CN103595051A - Harmonic current tracking control method for active power filter - Google Patents

Harmonic current tracking control method for active power filter Download PDF

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CN103595051A
CN103595051A CN201310608811.5A CN201310608811A CN103595051A CN 103595051 A CN103595051 A CN 103595051A CN 201310608811 A CN201310608811 A CN 201310608811A CN 103595051 A CN103595051 A CN 103595051A
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谭光慧
谭敏刚
伍军胜
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Southeast University
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Abstract

The invention provides a harmonic current tracking control method for an active power filter. The cose idea is that harmonic currents are tracked and controlled in several times. The method mainly comprises the steps that load currents are tracked and detected, the amplitude and the phase of the harmonic currents which need to be restrained and are in assigned numbers are calculated according to actual needs, a calculated value and a reference value are subjected to subtraction, the difference value is compared with modulated waves after passing through a PI regulator, a drive circuit is driven to generate PWM control signals to drive a main circuit to generate harmonic voltages in assigned times, and the purpose of restraining harmonic waves is achieved. The method can effectively restrain the harmonic currents in assigned times, and properly compensate reactive power according to requirements.

Description

一种用于有源电力滤波器的谐波电流跟踪控制方法A Harmonic Current Tracking Control Method for Active Power Filter

技术领域technical field

本发明涉及谐波电流的跟踪控制,尤其涉及一种有源电力滤波器谐波电流跟踪控制方法。The invention relates to tracking control of harmonic currents, in particular to a tracking control method for harmonic currents of active power filters.

背景技术Background technique

随着电力电子技术的迅猛发展,各种非线性负载给电网带来了大量的谐波污染。为了有效改善电能质量,传统的无源电力滤波器的弊端越发凸显,新型的有源电力滤波器(APF)技术应运而生。在APF技术中对于谐波电流的跟踪控制是一个关键,也是一个难点。With the rapid development of power electronics technology, various nonlinear loads have brought a lot of harmonic pollution to the power grid. In order to effectively improve power quality, the disadvantages of traditional passive power filters are becoming more and more prominent, and a new type of active power filter (APF) technology has emerged as the times require. In APF technology, the tracking control of harmonic current is a key point and also a difficult point.

目前主流的控制方法有三角波比较和滞环控制等方法。三角波比较PWM电流控制方法的最大优点是开关工作在固定频率,但系统响应受电流反馈稳定性的限制,且容易受负载参数的影响。滞环控制PWM方法的优点是无稳定性问题、简单易于实现且响应速度快,但其精度受环宽的影响,高精度会造成开关频率过高,且环宽固定造成开关频率变化较大。这些缺点都限制了两种方法在某些场合的应用。The current mainstream control methods include triangular wave comparison and hysteresis control. The biggest advantage of the triangular wave compared to the PWM current control method is that the switch works at a fixed frequency, but the system response is limited by the stability of the current feedback and is easily affected by the load parameters. The advantage of the hysteresis control PWM method is that it has no stability problem, is simple and easy to implement, and has a fast response speed. However, its accuracy is affected by the ring width. High precision will cause the switching frequency to be too high, and the fixed ring width will cause a large change in the switching frequency. These shortcomings limit the application of the two methods in some occasions.

对系统谐波做FFT分析,一般情况下5次、7次、11次及13次谐波是谐波电流的主要成分。对主要次数谐波进行抑制、抵消后的电网波形已接近正弦,对于一般设备的工作已无影响。Perform FFT analysis on the system harmonics. Generally, the 5th, 7th, 11th and 13th harmonics are the main components of the harmonic current. After suppressing and offsetting the major harmonics, the grid waveform is close to sinusoidal, and has no effect on the work of general equipment.

发明内容Contents of the invention

针对现有技术的不足,并结合理论分析的可行性,本发明提出一种对谐波电流分次跟踪控制的方法,对电网中主要次数谐波进行跟踪控制。Aiming at the deficiencies of the prior art, and combining the feasibility of theoretical analysis, the present invention proposes a method for tracking and controlling harmonic currents in stages, to track and control the main order harmonics in the power grid.

一种对谐波电流分次跟踪控制的方法,包括谐波电流检测计算模块、PWM控制模块、主电路功率模块和驱动电路。本发明是在知晓指定次数谐波电流(幅值Aihm、相位θihm)的前提下,对指定次谐波电流进行抑制、抵消,即本发明着重于考虑对谐波电流的分次跟踪控制方法。且通过控制,调节输出补偿电压的大小可实现谐波抑制。A method for step-by-step tracking control of harmonic currents, comprising a harmonic current detection calculation module, a PWM control module, a main circuit power module and a drive circuit. The present invention suppresses and offsets the specified order harmonic current on the premise of knowing the specified order harmonic current (amplitude A ihm , phase θ ihm ), that is, the present invention focuses on considering the hierarchical tracking control of the harmonic current method. And through control, adjusting the size of the output compensation voltage can realize harmonic suppression.

谐波电流检测计算模块是本发明的核心,完成对指定次谐波电流幅值、相位的检测和计算,为PWM控制模块产生PWM控制波形提供依据。PWM控制模块是控制APF产生补偿谐波电流的关键。PWM控制模块、功率模块和驱动电路配合谐波电流检测计算模块完成谐波电流的跟踪补偿。The harmonic current detection and calculation module is the core of the present invention, which completes the detection and calculation of the specified harmonic current amplitude and phase, and provides a basis for the PWM control module to generate PWM control waveforms. PWM control module is the key to control APF to generate compensation harmonic current. The PWM control module, the power module and the drive circuit cooperate with the harmonic current detection and calculation module to complete the tracking compensation of the harmonic current.

本发明从谐波电流产生的根源谐波电压的角度分析,通过对指定次数谐波电流的幅值Aihm和相位θihm与参考值

Figure BDA0000421908420000021
比较产生PWM控制信号,控制逆变器产生相应的谐波电压。其中Aihm、θihm对应于APF已发出的指定次补偿谐波电流的实时参数,
Figure BDA0000421908420000022
对应系统中指定次待补偿谐波电流的实时参数。The present invention analyzes from the perspective of the root harmonic voltage generated by the harmonic current, and compares the amplitude A ihm and phase θ ihm of the specified order harmonic current with the reference value
Figure BDA0000421908420000021
Comparing and generating PWM control signal, controlling the inverter to generate corresponding harmonic voltage. Among them, A ihm and θ ihm correspond to the real-time parameters of the specified compensation harmonic current issued by APF,
Figure BDA0000421908420000022
Corresponding to the real-time parameters of the specified harmonic current to be compensated in the system.

谐波电流检测、计算模块,该模块负责对负载电流进行实时跟踪采样,并根据实际需要,计算出指定次数的谐波电流电气量,包括幅值和相位。Harmonic current detection and calculation module, which is responsible for real-time tracking and sampling of load current, and according to actual needs, calculates the electrical quantity of harmonic current of specified order, including amplitude and phase.

PWM控制模块,将得出的指定次数谐波电流的幅值Aihm、相位θihm分别与参考值

Figure BDA0000421908420000031
比较;其差值在经过PI调节器后与高频三角波进行比较,经控制电路产生PWM控制信号。再由产生的PWM控制信号驱动主电路输出电压幅值和相位合适的指定次数(m次)谐波电压,以抵消该次谐波。The PWM control module compares the amplitude A ihm and phase θ ihm of the specified order harmonic current with the reference value respectively
Figure BDA0000421908420000031
Comparison; the difference is compared with the high-frequency triangular wave after passing through the PI regulator, and the PWM control signal is generated by the control circuit. Then the generated PWM control signal is used to drive the main circuit to output voltage amplitude and phase of the specified order (m order) harmonic voltage with suitable order to offset the order harmonic.

有益效果:Beneficial effect:

这种方法可根据实际需要,对指定次数谐波进行抑制,具有一定的动态性能和控制精度,且PWM控制器开关频率较低。适用于各种电压型PWM脉宽调制变换器的跟踪控制。This method can suppress harmonics of specified order according to actual needs, has certain dynamic performance and control precision, and the switching frequency of PWM controller is low. It is suitable for tracking control of various voltage-type PWM pulse width modulation converters.

附图说明Description of drawings

图1是本发明实施例有源电力滤波器系统图;Fig. 1 is a system diagram of an active power filter according to an embodiment of the present invention;

图2是本发明实施例有源电力滤波器结构图;Fig. 2 is a structural diagram of an active power filter according to an embodiment of the present invention;

图3是本发明实施例分次电流跟踪控制原理图;Fig. 3 is a schematic diagram of fractional current tracking control according to an embodiment of the present invention;

图4是本发明实施例有源电力滤波器主电路图。Fig. 4 is a main circuit diagram of an active power filter according to an embodiment of the present invention.

其中,图1中,es为电网无穷大电源;L为系统内部阻抗;is、iL分别表示系统电流、负载电流;ZL为APF与电网并联时的连接阻抗;Vs和Vo分别表示连接阻抗电网端、APF端电压。 Among them, in Figure 1, e s is the infinite power supply of the power grid; L is the internal impedance of the system; i s and i L represent the system current and load current respectively; Indicates the connection impedance grid terminal, APF terminal voltage.

图3中,Aih5、Aih7…Aihm分别表示APF实时发出的补偿电流中5次、7次…m次电流幅值大小;

Figure BDA0000421908420000032
分别表示负载电流中所包含的5次、7次…m次谐波幅值参考值;θih5、θih7…θihm分别表示APF实时发出的补偿电流中5次、7次…m次电流相位;
Figure BDA0000421908420000033
分别表示负载电流中所包含的5次、7次…m次谐波电流相位参考值;Avh5、Avh7…Avhm分别表示5次、7次…m次谐波电压幅值;θvh5、θvh7…θvhm分别表示5次、7次…m次谐波电压相位;分别表示基波电压、5次、7次…m次谐波电压(均为相量)。In Fig. 3, A ih5 , A ih7 ... A ihm represent the current amplitudes of the 5th, 7th ... m times of the compensation current sent by the APF in real time;
Figure BDA0000421908420000032
Respectively represent the 5th, 7th...m harmonic amplitude reference value contained in the load current; θih5 , θih7 ... θihm respectively represent the 5th, 7th...m current phase of the compensation current issued by the APF in real time ;
Figure BDA0000421908420000033
Respectively represent the 5th, 7th...m harmonic current phase reference value contained in the load current; A vh5 , A vh7 ... A vhm respectively represent the 5th, 7th...m harmonic voltage amplitude; θ vh7 ... θ vhm represent the 5th, 7th ... m harmonic voltage phase respectively; Respectively represent the fundamental wave voltage, the 5th, 7th...m harmonic voltage (all are phasors).

图4中,US表示无穷大系统电源;ZS表示系统阻抗;Ed表示主电路直流侧电压;S1-s6表示晶体管,L为并联电抗。In Figure 4, U S represents the infinite system power supply; Z S represents the system impedance; E d represents the DC side voltage of the main circuit; S 1 -s 6 represents the transistor, and L represents the parallel reactance.

具体实施例specific embodiment

图1描述了APF系统结构示意图。Figure 1 depicts a schematic diagram of the APF system structure.

设电网电压为

Figure BDA0000421908420000042
(只含基波,即
Figure BDA0000421908420000043
),APF通过一个阻抗为ZL的电抗器与电网并联,设电抗器APF端电压为
Figure BDA0000421908420000044
V · o = V · o 1 + V · o 5 + V · o 7 + V · o 11 + V · o 13 )。Let the grid voltage be
Figure BDA0000421908420000042
(only the fundamental wave, ie
Figure BDA0000421908420000043
), the APF is connected in parallel with the power grid through a reactor with an impedance of ZL, and the terminal voltage of the reactor APF is set to
Figure BDA0000421908420000044
( V &Center Dot; o = V · o 1 + V · o 5 + V · o 7 + V &Center Dot; o 11 + V &Center Dot; o 13 ).

以5次谐波电流为例Take the 5th harmonic current as an example

ii hh 55 == (( VV 0101 ++ VV 0505 )) -- VV SS 11 ZZ LL == (( VV 0101 -- VV SS 11 )) ZZ LL ++ VV 0505 ZZ LL

当Vo1=Vs1时,When V o1 =V s1 ,

ii hh 55 == VV 0505 ZZ LL

此时,APF仅对系统提供指定次数谐波电压,起谐波抑制作用。At this time, the APF only provides the system with a specified number of harmonic voltage, which plays a role in harmonic suppression.

当Vo1≠Vs1

Figure BDA0000421908420000048
产生指定次数谐波电流,起抑制谐波作用。When V o1 ≠ V s1
Figure BDA0000421908420000048
Generate harmonic current of specified order, play a role in suppressing harmonics.

(( VV 0101 -- VV SS 11 )) ZZ LL ≠≠ 00

该部分不再为零,能向系统进行无功补偿,合理控制V01-VS1的正负、大小能有效对系统进行无功补偿。This part is no longer zero, and can perform reactive power compensation to the system. Reasonable control of the positive and negative values of V 01 -V S1 can effectively compensate the system for reactive power.

由上述分析,5次谐波电压Vo5是5次谐波电流ih5产生的原因。若要对5次谐波电流进行抑制,只需要产生一个相应的5次谐波电压即可。又5次谐波电压Vo5和5次谐波电流在数量关系上由一常数(电感阻抗)确定。From the above analysis, the 5th harmonic voltage V o5 is the cause of the 5th harmonic current i h5 . To suppress the 5th harmonic current, it is only necessary to generate a corresponding 5th harmonic voltage. And the 5th harmonic voltage V o5 and the 5th harmonic current are determined by a constant (inductance impedance) in terms of quantity.

上述电气量可用幅值和相位表征:The above electrical quantities can be characterized by magnitude and phase:

ih5=Aih5sin(5ωt+θih5),i h5 =A ih5 sin(5ωt+θ ih5 ),

式中In the formula

Aih5表示5次谐波电流幅值;A ih5 indicates the amplitude of the 5th harmonic current;

ω表示工频下基波角速度,即ω=2πf;ω represents the fundamental angular velocity at power frequency, that is, ω=2πf;

θih5表示5次谐波电流的相位。θ ih5 represents the phase of the 5th harmonic current.

因此,在知晓5次谐波电流幅值Aih5、相位θih5的情况下,可通过对5次谐波电流幅值Aih5、相位θih5控制,实现对5次谐波电压的控制并输出,从而实现消除指定次谐波的目的。Therefore, in the case of knowing the 5th harmonic current amplitude A ih5 and phase θ ih5 , the 5th harmonic voltage can be controlled and output by controlling the 5th harmonic current amplitude A ih5 and phase θ ih5 , so as to achieve the purpose of eliminating the specified sub-harmonic.

图2描述了APF具体组成部分。它包括谐波电流检测模块、指定次数谐波电流计算模块、指定次数谐波电流跟踪控制模块和主电路四个部分。其中,谐波电流检测模块负责对谐波电流进行实时跟踪检测;指定次数谐波计算模块根据用户需求,计算出总谐波电流中指定次数的谐波电流的幅值和相位;谐波电流跟踪控制模块,采用三角波比较PWM跟踪控制技术,分别以谐波电流幅值、相位为控制对象产生PWM调制波;主电路结构为三相桥式逆变器,直流侧采用稳定的直流电源,在控制信号下,主电路能产生理想的指定次谐波电压,从而达到抑制谐波的目的。Figure 2 describes the specific components of APF. It includes four parts: a harmonic current detection module, a specified order harmonic current calculation module, a specified order harmonic current tracking control module and a main circuit. Among them, the harmonic current detection module is responsible for real-time tracking and detection of harmonic current; the specified order harmonic calculation module calculates the amplitude and phase of the specified order harmonic current in the total harmonic current according to user needs; harmonic current tracking The control module adopts the triangular wave comparison PWM tracking control technology to generate PWM modulation waves with the harmonic current amplitude and phase as the control objects; the main circuit structure is a three-phase bridge inverter, and the DC side uses a stable DC power supply. Under the signal, the main circuit can generate the ideal specified sub-harmonic voltage, so as to achieve the purpose of suppressing the harmonics.

图3描述了本发明的核心部分:有源电力滤波器电流分次跟踪控制方法的原理。分别以各次谐波电流的幅值和相位为控制对象,通过将各次谐波电流幅值、相位与参考值比较,经PI调节器后输出各次谐波电压的幅值、相位。将各次谐波电压的幅值和相位合成为不同频率、不同幅值的正弦波后再与基波电压叠加,得到需要的调制波。再将该波与三角波比较,通过控制电路产生PWM信号驱动主电路产生电压Fig. 3 has described the core part of the present invention: the principle of the step-by-step tracking control method of the active power filter current. Taking the amplitude and phase of each harmonic current as the control object, by comparing the amplitude and phase of each harmonic current with the reference value, the amplitude and phase of each harmonic voltage are output after the PI regulator. The amplitude and phase of each harmonic voltage are synthesized into sine waves of different frequencies and amplitudes, and then superimposed on the fundamental voltage to obtain the required modulation wave. Then compare the wave with the triangular wave, and generate a PWM signal through the control circuit to drive the main circuit to generate a voltage .

本发明中解决问题所用的各项技术主要包含以下几个方面:The various techniques used to solve the problem in the present invention mainly include the following aspects:

1.谐波电流的检测、计算1. Detection and calculation of harmonic current

提取基波电流以及各次谐波电流幅值、相位是本发明的前提。大量谐波在基波上叠加后波形仍呈周期性变化,据现有理论和技术提取各次谐波电流的幅值和相位易于实现,例如,可通过使用DSP对负载电流采样,进行FFT分析解决该问题。Extracting the fundamental wave current and the amplitude and phase of each harmonic current is the premise of the present invention. After a large number of harmonics are superimposed on the fundamental wave, the waveform still changes periodically. According to the existing theory and technology, it is easy to extract the amplitude and phase of each harmonic current. For example, DSP can be used to sample the load current and perform FFT analysis. fix the problem.

2.指定次数谐波电压的产生2. Generation of specified order harmonic voltage

谐波电流来自于谐波电压,谐波电压与谐波电流之间存在特定的数量关系。通过对谐波电流的控制,包括幅值和相位的控制,可实现对谐波电压的输出控制。Harmonic current comes from harmonic voltage, and there is a specific quantitative relationship between harmonic voltage and harmonic current. Through the control of the harmonic current, including the control of the amplitude and phase, the output control of the harmonic voltage can be realized.

谐波电流电压可分别用幅值、相位表征:Harmonic current and voltage can be characterized by amplitude and phase respectively:

ihm=Aihmsin(mωt+θihm);i hm =A ihm sin(mωt+θ ihm );

vhm=Avhmsin(mωt+θvhm)。v hm =A vhm sin(mωt+θ vhm ).

式中In the formula

ihm表示m次谐波电流;i hm represents the mth harmonic current;

Aihm表示m次谐波电流幅值;A ihm represents the amplitude of the mth harmonic current;

ω表示基波电流频率;ω represents the fundamental current frequency;

θihm表示m次谐波电流相位;θ ihm represents the phase of the m-th harmonic current;

vhm表示m次谐波电压;v hm represents the mth harmonic voltage;

Avhm表示m次谐波电压幅值;A vhm represents the amplitude of the mth harmonic voltage;

θvhm表示m次谐波电压相位。θ vhm represents the mth harmonic voltage phase.

图3所示,用三角波比较PWM跟踪控制方法实现对谐波电流幅值、相位的控制,其实质是通过比较指定次谐波电流的幅值、相位与参考量的差异,产生PWM信号控制主电路开关通断,实现谐波电压的输出。As shown in Figure 3, the PWM tracking control method using triangular waves is used to control the amplitude and phase of harmonic currents. Its essence is to generate PWM signals to control the main The circuit switch is turned on and off to realize the output of harmonic voltage.

尽管已经示出和描述了本发明的实施例,本领域的普通技术人员可以理解:在不脱离本发明的原理和宗旨的情况下可以对这些实施例进行多种变化、修改、替换和变型,本发明的范围由权利要求及其等同物限定。Although the embodiments of the present invention have been shown and described, those skilled in the art can understand that various changes, modifications, substitutions and modifications can be made to these embodiments without departing from the principle and spirit of the present invention. The scope of the invention is defined by the claims and their equivalents.

Claims (4)

1.一种有源电力滤波器谐波电流跟踪控制方法,其主要步骤包括:1. An active power filter harmonic current tracking control method, the main steps of which include: 对电力系统负载电流采样,根据需求计算相应指定次数谐波电流的幅值Aihm和相位θihm,提取电力系统中基波电压
Figure FDA0000421908410000011
Sampling the load current of the power system, calculating the amplitude A ihm and phase θ ihm of the corresponding specified order harmonic current according to the demand, and extracting the fundamental voltage in the power system
Figure FDA0000421908410000011
根据相应控制策略,获得指定次数谐波电压的幅值Vvhm和相位θvhmAccording to the corresponding control strategy, the amplitude V vhm and phase θ vhm of the specified order harmonic voltage are obtained; 根据得到的谐波电压幅值、相位信息合成相应指定次数的谐波电压
Figure FDA0000421908410000012
According to the obtained harmonic voltage amplitude and phase information, synthesize the corresponding specified order harmonic voltage
Figure FDA0000421908410000012
将基波电压与各次谐波电压叠加,得调制波
Figure FDA0000421908410000013
Superimpose the fundamental wave voltage and each harmonic voltage to obtain the modulated wave
Figure FDA0000421908410000013
根据所得的调制波,采用三角波比较法生成PWM触发脉冲信号驱动主电路,实现对指定次数谐波的抑制功能。According to the modulated wave obtained, the PWM trigger pulse signal is generated by using the triangular wave comparison method to drive the main circuit, so as to realize the suppression function of the specified order harmonic.
2.根据权利要求1的控制方法,其中指定次数谐波电压幅值Vvhm和相位θvhm获取的具体方法如下:2. according to the control method of claim 1, wherein the concrete method that specified order harmonic voltage amplitude V vhm and phase θ vhm obtain is as follows: 将有源电力滤波器实时发出的各次补偿谐波电流的幅值Aihm和相位θihm分别与参考值待补偿谐波电流的幅值
Figure FDA0000421908410000014
和相位
Figure FDA0000421908410000015
做差,其差值输入PI调节器,输出各指定次数谐波电压的幅值Vvhm和相位θvhm信息。
The amplitude A ihm and phase θ ihm of each compensation harmonic current sent by the active power filter in real time are respectively compared with the amplitude of the harmonic current to be compensated by the reference value
Figure FDA0000421908410000014
and phase
Figure FDA0000421908410000015
Make a difference, the difference is input to the PI regulator, and the amplitude V vhm and phase θ vhm information of each specified order harmonic voltage is output.
3.根据权利要求1的控制方法,其中所述调制波的生成方法如下:3. The control method according to claim 1, wherein said modulation wave The generation method is as follows: 根据得到的各指定次数谐波电压的幅值Vvhm和相位θvhm信息合成相应次谐波电压信号
Figure FDA0000421908410000017
再将各次谐波电压信号与基波电压
Figure FDA0000421908410000018
通过加法器叠加得调制波
Figure FDA0000421908410000019
Synthesize the corresponding harmonic voltage signal according to the amplitude V vhm and phase θ vhm information of each specified harmonic voltage
Figure FDA0000421908410000017
Then each harmonic voltage signal and the fundamental voltage
Figure FDA0000421908410000018
The modulated wave is superimposed by the adder
Figure FDA0000421908410000019
4.根据权利要求1的控制方法,其中生成PWM触发脉冲原理:4. The control method according to claim 1, wherein generating a PWM trigger pulse principle: 依据下式生成PWM脉冲:PWM pulses are generated according to the following formula: 其中,x(t)为调制波,xc(t)为双极性三角波,Y(t)为PWM脉冲。Among them, x(t) is a modulation wave, x c (t) is a bipolar triangle wave, and Y(t) is a PWM pulse.
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