平方成正比[8,13],因此S2的关断电流在满足式时,主开关的关断损耗可近似忽略(关断损耗小于1/10):When V' AUX is less than V DC / 2 , turn off S2 under the condition that the commutation current is greater than a certain value of the load current to ensure that the switch tube can reliably complete the commutation; and the turn-off loss of the main switch is related to the channel current at the time of turn-off. is proportional to the square of [8, 13], so when the turn-off current of S 2 satisfies the formula, the turn-off loss of the main switch can be approximately ignored (the turn-off loss is less than 1/10):

Figure BDA0002454425950000182
Figure BDA0002454425950000182

其中ILoad_rms为负载电流有效值;Among them, I Load_rms is the effective value of the load current;

在实际的电路运行过程中,负载电流检测存在误差,导致Ir的误差,影响换流时间T2-3和S1ZVT开通时间T3B,式和求和之后对Ir求导,当Ir满足公式的时主开关的死区时间可以为一固定值;In the actual circuit operation process, there is an error in the detection of the load current, which leads to the error of I r , which affects the commutation time T 2-3 and the S 1 ZVT turn-on time T 3B . When r satisfies the formula, the dead time of the main switch can be a fixed value;

Figure BDA0002454425950000183
Figure BDA0002454425950000183

联立,,:Simultaneous,,:

Figure BDA0002454425950000184
Figure BDA0002454425950000184

由,得:From, get:

Figure BDA0002454425950000185
Figure BDA0002454425950000185

其中由和有解可得β的取值范围为:The range of values for β that can be obtained from the sum solution is:

Figure BDA0002454425950000191
Figure BDA0002454425950000191

为保证滞后臂能可靠换流且Sa4有足够得ZVS开通时间,联立,,得:In order to ensure that the lag arm can be commutated reliably and that S a4 has enough ZVS turn-on time, simultaneously, we get:

Figure BDA0002454425950000192
Figure BDA0002454425950000192

为保证磁化电流在换流电感Lr线性放电阶段后(t=t4)与谐振电感Lr线性充电阶段前(t=t1)大小相等,方向相反(忽略原边滞后臂谐振换流阶段磁化电流的变化):In order to ensure that the magnetizing current is equal in magnitude and opposite in direction after the linear discharge stage of the commutation inductor L r (t=t 4 ) and before the linear charging stage of the resonant inductor L r (t=t 1 ) (ignoring the primary lag arm resonance commutation stage) change in magnetizing current):

Figure BDA0002454425950000193
Figure BDA0002454425950000193

其中T14为负载不同时式,,之和所得的t1-t4的时间间隔,因此每个开关周期的

Figure BDA0002454425950000194
不同;由和可看出当负载电流为0时,根据Sa4最短ZVS时间T1A_min计算出的Lm符合任何负载电流大于0时Sa4有足够得ZVS开通时间的要求;where T 14 is the time interval of t 1 -t 4 obtained from the sum of the different loads, , so that the
Figure BDA0002454425950000194
It can be seen from the sum that when the load current is 0, the Lm calculated according to the shortest ZVS time T 1A_min of Sa4 meets the requirement that Sa4 has sufficient ZVS turn-on time when the load current is greater than 0;

将iLoad=0代入式,,之和所得的t1-t4的时间间隔:Substitute i Load = 0 into the formula , , and the time interval of t 1 -t 4 obtained by the sum:

T14=T14_min\*MERGEFORMAT(104)T 14 =T 14_min \*MERGEFORMAT(104)

联立:Simultaneous:

Figure BDA0002454425950000195
Figure BDA0002454425950000195

其中T1A_min为负载电流为0时,Sa4ZVS开通时间T1A的值。Among them, T 1A_min is the value of the on-time T 1A of the Sa4 ZVS when the load current is 0.

本发明的有益效果是:The beneficial effects of the present invention are:

与现有技术相比,本发明的电路利用相位关联法保持了已有技术,实现了主开关管的零电压开通的优点,减少了主开关的开关损耗,此外辅助回路中的辅助开关也通过激磁电感中的储能实现了零电压开通且其耐压值远小于主开关;并在每个开关周期都可靠地实现了磁化电流复位,有效的减小了变压器的体积;变压器副边绕组耦合解决了辅助换流二极管Dc1和Dc2的过压问题。Compared with the prior art, the circuit of the present invention maintains the prior art by using the phase correlation method, realizes the advantage of zero-voltage turn-on of the main switch tube, and reduces the switching loss of the main switch. The energy storage in the magnetizing inductance realizes zero-voltage turn-on and its withstand voltage value is much smaller than that of the main switch; and the magnetizing current reset is reliably realized in each switching cycle, which effectively reduces the volume of the transformer; the transformer secondary winding is coupled The overvoltage problem of the auxiliary commutating diodes D c1 and D c2 is solved.

附图说明Description of drawings

以下结合附图对本发明的具体实施方式作进一步的详细说明,其中:The specific embodiments of the present invention will be described in further detail below in conjunction with the accompanying drawings, wherein:

图1是已有技术的辅助回路使用两个变压器的软开关逆变器电路;1 is a soft-switching inverter circuit using two transformers in an auxiliary circuit of the prior art;

图2是已有技术的辅助回路使用两个变压器的软开关逆变器电路;Fig. 2 is a soft-switching inverter circuit using two transformers in the auxiliary circuit of the prior art;

图3是本发明的相位关联磁化电流双向复位的辅助谐振换流极逆变器电路;Fig. 3 is the auxiliary resonant commutated pole inverter circuit of the present invention with bidirectional reset of phase-related magnetizing current;

图4为本发明电路在输出电流为正时,一个PWM开关周期内各模式电路状态图;Fig. 4 is the circuit state diagram of each mode in a PWM switching cycle when the output current of the circuit of the present invention is positive;

图5为本发明电路在输出电流为负时,一个PWM开关周期内各模式电路状态图;5 is a state diagram of each mode circuit in a PWM switching cycle when the output current of the circuit of the present invention is negative;

图6是本发明中,一个PWM开关周期内模式2等效电路图;6 is an equivalent circuit diagram of Mode 2 in one PWM switching cycle in the present invention;

图7是本发明中,一个PWM开关周期内模式3等效电路图;7 is an equivalent circuit diagram of Mode 3 in one PWM switching cycle in the present invention;

图8是本发明中,一个PWM开关周期内模式4等效电路图;8 is an equivalent circuit diagram of mode 4 in one PWM switching cycle in the present invention;

图9是本发明中,一个PWM开关周期内模式8等效电路图;9 is an equivalent circuit diagram of mode 8 in one PWM switching cycle in the present invention;

图10为本发明电路在输出电流为正时,一个PWM开关周期内各个开关管的驱动脉冲信号和主要结点电压和支路电流的波形图;Fig. 10 is the waveform diagram of the driving pulse signal of each switch tube and the main node voltage and branch current in one PWM switching cycle when the output current of the circuit of the present invention is positive;

图11本发明电路在输出电流为负时,一个PWM开关周期内各个开关管的驱动脉冲信号和主要结点电压和电流的波形图。11 is a waveform diagram of the driving pulse signal of each switch tube and the voltage and current of the main node in one PWM switching cycle when the output current of the circuit of the present invention is negative.

具体实施方式Detailed ways

如图1-图11所示,本发明提供的一种相位关联磁化电流双向复位的辅助谐振换流极逆变器,包括有第一主开关管S1、第二主开关管S2、第一换流二极管Dc1、第二换流二极管Dc2、直流电源VDC、辅助电源VAUX、负载Load、激磁电感Lm、第一分压电容Cd1和第二分压电容Cd2、谐振电感Lr、辅助换流变压器副边第一绕组T2、辅助换流变压器副边第二绕组T3、第一辅助开关管Sa1、第二辅助开关管Sa2、第三辅助开关管Sa3、第四辅助开关管Sa4、超前桥臂AC-Lag、滞后桥臂AC-Lead;所述第一主开关管S1的源极、第二主开关管S2的漏极相连于O点,这两个开关管构成主开关桥臂;第一主开关管S1的漏极,第一换流二极管Dc1的负极,与直流电源VDC正极相连;直流电源VDC的负极与第二主开关管S2的源极,第二换流二极管Dc2的正极相连;负载Load的一端与主开关桥臂中点O点相连,另一端与第一分压电容Cd1和第二分压电容Cd2的中点相连;谐振电感Lr的一端和主开关桥臂的中点O点相连,另一端和辅助换流变压器副边第一绕组T2的异名端、辅助换流变压器副边第二绕组T3的同名端相连于P点;辅助换流变压器副边第一绕组T2的同名端和第一换流二极管Dc1的正极相连;辅助换流变压器副边第二绕组T3的异名端和第二换流二极管Dc2的负极相连;第一辅助开关管Sa1的源极和第二辅助开关管Sa2的漏极相连于Q点,这两个开关管构成换流辅助电路的超前桥臂AC-Lag;第三辅助开关管Sa3的源极和第四辅助开关管Sa4的漏极相连于R点,这两个开关管构成换流辅助电路的滞后桥臂AC-Lead;第一辅助开关管Sa1的漏极和第三辅助开关管Sa3的漏极与辅助电源VAUX的正极相连,辅助电源VAUX的负极与第二辅助开关管Sa2的源极,第四辅助开关管Sa4的源极相连;辅助换流变压器原边绕组T1的同名端与超前辅助开关桥臂的中点Q点相连,异名端与滞后辅助开关桥臂的中点R点相连;激磁电感Lm并联于辅助换流变压器原边绕组T1两端;辅助换流变压器副边第一绕组T2和第二绕组T3的匝数相同,辅助换流变压器原边绕组T1的匝数与T2或T3的匝数比为1/n。As shown in FIG. 1-FIG. 11 , an auxiliary resonant commutated pole inverter with bidirectional reset of phase-related magnetizing current provided by the present invention includes a first main switch tube S 1 , a second main switch tube S 2 , a second main switch tube S 2 , and a second main switch tube S 2 . A commutating diode D c1 , the second commutating diode D c2 , the DC power supply V DC , the auxiliary power supply V AUX , the load Load, the magnetizing inductance L m , the first voltage dividing capacitor C d1 and the second voltage dividing capacitor C d2 , resonance Inductance L r , the first winding T 2 on the secondary side of the auxiliary converter transformer, the second winding T 3 on the secondary side of the auxiliary converter transformer, the first auxiliary switch tube S a1 , the second auxiliary switch tube S a2 , and the third auxiliary switch tube S a3 , the fourth auxiliary switch S a4 , the leading bridge arm AC-Lag, and the lagging bridge arm AC-Lead; the source of the first main switch S1 and the drain of the second main switch S2 are connected to O The two switch tubes constitute the main switch bridge arm; the drain of the first main switch tube S 1 and the negative pole of the first commutation diode D c1 are connected to the positive pole of the DC power supply V DC ; the negative pole of the DC power supply V DC is connected to the The source of the two main switch tubes S 2 is connected to the positive pole of the second commutation diode D c2 ; one end of the load Load is connected to the midpoint O of the bridge arm of the main switch, and the other end is connected to the first voltage dividing capacitor C d1 and the second dividing capacitor C d1. The midpoint of the piezoelectric capacitor C d2 is connected; one end of the resonant inductance L r is connected to the midpoint O of the main switch bridge arm, and the other end is connected to the other end of the first winding T 2 on the secondary side of the auxiliary converter transformer, and the auxiliary converter transformer The same-named end of the second winding T3 on the secondary side is connected to point P; the same - named end of the first winding T2 on the secondary side of the auxiliary converter transformer is connected with the positive electrode of the first converter diode Dc1 ; the second winding on the secondary side of the auxiliary converter transformer is connected The synonym terminal of T3 is connected to the negative electrode of the second commutation diode D c2 ; the source of the first auxiliary switch S a1 and the drain of the second auxiliary switch S a2 are connected to the Q point, and these two switches constitute The leading bridge arm AC-Lag of the commutation auxiliary circuit; the source of the third auxiliary switch S a3 and the drain of the fourth auxiliary switch S a4 are connected to point R, and these two switches constitute the lag of the commutation auxiliary circuit Bridge arm AC-Lead; the drain of the first auxiliary switch tube S a1 and the drain of the third auxiliary switch tube S a3 are connected to the positive pole of the auxiliary power supply V AUX , and the negative pole of the auxiliary power supply V AUX is connected to the second auxiliary switch tube S a2 The source of the fourth auxiliary switch tube S a4 is connected to the source of the fourth auxiliary switch; the same name terminal of the primary winding T1 of the auxiliary converter transformer is connected to the midpoint Q point of the leading auxiliary switch bridge arm, and the synonym terminal is connected to the lagging auxiliary switch bridge arm. The midpoint R point is connected; the exciting inductance Lm is connected in parallel with both ends of the primary winding T1 of the auxiliary converter transformer ; the number of turns of the first winding T2 and the second winding T3 on the secondary side of the auxiliary converter transformer are the same, and the original winding of the auxiliary converter transformer has the same number of turns. The ratio of the number of turns of the side winding T1 to the number of turns of T2 or T3 is 1 /n.

进一步改进,当负载电流为正时工作模式及切换时间间隔为:Further improvement, when the load current is positive, the working mode and the switching time interval are:

电路处于稳定状态,S2、Sa1、Sa3处于导通状态,S1、Sa2、Sa4处于关断状态;换流二极管DN1、DN2和开关管的反并联二极管处于关断状态;The circuit is in a stable state, S 2 , S a1 , and S a3 are in a conducting state, and S 1 , S a2 , and S a4 are in an off state; the commutation diodes DN1 , DN2 and the anti-parallel diodes of the switch tubes are in an off state;

t0时刻,关断Sa3At time t0, turn off Sa3 ;

Sa3关断后延迟DP1,导通Sa4After S a3 is turned off, delay DP1 and turn on S a4 ;

Figure BDA0002454425950000221
Figure BDA0002454425950000221

Sa4导通后延迟DP2,关断S2After S a4 is turned on, DP2 is delayed, and S 2 is turned off;

Figure BDA0002454425950000222
Figure BDA0002454425950000222

S2关断后延迟DP3,导通S1After S2 is turned off, delay DP3 and turn on S1 ;

Figure BDA0002454425950000223
Figure BDA0002454425950000223

S1导通后延迟DP4,关断Sa1After S1 is turned on , delay DP4, and turn off S a1 ;

Figure BDA0002454425950000224
Figure BDA0002454425950000224

Sa1关断后延迟DP5,导通Sa2After S a1 is turned off, delay DP5 and turn on S a2 ;

Figure BDA0002454425950000225
Figure BDA0002454425950000225

S1导通后延迟Ton,关断S1After S 1 is turned on, delay T on , and turn off S 1 ;

S1关断后延迟DP6,导通S2After S1 is turned off, delay DP6 and turn on S2 ;

Figure BDA0002454425950000226
Figure BDA0002454425950000226

在t0时刻即Sa3关断后延迟TSW/2,关断Sa4At time t0, that is, after S a3 is turned off, delay T SW /2, and turn off S a4 ;

Sa4关断后延迟DP7,导通Sa3After S a4 is turned off, DP7 is delayed, and S a3 is turned on;

Figure BDA0002454425950000231
Figure BDA0002454425950000231

Sa3导通后延迟DP8,关断Sa2After S a3 is turned on, delay DP8, and turn off S a2 ;

Figure BDA0002454425950000232
Figure BDA0002454425950000232

关断Sa2延迟DP9,导通Sa1Turn off S a2 , delay DP9, and turn on S a1 ;

Figure BDA0002454425950000233
Figure BDA0002454425950000233

负载电流为负时工作模式及切换时间间隔为:When the load current is negative, the working mode and switching time interval are:

电路处于稳定状态,S1、Sa1、Sa3处于导通状态,S2、Sa2、Sa4处于关断状态;换流二极管DN1、DN2和开关管反并联二极管处于关断状态;The circuit is in a stable state, S 1 , S a1 , and S a3 are in an on state, and S 2 , S a2 , and S a4 are in an off state; the commutation diodes DN1, DN2 and the anti-parallel diodes of the switch tubes are in an off state;

t0时刻,关断Sa3At time t0, turn off Sa3 ;

Sa3关断后延迟DN1,导通Sa4After S a3 is turned off, DN1 is delayed, and S a4 is turned on;

Figure BDA0002454425950000234
Figure BDA0002454425950000234

Sa4导通后延迟DN2,关断S1After S a4 is turned on, DN2 is delayed, and S 1 is turned off;

Figure BDA0002454425950000235
Figure BDA0002454425950000235

S2关断后延迟DN3,导通S2After S2 is turned off, delay DN3 and turn on S2 ;

Figure BDA0002454425950000236
Figure BDA0002454425950000236

S1导通后延迟DN4,关断Sa1After S1 is turned on , DN4 is delayed, and S a1 is turned off;

Figure BDA0002454425950000241
Figure BDA0002454425950000241

Sa1关断后延迟DN5,导通Sa2After S a1 is turned off, DN5 is delayed, and S a2 is turned on;

Figure BDA0002454425950000242
Figure BDA0002454425950000242

S2导通后延迟Ton,关断S2Delay T on after S 2 is turned on, and turn off S 2 ;

S2关断后延迟DP6,导通S1After S2 is turned off, delay DP6 and turn on S1 ;

Figure BDA0002454425950000243
Figure BDA0002454425950000243

在t0时刻即Sa3关断后延迟TSW/2,关断Sa4At time t0, that is, after S a3 is turned off, delay T SW /2, and turn off S a4 ;

Sa4关断后延迟DN7,导通Sa3After S a4 is turned off, DN7 is delayed, and S a3 is turned on;

Figure BDA0002454425950000244
Figure BDA0002454425950000244

Sa3导通后延迟DN8,关断Sa2After S a3 is turned on, DN8 is delayed, and S a2 is turned off;

Figure BDA0002454425950000245
Figure BDA0002454425950000245

关断Sa2延迟DN9,导通Sa1Turn off S a2 , delay DN9, and turn on S a1 ;

Figure BDA0002454425950000246
Figure BDA0002454425950000246

以上各个公式中,输入量的相关参数如下:VDC为直流母线电压;VAUX为辅助电源电压;T1A_min为Sa4最短ZVS开通时间;T3B为S1(S2)最短开通时间;Ir为换流电流峰值中超过负载电流的部分;Cm_oss为主开关管S1-S2并联吸收电容:Cm_oss=C1=C2;Ca_oss为辅助开关管Sa1-Sa4并联吸收电容:Ca_oss=Ca1=Ca2=Ca3=Ca4In the above formulas, the relevant parameters of the input quantities are as follows: V DC is the DC bus voltage; V AUX is the auxiliary power supply voltage; T 1A_min is the shortest ZVS turn-on time of S a4 ; T 3B is the shortest turn-on time of S 1 (S 2 ); I r is the part of the peak value of commutation current that exceeds the load current; C m_oss is the parallel absorption capacitor of the main switch tubes S 1 -S 2 : C m_oss =C 1 =C 2 ; C a_oss is the parallel absorption of the auxiliary switch tubes S a1 -S a4 Capacitance: C a_oss =C a1 =C a2 =C a3 =C a4 ;

以下参数均可根据输入量约束表达;V′AUX为变压器副边电压;Lr为换流电感;Lm为激磁电感;

Figure BDA0002454425950000247
为辅助开关换流前的激磁电流值,与每个开关周期中的负载电流值成正相关;The following parameters can be expressed according to the input constraints; V' AUX is the secondary voltage of the transformer; L r is the commutation inductance; L m is the magnetizing inductance;
Figure BDA0002454425950000247
is the excitation current value of the auxiliary switch before commutation, which is positively related to the load current value in each switching cycle;

Figure BDA0002454425950000251
Figure BDA0002454425950000251

Figure BDA0002454425950000252
Figure BDA0002454425950000252

Figure BDA0002454425950000253
Figure BDA0002454425950000253

Figure BDA0002454425950000254
Figure BDA0002454425950000254

其中T14_min为忽略换流电流充电前的电流变化后,将iLoad=0代入,之和所得的t1-t4的时间间隔;T1A_min为负载电流为0时,Sa4ZVS开通时间T1A的值。Wherein T 14_min is the time interval between t 1 and t 4 obtained by substituting i Load = 0 after ignoring the current change before charging by the commutating current; T 1A_min is the on-time T of S a4 ZVS when the load current is zero 1A value.

辅助开关管Sa1-Sa4的体寄生电容与外部并联吸收电容Ca1-Ca4取值相同,之后公式中使用Ca_oss表示;主开关管S1-S2的体寄生电容与外部并联吸收电容C1-C2取值相同,之后公式中使用Cm_oss表示。The body parasitic capacitances of the auxiliary switches S a1 -S a4 are the same as the external parallel absorption capacitors C a1 -C a4 , and are represented by C a_oss in the following formula; the body parasitic capacitances of the main switch tubes S 1 -S 2 are absorbed in parallel with the external Capacitors C 1 -C 2 have the same value, and are represented by C m_oss in the following formula.

当输出电流为正时,一个PWM开关周期内各模式电路状态图如图4所示,各个开关管的驱动脉冲信号和主要结点电压和支路电流的波形见图10。当输出电流为负时,一个PWM开关周期内各模式电路状态图如图5所示,各个开关管的驱动脉冲信号和主要结点电压和支路电流的波形见图11。When the output current is positive, the state diagram of each mode circuit in a PWM switching cycle is shown in Figure 4, and the waveforms of the driving pulse signal of each switch tube, the voltage of the main node and the current of the branch are shown in Figure 10. When the output current is negative, the state diagram of each mode circuit in one PWM switching cycle is shown in Figure 5, and the waveforms of the driving pulse signal of each switch tube, the voltage of the main node and the current of the branch are shown in Figure 11.

以下分别对输出电流为正和为负两种情况进行分析。由于负载电感足够大,所以认为在一个PWM开关周期内负载电流恒定不变。In the following, the two cases of positive and negative output current are analyzed respectively. Since the load inductance is large enough, the load current is considered to be constant during one PWM switching cycle.

回路中各电气变量参考正方向与图3中箭头方向一致。The reference positive direction of each electrical variable in the loop is consistent with the direction of the arrow in Figure 3.

输出电流为正时各模式具体描述和间隔时间的计算过程为:The specific description of each mode when the output current is positive and the calculation process of the interval time are as follows:

模式1(t<t0):电路处于稳定状态,S1处于导通状态;负载电流ILoad通过S1续流,Sa1、Sa3导通,激磁电流iLm通过Sa1、Sa3续流,其值为

Figure BDA0002454425950000261
Mode 1 (t<t0): The circuit is in a stable state, and S 1 is in a conducting state; the load current I Load is freewheeling through S 1 , S a1 and S a3 are turned on, and the excitation current iL m is freewheeling through S a1 and S a3 , whose value is
Figure BDA0002454425950000261

模式2(t0-t1):t0时刻,关断Sa3;换流电感Lr通过变压器和激磁电感Lm并联后与辅助电容Ca3、Ca4发生谐振,R点电位下降,等效电路图如图6所示;换流电感电流

Figure BDA0002454425950000262
从零开始增加;激磁电流
Figure BDA0002454425950000263
向正变化;Mode 2 (t0-t1): At time t0, S a3 is turned off; the commutating inductance L r is connected in parallel with the auxiliary capacitors C a3 and C a4 through the transformer and the magnetizing inductance L m , and the potential of the R point drops. The equivalent circuit diagram is as follows Figure 6; commutation inductor current
Figure BDA0002454425950000262
Increase from zero; magnetizing current
Figure BDA0002454425950000263
positive change

本模式Sa3两端电压vSa3和原边绕组电流iN,表达式为:In this mode, the voltage v Sa3 across both ends of Sa3 and the primary winding current i N are expressed as:

Figure BDA0002454425950000264
Figure BDA0002454425950000264

Figure BDA0002454425950000265
Figure BDA0002454425950000265

根据电感电流瞬时值与端电压积分和电流初值的关系,激磁电感电流

Figure BDA0002454425950000266
和换流电流
Figure BDA0002454425950000267
According to the relationship between the instantaneous value of the inductor current, the terminal voltage integral and the initial value of the current, the magnetizing inductor current
Figure BDA0002454425950000266
and commutation current
Figure BDA0002454425950000267

Figure BDA0002454425950000268
Figure BDA0002454425950000268

Figure BDA0002454425950000269
Figure BDA0002454425950000269

其中ωa为谐振角频率:where ω a is the resonant angular frequency:

Figure BDA00024544259500002610
Figure BDA00024544259500002610

在t1时刻,Sa3两端电压谐振到VAUX,根据本谐振模式的时间为:At time t1, the voltage across Sa3 resonates to V AUX , and the time according to this resonance mode is:

Figure BDA00024544259500002611
Figure BDA00024544259500002611

模式3(t1-T2):t1时刻,R点电位降至0,Da4自然导通,Sa4达到ZVS换流条件,图7为本模式的等效电路图;激磁电感两端电压与电流方向反向,激磁电流大小线性减少;换流电感电流线性增加;tA时刻,原边绕组电流减少至零,Sa4可在时间段t1-tA之间控制导通为ZVS导通;Mode 3 (t1-T 2 ): At t1, the potential at point R drops to 0, Da4 is naturally turned on, and Sa4 reaches the ZVS commutation condition. Figure 7 is the equivalent circuit diagram of this mode; the voltage and current directions at both ends of the magnetizing inductor In the reverse direction, the magnitude of the excitation current decreases linearly; the current of the commutation inductor increases linearly; at t A , the primary winding current decreases to zero, and Sa4 can be controlled to conduct ZVS during the time period t1-tA;

本模式原边绕组电流为:The primary winding current in this mode is:

Figure BDA0002454425950000271
Figure BDA0002454425950000271

辅助管Sa4的软开通时间为:The soft turn-on time of the auxiliary tube S a4 is:

Figure BDA0002454425950000272
Figure BDA0002454425950000272

Sa3关断到Sa4导通时间间隔DN1为:;The time interval DN1 from when S a3 is turned off to when S a4 is turned on is:

Figure BDA0002454425950000273
Figure BDA0002454425950000273

充电模式(t1-t2)换流电感电流为:The charging mode (t 1 -t 2 ) commutation inductor current is:

Figure BDA0002454425950000274
Figure BDA0002454425950000274

其中:V′AUX为变压器副边电压;Among them: V' AUX is the secondary voltage of the transformer;

t2时刻,换流电流

Figure BDA0002454425950000275
的值增至最大值:At time t2 , the commutation current
Figure BDA0002454425950000275
to the maximum value:

iLr(t2)=Ir+iLoad\*MERGEFORMAT(70)i Lr (t 2 )=I r +i Load \*MERGEFORMAT(70)

其中:Ir为换流电流

Figure BDA0002454425950000276
中超过负载电流的部分Where: I r is the commutation current
Figure BDA0002454425950000276
the part that exceeds the load current

联立、,充电模式(T1-2)的持续时间为:Simultaneously, the duration of the charging mode (T 1-2 ) is:

Figure BDA0002454425950000277
Figure BDA0002454425950000277

Sa4导通到S1关断时间间隔DN2为:The time interval DN2 from the turn-on of S a4 to the turn-off of S 1 is:

Figure BDA0002454425950000278
Figure BDA0002454425950000278

模式4(T2-T3):T2时刻,主开关S1关断,图8为本模式的等效电路图;换流电感电流iLr中超过负载电流的部分Ir对电容C2放电C1充电,O点的电位开始谐振下降;Mode 4 (T 2 -T 3 ) : At time T2, the main switch S 1 is turned off, and Figure 8 is the equivalent circuit diagram of this mode; the part I r of the commutation inductor current i Lr that exceeds the load current discharges the capacitor C2 C1 After charging, the potential at point O begins to resonate and drop;

O点电位vO和换流电流iLr表达式为:O point potential v O and commutation current i Lr are expressed as:

Figure BDA0002454425950000281
Figure BDA0002454425950000281

Figure BDA0002454425950000282
Figure BDA0002454425950000282

其中:in:

Figure BDA0002454425950000283
Figure BDA0002454425950000283

t3时刻,O点电位降至0;本模式持续时间为:At time t 3 , the potential of point O drops to 0; the duration of this mode is:

Figure BDA0002454425950000284
Figure BDA0002454425950000284

其中:in:

Figure BDA0002454425950000285
Figure BDA0002454425950000285

模式5(T3-t4):在T3时刻,D2自然导通,S2符合ZVS换流条件;换流电感电流iLr线性下降,tB时刻,换流电感电流iLr降至负载电流iLoad;主开关管S2可在时间段T3-tB之间控制导通;Mode 5 (T 3 -t4): At the time of T 3 , D2 is naturally turned on, and S 2 meets the ZVS commutation conditions; the commutation inductor current iL r decreases linearly, and at tB, the commutation inductor current iL r decreases to the load current iLoad ; The main switch tube S 2 can be controlled to conduct during the time period T 3 -tB;

由,得:主开关ZVS开通持续时间为:From, get: the main switch ZVS on duration is:

Figure BDA0002454425950000286
Figure BDA0002454425950000286

S1关断到S2导通时间间隔DN3为: The time interval DN3 from when S1 is turned off to when S2 is turned on is:

Figure BDA0002454425950000287
Figure BDA0002454425950000287

本模式持续时间为:The duration of this mode is:

Figure BDA0002454425950000288
Figure BDA0002454425950000288

S2导通到Sa1关断时间间隔DN4为:The time interval DN4 from the turn-on of S 2 to the turn-off of S a1 is:

Figure BDA0002454425950000291
Figure BDA0002454425950000291

模式6(t4-t6):在t4时刻,关断Sa1,换流电感电流iLr降至0A,激磁电流iLm反向增至

Figure BDA0002454425950000292
激磁电流
Figure BDA0002454425950000293
对Ca1充电Ca2放电,Q点电位开始近似线性下降;t5时刻,Q点电位降到0,Da2自然导通;t5-t6由PWM控制需要确定,Sa2可在t5-t6之间控制导通;Mode 6 (t4-t6): At time t4, S a1 is turned off, the commutation inductor current iL r drops to 0A, and the excitation current iL m reversely increases to
Figure BDA0002454425950000292
Exciting current
Figure BDA0002454425950000293
When C a1 is charged and C a2 is discharged, the potential of Q point begins to decrease approximately linearly; at t5 time, the potential of Q point drops to 0, and Da2 is naturally turned on; t5-t6 is determined by PWM control, and S a2 can be controlled between t5-t6 turn on;

t4-t5持续时间为:The t 4 -t 5 durations are:

Figure BDA0002454425950000294
Figure BDA0002454425950000294

Sa1关断到Sa2导通时间间隔DN5为:The time interval DN5 from when S a1 is turned off to when S a2 is turned on is:

DN5=T4-5\*MERGEFORMAT(83)DN5=T 4-5 \*MERGEFORMAT(83)

模式7(t6-t8):t6时刻,关断S2,负载电流iLoad对C2充电,C1放电,O点电线性下降;t7时刻,O点电位升至VDC,二极管D1自然导通;t7-t8由PWM控制需要确定,S1可在t7之后控制导通;Mode 7 (t6-t8): At time t6, S 2 is turned off, the load current i Load charges C2, C1 discharges, and the line at point O decreases; at time t7, the potential at point O rises to V DC , and diode D1 is naturally turned on; t7-t8 is determined by PWM control needs, and S1 can be controlled to be turned on after t7;

t6-t7持续时间为:The t 6 -t 7 durations are:

Figure BDA0002454425950000295
Figure BDA0002454425950000295

S2关断到S1导通时间间隔DN6为: The time interval DN6 from when S2 is turned off to when S1 is turned on is:

DN6=T6-7\*MERGEFORMAT(85)DN6=T 6-7 \*MERGEFORMAT(85)

模式8(t8-t9):t8时刻,关断Sa4,本模式的等效电路图如图9所示,激磁电流

Figure BDA0002454425950000296
对Ca4充电Ca3放电,R点电位开始上升;Mode 8 (t8-t9): At time t8, S a4 is turned off. The equivalent circuit diagram of this mode is shown in Figure 9. The excitation current
Figure BDA0002454425950000296
Charge C a4 and discharge C a3 , the potential of R point begins to rise;

R点电位vR和电流

Figure BDA0002454425950000297
表达式为:R point potential v R and current
Figure BDA0002454425950000297
The expression is:

Figure BDA0002454425950000298
Figure BDA0002454425950000298

Figure BDA0002454425950000301
Figure BDA0002454425950000301

其中:in:

Figure BDA0002454425950000302
Figure BDA0002454425950000302

在t9时刻,R点电位谐振至VAUX,本模式持续时间为:At time t 9 , the potential at point R resonates to V AUX , and the duration of this mode is:

Figure BDA0002454425950000303
Figure BDA0002454425950000303

模式9(t9-t10):t9时刻,R点电位升至VAUX,Da3自然导通,Sa3达到ZVS换流条件,tC时刻,激磁电流减少至零;Sa3可在时间段T9C之间控制导通;Mode 9 (t9-t10): At time t9, the potential at point R rises to V AUX , Da3 turns on naturally, Sa3 reaches the ZVS commutation condition, and at time tC, the excitation current decreases to zero; Sa3 can be between time periods T9C control conduction;

本模式励磁电流为:The excitation current in this mode is:

Figure BDA0002454425950000304
Figure BDA0002454425950000304

Sa3的软开通时间为:The soft turn-on time of S a3 is:

Figure BDA0002454425950000305
Figure BDA0002454425950000305

Sa4关断到Sa3导通时间间隔DN7为:The time interval DN7 from when S a4 is turned off to when S a3 is turned on is:

Figure BDA0002454425950000306
Figure BDA0002454425950000306

t10时刻,励磁电流

Figure BDA00024544259500003012
增至
Figure BDA0002454425950000308
本模式持续时间为:At time t 10 , the excitation current
Figure BDA00024544259500003012
increase to
Figure BDA0002454425950000308
The duration of this mode is:

Figure BDA0002454425950000309
Figure BDA0002454425950000309

Sa3导通到Sa2关断时间间隔DN8为:The time interval DN8 from when S a3 is turned on to when S a2 is turned off is:

Figure BDA00024544259500003010
Figure BDA00024544259500003010

模式10(t10-t11):t10时刻,关断Sa2;辅助换流变压器激磁电流

Figure BDA00024544259500003011
对Ca2充电Ca1放电,Q点电位近似线性上升;t11时刻,P点电位升至VAUX,Da1自然导通;在下一个开关周期之前控制导通Sa1;Mode 10 (t10-t11): at time t10, turn off Sa2 ; auxiliary converter transformer excitation current
Figure BDA00024544259500003011
When C a2 is charged and C a1 is discharged, the potential of point Q rises approximately linearly; at time t11, the potential of point P rises to V AUX , and Da1 is naturally turned on; before the next switching cycle, S a1 is controlled to be turned on;

本模式持续时间为:The duration of this mode is:

Figure BDA0002454425950000311
Figure BDA0002454425950000311

Sa2关断到Sa1导通时间间隔DN9为:The time interval DN9 from when S a2 is turned off to when S a1 is turned on is:

DN9=T10-11\*MERGEFORMAT(96)DN9=T 10-11 \*MERGEFORMAT(96)

由以上电路结构和工作原理的分析可知,主开关完成零电压换流需要设计换流电感、变压器匝比、开关并联吸收电容;辅助开关完成零电压换流需要设计激磁电感;以上各元件参数的设计将在以下完成(以输出电流为正时分析);From the analysis of the above circuit structure and working principle, it can be seen that the main switch needs to design the commutation inductance, transformer turns ratio, and switch parallel absorption capacitor to complete the zero-voltage commutation; the auxiliary switch needs to design the magnetizing inductance to complete the zero-voltage commutation; The design will be done as follows (analyzed with the output current as the timing);

当V′AUX小于VDC/2时,在换流电流大于负载电流一定值的条件下关断S2保证开关管可靠完成换流;且主开关的关断损耗与关断时刻的沟道电流的平方成正比[8,13],因此S2的关断电流在满足式时,主开关的关断损耗可近似忽略(关断损耗小于1/10):When V' AUX is less than V DC / 2 , turn off S2 under the condition that the commutation current is greater than a certain value of the load current to ensure that the switch tube can reliably complete the commutation; and the turn-off loss of the main switch is related to the channel current at the time of turn-off. is proportional to the square of [8, 13], so when the turn-off current of S 2 satisfies the formula, the turn-off loss of the main switch can be approximately ignored (the turn-off loss is less than 1/10):

Figure BDA0002454425950000312
Figure BDA0002454425950000312

其中ILoad_rms为负载电流有效值;Among them, I Load_rms is the effective value of the load current;

在实际的电路运行过程中,负载电流检测存在误差,导致Ir的误差,影响换流时间T2-3和S1ZVT开通时间T3B,式和求和之后对Ir求导,当Ir满足公式的时主开关的死区时间可以为一固定值;In the actual circuit operation process, there is an error in the detection of the load current, which leads to the error of I r , which affects the commutation time T 2-3 and the S 1 ZVT turn-on time T 3B . When r satisfies the formula, the dead time of the main switch can be a fixed value;

Figure BDA0002454425950000313
Figure BDA0002454425950000313

联立,,:Simultaneous,,:

Figure BDA0002454425950000314
Figure BDA0002454425950000314

由,得:From, get:

Figure BDA0002454425950000321
Figure BDA0002454425950000321

其中由和有解可得β的取值范围为:The range of values for β that can be obtained from the sum solution is:

Figure BDA0002454425950000322
Figure BDA0002454425950000322

为保证滞后臂能可靠换流且Sa4有足够得ZVS开通时间,联立,,得:In order to ensure that the lag arm can be commutated reliably and that S a4 has enough ZVS turn-on time, simultaneously, we get:

Figure BDA0002454425950000323
Figure BDA0002454425950000323

为保证磁化电流在换流电感Lr线性放电阶段后(t=t4)与谐振电感Lr线性充电阶段前(t=t1)大小相等,方向相反(忽略原边滞后臂谐振换流阶段磁化电流的变化):In order to ensure that the magnetizing current is equal in magnitude and opposite in direction after the linear discharge stage of the commutation inductor L r (t=t 4 ) and before the linear charging stage of the resonant inductor L r (t=t 1 ) (ignoring the primary lag arm resonance commutation stage) change in magnetizing current):

Figure BDA0002454425950000324
Figure BDA0002454425950000324

其中T14为负载不同时式,,之和所得的t1-t4的时间间隔,因此每个开关周期的

Figure BDA0002454425950000325
不同;由和可看出当负载电流为0时,根据Sa4最短ZVS时间T1A_min计算出的Lm符合任何负载电流大于0时Sa4有足够得ZVS开通时间的要求;where T 14 is the time interval of t 1 -t 4 obtained from the sum of the different loads, , , so the time interval of each switching cycle is
Figure BDA0002454425950000325
It can be seen from the sum that when the load current is 0, the Lm calculated according to the shortest ZVS time T 1A_min of Sa4 meets the requirement that Sa4 has sufficient ZVS turn-on time when the load current is greater than 0;

将iLoad=0代入式,,之和所得的t1-t4的时间间隔:Substitute i Load = 0 into the formula , , and the time interval of t 1 -t 4 obtained by the sum:

T14=T14_min\*MERGEFORMAT(104)T 14 =T 14_min \*MERGEFORMAT(104)

联立:Simultaneous:

Figure BDA0002454425950000326
Figure BDA0002454425950000326

其中T1A_min为负载电流为0时,Sa4ZVS开通时间T1A的值。Among them, T 1A_min is the value of the on-time T 1A of the Sa4 ZVS when the load current is 0.

输入参数如表1所示:The input parameters are shown in Table 1:

输入DC电压(V<sub>DC</sub>)Input DC voltage (V<sub>DC</sub>) 400V400V 辅助电压(V<sub>AUX</sub>)Auxiliary voltage (V<sub>AUX</sub>) 20V20V 开关频率(f<sub>sw</sub>)Switching frequency (f<sub>sw</sub>) 20KHz20KHz <sub>m_oss</sub><sub>m_oss</sub> 100pF100pF <sub>a_oss</sub><sub>a_oss</sub> 1000pF1000pF I<sub>r</sub>I<sub>r</sub> 2A2A T<sub>1A_min</sub>T<sub>1A_min</sub> 10ns10ns T<sub>3B</sub>T<sub>3B</sub> 10ns10ns

表1输入参数根据输入参数的约束计算出的电感和变压器具体值如表2Table 1 Input parameters The specific values of the inductance and transformer calculated according to the constraints of the input parameters are shown in Table 2

换流电感(L<sub>r</sub>)Commutation Inductance (L<sub>r</sub>) 4.21uH4.21uH 激磁电感(L<sub>m</sub>)Magnetizing Inductance (L<sub>m</sub>) 1.06uH1.06uH 变压器副边电压(V′<sub>AUX</sub>)Transformer secondary voltage (V′<sub>AUX</sub>) 60V60V

表2Table 2

Figure BDA0002454425950000331
和各持续时间与负载电流的关系如下:
Figure BDA0002454425950000331
The relationship between each duration and load current is as follows:

Figure BDA0002454425950000332
Figure BDA0002454425950000332

Figure BDA0002454425950000333
Figure BDA0002454425950000333

Figure BDA0002454425950000334
Figure BDA0002454425950000334

Figure BDA0002454425950000335
Figure BDA0002454425950000335

Figure BDA0002454425950000336
Figure BDA0002454425950000336

Figure BDA0002454425950000337
Figure BDA0002454425950000337

Figure BDA0002454425950000338
Figure BDA0002454425950000338

Figure BDA0002454425950000339
Figure BDA0002454425950000339

Figure BDA00024544259500003310
Figure BDA00024544259500003310

Figure BDA0002454425950000341
Figure BDA0002454425950000341

以上实施例不局限于该实施例自身的技术方案,实施例之间可以相互结合成新的实施例。以上实施例仅用以说明本发明的技术方案而并非对其进行限制,凡未脱离本发明精神和范围的任何修改或者等同替换,其均应涵盖在本发明技术方案的范围内。The above embodiments are not limited to the technical solutions of the embodiments themselves, and the embodiments can be combined with each other to form new embodiments. The above embodiments are only used to illustrate the technical solutions of the present invention and are not intended to limit them. Any modifications or equivalent replacements that do not depart from the spirit and scope of the present invention should be included within the scope of the technical solutions of the present invention.

Claims (3)

1. An auxiliary resonance converter pole inverter with phase-correlated magnetizing current bidirectional reset is characterized in that: comprises a first main switch tube (S)1) A second main switch tube (S)2) A first commutation diode (D)c1) A second commutation diode (D)c2) DC power supply (V)DC) Auxiliary power supply (V)AUX) A load (L oad) and an excitation inductor (L)m) A first voltage-dividing capacitor Cd1A second voltage dividing capacitor Cd2Resonant inductor (L)r) Auxiliary converter transformer secondary side first winding (T)2) And a secondary side second winding (T) of the auxiliary converter transformer3) A first auxiliary switch tube (S)a1) A second auxiliary switch tube (S)a2) And the third auxiliary switch tube (S)a3) And the fourth auxiliary switch tube (S)a4) The first main switch tube (S), a leading bridge arm (AC-L ag) and a lagging bridge arm (AC-L ead)1) Source electrode, second main switch tube (S)2) The drain electrode of the switch tube is connected with a point O, and the two switch tubes form a main switch bridge arm; first main switch tube (S)1) The first commutation diode (D)c1) And a DC power supply (V)DC) The positive electrodes are connected; DC power supply (V)DC) Negative pole of (1) and second main switching tube (S)2) Source of (D), second commutation diode (D)c2) One end of a load (L oad) is connected with a point O of the middle point of a bridge arm of the main switch, and the other end of the load is connected with two first voltage-dividing capacitors Cd1A second voltage dividing capacitor Cd2Is connected with the midpoint of the resonant inductor (L)r) One end of the auxiliary converter transformer is connected with the midpoint O of the main switch bridge arm, and the other end of the auxiliary converter transformer is connected with the auxiliary side first winding (T)2) End of different name, auxiliary converter transformer secondary side second winding (T)3) The homonymous end of the point P is connected with the point P; auxiliary converter transformer secondary first winding (T)2) And the first commutation diode (D)c1) The positive electrodes of the two electrodes are connected; secondary winding (T) of auxiliary converter transformer3) And a second commutation diode (D)c2) The negative electrodes are connected; first auxiliary switch tube (S)a1) And a second auxiliary switching tube (S)a2) The two switching tubes form a leading arm (AC-L ag) of the commutation auxiliary circuit, and a third auxiliary switching tube (S)a3) Source electrode of (1) and fourth auxiliary switching tube (S)a4) The two switching tubes form a hysteresis bridge arm (AC-L ead) of the commutation auxiliary circuit, and a first auxiliary switching tube (S)a1) And a third auxiliary switching tube (S)a3) Drain electrode of (2) and auxiliary power supply (V)AUX) Is connected with an auxiliary power supply (V)AUX) And a second auxiliary switch tube (S)a2) Source electrode of (1), fourth auxiliary switching tube (S)a4) The same-name end of a primary winding (T1) of the auxiliary converter transformer is connected with a point Q of a midpoint of a leading auxiliary switch bridge arm, a different-name end is connected with a point R of a midpoint of a lagging auxiliary switch bridge arm, and an excitation inductor (L)m) Is connected in parallel with two ends of a primary winding (T1) of the auxiliary converter transformer; auxiliary converter transformer secondary first winding (T)2) And a second winding (T)3) Has the same number of turns, and the number of turns of the primary winding (T1) of the auxiliary converter transformer is equal to the number of turns of the primary winding (T1)2(or T)3) The turns ratio of (1/n).
2. An auxiliary resonant commutating pole inverter with bidirectional reset of phase-correlated magnetizing current according to claim 1, characterized by: when the load current is positive, the working mode and the switching time interval are as follows:
the circuit is in a steady state, S2、Sa1、Sa3In the on state, S1、Sa2、Sa4In an off state; the commutation diodes DN1 and DN2 and the anti-parallel diode of the switch tube are in an off state;
at time t0, turn off Sa3
Sa3Delay DP1 after turn-off, turn on Sa4
Figure FDA0002454425940000021
Sa4Delay DP2 after switching on, turn off S2
Figure FDA0002454425940000022
S2Delay DP3 after turn-off, turn on S1
Figure FDA0002454425940000023
S1Delay DP4 after switching on, turn off Sa1
Figure FDA0002454425940000024
Sa1Delay DP5 after turn-off, turn on Sa2
Figure FDA0002454425940000025
S1Delay after conduction TonTurn off S1
S1Delay DP6 after turn-off, turn on S2
Figure FDA0002454425940000031
At time t0, i.e. Sa3Delay after shutdown TSW/2Turn off Sa4
Sa4Delay DP7 after turn-off, turn on Sa3
Figure FDA0002454425940000032
Sa3Delay DP8 after switching on, turn off Sa2
Figure FDA0002454425940000033
Off Sa2Delay DP9, turn on Sa1
Figure FDA0002454425940000034
The working mode and the switching time interval when the load current is negative are as follows:
the circuit is in a steady state, S1、Sa1、Sa3In the on state, S2、Sa2、Sa4In an off state; the commutation diodes DN1 and DN2 and the switch tube antiparallel diode are in an off state;
at time t0, turn off Sa3
Sa3DN1 is delayed after the switch-off, and S is conducteda4
Figure FDA0002454425940000035
Sa4DN2 is delayed after conduction and S is turned off1
Figure FDA0002454425940000036
S2DN3 is delayed after the switch-off, and S is conducted2
Figure FDA0002454425940000041
S1DN4 is delayed after conduction and S is turned offa1
Figure FDA0002454425940000042
Sa1DN5 is delayed after the switch-off, and S is conducteda2
Figure FDA0002454425940000043
S2Delay after conduction TonTurn off S2
S2Delay DP6 after turn-off, turn on S1
Figure FDA0002454425940000044
At time t0, i.e. Sa3Delay after shutdown TSW/2Turn off Sa4
Sa4DN7 is delayed after the switch-off, and S is conducteda3
Figure FDA0002454425940000045
Sa3DN8 is delayed after conduction and S is turned offa2
Figure FDA0002454425940000046
Off Sa2Delay DN9, turn on Sa1
Figure FDA0002454425940000047
In the above equations, the input parameters are as follows: vDCIs a dc bus voltage; vAUXIs the auxiliary supply voltage; t is1A_minIs Sa4Shortest ZVS on-time; t is3BIs S1(S2) Shortest turn-on time; i isrThe part of the commutation current peak value exceeding the load current; cm_ossIs a main switch tube S1-S2Parallel absorption capacitance: cm_oss=C1=C2;Ca_ossFor auxiliary switching of the tube Sa1-Sa4Parallel absorption capacitor Ca_oss=Ca1=Ca2=Ca3=Ca4
The following parameters can be expressed in terms of input quantity constraints; v'AUXFor secondary side voltage of transformer LrL for commutation inductancemIs an excitation inductor;
Figure FDA0002454425940000051
the exciting current value before the current conversion of the auxiliary switch is in positive correlation with the load current value in each switching period;
Figure FDA0002454425940000052
Figure FDA0002454425940000053
Figure FDA0002454425940000054
Figure FDA0002454425940000055
wherein T is14_minTo ignore the current change before charging the commutation current, iLoadT obtained by adding 01-t4The time interval of (c); t is1A_minWhen the load current is 0, Sa4ZVS on time T1AThe value of (c).
3. An auxiliary resonant commutating pole inverter with bidirectional reset of phase-correlated magnetizing current according to claim 2, characterized by: the auxiliary switch tube Sa1-Sa4The body parasitic capacitance and the external parallel absorption capacitance Ca1-Ca4Values are the same, and Ca _ oss is used for expression in the formula; main switch tube S1-S2The value of the body parasitic capacitance is the same as that of the external parallel absorption capacitance C1-C2, and Cm _ oss is used for expression in the formula; the following two cases of positive and negative output current are analyzed respectively; since the load inductance is large enough, the load current is considered constant within one PWM switching period; the specific description of each mode and the calculation process of the interval time when the output current is positive are as follows:
mode 1 (t)<t 0): the circuit is in a steady state, S2In a conducting state; load current ILoadBy S2Follow current, Sa1、Sa3Conducting, exciting current i LmBy Sa1、Sa3Free flow of value of
Figure FDA0002454425940000061
Mode 2(t0-t 1): at time t0, turn off Sa3Commutation inductor LrPassing through a transformer and an excitation inductor LmAfter being connected in parallel with an auxiliary capacitor Ca3、Ca4Resonance occurs, the potential at the R point drops, and the current of the current conversion inductor is changed
Figure FDA0002454425940000062
Increase from zero; excitation current
Figure FDA0002454425940000063
Changing to the positive direction;
this mode Sa3Voltage v acrossSa3And primary winding current
Figure FDA0002454425940000064
The expression is as follows:
Figure FDA0002454425940000065
Figure FDA0002454425940000066
exciting the inductive current according to the relation between the instantaneous value of the inductive current and the integral of the terminal voltage and the initial value of the current
Figure FDA0002454425940000067
And the current of the current converter
Figure FDA0002454425940000068
Figure FDA0002454425940000069
Figure FDA00024544259400000610
Wherein ω isaFor resonant angular frequency:
Figure FDA00024544259400000611
at time t1, Sa3Voltage resonance at both ends to VAUXThe time according to the present resonance mode is:
Figure FDA00024544259400000612
mode 3 (T1-T)2): at the time of t1, the potential at the point R is reduced to 0, Da4 is naturally conducted, and Sa4The ZVS commutation condition is achieved, the voltage at two ends of the excitation inductor is opposite to the current direction, and the magnitude of the excitation current is linearly reduced; the current of the commutation inductor is linearly increased; t is tAAt that moment, the primary winding current is reduced to zero, Sa4The conduction can be controlled to be ZVS conduction between the time period t 1-tA;
the primary winding current in the mode is as follows:
Figure FDA0002454425940000071
auxiliary pipe Sa4The soft on-time of (d) is:
Figure FDA0002454425940000072
Sa3turn off to Sa4The on-time interval DP1 is: (ii) a
Figure FDA0002454425940000073
Charging mode (t)1-t2) The current conversion inductance current is:
Figure FDA0002454425940000074
wherein: v'AUXIs the secondary side voltage of the transformer;
t2time of day, current of commutation
Figure FDA0002454425940000075
The value of (d) increases to a maximum value:
iLr(t2)=Ir+iLoad\*MERGEFORMAT(33)
wherein: i isrFor converting current
Figure FDA0002454425940000076
Part of the load current is exceeded
Simultaneous, charging mode (T)1-2) The duration of (c) is:
Figure FDA0002454425940000077
Sa4is conducted to S2The off-time interval DP2 is:
Figure FDA0002454425940000078
mode 4 (T)2-T3):T2At the moment, the main switch S2Turn-off, commutation of the inductive current iLrPart I of the medium excess load currentrDischarging the capacitor C1 and charging the capacitor C2, and enabling the potential of the point O to start resonant rising;
potential v at point OOAnd a current of commutation iLrThe expression is as follows:
Figure FDA0002454425940000081
Figure FDA0002454425940000082
wherein:
Figure FDA0002454425940000083
t3at that time, the potential at the point O rises to VDC(ii) a The mode duration is:
Figure FDA0002454425940000084
wherein:
Figure FDA0002454425940000085
mode 5 (T)3-t4):T3At that time, the potential at the point O rises to VDCD1 is naturally on, S1Meeting ZVS commutation condition, commutating inductance current i LrLinear droop, at time tB, commutating inductor current i LrDown to load current i L oad, and main switch tube S1May be in the time period T3-control conduction between tB to achieve ZVS conduction;
thus, obtaining: the duration of the ZVS on mode of the main switch is as follows:
Figure FDA0002454425940000086
S2turn off to S1The on-time interval DP3 is:
Figure FDA0002454425940000087
the mode duration is:
Figure FDA0002454425940000088
S1is conducted to Sa1The off-time interval DP4 is:
Figure FDA0002454425940000089
mode 6(t4-t6) commutation inductor current i L at time t4rFalls to 0A, turns off Sa1Excitation current i LmIs increased to
Figure FDA0002454425940000091
Excitation current
Figure FDA0002454425940000092
To Ca1Charging Ca2Discharging, and enabling the potential of the point Q to start to approximately linearly decrease; at the time of t5, the potential at the point Q is reduced to 0, and Da2 leads to the natural conductionOpening;
t5-t6 is determined by PWM control requirements, Sa2The conduction can be controlled between t5 and t 6;
t4-t5the duration is:
Figure FDA0002454425940000093
Sa1turn off to Sa2The on-time interval DP5 is:
DP5=T4-5\*MERGEFORMAT(46)
mode 7(t6-t8) time t6, turn off S1Load current iLoadC1 is charged, C2 is discharged, and the potential at the point O linearly drops; at the time t7, the potential at the point O is reduced to 0, and the diode D2 is naturally conducted; s2Conduction may be controlled after t 7;
t6-t7the duration is:
Figure FDA0002454425940000094
S1turn off to S2The on-time interval DP6 is:
DP6=T6-7\*MERGEFORMAT(48)
mode 8(t8-t9) time t8, turn off Sa4Exciting current
Figure FDA0002454425940000095
To Ca4Charging Ca3Discharging, and the potential of the R point begins to rise;
potential v at point RRAnd current
Figure FDA0002454425940000096
The expression is as follows:
Figure FDA0002454425940000097
Figure FDA0002454425940000098
wherein:
Figure FDA0002454425940000101
at t9At the moment, the potential at the point R resonates to VAUXThe pattern duration is:
Figure FDA0002454425940000102
mode 9(t9-t10) when the potential at the point R rises to V at time t9AUXDa3 is naturally turned on, Sa3Reaching ZVS commutation condition, reducing the exciting current to zero at tC time; sa3Conduction may be controlled between time period T9C;
the excitation current in the mode is as follows:
Figure FDA0002454425940000103
Sa3the soft on-time of (d) is:
Figure FDA0002454425940000104
Sa4turn off to Sa3The on-time interval DP7 is:
Figure FDA0002454425940000105
t10time of day, exciting current
Figure FDA0002454425940000106
Is increased to
Figure FDA0002454425940000107
The mode duration is:
Figure FDA0002454425940000108
Sa3is conducted to Sa2The off-time interval DP8 is:
Figure FDA0002454425940000109
mode 10(t10-t 11): at time t10, turn off Sa2(ii) a Auxiliary converter transformer excitation current
Figure FDA00024544259400001010
To Ca2Charging Ca1Discharging, and enabling the potential of the point Q to rise approximately linearly; at time t11, the potential at point P rises to VAUXDa1 is naturally turned on; controlling conduction S before the next switching cyclea1
The mode duration is:
Figure FDA0002454425940000111
Sa2turn off to Sa1The on-time interval DP9 is:
DP9=T10-11\*MERGEFORMAT(59)
the specific description of each mode and the calculation process of the interval time when the output current is negative are as follows:
mode 1 (t)<t 0): the circuit is in a steady state, S1In a conducting state; load current ILoadBy S1Follow current, Sa1、Sa3Conducting, exciting current i LmBy Sa1、Sa3Free flow of value of
Figure FDA0002454425940000112
Mode 2(t0-t 1): at time t0, turn off Sa3Commutation inductor LrPassing through a transformer and an excitation inductor LmAfter being connected in parallel with an auxiliary capacitor Ca3、Ca4Resonance occurs, R point potentialDropping, commutating inductive current
Figure FDA0002454425940000113
Increase from zero; excitation current
Figure FDA0002454425940000114
A positive change;
this mode Sa3Voltage v acrossSa3And primary winding current iNThe expression is:
Figure FDA0002454425940000115
Figure FDA0002454425940000116
exciting the inductive current according to the relation between the instantaneous value of the inductive current and the integral of the terminal voltage and the initial value of the current
Figure FDA0002454425940000117
And the current of the current converter
Figure FDA0002454425940000118
Figure FDA0002454425940000119
Figure FDA00024544259400001110
Wherein ω isaFor resonant angular frequency:
Figure FDA00024544259400001111
at time t1, Sa3Voltage resonance at both ends to VAUXThe time according to the present resonance mode is:
Figure FDA00024544259400001112
mode 3 (T1-T)2): at the time of t1, the potential at the point R is reduced to 0, Da4 is naturally conducted, and Sa4The ZVS commutation condition is achieved, the voltage at two ends of the excitation inductor is opposite to the current direction, and the magnitude of the excitation current is linearly reduced; the current of the commutation inductor is linearly increased; t is tAAt that moment, the primary winding current is reduced to zero, Sa4The conduction can be controlled to be ZVS conduction between the time period t 1-tA;
the primary winding current in the mode is as follows:
Figure FDA0002454425940000121
auxiliary pipe Sa4The soft on-time of (d) is:
Figure FDA0002454425940000122
Sa3turn off to Sa4The on-time interval DN1 is: (ii) a
Figure FDA0002454425940000123
Charging mode (t)1-t2) The current conversion inductance current is:
Figure FDA0002454425940000124
wherein: v'AUXIs the secondary side voltage of the transformer;
t2time of day, current of commutation
Figure FDA0002454425940000125
The value of (d) increases to a maximum value:
iLr(t2)=Ir+iLoad\*MERGEFORMAT(70)
wherein: i isrFor converting current
Figure FDA0002454425940000126
Part of the load current is exceeded
Simultaneous, charging mode (T)1-2) The duration of (c) is:
Figure FDA0002454425940000127
Sa4is conducted to S1The off-time interval DN2 is:
Figure FDA0002454425940000128
mode 4 (T)2-T3):T2At the moment, the main switch S1Turn-off, commutation of the inductive current iLrPart I of the medium excess load currentrDischarging the capacitor C2 and charging the capacitor C1, and enabling the potential of the point O to start to fall in a resonant mode;
potential v at point OOAnd a current of commutation iLrThe expression is as follows:
Figure FDA0002454425940000131
Figure FDA0002454425940000132
wherein:
Figure FDA0002454425940000133
t3at the moment, the potential of the point O is reduced to 0; the mode duration is:
Figure FDA0002454425940000134
wherein:
Figure FDA0002454425940000135
mode 5 (T)3T4) at T3At time, D2 turns on naturally, S2Meeting ZVS commutation condition, commutating inductance current i LrLinear droop, at time tB, commutating inductor current i LrDown to load current i L oad, and main switch tube S2May be in the time period T3-tB;
thus, obtaining: the switching-on duration of the main switch ZVS is:
Figure FDA0002454425940000136
S1turn off to S2The on-time interval DN3 is:
Figure FDA0002454425940000137
the mode duration is:
Figure FDA0002454425940000138
S2is conducted to Sa1The off-time interval DN4 is:
Figure FDA0002454425940000141
mode 6(t4-t6) turning off S at time t4a1Commutating inductor current i LrDown to 0A, excitation current i LmIs increased reversely to
Figure FDA0002454425940000142
Excitation current
Figure FDA0002454425940000143
To Ca1Charging Ca2Discharging, and enabling the potential of the point Q to start to approximately linearly decrease; at the time of t5, the potential of the point Q is reduced to 0, and Da2 is naturally conducted; t5-t6 is determined by PWM control requirements, Sa2The conduction can be controlled between t5 and t 6;
t4-t5the duration is:
Figure FDA0002454425940000144
Sa1turn off to Sa2The on-time interval DN5 is:
DN5=T4-5\*MERGEFORMAT(83)
mode 7(t6-t8) time t6, turn off S2Load current iLoadC2 is charged, C1 is discharged, and the electric linearity of the point O is reduced; at time t7, the potential at point O rises to VDCDiode D1 turns on naturally; t7-t8 is determined by PWM control requirements, S1Conduction may be controlled after t 7;
t6-t7the duration is:
Figure FDA0002454425940000145
S2turn off to S1The on-time interval DN6 is:
DN6=T6-7\*MERGEFORMAT(85)
mode 8(t8-t9) time t8, turn off Sa4Exciting current
Figure FDA0002454425940000146
To Ca4Charging Ca3Discharging, and the potential of the R point begins to rise;
potential v at point RRAnd current
Figure FDA0002454425940000147
The expression is as follows:
Figure FDA0002454425940000148
Figure FDA0002454425940000151
wherein:
Figure FDA0002454425940000152
at t9At the moment, the potential at the point R resonates to VAUXThe pattern duration is:
Figure FDA0002454425940000153
mode 9(t9-t10) when the potential at the point R rises to V at time t9AUXDa3 is naturally turned on, Sa3Reaching ZVS commutation condition, reducing the exciting current to zero at tC time; sa3Conduction may be controlled between time period T9C;
the excitation current in the mode is as follows:
Figure FDA0002454425940000154
Sa3the soft on-time of (d) is:
Figure FDA0002454425940000155
Sa4turn off to Sa3The on-time interval DN7 is:
Figure FDA0002454425940000156
t10time of day, exciting current
Figure FDA0002454425940000157
Is increased to
Figure FDA0002454425940000158
The mode duration is:
Figure FDA0002454425940000159
Sa3is conducted to Sa2The off-time interval DN8 is:
Figure FDA00024544259400001510
mode 10(t10-t 11): at time t10, turn off Sa2(ii) a Auxiliary converter transformer excitation current
Figure FDA00024544259400001511
To Ca2Charging Ca1Discharging, and enabling the potential of the point Q to rise approximately linearly; at time t11, the potential at point P rises to VAUXDa1 is naturally turned on; controlling conduction S before the next switching cyclea1
The mode duration is:
Figure FDA0002454425940000161
Sa2turn off to Sa1The on-time interval DN9 is:
DN9=T10-11\*MERGEFORMAT(96)
according to the analysis of the circuit structure and the working principle, the main switch needs to design a converter inductor, a transformer turn ratio and a switch parallel absorption capacitor when finishing zero voltage conversion; the auxiliary switch needs to design an excitation inductor to complete zero voltage commutation; the design of the above parameters of each element is completed as follows (analysis is performed with the output current as positive time);
when V'AUXLess than VDC/2When the current is greater than the load current, S is turned off2Ensuring that the switching tube reliably completes current conversion; and the turn-off loss of the main switch is proportional to the square of the channel current at the turn-off instant [8,13 ]]Thus S2Is in a satisfied formThe turn-off loss of the main switch is approximately negligible (turn-off loss less than 1/10):
Figure FDA0002454425940000162
wherein ILoad_rmsIs the effective value of the load current;
during actual circuit operation, load current detection has errors, resulting in IrError of (2), influence commutation time T2-3And S1ZVT on time T3BAfter summation of the formula IrDerivation is carried out asrThe dead time of the main switch when the formula is met can be a fixed value;
Figure FDA0002454425940000163
in parallel, the following steps:
Figure FDA0002454425940000164
thus, obtaining:
Figure FDA0002454425940000171
wherein the value range of β obtained by the solution of sum is:
Figure FDA0002454425940000172
to ensure reliable commutation of the lagging arm and Sa4Sufficient ZVS on-time, taken together, to obtain:
Figure FDA0002454425940000173
to ensure magnetizing current is in commutation inductor LrAfter the linear discharge phase (t ═ t)4) And resonant inductor LrBefore the linear charging stage(t=t1) Equal in magnitude and opposite in direction (neglecting the change of magnetizing current in the resonant commutation stage of the hysteresis arm at the primary side):
Figure FDA0002454425940000174
wherein T is14T is obtained by adding different time types1-t4Of each switching cycle, thereby
Figure FDA0002454425940000175
Different; from the sum, it can be seen that when the load current is 0, according to Sa4Shortest ZVS time T1A_minCalculated LmAccording to the condition that S is greater than 0 when any load current isa4There is a requirement for enough ZVS on-time;
will iLoadSubstituting 0 for formula (II), and summing to obtain t1-t4The time interval of (c):
T14=T14_min\*MERGEFORMAT(104)
simultaneous:
Figure FDA0002454425940000176
wherein T is1A_minWhen the load current is 0, Sa4ZVS on time T1AThe value of (c).
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CN111490698A (en) * 2020-04-16 2020-08-04 山西大学 An Auxiliary Resonant Commutated Pole Inverter with Phase-dependent ZVT Magnetization Current Minimization
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CN114070039A (en) * 2021-09-28 2022-02-18 山西大学 Equivalent capacitance voltage-dividing auxiliary commutation non-reverse recovery diode boost converter
CN114157137A (en) * 2021-10-07 2022-03-08 山西大学 An Equivalent Capacitor Dividing Soft-switching Inverter with Cooperative Auxiliary Commutation of Inner and Outer Loops

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CN111490698B (en) * 2020-04-16 2022-03-18 山西大学 Auxiliary resonance converter pole inverter with minimized phase-correlated ZVT magnetizing current
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CN112398359A (en) * 2020-11-09 2021-02-23 国创新能源汽车智慧能源装备创新中心(江苏)有限公司 Control circuit and control method of auxiliary resonance converter pole converter
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CN114157137B (en) * 2021-10-07 2023-07-18 山西大学 An Equivalent Capacitive Voltage Dividing Soft-Switching Inverter with Inner and Outer Ring Cooperative Auxiliary Commutation
CN113972835A (en) * 2021-10-07 2022-01-25 山西大学 Soft switch ANPC three-level inverter for capacitance voltage division auxiliary commutation
CN114024439A (en) * 2021-10-23 2022-02-08 山西大学 A Symmetrically Excited Coupled Inductor Voltage Divider Auxiliary Commutation Inverter
CN114024439B (en) * 2021-10-23 2023-07-18 山西大学 A Symmetrically Excited Coupled Inductor Divider Auxiliary Converter Inverter

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