CN111404376B - A sliding mode control method and system based on Buck circuit - Google Patents
A sliding mode control method and system based on Buck circuit Download PDFInfo
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
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- H02M3/02—Conversion of DC power input into DC power output without intermediate conversion into AC
- H02M3/04—Conversion of DC power input into DC power output without intermediate conversion into AC by static converters
- H02M3/10—Conversion of DC power input into DC power output without intermediate conversion into AC by static converters using discharge tubes with control electrode or semiconductor devices with control electrode
- H02M3/145—Conversion of DC power input into DC power output without intermediate conversion into AC 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
- H02M3/155—Conversion of DC power input into DC power output without intermediate conversion into AC 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
- H02M3/156—Conversion of DC power input into DC power output without intermediate conversion into AC 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 with automatic control of output voltage or current, e.g. switching regulators
- H02M3/158—Conversion of DC power input into DC power output without intermediate conversion into AC 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 with automatic control of output voltage or current, e.g. switching regulators including plural semiconductor devices as final control devices for a single load
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Abstract
Description
技术领域technical field
本发明涉及Buck电路技术领域,具体涉及一种基于Buck电路的滑模控制方法和系统。The invention relates to the technical field of Buck circuits, in particular to a sliding mode control method and system based on Buck circuits.
背景技术Background technique
随着用电设备的多样化,越来越多的设备,如人工智能卡,要求电源能应对大的负载或输入电压突变等情况。传统Buck电路控制大都使用脉宽调制技术,但脉宽调制的参数依赖系统结构,应对较大的信号干扰时,不得不降低系统带宽,动态特性较差。With the diversification of electrical equipment, more and more equipment, such as artificial intelligence cards, require the power supply to cope with large loads or sudden changes in input voltage. Most of the traditional Buck circuit control uses pulse width modulation technology, but the parameters of pulse width modulation depend on the system structure. When dealing with large signal interference, the system bandwidth has to be reduced, and the dynamic characteristics are poor.
电压变换电路作为一种非线性系统,可采用基于变结构理论的滑模控制策略。滑模控制是一种使系统结构时刻变化的非线性控制,根据控制目标沿设计的轨迹、作高频小幅运动,即滑模运动。滑模控制使得系统在应对大的信号干扰时,表现出较好的鲁棒性,以较快的速度实现系统收敛稳定,具有较好的动态性能与稳定性。As a nonlinear system, the voltage conversion circuit can adopt the sliding mode control strategy based on the variable structure theory. Sliding mode control is a kind of nonlinear control that makes the system structure change all the time. According to the control target, it performs high-frequency and small-amplitude motion along the designed trajectory, that is, sliding mode motion. Sliding mode control enables the system to show better robustness when dealing with large signal disturbances, achieve system convergence and stability at a faster speed, and have better dynamic performance and stability.
如图1所示,为现有技术中基于滑模控制策略的Buck电路框图,电路主要采集输出电容两端电压,并与参考电压作差,作为状态变量输入滑模控制器,滑模控制器输出控制信号u用于控制开关管的开通关断。输出电压Vo为滤波电容C及其等效电阻ESR的两端电压叠加,由C产生的电压滞后于电感变化电流。As shown in Figure 1, it is a block diagram of the Buck circuit based on the sliding mode control strategy in the prior art. The circuit mainly collects the voltage at both ends of the output capacitor and makes a difference with the reference voltage, which is input to the sliding mode controller as a state variable. The output control signal u is used to control the on-off of the switch tube. The output voltage Vo is the superposition of the voltages at both ends of the filter capacitor C and its equivalent resistor ESR, and the voltage generated by C lags the inductance change current.
常规滑模控制策略以Vo作为滑模控制器的状态变量进行分析时,会使计算出的控制变量滞后于实际电流变化,不能快速响应负载电流跃变,降低控制系统调整速度。常规滑模控制策略需在支路中加入精密电阻进行电流信号的采集,这样也增加了线路成本与layout压力。When the conventional sliding mode control strategy uses Vo as the state variable of the sliding mode controller for analysis, the calculated control variable will lag behind the actual current change, and it cannot respond quickly to the load current jump, reducing the adjustment speed of the control system. The conventional sliding mode control strategy needs to add precision resistors in the branch to collect the current signal, which also increases the line cost and layout pressure.
发明内容SUMMARY OF THE INVENTION
本发明实施例中提供了一种基于Buck电路的滑模控制方法和系统,通过在滤波电感两端串联RC回路采集电感电流,并在采样电压中注入电感电流成分,以解决现有Buck电路输出电压滞后电感电流变化的问题,提高控制回路反馈调节速度,快速响应信号干扰,增强电路动态性能。The embodiments of the present invention provide a sliding mode control method and system based on a Buck circuit. The inductor current is collected by connecting an RC loop at both ends of the filter inductor in series, and the inductor current component is injected into the sampled voltage, so as to solve the problem of the output of the existing Buck circuit. The problem of voltage lag inductor current change improves the feedback adjustment speed of the control loop, responds quickly to signal interference, and enhances the dynamic performance of the circuit.
本发明实施例公开了如下技术方案:The embodiment of the present invention discloses the following technical solutions:
本发明第一方面提供了一种基于Buck电路的滑模控制方法,包括:A first aspect of the present invention provides a Buck circuit-based sliding mode control method, comprising:
(1)根据Buck电路计算包含电感电流交流信息的反馈电压值V*,(1) Calculate the feedback voltage value V* containing the AC information of the inductor current according to the Buck circuit,
V*=miL+nVo,V * =mi L +nV o ,
其中,m和n为正的常实数,iL为流过电感的电流,Vo为输出电压;Among them, m and n are positive constant real numbers, i L is the current flowing through the inductor, and V o is the output voltage;
(2)根据反馈电压值V*建立Buck电路状态空间方程,(2) Establish the Buck circuit state space equation according to the feedback voltage value V*,
其中, 为状态变量,u∈{0,1}为控制变量,控制开关管的开通关断,矩阵参数Vin为输入电压,Vo为输出电压,Vref为参考电压,V*为反馈电压值,C为输出电容,L为滤波电感,R为负载;in, is the state variable, u∈{0,1} is the control variable, which controls the on-off of the switch tube, the matrix parameter V in is the input voltage, V o is the output voltage, V ref is the reference voltage, V* is the feedback voltage value, C is the output capacitor, L is the filter inductance, and R is the load;
(3)根据Buck电路状态空间方程建立滑模面方程为,(3) According to the Buck circuit state space equation, the sliding mode surface equation is established as,
其中,S为滑模面;Among them, S is the sliding surface;
(4)根据滑模面方程选取二阶滑模面方程为,(4) According to the sliding mode surface equation, the second-order sliding mode surface equation is selected as,
其中,滑模面系数k>0;Among them, the sliding surface coefficient k>0;
(5)根据二阶滑模面方程,定义Buck电路运行在滑模面上时的状态空间方程为,(5) According to the second-order sliding mode surface equation, the state space equation of Buck circuit running on the sliding mode surface is defined as,
(6)根据Buck电路运行在滑模面上时的状态空间方程,设定滑模面控制率规则为,(6) According to the state space equation of the Buck circuit running on the sliding surface, set the sliding surface control rate rule as,
(7)根据步骤(2)、(5)和(6)的方程,计算滑模切换区间[l1,l2]和滑模面系数k,根据滑模切换区间[l1,l2]和滑模面系数k对开关管进行最优滑模控制。(7) Calculate the sliding mode switching interval [l1, l2] and the sliding mode surface coefficient k according to the equations of steps (2), (5) and (6). According to the sliding mode switching interval [l1, l2] and the sliding mode surface The coefficient k performs optimal sliding mode control on the switch tube.
进一步地,所述根据Buck电路计算包含电感电流交流信息的反馈电压值V*的过程为:Further, the process of calculating the feedback voltage value V* containing the AC information of the inductor current according to the Buck circuit is:
(1)根据频域分析,计算电感L两端电压为,(1) According to the frequency domain analysis, the voltage across the inductor L is calculated as,
uL=(sLL+DCR)iL,u L =(sLL+DCR)i L ,
其中,s=jω是复参变量,称为复频率,电感L由理想电感LL及等效电阻DCR组成,流过电感的电流为iL;Among them, s=jω is a complex parameter, called complex frequency, the inductance L is composed of an ideal inductance LL and an equivalent resistance DCR, and the current flowing through the inductance is i L ;
(2)计算电容C1两端的电压为,(2) Calculate the voltage across capacitor C1 as,
(3)令电路参数则变量uC1与iL成正比,(3) Let the circuit parameters Then the variable u C1 is proportional to i L ,
uC1=DCR*iL;u C1 =DCR*i L ;
(4)计算C1两端的交流分量电压为,(4) Calculate the AC component voltage across C 1 as,
(5)计算电感电流交流信息的反馈电压值V*为,(5) Calculate the feedback voltage value V* of the AC information of the inductor current as,
其中,m和n为正的常实数。in, m and n are positive constant real numbers.
进一步地,所述Buck电路特性为:Further, the characteristics of the Buck circuit are:
进一步地,所述Buck电路运行在滑模面上的条件为:Further, the condition that the Buck circuit operates on the sliding surface is:
进一步地,所述滑模切换区间为:Further, the sliding mode switching interval is:
其中,m,n∈(0,1),l1、l2之间的区域即为滑模切换区间。Among them, m, n∈(0,1), the area between l1 and l2 is the sliding mode switching interval.
本发明第二方面提供了一种基于Buck电路的滑模控制系统,包括:A second aspect of the present invention provides a Buck circuit-based sliding mode control system, comprising:
电压偏差计算单元,用于计算反馈电压值V*和电压偏差值Vref-V*;The voltage deviation calculation unit is used to calculate the feedback voltage value V* and the voltage deviation value V ref -V*;
Buck电路状态空间建构单元,用于建立Buck变换器状态空间方程和电路运行在滑模面上时的状态空间方程;Buck circuit state space construction unit, used to establish the Buck converter state space equation and the state space equation when the circuit runs on the sliding surface;
滑模面构建单元,用于建立滑模面方程和二阶滑模面方程;Sliding surface construction unit, used to establish sliding surface equations and second-order sliding surface equations;
运算单元,用于计算滑模面控制率规则和滑模切换区间。The operation unit is used to calculate the sliding mode surface control rate rule and the sliding mode switching interval.
进一步地,所述电压偏差计算单元计算反馈电压值V*的过程为:Further, the process of calculating the feedback voltage value V* by the voltage deviation calculation unit is:
(1)根据频域分析,计算电感L两端电压为,(1) According to the frequency domain analysis, the voltage across the inductor L is calculated as,
uL=(sLL+DCR)iL,u L =(sLL+DCR)i L ,
其中,s=jω是复参变量,称为复频率,电感L由理想电感LL及等效电阻DCR组成,流过电感的电流为iL;Among them, s=jω is a complex parameter, called complex frequency, the inductance L is composed of an ideal inductance LL and an equivalent resistance DCR, and the current flowing through the inductance is i L ;
(2)计算电容C1两端的电压为,(2) Calculate the voltage across capacitor C1 as,
(3)令电路参数则变量uC1与iL成正比,(3) Let the circuit parameters Then the variable u C1 is proportional to i L ,
uC1=DCR*iL;u C1 =DCR*i L ;
(4)计算C1两端的交流分量电压为,(4) Calculate the AC component voltage across C 1 as,
(5)计算电感电流交流信息的反馈电压值V*为,(5) Calculate the feedback voltage value V* of the AC information of the inductor current as,
其中,m和n为正的常实数。in, m and n are positive constant real numbers.
进一步地,所述系统运行在滑模面上的条件为:Further, the conditions for the system to operate on the sliding surface are:
发明内容中提供的效果仅仅是实施例的效果,而不是发明所有的全部效果,上述技术方案中的一个技术方案具有如下优点或有益效果:The effects provided in the summary of the invention are only the effects of the embodiments, rather than all the effects of the invention. One of the above technical solutions has the following advantages or beneficial effects:
本发明提供的基于Buck电路的滑模控制方法和系统,通过在Buck电路中引入滑模控制,并在采样电压中注入电感电流成分,使得滑模面S的计算不再受限于滞后的电容电压,从而使计算的控制变量u能更快地响应负载电流变化,提升Buck电路的反馈调节速度;本发明由于滑模控制本身具有鲁棒性、稳定性的特点,因此增强了系统抑制信号干扰的能力;本发明以电容电压表示电感电流,避免在主功率回路上串接精密电阻,降低了电路功耗,节省了成本。The sliding mode control method and system based on the Buck circuit provided by the present invention, by introducing the sliding mode control in the Buck circuit and injecting the inductor current component into the sampling voltage, so that the calculation of the sliding mode surface S is no longer limited by the hysteresis capacitance voltage, so that the calculated control variable u can respond to the change of the load current faster and improve the feedback adjustment speed of the Buck circuit; because the sliding mode control itself has the characteristics of robustness and stability, the present invention enhances the system to suppress signal interference The present invention uses the capacitor voltage to represent the inductor current, avoids the series connection of precision resistors on the main power loop, reduces circuit power consumption and saves costs.
附图说明Description of drawings
为了更清楚地说明本发明实施例或现有技术中的技术方案,下面将对实施例或现有技术描述中所需要使用的附图作简单地介绍,显而易见地,对于本领域普通技术人员而言,在不付出创造性劳动的前提下,还可以根据这些附图获得其他的附图。In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the following briefly introduces the accompanying drawings that need to be used in the description of the embodiments or the prior art. In other words, other drawings can also be obtained based on these drawings without creative labor.
图1为本发明所述现有技术中基于滑模控制策略的Buck电路框图;Fig. 1 is the Buck circuit block diagram based on sliding mode control strategy in the prior art of the present invention;
图2为本发明所述Buck电路框图;Fig. 2 is the Buck circuit block diagram of the present invention;
图3为本发明实施例所述Buck电路滑模存在区域示意图;FIG. 3 is a schematic diagram of the existence area of the Buck circuit sliding mode according to an embodiment of the present invention;
图4为本发明所述基于Buck电路的滑模控制系统结构示意图。FIG. 4 is a schematic structural diagram of the sliding mode control system based on the Buck circuit according to the present invention.
具体实施方式Detailed ways
为了能清楚说明本方案的技术特点,下面通过具体实施方式,并结合其附图,对本发明进行详细阐述。下文的公开提供了许多不同的实施例或例子用来实现本发明的不同结构。为了简化本发明的公开,下文中对特定例子的部件和设置进行描述。此外,本发明可以在不同例子中重复参考数字和/或字母。这种重复是为了简化和清楚的目的,其本身不指示所讨论各种实施例和/或设置之间的关系。应当注意,在附图中所图示的部件不一定按比例绘制。本发明省略了对公知组件和处理技术及工艺的描述以避免不必要地限制本发明。In order to clearly illustrate the technical features of the solution, the present invention will be described in detail below through specific embodiments and in conjunction with the accompanying drawings. The following disclosure provides many different embodiments or examples for implementing different structures of the invention. In order to simplify the disclosure of the present invention, the components and arrangements of specific examples are described below. Furthermore, the present invention may repeat reference numerals and/or letters in different instances. This repetition is for the purpose of simplicity and clarity and does not in itself indicate a relationship between the various embodiments and/or arrangements discussed. It should be noted that the components illustrated in the figures are not necessarily drawn to scale. Descriptions of well-known components and processing techniques and processes are omitted from the present invention to avoid unnecessarily limiting the present invention.
如图2所示,为本发明Buck电路框图,Buck电路的控制目标是电压输出稳定。As shown in FIG. 2 , which is a block diagram of the Buck circuit of the present invention, the control objective of the Buck circuit is to stabilize the voltage output.
本发明所述方法包括:The method of the present invention includes:
(1)根据Buck电路计算包含电感电流交流信息的反馈电压值V*,(1) Calculate the feedback voltage value V* containing the AC information of the inductor current according to the Buck circuit,
V*=miL+nVo,V * =mi L +nV o ,
其中,m和n为正的常实数,iL为流过电感的电流,Vo为输出电压;Among them, m and n are positive constant real numbers, i L is the current flowing through the inductor, and V o is the output voltage;
(2)根据反馈电压值V*建立Buck电路状态空间方程,(2) Establish the Buck circuit state space equation according to the feedback voltage value V*,
其中, 为状态变量,u∈{0,1}为控制变量,控制开关管的开通关断,矩阵参数Vin为输入电压,Vo为输出电压,Vref为参考电压,V*为反馈电压值,C为输出电容,L为滤波电感,R为负载;in, is the state variable, u∈{0,1} is the control variable, which controls the on-off of the switch tube, the matrix parameter V in is the input voltage, V o is the output voltage, V ref is the reference voltage, V * is the feedback voltage value, C is the output capacitor, L is the filter inductance, and R is the load;
(3)根据Buck电路状态空间方程建立滑模面方程为,(3) According to the Buck circuit state space equation, the sliding mode surface equation is established as,
其中,S为滑模面;Among them, S is the sliding surface;
(4)根据滑模面方程选取二阶滑模面方程为,(4) According to the sliding mode surface equation, the second-order sliding mode surface equation is selected as,
其中,滑模面系数k>0;Among them, the sliding surface coefficient k>0;
(5)根据二阶滑模面方程,定义Buck电路运行在滑模面上时的状态空间方程为,(5) According to the second-order sliding mode surface equation, the state space equation of Buck circuit running on the sliding mode surface is defined as,
(6)根据Buck电路运行在滑模面上时的状态空间方程,设定滑模面控制率规则为,(6) According to the state space equation of the Buck circuit running on the sliding surface, set the sliding surface control rate rule as,
(7)根据步骤(2)、(5)和(6)的方程,计算滑模切换区间[l1,l2]和滑模面系数k,根据滑模切换区间[l1,l2]和滑模面系数k对开关管进行最优滑模控制。(7) Calculate the sliding mode switching interval [l1, l2] and the sliding mode surface coefficient k according to the equations of steps (2), (5) and (6). According to the sliding mode switching interval [l1, l2] and the sliding mode surface The coefficient k performs optimal sliding mode control on the switch tube.
在Buck电路中,电阻R3和电容C1形成串联支路,串联支路和滤波电感L并联,串联支路经由R4接入反馈分压电阻R1、R2之间,电压偏差Vref-V*作为滑模控制器的输入用于控制开关管S1的开通和关断。In the Buck circuit, the resistor R3 and the capacitor C1 form a series branch, the series branch is connected in parallel with the filter inductor L, and the series branch is connected between the feedback voltage divider resistors R1 and R2 through R4, and the voltage deviation V ref -V* is used as a sliding The input of the mode controller is used to control the turn-on and turn-off of the switch S1.
根据Buck电路计算包含电感电流交流信息的反馈电压值V*的过程为:The process of calculating the feedback voltage value V* containing the AC information of the inductor current according to the Buck circuit is:
(1)根据频域分析,计算电感L两端电压为,(1) According to the frequency domain analysis, the voltage across the inductor L is calculated as,
uL=(sLL+DCR)iL,u L =(sLL+DCR)i L ,
其中,s=jω是复参变量,称为复频率,电感L由理想电感LL及等效电阻DCR组成,流过电感的电流为iL;Among them, s=jω is a complex parameter, called complex frequency, the inductance L is composed of an ideal inductance LL and an equivalent resistance DCR, and the current flowing through the inductance is i L ;
(2)计算电容C1两端的电压为,(2) Calculate the voltage across capacitor C1 as,
(3)令电路参数则变量uC1与iL成正比,(3) Let the circuit parameters Then the variable u C1 is proportional to i L ,
uC1=DCR*iL;u C1 =DCR*i L ;
(4)计算C1两端的交流分量电压为,(4) Calculate the AC component voltage across C 1 as,
(5)计算电感电流交流信息的反馈电压值V*为,(5) Calculate the feedback voltage value V* of the AC information of the inductor current as,
其中,m和n为正的常实数。in, m and n are positive constant real numbers.
因为电容电压波形与电感电流波形相同,因此可采集C1两端电压表示电感电流,避免了在主回路中使用精密电阻。在反馈电压中注入电流纹波信号,提高采集信号的相位,使得滑模面S计算的相位提前,从而使计算的控制变量u能更快地响应系统变化,提高响应速度。Because the capacitor voltage waveform is the same as the inductor current waveform, the voltage across C1 can be collected to represent the inductor current, avoiding the use of precision resistors in the main loop. The current ripple signal is injected into the feedback voltage to increase the phase of the collected signal, so that the phase calculated by the sliding mode surface S is advanced, so that the calculated control variable u can respond to system changes faster and improve the response speed.
Buck电路特性为:Buck circuit characteristics are:
本发明中,二阶滑模控制技术能满足系统快速响应与鲁棒性要求,以输出电压偏差及其导数组合滑模面函数。In the present invention, the second-order sliding mode control technology can meet the requirements of fast response and robustness of the system, and the sliding mode surface function is combined by the output voltage deviation and its derivative.
由电路运行在滑模面上时的状态空间方程,解一阶常系数线性微分方程可得:From the state space equation of the circuit running on the sliding mode surface, solving the first-order constant coefficient linear differential equation can be obtained:
Vref-nVo=miL+x1(0)e-kt,V ref -nV o =mi L +x 1 (0)e -kt ,
其中,x1(0)为x1在t=0时刻的状态值。Among them, x 1 (0) is the state value of x 1 at time t=0.
由于且DCR极小为毫欧级,又经过电阻分压,所以m<<1,miL趋于0。因此,在k>0时,输出电压Vo以指数形式趋于参考电压,滑模控制能实现Buck电路稳定。because And the DCR is very small to the milliohm level, and it is divided by resistance, so m<<1, mi L tends to 0. Therefore, when k>0, the output voltage V o tends to the reference voltage exponentially, and the sliding mode control can realize the stability of the Buck circuit.
对本发明所述Buck电路,当S>0时,输出电压Vo小于参考电压,开关管S1导通,即u=1;当S<0时,输出电压Vo大于参考电压,开关管S1关断,即u=0。因此,定义滑模面控制率规则为:For the Buck circuit of the present invention, when S>0, the output voltage V o is less than the reference voltage, and the switch S1 is turned on, that is, u=1; when S<0, the output voltage V o is greater than the reference voltage, and the switch S1 is turned off. off, that is, u=0. Therefore, the sliding mode surface control rate rule is defined as:
为确保轨线保持在滑动线上,Buck电路必须遵守由李雅普诺夫第二方法推导出的存在条件,它决定了系统的渐进稳定性,因此Buck电路运行在滑模面上的条件为:To ensure that the trajectory remains on the sliding line, the Buck circuit must obey the existence condition derived by Lyapunov's second method, which determines the asymptotic stability of the system, so the conditions for the Buck circuit to operate on the sliding surface are:
通过联立空间状态方程和滑模面方程,计算出滑模切换区间为:Through the simultaneous space state equation and sliding mode surface equation, the sliding mode switching interval is calculated as:
其中,m,n∈(0,1),直线l1、l2平行,且l2经过点(Vref,0),l1、l2之间的区域为滑模切换区间,如图3所示。Among them, m, n∈(0, 1), the straight lines l1 and l2 are parallel, and l2 passes through the point (V ref ,0), and the area between l1 and l2 is the sliding mode switching interval, as shown in Figure 3.
时,x1以指数速度趋于0,即直线x1=0。只要l1、l2与x2轴有交点,即斜率不是无穷大,系统就能到达滑模面S=0。斜率无穷大时,可得出 When , x 1 tends to 0 at an exponential speed, that is, the straight line x 1 =0. As long as the l1, l2 and x2 axes have intersections, that is, the slope is not infinite, the system can reach the sliding mode surface S=0. When the slope is infinite, we can get
计算出Calculate
实际应用时,尽量选择使初始到达点在滑动区间的滑模面系数k。In practical application, try to choose the sliding mode surface coefficient k that makes the initial arrival point in the sliding interval.
如图4所示,为本发明所述基于Buck电路的滑模控制系统结构示意图,系统包括:As shown in Figure 4, it is a schematic structural diagram of the Buck circuit-based sliding mode control system according to the present invention. The system includes:
电压偏差计算单元,用于计算反馈电压值V*和电压偏差值Vref-V*;The voltage deviation calculation unit is used to calculate the feedback voltage value V* and the voltage deviation value V ref -V*;
Buck电路状态空间建构单元,用于建立Buck变换器状态空间方程和电路运行在滑模面上时的状态空间方程;Buck circuit state space construction unit, used to establish the Buck converter state space equation and the state space equation when the circuit runs on the sliding surface;
滑模面构建单元,用于建立滑模面方程和二阶滑模面方程;Sliding surface construction unit, used to establish sliding surface equations and second-order sliding surface equations;
运算单元,用于计算滑模面控制率规则和滑模切换区间。The operation unit is used to calculate the sliding mode surface control rate rule and the sliding mode switching interval.
电压偏差计算单元计算反馈电压值V*的过程为:The process of calculating the feedback voltage value V* by the voltage deviation calculation unit is as follows:
(1)根据频域分析,计算电感L两端电压为,(1) According to the frequency domain analysis, the voltage across the inductor L is calculated as,
uL=(sLL+DCR)iL,u L =(sLL+DCR)i L ,
其中,s=jω是复参变量,称为复频率,电感L由理想电感LL及等效电阻DCR组成,流过电感的电流为iL;Among them, s=jω is a complex parameter, called complex frequency, the inductance L is composed of an ideal inductance LL and an equivalent resistance DCR, and the current flowing through the inductance is i L ;
(2)计算电容C1两端的电压为,(2) Calculate the voltage across capacitor C1 as,
(3)令电路参数则变量uC1与iL成正比,(3) Let the circuit parameters Then the variable u C1 is proportional to i L ,
uC1=DCR*iL;u C1 =DCR*i L ;
(4)计算C1两端的交流分量电压为,(4) Calculate the AC component voltage across C 1 as,
(5)计算电感电流交流信息的反馈电压值V*为,(5) Calculate the feedback voltage value V* of the AC information of the inductor current as,
其中,m和n为正的常实数。in, m and n are positive constant real numbers.
系统运行在滑模面上的条件为:The conditions for the system to operate on the sliding surface are:
以上所述只是本发明的优选实施方式,对于本技术领域的普通技术人员来说,在不脱离本发明原理的前提下,还可以做出若干改进和润饰,这些改进和润饰也被视为本发明的保护范围。The above are only the preferred embodiments of the present invention. For those skilled in the art, without departing from the principles of the present invention, several improvements and modifications can be made, and these improvements and modifications are also regarded as the present invention. the scope of protection of the invention.
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Citations (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN103378724A (en) * | 2013-07-25 | 2013-10-30 | 重庆大学 | DC-DC buck converter high-order sliding mode control method |
CN104779794A (en) * | 2015-04-27 | 2015-07-15 | 哈尔滨工业大学 | Nonsingular Terminal Sliding Mode Control Method for Buck Converter with Constant Switching Frequency |
CN105576972A (en) * | 2016-01-26 | 2016-05-11 | 江苏大学 | Chattering-free sliding mode control method for buck converter |
CN110098733A (en) * | 2019-05-30 | 2019-08-06 | 重庆大学 | A method of eliminating ESL influences in DC-DC buck Second Order Sliding Mode Control |
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Patent Citations (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN103378724A (en) * | 2013-07-25 | 2013-10-30 | 重庆大学 | DC-DC buck converter high-order sliding mode control method |
CN104779794A (en) * | 2015-04-27 | 2015-07-15 | 哈尔滨工业大学 | Nonsingular Terminal Sliding Mode Control Method for Buck Converter with Constant Switching Frequency |
CN105576972A (en) * | 2016-01-26 | 2016-05-11 | 江苏大学 | Chattering-free sliding mode control method for buck converter |
CN110098733A (en) * | 2019-05-30 | 2019-08-06 | 重庆大学 | A method of eliminating ESL influences in DC-DC buck Second Order Sliding Mode Control |
Non-Patent Citations (3)
Title |
---|
Buck型DC-DC变换器的滑模控制研究;孙文静;《中国优秀硕士学位论文全文数据库 工程科技II辑》;20151015;第21-26页第3.2节,第42-43页第5.1节 * |
Disturbance Observer Based Second Order Sliding Mode Control for DC-DC Buck Converters;Yunfei Yin等;《IECON 2017》;20171218;全文 * |
Unified Digital Sliding Mode Control with Inductor Current Ripple Reconstruction for DC-DC Converters;Andreas Berger等;《2015 IEEE International Symposium on Circuits and Systems》;20150730;全文 * |
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