CN114142751B - Three-phase CSR proportional integral resonance control method under unbalanced power grid voltage - Google Patents

Three-phase CSR proportional integral resonance control method under unbalanced power grid voltage Download PDF

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CN114142751B
CN114142751B CN202111529927.0A CN202111529927A CN114142751B CN 114142751 B CN114142751 B CN 114142751B CN 202111529927 A CN202111529927 A CN 202111529927A CN 114142751 B CN114142751 B CN 114142751B
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CN114142751A (en
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郭强
黄勇军
李海啸
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Chongqing University Of Technology & Tsinghua Automotive Research Institute & Linktron Measurement And Control Technology Co ltd
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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
    • H02M7/02Conversion of AC power input into DC power output without possibility of reversal
    • H02M7/04Conversion of AC power input into DC power output without possibility of reversal by static converters
    • H02M7/12Conversion of AC power input into DC power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode
    • H02M7/21Conversion of AC power input into DC 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
    • H02M7/217Conversion of AC power input into DC 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
    • H02M7/2173Conversion of AC power input into DC 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 in a biphase or polyphase circuit arrangement
    • 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
    • H02M1/12Arrangements for reducing harmonics from AC input or output

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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Supply And Distribution Of Alternating Current (AREA)

Abstract

The invention discloses a three-phase CSR proportional integral resonance control method under unbalanced power grid voltage to obtain direct-current side load voltage u o And a DC side output current i dc The method comprises the steps of carrying out a first treatment on the surface of the Load voltage u on DC side o And a DC side load voltage reference valueAfter subtracting to obtain voltage error signal, obtaining DC reference value component by PI controlAnd then outputs current i with direct current side dc Comparing to obtain a current error signal, and obtaining a feedback term through the PIR controllerSimultaneously introducing an active damping loop control item for inhibiting LC resonance at an alternating current side and a power factor compensation item for ensuring stable unit power factor operation of CSR, and adding the three items into a grid side current i under a d-q synchronous rotation coordinate system d And i q And converted to obtain a modulated signal i α And i β And after passing through the wave trap, the three-phase CSR is controlled by adopting space vector pulse width modulation. The invention has the advantages of simple and efficient control algorithm, small calculated amount, capability of omitting a network side current sensor, effective reduction of system cost and the like.

Description

一种不平衡电网电压下三相CSR比例积分谐振控制方法A three-phase CSR proportional integral resonance control method under unbalanced grid voltage

技术领域Technical field

本发明涉及电网技术领域,特别的涉及一种不平衡电网电压下三相CSR比例积分谐振控制方法。The invention relates to the field of power grid technology, and in particular to a three-phase CSR proportional integral resonance control method under unbalanced power grid voltage.

背景技术Background technique

随着大功率变流技术的应用与发展,PWM整流器越来越受到工业和学术界的广泛关注。相对于电压源型整流器(voltage source rectifier,VSR),电流源型整流器(current source rectifier,CSR)具有直流短路时可靠性高、宽范围降压输出、无需预充电电路、易于并联运行等优势,在数据中心供电系统、多电飞机配电系统、电池组充电系统、可再生新能源系统等领域得到越来越多应用。With the application and development of high-power converter technology, PWM rectifiers have attracted more and more attention from industry and academia. Compared with voltage source rectifier (VSR), current source rectifier (CSR) has the advantages of high reliability during DC short circuit, wide range of step-down output, no need for precharge circuit, and easy parallel operation. It is increasingly used in data center power supply systems, multi-electric aircraft power distribution systems, battery pack charging systems, renewable new energy systems and other fields.

目前CSR的研究主要集中在三相电网电压平衡条件下。但在实际系统中,电网电压不平衡的工况普遍存在,在电网电压不平衡工况下直流侧出现的二倍低频脉动、网侧电流出现的三次谐波将使CSR性能恶化,针对这一问题国内外研究人员相继提出了一些控制策略。Current research on CSR mainly focuses on three-phase grid voltage balance conditions. However, in actual systems, unbalanced grid voltage conditions are common. Under unbalanced grid voltage conditions, the double low-frequency pulsation appearing on the DC side and the third harmonic appearing on the grid side current will deteriorate the CSR performance. In view of this, Problem Domestic and foreign researchers have successively proposed some control strategies.

比如,在模型预测控制提出的代价函数中确定电网电流抑制项的具体谐波阶数,减少了传感器的使用,使CSR在电网电压不平衡工况下仍能保持电网电流高度正弦化,但该控制算法比较复杂,计算量大。For example, determining the specific harmonic order of the grid current suppression term in the cost function proposed by model predictive control reduces the use of sensors and enables CSR to maintain a high degree of sinusoidal grid current under unbalanced grid voltage conditions. However, this The control algorithm is relatively complex and requires a large amount of calculation.

发明内容Contents of the invention

针对上述现有技术的不足,本发明所要解决的技术问题是:如何提供一种控制算法简单高效,计算量小,同时能够省去了网侧电流传感器,有效降低系统成本的不平衡电网电压下三相CSR比例积分谐振控制方法。In view of the shortcomings of the above-mentioned existing technologies, the technical problem to be solved by the present invention is: how to provide a control algorithm that is simple and efficient, has a small amount of calculation, and at the same time can omit the grid-side current sensor and effectively reduce the system cost under unbalanced grid voltage. Three-phase CSR proportional integral resonance control method.

为了解决上述技术问题,本发明采用了如下的技术方案:In order to solve the above technical problems, the present invention adopts the following technical solutions:

一种不平衡电网电压下三相CSR比例积分谐振控制方法,其特征在于,采用如下步骤:A three-phase CSR proportional integral resonance control method under unbalanced grid voltage, which is characterized by adopting the following steps:

S1、获取直流侧负载电压uo和直流侧输出电流idcS1. Obtain the DC side load voltage u o and DC side output current i dc ;

S2、电压外环控制:将直流侧负载电压uo与直流侧负载电压参考值相减得到电压误差信号,将电压误差信号通过PI控制得到直流电流参考值分量/> S2. Voltage outer loop control: compare the DC side load voltage u o with the DC side load voltage reference value The voltage error signal is obtained by subtraction, and the DC current reference component is obtained by controlling the voltage error signal through PI/>

S3、电流内环控制:将直流电流参考值分量与直流侧输出电流idc比较得到电流误差信号,通过PIR控制器得到/>将/>作为反馈项加入d-q同步旋转坐标系下的网侧电流id和iqS3. Current inner loop control: convert the DC current reference value component into Compare with the DC side output current i dc to obtain the current error signal, which is obtained through the PIR controller/> Will/> The grid-side currents i d and i q under the dq synchronous rotating coordinate system are added as feedback items;

S4、将id和iq通过坐标转换得到两相静止坐标下的调制信号iα和iβ,并采用空间矢量脉宽调制对电流源型PWM整流器进行控制。S4. Convert id and i q through coordinate conversion to obtain modulation signals i α and i β in two-phase stationary coordinates, and use space vector pulse width modulation to control the current source PWM rectifier.

作为优化,所述步骤S4前,在d-q同步旋转坐标系下的网侧电流id和iq中加入功率因数补偿项和/> As an optimization, before step S4, the power factor compensation term is added to the grid-side currents id and iq under the dq synchronous rotating coordinate system. and/>

式中:Cac为交流侧滤波电容,uq和ud为d-q同步旋转坐标系下的交流侧滤波电容电压。In the formula: C ac is the AC side filter capacitor, u q and u d are the AC side filter capacitor voltage in the dq synchronous rotating coordinate system.

作为进一步优化,所述步骤S4前,在d-q同步旋转坐标系下的网侧电流id和iq中加入有源阻尼环路控制项和/>得到d-q同步旋转坐标系下的网侧电流id和iq分别为:As a further optimization, before step S4, the active damping loop control term is added to the grid-side currents id and iq under the dq synchronous rotation coordinate system. and/> The grid-side currents i d and i q under the dq synchronous rotating coordinate system are obtained respectively:

其中,和/>由d-q同步旋转坐标下交流侧电容电压uq和ud通过高通滤波器滤波后与有源阻尼反馈增益相乘后得到:in, and/> The AC side capacitance voltage u q and u d under the dq synchronous rotation coordinate are filtered by a high-pass filter and multiplied by the active damping feedback gain to obtain:

式中:KCv为有源阻尼反馈增益;In the formula: K Cv is the active damping feedback gain;

高通滤波器的表达式为:The expression of the high-pass filter is:

式中:ωh为高通滤波器截止频率。In the formula: ω h is the cutoff frequency of the high-pass filter.

作为优化,所述PIR控制器为:As an optimization, the PIR controller is:

式中:kp、ki、kr分别为比例、积分、谐振增益系数。In the formula: k p , k i , k r are proportional, integral, and resonance gain coefficients respectively.

所述步骤S3中,电流内环控制的传递函数为:In the step S3, the transfer function of the current inner loop control is:

式中:a4=KmkpRLCdc;a3=Kmkp+Km(ki+kr)RLCdc;a2=Km(ki+kr)+Km2kpRLCdc;a1=Km(4ω2kp+4ω2kiRLCdc);a0=Km2ki;b5=RLLdcCdc;b4=Ldc;b3=4ω2RLLdcCdc+RL;b2=4ω2Ldc;b1=4ω2RL;b0=0;In the formula: a 4 =K m k p R L C dc ; a 3 =K m k p +K m (k i +k r )R L C dc ; a 2 =K m (k i +k r )+ K m2 k p R L C dc ; a 1 =K m (4ω 2 k p +4ω 2 k i R L C dc ); a 0 =K m2 k i ; b 5 =R L L dc C dc ; b 4 =L dc ; b 3 = 4ω 2 R L L dc C dc + R L ; b 2 = 4ω 2 L dc ; b 1 = 4ω 2 R L ; b 0 = 0;

其中,Km为系统电压增益、RL为负载电阻、Cdc为直流侧电容、Ldc为直流侧电感。Among them, K m is the system voltage gain, R L is the load resistance, C dc is the DC side capacitance, and L dc is the DC side inductance.

进一步的,所述步骤S4中,采用陷波器消除调制信号iα和iβ中的三次谐波,所述陷波器为:Further, in step S4, a trap is used to eliminate the third harmonic in the modulated signals i α and i β . The trap is:

式中:K1为控制器系数。In the formula: K 1 is the controller coefficient.

进一步的,所述步骤S4中,所述空间矢量脉宽调制采用十二扇区调制策略,且每个扇区的矢量序列为双边对称电流矢量序列。Further, in step S4, the space vector pulse width modulation adopts a twelve-sector modulation strategy, and the vector sequence of each sector is a bilaterally symmetric current vector sequence.

综上所述,本发明具有控制算法简单高效,计算量小,同时能够省去了网侧电流传感器,有效降低系统成本等优点。In summary, the present invention has the advantages of simple and efficient control algorithm, small calculation amount, and can eliminate the need for grid-side current sensors and effectively reduce system costs.

附图说明Description of drawings

图1为电流源型PWM整流器拓扑图。Figure 1 is a topology diagram of a current source PWM rectifier.

图2为三相CSR控制策略框图。Figure 2 is a three-phase CSR control strategy block diagram.

图3为非单位功率因数运行下的CSR输入侧单相(a相)矢量图。Figure 3 is the single-phase (a-phase) vector diagram of the CSR input side under non-unity power factor operation.

图4为单位功率因数运行下的CSR输入侧单相(a相)矢量图。Figure 4 is the single-phase (a-phase) vector diagram of the CSR input side under unit power factor operation.

图5为电容电压反馈有源阻尼策略图。Figure 5 shows the capacitor voltage feedback active damping strategy diagram.

图6为交流侧LC滤波器Bode图。Figure 6 is the Bode diagram of the AC side LC filter.

图7为CSR系统控制环路框图。Figure 7 is a block diagram of the CSR system control loop.

图8为电流内环控制框图。Figure 8 is the current inner loop control block diagram.

图9为不同kr下电流开环传递函数Bode图。Figure 9 is the Bode diagram of the current open-loop transfer function under different kr.

图10为电流开闭环传递函数Bode图。Figure 10 is the Bode diagram of the current open and closed loop transfer function.

图11为12扇区划分示意图。Figure 11 is a schematic diagram of 12-sector division.

图12为本发明所设计陷波器的Bode图。Figure 12 is a Bode diagram of the trap designed in the present invention.

图13为三相不平衡电网电压示意图。Figure 13 is a schematic diagram of three-phase unbalanced grid voltage.

图14为传统双闭环仿真下的a相电网电压、网侧电流和直流侧负载电压。Figure 14 shows the a-phase grid voltage, grid-side current and DC-side load voltage under traditional double-closed-loop simulation.

图15为传统双闭环仿真下的网侧电流谐波分析图。Figure 15 shows the grid-side current harmonic analysis diagram under traditional double-closed-loop simulation.

图16为本发明方案仿真下的a相电网电压、网侧电流和直流侧负载电压。Figure 16 shows the a-phase grid voltage, grid-side current and DC-side load voltage under simulation of the solution of the present invention.

图17为本发明方案仿真下的网侧电流谐波分析图。Figure 17 is a grid-side current harmonic analysis diagram under simulation of the solution of the present invention.

图18为本发明方案仿真下的有功、无功及其功率因数图。Figure 18 is a diagram of active power, reactive power and their power factor under simulation of the scheme of the present invention.

图19为本发明方法动态响应仿真结果。Figure 19 shows the dynamic response simulation results of the method of the present invention.

图20为基于模型的代码生成控制框图。Figure 20 is a model-based code generation control block diagram.

图21为三相不平衡电网电压。Figure 21 shows the three-phase unbalanced grid voltage.

图22为传统双闭环控制时CSR实验下的a相电网电压、网侧电流和直流侧负载电压。Figure 22 shows the a-phase grid voltage, grid-side current and DC-side load voltage under the CSR experiment during traditional double-closed-loop control.

图23为传统双闭环控制时CSR实验下的网侧电流谐波分析图。Figure 23 shows the grid-side current harmonic analysis diagram under CSR experiment under traditional double closed-loop control.

图24~图26为采用本发明方法控制时CSR实验结果图。Figures 24 to 26 are diagrams of CSR experimental results when controlled by the method of the present invention.

图27为u*o=100V时网侧电流谐波分析图。Figure 27 is the grid-side current harmonic analysis diagram when u*o=100V.

图28为动态响应实验结果示意图。Figure 28 is a schematic diagram of the dynamic response experimental results.

具体实施方式Detailed ways

下面结合实施例对本发明作进一步的详细说明。The present invention will be further described in detail below with reference to examples.

本实施例先建立CSR在三相静止坐标系的数学模型,分析得到在电网电压不平衡时直流侧存在二倍低频脉动、交流侧出现三次谐波的原因。提出直流侧采用双闭环控制,其中电流内环通过比例积分谐振(proportional integral resonance,PIR)控制器直接控制,抑制直流输出侧二倍低频脉动;运用一种交流侧电容电流补偿法,消除交流侧电容电流对系统功率因数的影响,同时引入交流侧电容电压反馈有源阻尼控制,抑制交流侧LC并联谐振;设计陷波器消除调制环节中的三次谐波,实现网侧电流高度正弦化;最后通过仿真和实验对本实施例所提出的方法进行验证。In this embodiment, a mathematical model of CSR in a three-phase stationary coordinate system is first established, and the reasons why there are double low-frequency pulsations on the DC side and third harmonics on the AC side when the grid voltage is unbalanced are analyzed. It is proposed that the DC side adopts double closed-loop control, in which the current inner loop is directly controlled by a proportional integral resonance (PIR) controller to suppress the double low-frequency pulsation on the DC output side; an AC side capacitor current compensation method is used to eliminate the AC side The influence of capacitor current on the system power factor is also studied. At the same time, active damping control of capacitor voltage feedback on the AC side is introduced to suppress the LC parallel resonance on the AC side; a trap is designed to eliminate the third harmonic in the modulation link and achieve a high degree of sinusoidalization of the grid-side current; finally The method proposed in this embodiment is verified through simulation and experiment.

1、三相CSR系统工作分析1. Three-phase CSR system working analysis

三相电流源型PWM整流器的拓扑如图1所示。其中ek为电网电压,ik为网侧电流,isk为整流器交流侧电流,k=a,b,c;Lac、Cac分别为整流器交流侧滤波电感和电容,Ldc、Cdc分别为直流侧电感和电容,D为续流二极管,RL为负载电阻,udc、idc分别为直流侧输出电压和电流,uo、io分别为负载电压和电流。The topology of the three-phase current source PWM rectifier is shown in Figure 1. Among them, e k is the grid voltage, i k is the grid side current, i sk is the AC side current of the rectifier, k = a, b, c; L ac and C ac are the filter inductance and capacitance of the AC side of the rectifier respectively, L dc and C dc are the DC side inductance and capacitance respectively, D is the freewheeling diode, R L is the load resistance, u dc and i dc are the DC side output voltage and current respectively, u o and i o are the load voltage and current respectively.

建立三相静止坐标系下CSR的数学模型,根据基尔霍夫电压电流定律得到:Establish a mathematical model of CSR in a three-phase stationary coordinate system and obtain it according to Kirchhoff's voltage and current law:

式中:uck为交流侧滤波电容电压,σk为开关函数。In the formula: u ck is the AC side filter capacitor voltage, and σ k is the switching function.

不平衡电网电压可表示为:The unbalanced grid voltage can be expressed as:

式中:Ep、En分别为正序分量和负序分量的幅值;ω为电网电压基波角频率;αp、αn分别为正序分量和负序分量的初始相位角。In the formula: E p and E n are the amplitudes of the positive sequence component and the negative sequence component respectively; ω is the fundamental angular frequency of the grid voltage; α p and α n are the initial phase angles of the positive sequence component and the negative sequence component respectively.

通过Park变换将三相电网电压变换得到d-q同步旋转坐标下的电压ed、eq,网侧电流通过Park变换为id、iq,则网侧功率可表示为:The three-phase grid voltage is transformed through Park transformation to obtain the voltages ed and e q under the dq synchronous rotation coordinate. The grid-side current is transformed into i d and i q through Park. Then the grid-side power can be expressed as:

网侧瞬时功率表达式为:The instantaneous power expression on the grid side is:

式中:In the formula:

式中:分别为电压正序和负序分量;/>分别为电流正序和负序分量。In the formula: are the positive sequence and negative sequence components of voltage respectively;/> are the positive sequence and negative sequence components of the current respectively.

由式(4)可知,在不平衡电网电压下网侧有功和无功功率均含有二次谐波分量。忽略系统损耗,由系统功率守恒可知直流侧电压、电流也将存在二次谐波分量。忽略直流侧电容的影响,直流侧输出电压、电流可表示为:It can be seen from equation (4) that under unbalanced grid voltage, both grid-side active and reactive power contain second harmonic components. Ignoring the system loss, it can be seen from the system power conservation that the DC side voltage and current will also have second harmonic components. Ignoring the influence of DC side capacitance, the DC side output voltage and current can be expressed as:

式中:Udc为直流侧电压平均值,udc1、udc2分别为二次电压谐波余弦和正弦分量幅值;Idc为直流侧电流平均值,idc1、idc2分别为二次电流谐波余弦和正弦分量幅值。In the formula: U dc is the average value of the DC side voltage, u dc1 and u dc2 are the amplitudes of the cosine and sinusoidal components of the secondary voltage harmonics respectively; I dc is the average value of the DC side current, i dc1 and i dc2 are the secondary currents respectively. Harmonic cosine and sine component amplitudes.

稳态下只考虑开关函数基波量则有:In the steady state, only the fundamental wave quantity of the switching function is considered:

σk(t)=msin(ωt+β) (6)σ k (t)=msin(ωt+β) (6)

式中:m为调制因数,0≤m≤1,β为基波初始相角。In the formula: m is the modulation factor, 0≤m≤1, and β is the initial phase angle of the fundamental wave.

进一步可得到网侧电流的表达式为:Further, the expression of the grid-side current can be obtained as:

由式(7)可知,直流侧输出电流二次谐波将引起网侧电流含有三次谐波。It can be seen from equation (7) that the second harmonic of the DC side output current will cause the grid side current to contain the third harmonic.

2、不平衡电网电压下CSR控制策略2. CSR control strategy under unbalanced grid voltage

目前在三相不平衡电网电压工况下,CSR常用控制策略是从电网电压正负序分离、输入侧有功功率恒定这两个角度入手,通过抑制网侧电流负序分量来改善网侧电流波形,同时去除直流侧低频脉动。但这种控制策略需要提取电网电压正负序分量,而通过锁相环等方法提取复杂、计算量大。At present, under the condition of three-phase unbalanced grid voltage, the common control strategy of CSR is to improve the grid-side current waveform by suppressing the negative sequence component of the grid-side current from the two perspectives of separation of positive and negative sequence of grid voltage and constant active power on the input side. , while removing the low-frequency pulsation on the DC side. However, this control strategy needs to extract the positive and negative sequence components of the grid voltage, and extraction through methods such as phase-locked loops is complicated and computationally intensive.

针对此问题,本实施例提出一种无需提取电网电压正负序分量的新型控制方案,如图2所示,通过设计控制环路直接抑制直流输出侧二倍频分量,再根据式(7)可知当直流侧二倍频分量衰减后网侧电流的三次谐波量也将减小,从而实现网侧电流高度正弦化。To address this problem, this embodiment proposes a new control scheme that does not require extracting the positive and negative sequence components of the grid voltage. As shown in Figure 2, the second-frequency component on the DC output side is directly suppressed by designing a control loop, and then according to Equation (7) It can be seen that when the second frequency component of the DC side is attenuated, the third harmonic of the grid-side current will also be reduced, thereby achieving a high degree of sinusoidalization of the grid-side current.

控制原理具体如下:直流侧负载电压uo与直流侧负载电压参考值相减得到电压误差信号,通过PI控制后得到直流电流参考值分量/>继续与直流侧输出电流idc比较得到电流误差信号,通过PIR控制器得到/>实现对直流侧二倍频脉动抑制。The control principle is as follows: DC side load voltage u o and DC side load voltage reference value The voltage error signal is obtained by subtraction, and the DC current reference value component is obtained after PI control/> Continue to compare with the DC side output current i dc to obtain the current error signal, which is obtained through the PIR controller/> Achieve the suppression of double frequency pulsation on the DC side.

三相CSR网侧LC的作用是滤除网侧电流的谐波,但由于滤波电容电流的影响将使网侧电压、电流产生相位差,导致系统不能在单位功率因数下运行。The function of the three-phase CSR grid-side LC is to filter the harmonics of the grid-side current. However, due to the influence of the filter capacitor current, a phase difference will occur in the grid-side voltage and current, resulting in the system not being able to operate at unit power factor.

如图3所示,以a相为例,ea、ia表示网侧电压、电流,isa表示交流侧电流,ula表示交流侧滤波电感两端的电压,uca、ica表示交流侧滤波电容两端的电压、电流,CSR在非单位功率因数运行时网侧电压、电流间存在的输入功率因数角用δ表示,网侧电压与交流侧电流之间的角度用表示。由图4可以看出为了提高系统输入功率因数,使系统实现单位功率因数运行,需要增大/>、减小δ。由三相CSR的运行原理可以得到:As shown in Figure 3, taking phase a as an example, e a and ia represent the grid side voltage and current, isa represents the AC side current, u la represents the voltage at both ends of the AC side filter inductor, u ca and ica represent the AC side. The voltage and current at both ends of the filter capacitor, and the input power factor angle between the grid-side voltage and current when the CSR is operating at non-unity power factor are represented by δ, and the angle between the grid-side voltage and the AC-side current is represented by express. It can be seen from Figure 4 that in order to improve the system input power factor and enable the system to operate at unit power factor, it needs to be increased/> , reduce δ. From the operating principle of three-phase CSR, we can get:

式中:Em表示为网侧电压有效值。In the formula: Em represents the effective value of the grid side voltage.

由式(8)可知,在Udc和Em保持不变的情况下,增加调制因数m能增大。由此本实施例设计一种补偿电流法,通过减小ica使得isa增大,从而增大m和/>,实现系统输入功率因数的提高。由式(1)可得到CSR在d-q坐标下:It can be seen from equation (8) that when U dc and Em remain unchanged, increasing the modulation factor m can increase . Therefore, this embodiment designs a compensation current method, which increases isa by reducing i ca , thus increasing m and/> , to improve the system input power factor. From formula (1), we can get the CSR in dq coordinates:

即:Right now:

为了降低系统噪声的影响,可忽略上式(10)中的微分项,即icd=-ωCacuq、icq=ωCacud,则当设计补偿电流时便能有效减小滤波电容电流ica的影响,同时提高系统输入功率因数。In order to reduce the impact of system noise, the differential term in the above equation (10) can be ignored, that is, i cd =-ωC ac u q , i cq =ωC ac u d , then when the compensation current is designed It can effectively reduce the influence of the filter capacitor current i ca and at the same time improve the system input power factor.

同时三相CSR也易受到PWM谐波或系统阶跃响应的影响导致网侧LC电路产生并联谐振。针对此问题,本实施例引入高通滤波器得到交流侧滤波电容在谐振频率附近的谐波分量,并通过电容电压反馈有源阻尼环路有效抑制了谐振。控制框图如图5所示,其中KCv表示对应的反馈增益。At the same time, the three-phase CSR is also susceptible to the influence of PWM harmonics or system step response, causing parallel resonance in the grid-side LC circuit. To address this problem, this embodiment introduces a high-pass filter to obtain the harmonic component of the AC side filter capacitor near the resonant frequency, and effectively suppresses the resonance through the capacitor voltage feedback active damping loop. The control block diagram is shown in Figure 5, where K Cv represents the corresponding feedback gain.

HPF传递函数取为s/(s+ωh),网侧电流相对于交流侧电流的传递函数为:The HPF transfer function is taken as s/(s+ω h ), and the transfer function of the grid side current relative to the AC side current is:

式中:A1=1,A0=ωh;B3=LacCac,B2=KCvLac+LacCacωh,B1=1,B0=ωhIn the formula: A 1 =1, A 0h ; B 3 =L ac C ac , B 2 =K Cv L ac +L ac C ac ω h , B 1 =1, B 0h .

通过合理设置反馈增益可以改变系统阻尼系数和振荡频率,由图6可知在(0,0.65)范围内提高反馈增益KCv,LC谐振尖峰将逐渐衰减并逐步呈现过阻尼特征。综合考虑,选择KCv=0.25能够满足谐振抑制且不造成控制器输出饱和。The system damping coefficient and oscillation frequency can be changed by reasonably setting the feedback gain. As shown in Figure 6, when the feedback gain K Cv is increased within the range of (0, 0.65), the LC resonance peak will gradually attenuate and gradually exhibit over-damping characteristics. Comprehensive consideration, choosing K Cv = 0.25 can satisfy resonance suppression without causing controller output saturation.

引入功率因数补偿项和/>以及有源阻尼环路控制项/>和/>综合得到:Introduce power factor compensation term and/> and active damping loop control items/> and/> Combined, we get:

通过坐标变换得到两相静止坐标下的调制信号iα和iβThe modulated signals i α and i β in the two-phase stationary coordinates are obtained through coordinate transformation.

3、环路控制器设计3. Loop controller design

三相CSR直流侧采用双闭环控制策略,如图7所示,其中Gv(s),Gi(s)分别为电压外环PI控制器和电流内环PIR控制器,Km为系统电压增益,取Km=1.5EmThe three-phase CSR DC side adopts a double closed-loop control strategy, as shown in Figure 7, where G v (s) and G i (s) are the voltage outer loop PI controller and the current inner loop PIR controller respectively, and K m is the system voltage. For gain, take K m =1.5E m .

PIR控制器是在PI控制器的基础上并联一个谐振控制器。在PIR控制器中,PI用作对直流信号进行跟踪控制,R用作对低频脉动信号进行跟踪控制,这就实现了同时对直流信号和低频脉动信号的无差跟踪。值得注意的是,在本实施例的PIR控制器设计中R的控制目标是实现对直流侧二倍频分量的无差跟踪,故对应R中分量的取值应为二倍的电网电压基波角频率,即2ω。此时PIR控制器表达式:The PIR controller is a resonant controller connected in parallel to the PI controller. In the PIR controller, PI is used to track and control the DC signal, and R is used to track and control the low-frequency pulsation signal. This achieves seamless tracking of the DC signal and the low-frequency pulsation signal at the same time. It is worth noting that in the design of the PIR controller in this embodiment, the control goal of R is to achieve seamless tracking of the double frequency component on the DC side, so the value of the corresponding component in R should be twice the fundamental wave of the grid voltage. Angular frequency, which is 2ω. At this time the PIR controller expression:

式中:kp、ki、kr分别为比例、积分、谐振增益系数。In the formula: k p , k i , k r are proportional, integral, and resonance gain coefficients respectively.

电流内环控制框图如图8所示:The current inner loop control block diagram is shown in Figure 8:

利用梅森公式,得到电流内环开环传递函数为:Using Mason's formula, the open-loop transfer function of the current inner loop is:

整理式(14)可得到:After sorting out formula (14), we can get:

式中:a4=KmkpRLCdc;a3=Kmkp+Km(ki+kr)RLCdc;a2=Km(ki+kr)+Km2kpRLCdc;a1=Km(4ω2kp+4ω2kiRLCdc);a0=Km2ki;b5=RLLdcCdc;b4=Ldc;b3=4ω2RLLdcCdc+RL;b2=4ω2Ldc;b1=4ω2RL;b0=0。In the formula: a 4 =K m k p R L C dc ; a 3 =K m k p +K m (k i +k r )R L C dc ; a 2 =K m (k i +k r )+ K m2 k p R L C dc ; a 1 =K m (4ω 2 k p +4ω 2 k i R L C dc ); a 0 =K m2 k i ; b 5 =R L L dc C dc ; b 4 =L dc ; b 3 =4ω 2 R L L dc C dc +R L ; b 2 =4ω 2 L dc ; b 1 =4ω 2 R L ; b 0 =0.

确定PIR控制器中kp、ki参数后将其代入式(15),当kr取不同值时得到电流开环传递函数Bode图如图9所示。After determining the k p and k i parameters in the PIR controller, substitute them into equation (15). When k r takes different values, the Bode diagram of the current open-loop transfer function is obtained, as shown in Figure 9.

可以看到随着kr的增大,系统跟踪二倍频能力越强,进而整个控制系统可以实现对直流侧二倍频脉动的抑制,然而过大的kr将对其他频率造成影响,为了保证系统整体性能,综合考虑选取kr为100。It can be seen that as k r increases, the system's ability to track the double frequency becomes stronger, and the entire control system can suppress the double frequency pulsation on the DC side. However, excessive k r will affect other frequencies. In order To ensure the overall performance of the system, k r is selected as 100 based on comprehensive considerations.

最终得到的电流内环开闭环传递函数Bode图如图10所示,此时其相位裕度为87.3°,截止频率为1910Hz,系统带宽为2100Hz,约为开关频率的1/10,满足系统性能要求。The final Bode diagram of the open and closed loop transfer function of the current inner loop is shown in Figure 10. At this time, its phase margin is 87.3°, the cutoff frequency is 1910Hz, and the system bandwidth is 2100Hz, which is approximately 1/10 of the switching frequency, which meets the system performance Require.

4、系统调制策略4. System modulation strategy

SVM是CSR最常用的调制方法,传统六扇区调制的开关状态与扇区划分如表1所示。SVM is the most commonly used modulation method for CSR. The switch status and sector division of traditional six-sector modulation are shown in Table 1.

表1开关状态与扇区划分Table 1 Switch status and sector division

然而传统六扇区调制策略存在系统开关功率损耗高的缺陷,针对此问题,本实施例采用十二扇区调制策略,其空间矢量分布如图11所示。如表2所示,利用双边对称电流矢量序列能降低系统的平均开关电压,进而减小了功率损耗,提高了三相CSR运行效率。However, the traditional six-sector modulation strategy has the disadvantage of high system switching power loss. To address this problem, this embodiment adopts a twelve-sector modulation strategy, and its space vector distribution is shown in Figure 11. As shown in Table 2, the use of bilaterally symmetrical current vector sequences can reduce the average switching voltage of the system, thereby reducing power loss and improving three-phase CSR operating efficiency.

表2各扇区电流空间矢量序列Table 2 Current space vector sequence of each sector

由前文可知由于电流内环输出信号存在二倍频脉动,因此通过坐标变换得到的调制信号iα和iβ将含有三次谐波,可采用陷波器消除其中的三次谐波。此时陷波器对应分量的取值应为三倍的电网电压基波角频率,即3ω,其表达式为:It can be seen from the above that because the current inner loop output signal has double frequency pulsation, the modulated signals i α and i β obtained through coordinate transformation will contain third harmonics, and a trap can be used to eliminate the third harmonics. At this time, the value of the corresponding component of the notch should be three times the fundamental angular frequency of the grid voltage, that is, 3ω, and its expression is:

式中:K1为控制器系数。In the formula: K 1 is the controller coefficient.

对应陷波器的Bode图如图12所示。可以看出,陷波器在3ω即150Hz附近能够显著衰减输入信号,而在其他频率处无任何影响。The Bode diagram corresponding to the notch filter is shown in Figure 12. It can be seen that the notch filter can significantly attenuate the input signal near 3ω, that is, 150Hz, but has no effect at other frequencies.

5、仿真与实验结果分析5. Analysis of simulation and experimental results

5.1、仿真验证5.1. Simulation verification

基于Matlab/Simulink搭建三相CSR仿真模型,分析系统稳态、动态运行性能,从而验证所提出方法的正确性。三相不平衡电网电压参数为ea=156∠0°,eb=131∠-115°,ec=131∠125°,电压波形如图13所示,系统仿真参数如表3所示:A three-phase CSR simulation model was built based on Matlab/Simulink to analyze the steady-state and dynamic operating performance of the system to verify the correctness of the proposed method. The voltage parameters of the three-phase unbalanced power grid are e a =156∠0°, e b =131∠-115°, e c =131∠125°. The voltage waveform is shown in Figure 13, and the system simulation parameters are shown in Table 3:

表3 CSR主要参数Table 3 Main parameters of CSR

当采用传统双闭环时,系统稳态运行时仿真结果如图14和图15所示,其中负载参考电压为100V。When the traditional double closed loop is used, the simulation results during steady-state operation of the system are shown in Figures 14 and 15, where the load reference voltage is 100V.

可以看到虽然电网电压和网侧电流保持同相位,但其无法实现对直流侧负载电压二倍频脉动的抑制,同时网侧电流总谐波畸变率(Total Harmonic Distortion,THD)为6.35%,不满足GB-T/14549-1993和IEEE519标准。It can be seen that although the grid voltage and the grid-side current remain in the same phase, they cannot suppress the double frequency pulsation of the DC side load voltage. At the same time, the grid-side current total harmonic distortion (THD) is 6.35%. Does not meet GB-T/14549-1993 and IEEE519 standards.

图16~图18为电流内环采用PIR控制时的仿真结果,系统电网电压和网侧电流保持同相位,有功功率保持恒定不变,而无功功率存在较小的二倍频脉动,该阶段系统功率因数均达到0.985以上,因此直流侧负载电压二倍频脉动得到有效抑制;网侧电流THD为2.23%,满足GB-T/14549-1993和IEEE519标准。Figures 16 to 18 show the simulation results when the current inner loop adopts PIR control. The system grid voltage and grid-side current remain in the same phase, the active power remains constant, and the reactive power has a small double frequency pulsation. In this stage The system power factor reaches above 0.985, so the double frequency pulsation of the DC side load voltage is effectively suppressed; the grid side current THD is 2.23%, which meets the GB-T/14549-1993 and IEEE519 standards.

图19给出了负载从5.6Ω到11.2Ω阶跃变化的仿真波形。结果表明,网侧电流在突变过程中无明显畸变,直流侧负载电压能在20ms内完成对给定参考值的跟踪,验证了系统具有良好的动态性能。Figure 19 shows the simulation waveform of the load step change from 5.6Ω to 11.2Ω. The results show that the grid-side current has no obvious distortion during the mutation process, and the DC-side load voltage can complete tracking of the given reference value within 20ms, verifying that the system has good dynamic performance.

5.2、实验验证5.2. Experimental verification

为验证本实施例所提出控制策略可行性,搭建了CSR实验平台,如图20所示。其中功率开关管和串联二极管分别采用英飞凌FF100R12RT4和艾赛斯MEA75-12DA,控制芯片采用德州仪器TMS320F28335,逻辑转换单元采用赛灵思XC95288。控制代码的生成及下载过程通过Matlab和Composer Studio(CCS V5)自动完成,实验参数与仿真参数相同。In order to verify the feasibility of the control strategy proposed in this embodiment, a CSR experiment platform was built, as shown in Figure 20. The power switch tube and series diode use Infineon FF100R12RT4 and Essence MEA75-12DA respectively, the control chip uses Texas Instruments TMS320F28335, and the logic conversion unit uses Xilinx XC95288. The generation and downloading process of the control code is automatically completed through Matlab and Composer Studio (CCS V5), and the experimental parameters are the same as the simulation parameters.

采用可编程电源Chroma-61702模拟电网电压不平衡状态,电网电压波形如图21所示。The programmable power supply Chroma-61702 is used to simulate the unbalanced state of the grid voltage. The grid voltage waveform is shown in Figure 21.

当采用传统双闭环控制时,系统稳态运行时a相电网电压、网侧电流、直流侧负载电压波形如图22和图23所示,可以看到虽然电网电压和网侧电流保持同相位,但无法实现对直流侧负载电压二倍频脉动的抑制,同时网侧电流THD值达到7.92%,与仿真结果基本一致。When traditional double-closed-loop control is used, the waveforms of phase A grid voltage, grid-side current, and DC-side load voltage during steady-state operation of the system are shown in Figure 22 and Figure 23. It can be seen that although the grid voltage and grid-side current remain in the same phase, However, it is impossible to suppress the double frequency pulsation of the DC side load voltage, and the grid side current THD value reaches 7.92%, which is basically consistent with the simulation results.

图24~图26为电流内环采用PIR控制时不同参考电压下CSR稳态运行的实验结果。其中,图24中ea=156V,图25中ea=156V,/>图26中ea=156V,/> Figures 24 to 26 show the experimental results of CSR steady-state operation under different reference voltages when the current inner loop adopts PIR control. Among them, e a =156V in Figure 24, In Figure 25, e a =156V,/> In Figure 26, e a =156V,/>

可以看到在不同运行工况下,系统a相电网电压和网侧电流均能保持同相位,直流侧负载电压能够准确、快速跟踪参考电压值,同时可有效抑制直流侧负载电压二倍频脉动,实验表明在三相电网电压不平衡工况下本实施例所提出的控制策略对三相CSR在不同输出功率下均具有良好的稳态性能。It can be seen that under different operating conditions, the system A-phase grid voltage and grid-side current can maintain the same phase. The DC-side load voltage can accurately and quickly track the reference voltage value, and at the same time, the double-frequency pulsation of the DC-side load voltage can be effectively suppressed. , the experiment shows that the control strategy proposed in this embodiment has good steady-state performance for three-phase CSR under different output powers under the three-phase power grid voltage unbalanced condition.

所提出控制策略在ea=156V、时网侧电流谐波分析如图27所示,与仿真结果基本一致,网侧电流THD仅为2.78%,满足GB-T/14549-1993和IEEE519标准,从而验证了本实施例所提控制策略和控制器参数设计的正确性。The proposed control strategy is at e a =156V, The grid-side current harmonic analysis is shown in Figure 27, which is basically consistent with the simulation results. The grid-side current THD is only 2.78%, which meets the GB-T/14549-1993 and IEEE519 standards, thus verifying the control strategy proposed in this embodiment. and the correctness of controller parameter design.

负载从5.6Ω到11.2Ω阶跃变化获得的电网电压、网侧电流和直流侧负载电压的实验结果如图28所示。The experimental results of the grid voltage, grid-side current and DC-side load voltage obtained with a step change in load from 5.6Ω to 11.2Ω are shown in Figure 28.

可以看到与仿真结果一致,直流侧负载电压能在20ms内完成对给定值的跟踪,网侧电流在突变过程中无明显畸变,实验结果表明在三相电网电压不平衡工况下本实施例所提控制策略对三相CSR具有良好动态性能。It can be seen that it is consistent with the simulation results. The DC side load voltage can complete the tracking of the given value within 20ms, and the grid side current has no obvious distortion during the mutation process. The experimental results show that this implementation works under the unbalanced condition of the three-phase grid voltage. The control strategy proposed in the example has good dynamic performance for three-phase CSR.

本实施例提出了一种基于直流侧电流内环PIR控制策略,并引入固定频率陷波器,解决了三相CSR系统在电网电压不平衡时直流侧存在二倍频脉动、网侧电流出现三次谐波问题。采用电容电流补偿解决了因网侧电容电流对功率因数带来的影响,有效提高了系统功率因数。根据仿真和实验验证得出如下结论:This embodiment proposes a PIR control strategy based on the DC side current inner loop and introduces a fixed frequency notch to solve the problem of double frequency pulsation on the DC side and three grid side currents in the three-phase CSR system when the grid voltage is unbalanced. Harmonic issues. The use of capacitor current compensation solves the impact of grid-side capacitor current on power factor and effectively improves the system power factor. Based on simulation and experimental verification, the following conclusions are drawn:

1)传统直流双闭环结构在电网电压不平衡工况下直流侧二倍频脉动明显,网侧电流三次谐波较大,同时功率因数较低。1) In the traditional DC double-closed-loop structure, when the grid voltage is unbalanced, the second-frequency pulsation on the DC side is obvious, the third harmonic of the grid-side current is large, and the power factor is low.

2)在三种不同输出功率下,直流侧脉动均能得到较好抑制,网侧电流THD值均小于3%,实现了单位功率因数运行,同时在负载突变工况下调节时间小于20ms,具有良好动态性能。2) Under three different output powers, the DC side pulsation can be well suppressed, and the grid side current THD value is less than 3%, achieving unit power factor operation. At the same time, the adjustment time under load mutation conditions is less than 20ms, with Good dynamic performance.

3)相较于传统控制方案,本实施例提出的方法无需正负序分量计算,算法简单高效,同时省去了网侧电流传感器,有效降低系统成本。3) Compared with the traditional control scheme, the method proposed in this embodiment does not require the calculation of positive and negative sequence components, and the algorithm is simple and efficient. At the same time, it eliminates the need for grid-side current sensors, effectively reducing system costs.

以上所述仅为本发明的较佳实施例而已,并不以本发明为限制,凡在本发明的精神和原则之内所作的任何修改、等同替换和改进等,均应包含在本发明的保护范围之内。The above are only preferred embodiments of the present invention, and are not limited to the present invention. Any modifications, equivalent substitutions and improvements made within the spirit and principles of the present invention shall be included in the scope of the present invention. within the scope of protection.

Claims (5)

1. A three-phase CSR proportional-integral resonance control method under unbalanced power grid voltage is characterized by comprising the following steps:
s1, obtaining direct-current side load voltage u o And a DC side output current i dc
S2, voltage outer loop control: load voltage u on DC side o And a DC side load voltage reference valueSubtracting to obtain a voltage error signal, and obtaining a direct current reference value component by PI control of the voltage error signal>
S3, current inner loop control: to direct current reference value componentAnd direct current side output current i dc Comparing to obtain a current error signal, obtaining +.>Will->Adding the net side current i under d-q synchronous rotation coordinate system as feedback item d And i q
S4, will i d And i q Obtaining a modulation signal i under two-phase stationary coordinates through coordinate conversion α And i β After passing through the wave trap, the current source type PWM rectifier is controlled by adopting space vector pulse width modulation;
before the step S4, the net side current i under the d-q synchronous rotation coordinate system d And i q Adding power factor compensation termAnd->
Wherein: c (C) ac Is an alternating current side filter capacitor, u q And u d The voltage of the filter capacitor at the alternating current side under the d-q synchronous rotation coordinate system;
before the step S4, the net side current i under the d-q synchronous rotation coordinate system d And i q Adding active damping loop control itemAnd->Obtaining the net side current i under d-q synchronous rotation coordinate system d And i q The method comprises the following steps of:
wherein,and->AC side under d-q synchronous rotation coordinatesCapacitor voltage u q And u d Filtering by high-pass filter and then the source damping feedback gain is multiplied to obtain:
wherein: k (K) Cv Is an active damping feedback gain;
the expression of the high-pass filter is:
wherein: omega h Is a high pass filter cut-off frequency.
2. The method for three-phase CSR proportional-integral-resonance control under unbalanced grid voltage of claim 1, wherein the PIR controller is:
wherein: k (k) p 、k i 、k r Respectively proportional, integral, resonant gain coefficients.
3. The method for controlling three-phase CSR proportional-integral resonance under unbalanced network voltage according to claim 2, wherein in step S3, the transfer function of the current inner loop control is:
wherein: a, a 4 =K m k p R L C dc ;a 3 =K m k p +K m (k i +k r )R L C dc ;a 2 =K m (k i +k r )+K m2 k p R L C dc ;a 1 =K m (4ω 2 k p +4ω 2 k i R L C dc );a 0 =K m2 k i ;b 5 =R L L dc C dc ;b 4 =L dc ;b 3 =4ω 2 R L L dc C dc +R L ;b 2 =4ω 2 L dc ;b 1 =4ω 2 R L ;b 0 =0;
Wherein K is m For the system voltage gain, R L Is a load resistor, C dc Is a direct-current side capacitor L dc Is a direct current side inductance.
4. The method for three-phase CSR proportional-integral-resonance control at unbalanced network voltages of claim 1, wherein the trap is used to cancel the modulated signal i α And i β The trap is:
wherein: k (K) 1 Is the controller coefficient.
5. The method for controlling three-phase CSR proportional-integral resonance under unbalanced network voltage according to claim 1, wherein in step S4, the space vector pulse width modulation adopts a twelve-sector modulation strategy, and the vector sequence of each sector is a bilateral symmetry current vector sequence.
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