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CN104601159A - AC analog integrator capable of continuously working - Google Patents

AC analog integrator capable of continuously working Download PDF

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Publication number
CN104601159A
CN104601159A CN201410803801.1A CN201410803801A CN104601159A CN 104601159 A CN104601159 A CN 104601159A CN 201410803801 A CN201410803801 A CN 201410803801A CN 104601159 A CN104601159 A CN 104601159A
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integrator
circuit module
resistor
operational amplifier
module
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刘冬梅
赵卫忠
万宝年
王林森
蒋力
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Hefei University of Technology
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Hefei University of Technology
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Abstract

本发明公开了一种可持续工作的交流模拟积分器,包括积分电路模块、反相放大器模块和隔直电路模块;积分电路模块由交流积分器A、交流积分器B与减法器组成,交流积分器A对输入信号积分,交流积分器B对地积分,由减法器将两路交流积分器的输出相减来实现实时误差补偿;反相放大器模块由电阻与运算放大器组成,实现信号放大功能;隔直电路模块由隔直电路与电压跟随器组成,由电阻、电容构成隔直电路,然后通过运算放大器组成的电压跟随器输出积分结果。本发明可以消除积分误差,实现对输入信号的长时间稳定积分功能,并通过隔直电路模块实现隔直输出。

The invention discloses a continuously working AC analog integrator, which comprises an integrating circuit module, an inverting amplifier module and a DC blocking circuit module; the integrating circuit module is composed of an AC integrator A, an AC integrator B and a subtractor; Integrator A integrates the input signal, AC integrator B integrates the ground, and the subtractor subtracts the outputs of the two AC integrators to realize real-time error compensation; the inverting amplifier module is composed of resistors and operational amplifiers to realize the signal amplification function; The DC blocking circuit module is composed of a DC blocking circuit and a voltage follower. The DC blocking circuit is composed of a resistor and a capacitor, and then the integration result is output through the voltage follower composed of an operational amplifier. The invention can eliminate the integration error, realize the long-time stable integration function of the input signal, and realize the DC blocking output through the DC blocking circuit module.

Description

一种可持续工作的交流模拟积分器A Continuously Working AC Analog Integrator

技术领域technical field

本发明属于电磁测量技术领域,涉及一种可持续工作的交流模拟积分器,具体地说是对交流信号实现积分功能及实时补偿积分误差,并且具有良好的隔直特性。The invention belongs to the technical field of electromagnetic measurement, and relates to an AC analog integrator that can work continuously. Specifically, it realizes the integration function for the AC signal and compensates the integration error in real time, and has good DC blocking characteristics.

背景技术Background technique

极向场电源系统是托卡马克装置的核心子系统之一,由12套晶闸管相控变流器向12组相互耦合的极向场超导线圈供电,实现各种不同要求的等离子体位形及各种不同运行模式下的等离子体的产生、加热、平衡与控制。极向场电源中的核心设备变流器是三相桥式全控整流器,极向场电源工作时,磁体电流可达上百千安;为了不对变流器电路产生影响,在对变流器进行直流短路测试、直流稳态测试与整流器短路测试中,利用电磁感应理论,可采用图1所示测量变流器的电流。The poloidal field power supply system is one of the core subsystems of the tokamak device. 12 sets of thyristor phase-controlled converters supply power to 12 sets of mutually coupled poloidal field superconducting coils to realize various plasma configurations and Plasma generation, heating, equilibration and control in various operating modes. The core equipment converter in the poloidal field power supply is a three-phase bridge fully-controlled rectifier. When the poloidal field power supply is working, the magnet current can reach hundreds of thousand amperes; In the DC short-circuit test, DC steady-state test and rectifier short-circuit test, using the electromagnetic induction theory, the current of the converter can be measured as shown in Figure 1.

在变流器电流测量中,可选择的电流传感器种类很多,电流传感器的输出vi(t)为被测电流i(t)的微分信号,需要积分器实现信号还原。以环形罗柯线圈为例,分析变流器电流测量原理;如图2所示,被测电流i(t)从线圈中心穿过,设线圈的平均半径为r,则线圈的周长l=2πr,线圈的截面积为S,线圈的匝数为N,当被测电流发生变化时,线圈输出端所产生的感应电势为:In the current measurement of the converter, there are many kinds of current sensors that can be selected. The output v i (t) of the current sensor is the differential signal of the measured current i(t), and an integrator is needed to restore the signal. Taking the ring-shaped Rocco coil as an example, the current measurement principle of the converter is analyzed; as shown in Figure 2, the measured current i(t) passes through the center of the coil, and the average radius of the coil is r, and the circumference of the coil is l= 2πr, the cross-sectional area of the coil is S, and the number of turns of the coil is N. When the measured current changes, the induced potential generated at the output end of the coil is:

vv ii (( tt )) == -- μμ 00 NSNS ll didi (( tt )) dtdt == -- Mm didi (( tt )) dtdt -- -- -- (( 11 ))

式1中μ0为真空磁导率,称为罗柯线圈的互感系数,其传递函数为:G1(s)=Ms。In formula 1, μ 0 is the vacuum permeability, It is called the mutual inductance coefficient of Rocco coil, and its transfer function is: G 1 (s)=Ms.

为了测量电流i(t),需要对罗柯线圈的输出信号vi(t)积分,基本模拟积分器如图3所示,理想情况下的输出为:In order to measure the current i(t), it is necessary to integrate the output signal v i (t) of the Rocco coil. The basic analog integrator is shown in Figure 3. The ideal output is:

vv 00 (( tt )) == -- 11 RR 11 CC ∫∫ tt 00 tt vv ii (( tt )) dtdt ++ vv 00 (( tt 00 )) -- -- -- (( 22 ))

式2中t0为基本模拟积分器开始工作的初始时刻,v0(t0)为初始值,其传递函数为:基本模拟积分器存在一个极点s=0,对直流成分的理论增益为无穷大,如果基本模拟积分器的输入信号中含有直流分量,基本模拟积分器的输出会发生偏移,甚至出现饱和现象,不能保证基本模拟积分器长时间稳定工作。In formula 2, t 0 is the initial moment when the basic analog integrator starts to work, v 0 (t 0 ) is the initial value, and its transfer function is: There is a pole s=0 in the basic analog integrator, and the theoretical gain of the DC component is infinite. If the input signal of the basic analog integrator contains a DC component, the output of the basic analog integrator will be shifted or even saturated. Ensure that the basic analog integrator works stably for a long time.

由于受到模拟器件制造工艺的限制,运算放大器必然存在输入失调电压VOS、输入失调电流IOS和输入偏置电流IB,导致基本模拟积分器产生输入误差,此外运放的非线性和积分电容器的介质损耗与泄漏电阻的存在,导致基本模拟积分器产生非线性误差;图3所示基本模拟积分器的实际输出为:Due to the limitation of the manufacturing process of analog devices, the operational amplifier must have input offset voltage V OS , input offset current I OS and input bias current I B , which lead to input errors in the basic analog integrator. In addition, the nonlinearity of the operational amplifier and the integration capacitor The existence of the dielectric loss and leakage resistance of the basic analog integrator results in non-linear errors; the actual output of the basic analog integrator shown in Figure 3 is:

vv 00 (( tt )) == -- 11 RR 11 CC ∫∫ tt 00 tt [[ vv ii (( tt )) ++ RR 11 II OSOS -- VV OSOS ]] dtdt ++ vv 00 (( tt 00 )) ++ δδ == -- 11 RR 11 CC ∫∫ tt 00 tt vv ii (( tt )) dtdt ++ vv 00 (( tt 00 )) ++ VV OSOS -- RR 11 II OSOS RR 11 CC (( tt -- tt 00 )) ++ δδ -- -- -- (( 33 ))

由式3知,基本模拟积分器的积分误差为:From Equation 3, the integral error of the basic analog integrator is:

ythe y (( tt )) == VV OSOS -- RR 11 II OSOS RR 11 CC (( tt -- tt 00 )) ++ δδ -- -- -- (( 44 ))

发明内容Contents of the invention

针对基本模拟积分器存在的积分误差和稳定性问题,本发明提出了一种可持续工作的交流模拟积分器;其积分电路模块采用交流积分器对罗柯线圈的输出信号vi(t)积分,不仅可以长时间稳定工作,并且能够实时消除积分误差,通过反相放大器模块将有效信号放大,通过隔直电路模块实现隔离直流信号。Aiming at the integral error and stability problems existing in the basic analog integrator, the present invention proposes a sustainable working AC analog integrator; its integral circuit module adopts the AC integrator to integrate the output signal v i (t) of the Roco coil , not only can work stably for a long time, but also can eliminate the integration error in real time, amplify the effective signal through the inverting amplifier module, and isolate the DC signal through the DC blocking circuit module.

本发明采用的技术方案是:The technical scheme adopted in the present invention is:

一种可持续工作的交流模拟积分器,其特征在于:包括有积分电路模块、反相放大器模块和隔直电路模块;积分电路模块由两路交流积分器A、B与减法器组成,交流积分器A对输入信号积分,交流积分器B对地积分,由减法器将两路交流积分器的输出相减来实现积分误差补偿;反相放大器模块将补偿后的积分进行信号放大,通过隔直电路模块将有效信号输出。A sustainable working AC analog integrator is characterized in that it includes an integrating circuit module, an inverting amplifier module and a DC blocking circuit module; the integrating circuit module is composed of two AC integrators A, B and a subtractor, and the AC integrating Integrator A integrates the input signal, AC integrator B integrates the ground, and the subtractor subtracts the outputs of the two AC integrators to realize integral error compensation; the inverting amplifier module amplifies the compensated integral signal, and through DC blocking The circuit module outputs valid signals.

所述的一种可持续工作的交流模拟积分器,其特征在于:所述的积分电路模块中的交流积分器A由反馈电阻Rf、积分电容C、两个电阻R1以及运算放大器组成;交流积分器B由反馈电阻Rf、积分电容C、电阻R1、电阻R2、电位器R3及运算放大器组成,并满足R1=2R2;两路交流积分器A、B中相同标号的元件的参数、型号完全一致,其中Rf的阻值一般选择在MΩ级,选择一片集成双运放来作为组成A、B两路交流积分器的运算放大器;减法器由四个电阻R4和运算放大器组成,其中一个电阻R4作为反馈电阻用;交流积分器A对输入信号积分,交流积分器B对地积分,调节电位器R3可以改变交流积分器B的输出,通过减法器将两路交流积分器的输出相减,以消除积分误差。The described ac analog integrator for continuous operation is characterized in that: the ac integrator A in the integrating circuit module is composed of a feedback resistor Rf , an integrating capacitor C, two resistors R1 and an operational amplifier; AC integrator B is composed of feedback resistor R f , integrating capacitor C, resistor R 1 , resistor R 2 , potentiometer R 3 and operational amplifier, and satisfies R 1 = 2R 2 ; the same labels in the two AC integrators A and B The parameters and models of the components are exactly the same, and the resistance value of R f is generally selected at the MΩ level, and an integrated dual operational amplifier is selected as the operational amplifier for the two-way AC integrator of A and B; the subtractor is composed of four resistors R 4 Composed of an operational amplifier, one of the resistors R4 is used as a feedback resistor; the AC integrator A integrates the input signal, and the AC integrator B integrates the ground. Adjusting the potentiometer R3 can change the output of the AC integrator B. The outputs of the two AC integrators are subtracted to eliminate integration errors.

所述的一种可持续工作的交流模拟积分器,其特征在于:所述的反相放大器模块由电阻R5、R6、R7与运算放大器构成,电阻R6作为反馈电阻用。The above-mentioned AC analog integrator that can work continuously is characterized in that: the inverting amplifier module is composed of resistors R 5 , R 6 , R 7 and an operational amplifier, and resistor R 6 is used as a feedback resistor.

所述的一种可持续工作的交流模拟积分器,其特征在于:所述的隔直电路模块由电阻R8、电容C1及运算放大器组成;由电阻R8、电容C1构成隔直电路,隔离直流信号,然后通过运算放大器组成的电压跟随器输出有效信号。The described AC analog integrator that can work continuously is characterized in that: the DC blocking circuit module is composed of a resistor R 8 , a capacitor C 1 and an operational amplifier; the DC blocking circuit is composed of a resistor R 8 and a capacitor C 1 , isolate the DC signal, and then output an effective signal through a voltage follower composed of an operational amplifier.

本发明的优点在于:The advantages of the present invention are:

本发明可以消除积分误差,实现对输入信号的长时间稳定积分功能,并通过隔直电路模块实现隔直输出。The invention can eliminate the integration error, realize the long-time stable integration function of the input signal, and realize the DC blocking output through the DC blocking circuit module.

附图说明Description of drawings

图1为变流器电流测量的示意图。Figure 1 is a schematic diagram of the current measurement of the converter.

图2为环形罗柯线圈的示意图。FIG. 2 is a schematic diagram of a toroidal Roco coil.

图3为基本模拟积分器的示意图。Figure 3 is a schematic diagram of a basic analog integrator.

图4为本发明的结构图。Fig. 4 is a structural diagram of the present invention.

图5为本发明的交流积分器的示意图。FIG. 5 is a schematic diagram of the AC integrator of the present invention.

图6为交流积分器的幅频特性曲线。Figure 6 is the amplitude-frequency characteristic curve of the AC integrator.

图7为本发明的积分电路模块的示意图。FIG. 7 is a schematic diagram of an integrating circuit module of the present invention.

图8为本发明的反相放大器模块的示意图。FIG. 8 is a schematic diagram of an inverting amplifier module of the present invention.

图9为本发明的隔直电路模块的示意图。FIG. 9 is a schematic diagram of a DC blocking circuit module of the present invention.

具体实施方式Detailed ways

本发明的结构如图4所示,一种可持续工作的交流模拟积分器,由积分电路模块、反相放大器模块和隔直电路模块组成。The structure of the present invention is shown in Fig. 4, a continuously working AC analog integrator, which is composed of an integrating circuit module, an inverting amplifier module and a DC blocking circuit module.

为了解决基本模拟积分器存在的稳定性问题,本发明设计了交流积分器,如图5所示,在积分电容C两端并联一个反馈电阻Rf,其传递函数为:In order to solve the stability problem existing in the basic analog integrator, the present invention designs an AC integrator, as shown in Figure 5, a feedback resistor R f is connected in parallel at both ends of the integrating capacitor C, and its transfer function is:

G 1 ( s ) = - 1 R 1 C ( s + 1 R f C ) , 交流积分器的极点为:该积分器可以长时间处于积分工作状态。交流积分器的幅频特性曲线如图6所示,当输入信号vi(t)的频率f高于时,交流积分器实现积分功能;当输入信号vi(t)的频率f低于fc时,交流积分器像是一个反相放大器,其增益为选择适当的积分电容C与反馈电阻Rf使fc的值满足被测电流i(t)的要求。以fc为分界点,将输人信号vi(t)分为低频分量Vi与高频分量v(t)之和,则交流积分器的输出为: G 1 ( the s ) = - 1 R 1 C ( the s + 1 R f C ) , The poles of the AC integrator are: The integrator can be in the integral working state for a long time. The amplitude-frequency characteristic curve of the AC integrator is shown in Figure 6, when the frequency f of the input signal v i (t) is higher than When , the AC integrator realizes the integration function; when the frequency f of the input signal v i (t) is lower than f c , the AC integrator is like an inverting amplifier with a gain of Select the appropriate integral capacitor C and feedback resistor R f to make the value of f c meet the requirements of the measured current i (t). Taking f c as the dividing point, divide the input signal v i (t) into the sum of low frequency component V i and high frequency component v (t), then the output of the AC integrator is:

vv 0101 == -- 11 RR 11 CC ∫∫ tt 00 tt vv iωiω (( tt )) dtdt ++ vv 00 (( tt 00 )) ++ (( -- RR ff RR 11 VV ii )) ++ VV OSOS -- RR 11 II OSOS RR 11 CC (( tt -- tt 00 )) ++ δδ -- -- -- (( 55 ))

由式5知,交流积分器的输出亦存在积分误差。为了消除积分误差,本发明的积分电路模块由两个交流积分器A、B和一个减法器组成,其结构如图7所示,交流积分器A由反馈电阻Rf、积分电容C、两个电阻R1以及运算放大器组成,交流积分器B由反馈电阻Rf、积分电容C、电阻R1、电阻R2、电位器R3及运算放大器组成,并满足R1=2R2;两路交流积分器A、B中相同标号的元件的参数、型号完全一致,其中Rf的阻值选择在MΩ级,选择一片集成双运放来作为组成A、B两路交流积分器的运算放大器。交流积分器A对输入信号积分,交流积分器B对地积分,调节电位器R3可以改变交流积分器B的输出,通过减法器将两路交流积分器的输出相减,以消除积分误差,积分电路模块的输出为:It is known from Equation 5 that the output of the AC integrator also has integral errors. In order to eliminate integration errors, the integration circuit module of the present invention is composed of two AC integrators A, B and a subtractor, and its structure is shown in Figure 7. Composed of resistor R 1 and operational amplifier, AC integrator B is composed of feedback resistor R f , integrating capacitor C, resistor R 1 , resistor R 2 , potentiometer R 3 and operational amplifier, and satisfies R 1 = 2R 2 ; two AC The parameters and models of the components with the same label in the integrator A and B are exactly the same, and the resistance value of R f is selected at the MΩ level, and an integrated dual operational amplifier is selected as the operational amplifier for the two-way AC integrator of A and B. The AC integrator A integrates the input signal, and the AC integrator B integrates the ground. Adjusting the potentiometer R3 can change the output of the AC integrator B. The output of the two AC integrators is subtracted by the subtractor to eliminate the integration error. The output of the integrating circuit block is:

vv 0202 (( tt )) == 11 RR 11 CC ∫∫ tt 00 tt vv iωiω (( tt )) dtdt ++ RR ff RR 11 VV ii -- -- -- (( 66 ))

所述的反相放大器模块如图8所示,由电阻R5、R6、R7及运算放大器组成,其输出为:Described inverting amplifier module is shown in Figure 8, is made up of resistor R5 , R6 , R7 and operational amplifier, and its output is:

vv 0303 (( tt )) == -- RR 66 RR 55 vv 0202 -- -- -- (( 77 ))

所述的隔直电路模块如图9所示,由电阻R8、电容C1、运算放大器组成,电阻R8、电容C1构成隔直电路,隔离直流信号,然后通过运算放大器组成的电压跟随器输出有效信号,其输出为: v 0 ( t ) = - R 6 R 5 1 R 1 C ∫ t 0 t v iω ( t ) dt . The DC blocking circuit module is shown in Figure 9, and is composed of a resistor R8 , a capacitor C1 , and an operational amplifier. The resistor R8 and capacitor C1 form a DC blocking circuit to isolate DC signals, and then follow the voltage formed by the operational amplifier. The device outputs a valid signal, and its output is: v 0 ( t ) = - R 6 R 5 1 R 1 C ∫ t 0 t v iω ( t ) dt .

Claims (4)

1.一种可持续工作的交流模拟积分器,其特征在于:包括有积分电路模块、反相放大器模块和隔直电路模块;积分电路模块由两路交流积分器A、B与减法器组成,交流积分器A对输入信号积分,交流积分器B对地积分,由减法器将两路交流积分器的输出相减来实现积分误差补偿;反相放大器模块将补偿后的积分进行信号放大,通过隔直电路模块将有效信号输出。1. a kind of AC analog integrator of continuous work is characterized in that: comprise integration circuit module, inverting amplifier module and DC blocking circuit module; Integration circuit module is made up of two-way AC integrator A, B and subtractor, The AC integrator A integrates the input signal, and the AC integrator B integrates the ground, and the subtractor subtracts the outputs of the two AC integrators to realize integral error compensation; the inverting amplifier module amplifies the compensated integral signal, through The DC blocking circuit module outputs valid signals. 2.根据权利要求1所述的一种可持续工作的交流模拟积分器,其特征在于:所述的积分电路模块中的交流积分器A由反馈电阻Rf、积分电容C、两个电阻R1以及运算放大器组成;交流积分器B由反馈电阻Rf、积分电容C、电阻R1、电阻R2、电位器R3及运算放大器组成,并满足R1=2R2;两路交流积分器A、B中相同标号的元件的参数、型号完全一致,其中Rf的阻值一般选择在MΩ级,选择一片集成双运放来作为组成A、B两路交流积分器的运算放大器;减法器由四个电阻R4和运算放大器组成,其中一个电阻R4作为反馈电阻用;交流积分器A对输入信号积分,交流积分器B对地积分,调节电位器R3可以改变交流积分器B的输出,通过减法器将两路交流积分器的输出相减,以消除积分误差。2. A continuously working AC analog integrator according to claim 1, characterized in that: the AC integrator A in the integrating circuit module is composed of a feedback resistor Rf , an integrating capacitor C, two resistors R 1 and operational amplifier; AC integrator B is composed of feedback resistor R f , integrating capacitor C, resistor R 1 , resistor R 2 , potentiometer R 3 and operational amplifier, and satisfies R 1 = 2R 2 ; two-way AC integrator The parameters and models of the components with the same label in A and B are exactly the same, and the resistance value of R f is generally selected at the MΩ level, and an integrated dual op-amp is selected as the operational amplifier that forms the two-way AC integrator of A and B; the subtractor It is composed of four resistors R 4 and an operational amplifier, one of which is used as a feedback resistor; the AC integrator A integrates the input signal, and the AC integrator B integrates the ground. Adjusting the potentiometer R 3 can change the value of the AC integrator B. The output of the two-way AC integrator is subtracted by the subtractor to eliminate the integral error. 3.根据权利要求1所述的一种可持续工作的交流模拟积分器,其特征在于:所述的反相放大器模块由电阻R5、R6、R7与运算放大器构成,电阻R6作为反馈电阻用。3. A kind of sustainable working AC analog integrator according to claim 1, characterized in that: the inverting amplifier module is composed of resistors R 5 , R 6 , R 7 and an operational amplifier, and resistor R 6 is used as For feedback resistors. 4.根据权利要求1所述的一种可持续工作的交流模拟积分器,其特征在于:所述的隔直电路模块由电阻R8、电容C1及运算放大器组成;由电阻R8、电容C1构成隔直电路,隔离直流信号,然后通过运算放大器组成的电压跟随器输出有效信号。4. A kind of sustainable working AC analog integrator according to claim 1, characterized in that: said DC blocking circuit module is made up of resistor R 8 , capacitor C 1 and an operational amplifier; by resistor R 8 , capacitor C 1 forms a DC blocking circuit to isolate the DC signal, and then outputs an effective signal through a voltage follower composed of an operational amplifier.
CN201410803801.1A 2014-12-18 2014-12-18 AC analog integrator capable of continuously working Pending CN104601159A (en)

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