电气工程学报, 2018, 13(9): 38-43 doi: 10.11985/2018.09.007

交直流混合配电网电能质量综合检测和补偿方法

张敬安, 王雷涛, 王鹏

许继集团有限公司 许昌 461000

Power Quality Detection and Compensation Method of AC/DC Hybrid Distribution Network

Zhang Jingan, Wang Leitao, Wang Peng

XJ Group Corporation Xuchang 461000 China

收稿日期: 2018-05-29   网络出版日期: 2018-09-25

基金资助: 国网科技项目:适应高渗透率分布电源接入的配电网继电保护技术研究

Received: 2018-05-29   Online: 2018-09-25

作者简介 About authors

张敬安 男 1968年生,高级工程师,主要从事电力系统自动化、分布式发电与微电网技术开发工作。

王雷涛 男 1979年生,硕士,高级工程师,主要研究方向为主动配电网技术、电力系统保护与控制等。

摘要

随着配电网中分布式电源接入的渗透率越来越高,配电网结构越来越复杂,运行方式也复杂多变,配电网中的电能质量问题也日趋突出,电压电流畸变情况较为严重。文章采用基于瞬时无功功率理论的ip-iq改进算法,对交流侧配电网中谐波、无功及负序电流分量进行实时补偿检测;采用PI控制器与重复控制器的串联结构对各次谐波进行补偿控制,产生与其大小相等、方向相反的电流注入线路,使线路中电流趋于正弦化,以抵消谐波、无功的不良影响。通过装置样机实验验证了所提方法的有效性。

关键词: 分布式电源 ; 电能质量 ; ip-iq ; PI控制器与重复控制器 ; 补偿检测 ; 补偿控制

Abstract

With the increasing number of distributed generation connecting to the distribution network, the network structure is becoming more and more complex. the network also becomes more flexible to operation, power quality problems in distribution network is becoming more and more complicated situation, voltage and current distortion is serious. In this paper an improved detection algorithm based on instantaneous reactive power theory is presented, this algorithm which is based on ip-iq method can detect the reactive power and negative sequence compensation of random harmonic current respectively in real time. The series structure of PI controller and repetitive controller is used to control the harmonics to produce an current injection line that is equal in magnitude and opposite in direction, so that the current in the line tends to be sinusoidal to cancel the harmonic and reactive influences. The effectiveness of the proposed method is verified by the prototype experiment.

Keywords: Distributed generation ; power quality ; ip-iq ; PI controller and repetitive controller ; compensation detection ; compensation control

PDF (2200KB) 元数据 多维度评价 相关文章 导出 EndNote| Ris| Bibtex  收藏本文

本文引用格式

张敬安, 王雷涛, 王鹏. 交直流混合配电网电能质量综合检测和补偿方法. 电气工程学报[J], 2018, 13(9): 38-43 doi:10.11985/2018.09.007

Zhang Jingan. Power Quality Detection and Compensation Method of AC/DC Hybrid Distribution Network. Journal of Electrical Engineering[J], 2018, 13(9): 38-43 doi:10.11985/2018.09.007

1 引言

近年来,在国家政策的大力推动下,我国风电、太阳能等可再生能源发电技术迅速发展,装机容量持续快速增长,配电网中分布式电源接入的渗透率也越来越高,配电网结构越来越复杂,电能质量问题也日趋严重[1,2,3]。高密度分布式电源接入的配电网运行方式与网络性质具有自身的特殊性,大量电力电子装置的使用、种类繁多的分布式电源的接入、运行模式的变化、微电源的运行控制方法和微电源之间的相互作用等都会影响到接入的配电网的电能质量,因此对高密度分布式电源接入配电网的电能质量检测、控制与大电网相比更加复杂和困难。

电能质量的补偿效果在很大程度上取决于电参量信号的检测和控制,谐波检测是实现谐波抑制功能的前提,而快速准确的谐波检测和补偿直接影响到电能质量治理的效果。目前主要的谐波检测方法有:傅里叶算法和FFT算法、正弦信号法、瞬时无功功率法、小波变换法、神经网络法以及自适应预测技术等电能质量谐波检测方法。本文研究了高渗透率分布式电源接入的配电网交流就地侧电能质量综合治理检测和补偿控制方法,该方法用于补偿负载的谐波、无功及不平衡分量,以达到改善电能质量的目的。本文采用一种改进型的ip-iq正负序基波分量及各次谐波分量检测方法,实现对交流侧配电网基波正序、基波负序及各次谐波无功电流的实时准确地分离,该方法对ip-iq谐波无功检测算法进行改进,加入各次谐波负序的检测通道,提高了检测精度;采用改进型的重复控制器,将PI控制器和重复控制器二者的优点结合起来进行高密度接入的配电网中各次谐波、负序及无功电流的闭环控制,从而形成优势互补。通过研制装置样机实验验证,证明了补偿电流检测和控制方法的有效性。

2 补偿电流的检测

2.1 瞬时无功功率原理

目前普遍采用的补偿电流检测算法为基于瞬时无功功率理论的ip-iq谐波无功检测算法[4],瞬时无功功率理论的提出始于20世纪80年代,由赤木泰文提出,该理论突破了传统的以平均值为基础的功率定义,系统地定义了瞬时无功功率、瞬时有功功率等瞬时功率量。αβ坐标系中的电压、电流矢量如图1所示。

图1

图1   αβ 坐标系中的电压、电流矢量图

Fig.1   Voltage and current vector in αβ coordinate system


假设三相电路的电压电流瞬时值分别为ea,eb,ec,ia,ib,ic。然后把它们变换到α、β两相正交的坐标系上得到两相瞬时电压eα,eβ及两相瞬时电流iα,iβ,即

式中

三相电路瞬时无功功率q和瞬时有功功率p

将其反变换,在时间坐标下的三相有功电流、无功电流与αβ坐标下的有功电流与无功电流存在以下关系

式中,C23 = CT32

基于瞬时无功功率理论的算法原理如图2所示,其中LPF为一阶低通滤波器,截止频率为50Hz。

图2

图2   ip-iq 谐波检测法原理图

Fig.2   Schematic diagram for ip-iq harmonic detection method


2.2 补偿电流的检测

基于瞬时无功功率理论的谐波检测首先对要检测的三相电流进行采样,将其变换到αβ两相坐标下,然后做相应的变换得到其对应的功率量,再通过一个低通滤波器滤除交流分量[5],得到所需要的直流分量,最后通过反变换得到基波电流,将采样得到的电流信号减去基波电流,即是所需要检测和补偿的谐波电流[6]

本文将对不平衡负载情况下谐波电流的检测思路应用到交直流混合配电网交流侧的电流检测中,A/D采样的三相电流信号经过以ωt的角速度旋转变换后,基波正序分量变为直流,基波负序分量变为2阶次,即交流侧配电网产生的负序电流分量以二倍频波动。

为实现对基波正序、基波负序及各次谐波无功电流的实时准确地分离,采用考虑负序分量的ip-iq检测法,即对ip-iq谐波无功检测算法进行改进,加入各次谐波负序的检测通道。将静止的abc坐标系下瞬时A/D采样的交流侧配电网三相电流变换到n次谐波对应的dq-n坐标系下,n次谐波分量变换为直流分量,其他分量仍为交流分量。A/D采样信号通过以-ωt旋转的dq变换后,基波负序转换为直流分量id2iq2,此分量再通过以-ωt旋转的 2/2 变换后,得到id2iq2;A/D采样信号通过以ωt进行旋转的dq变换后,基波正序转换为直流分量idiq。采用同样的方法,得到各次谐波的负序分量和正序分量,也可得到不含基波负序的所有次谐波idhiqh。其中2/2 变换的矩阵如下:

式中

此补偿电流检测算法流程图如图3所示,可以实现对交直流配电网交流侧基波正序、基波负序及各次谐波分量的检测。电流环的加入也可以抑制电网电压畸变对指令电流检测的影响。

图3

图3   补偿电流检测方法流程图

Fig.3   Detection method program for compensation current


3 补偿电流的控制

补偿电流的控制直接关系到补偿后电能质量的优劣,PI控制器和重复控制器是电能质量治理中常采用的控制方法[7,8,9],这两种控制方法在性能上各有优缺点,在对谐波电流的跟踪精度上重复控制器优于PI控制器,但由于重复控制器按工频周期进行“积分”补偿,所以在第一个周期中,重复控制器实际上是不工作的。本文基于改进型的重复控制器,将PI控制器和重复控制器二者的优点结合起来进行高密度接入的配电网中各次谐波、负序及无功电流的闭环控制,从而形成优势互补。

PI控制器和重复控制器相结合的控制从大的结构方面主要分为两类:一类是PI控制器与重复控制器并联结构;另一类是PI控制器与重复控制器串联结构。并联结构中PI控制器与重复控制器并联,设计彼此不干涉,相对简单,但由于分开设计,无法发挥两者的结合优势。因此采用PI控制器与重复控制器的串联结构。

重复控制结构框图如图4所示,大虚线框中的即为整个重复控制器。小虚线框中的Q(z)z-N组成的正反馈结构为重复内模,z-N为周期延迟环节,S(z)为补偿器。其中,周期延迟环节为控制对象的相位校正提供先决条件。补偿器S(z)对控制对象Gp(z)进行幅值和相位校正,它的设计对重复控制系统的稳定性和准确性有重要的影响。

图4

图4   重复控制结构框图

Fig.4   Structure diagram for repetitive controller


可以得出重复控制系统的离散域闭环传递函数为

误差传递函数为

将式(6)写成频谱函数形式为

重复控制器的设计归纳为以下几个步骤:

(1)设计补偿器S(z),将控制对象的低频段校正为0dB。

(2)设计补偿器S(z),使控制对象的高频段尽可能地衰减。

(3)设计超前环节zk,使控制对象的低频段校正为0°。

(4)根据校正后系统的奈奎斯特图,确定系数Q(z)的值。

图5给出了改进优化后的PI+重复控制的串联控制结构图。内环为PI控制器与被控对象串联而成,采用PI控制器作为内环,可以充分利用PI控制器动态响应快的优点,并且PI控制器的内环是以闭环的整体形式与前面的重复控制器串联的。采用适当的PI控制器参数,可以将复合控制系统的PI控制器内环的闭环控制校正到低频段为0dB,这样就可以省去微分控制器的设计,从而降低设计复杂度。另外还引入了电流输入端前馈,将指令信号R(z)直接馈入PI控制器电流内环,充分利用电流内环的快速性。

图5

图5   PI+ 重复控制的串联控制结构图

Fig.5   Series control structure diagram for PI+ repetitive controller


采用PI控制器的电流内环在低频段基本达到了0dB的要求,采用二阶巴特沃斯低通滤波器对系统的高频段进行衰减。图6为加入二阶巴特沃斯低通滤波器后的电流内环的伯德图。由图可见,在2.5kHz以下的波段,系统的幅频特性曲线被很好地校正到了0dB线。当采用4拍超前后,系统的相频特性曲线可以被很好地校正。

图6

图6   加入超前环节的电流内环的伯德图

Fig.6   Current inner ring bode diagram after adding advanced link


图7为采用双环控制的系统的奈奎斯特图,从图中可以看出,整个奈奎斯特图包围在圆心为(0.95,0j)的单位圆内。因此系统满足小增益原理的稳定性充分条件。

图7

图7   双环控制系统的奈奎斯特图

Fig.7   Nyquist diagram for double loop control system


电能质量治理装置采用PI控制器与重复控制器的串联结构[10,11],对补偿电流各次谐波分量进行有效控制,装置依据此指令信号发出与其大小相等、相位相反的电流注入线路,使线路中电压电流趋于正弦化,以抵消谐波、无功的不良影响。

4 实验验证

通过研制交直流混合配电网电能质量综合治理装置样机对本文提出的补偿电流检测方法和控制方法进行了实验验证,测得待测点电流谐波(1~21次)治理数据见下表。

Tab1   Comparison table for harmonic harness result from point-to-be-tested (单位:A)

谐波
次数
1234567
治理前22.900 10.003 90.029 00.000 42.851 70.003 81.940 1
治理后23.102 00000.326 000.210 1
谐波
次数
891011121314
治理前0.003 90.032 80.003 91.482 00.000 40.820 00.000 3
治理后0000.190 200.210 30
谐波
次数
15161718192021
治理前0.045 00.002 90.498 00.000 30.395 00.000 20.063 2
治理后000.089 000.090 000

新窗口打开| 下载CSV


由上表可知,电能质量综合治理装置投入前谐波含量较大,远远超出国家标准规定的5%的相关要求。待测点电能质量综合治理装置投入前电流波形如图8所示,从波形图中可以看出,补偿前电网电流严重畸变。

图8

图8   待测点治理前电流波形

Fig.8   Current waveform before harness from point-to-betested


采用PI控制器和重复控制器相结合的补偿电流控制方法,电能质量综合治理装置投入后测得电流畸变为2.98%,低于国家标准规定的5%的相关要求。待测点电能质量综合治理装置投入后电流波形如图9所示。从波形图中可以看出,补偿后电网电流明显趋于正弦,电能质量得到明显改善。

图9

图9   待测点治理后电流波形

Fig.9   Current waveform after harness from point-to-be-tested


5 结论

高渗透率分布式电源接入的配电网运行方式复杂多变,电流畸变情况较为严重,本文结合交直流混合微电网的特点针对并离网运行模式交流侧波形特征,提出了采用基于瞬时无功功率理论的ip-iq改进算法,实现对交直流混合配电网交流侧产生的基波正序、基波负序及各次谐波分量的检测;采用PI控制器与重复控制器的串联结构对各次谐波进行补偿控制,产生与其大小相等、方向相反的电流注入线路,使线路中电流趋于正弦化,以抵消谐波、无功的不良影响,综合两种控制策略的优点,可以实现补偿电流的快速准确跟踪。通过装置样机验证了所提补偿电流检测和控制方法的有效性。

参考文献

韩民晓, 代双寅 .

分布式电源并网中电能质量及相关标准探讨

[J]. 中国标准化, 2010(12):28-32.

[本文引用: 1]

Han Minxiao, Dai Shuangyin .

Power quality in power grid and related standards in distributed resource

[J]. China Standardization, 2010(12):28-32.

[本文引用: 1]

董森森, 武振宇, 高自力 , .

10kV高压电能质量在线监测装置的研究现状及发展方向

[J]. 电气技术, 2016,17(9):1.

URL     [本文引用: 1]

从高压侧进行电能质量在线监测的需求日益增强。针对此现状,本文研究了各种高压在线监测装置的优缺点,提出了高压在线监测装置的发展方向及其核心技术,并对各种装置及核心元器件的国内外研究现状进行了介绍。

Dong Sensen, Wu Zhenyu, Gao Zili , et al.

Research status and development trend of 10kV high voltage power quality on-line monitoring device

[J]. Electrical Engineering, 2016,17(9):1.

URL     [本文引用: 1]

从高压侧进行电能质量在线监测的需求日益增强。针对此现状,本文研究了各种高压在线监测装置的优缺点,提出了高压在线监测装置的发展方向及其核心技术,并对各种装置及核心元器件的国内外研究现状进行了介绍。

许林, 曾意, 郭珂 , .

具有电能质量调节功能的光伏并网系统研究进展

[J]. 电力系统保护与控制, 2012,40(9):137-145.

DOI:10.7667/j.issn.1674-3415.2012.09.025      URL     [本文引用: 1]

Xu Lin, Zeng Yi, Guo Ke , et al.

Development of photovoltaic grid-connected system with power quality regulatory function

[J]. Power System Protection and Control, 2012,40(9):137-145.

DOI:10.7667/j.issn.1674-3415.2012.09.025      URL     [本文引用: 1]

汪宝, 匡洪海, 郑丽平 , .

分布式发电与配电网的协调发展与技术展望

[J]. 电气技术, 2017,18(3):5-9.

[本文引用: 1]

Wang Bao, Kuang Honghai, Zheng Liping , et al.

Prospect over the techniques and coordinated development of distributed generation and distribution network

[J]. Electrical Engineering, 2017,18(3):5-9.

[本文引用: 1]

何英杰, 刘进军, 王兆安 , .

一种基于瞬时无功功率理论的数字谐波检测

[J]. 电工技术学报, 2010,25(8):185-192.

URL     [本文引用: 1]

The choice of the cut-off frequency reflects a tradeoff between maladjustment and the speed of dynamic response in the conventional detection method based on instantaneous reactive power theory. The paper proposes a novel digital real-time algorithm for detecting harmonic currents. This algorithm adopts a new variable step size least mean square(LMS) adaptive filter as LPF on harmonic detection circuit. The step-size is large when the algorithm is far from the optimum with decreasing as it approaches the optimum. The proposed algorithm allows more flexible control of misadjustment and fast convergence rate without the need to compromise one for the other. Meanwhile approximate theoretical expressions for the behavior of the algorithm are derived. The additional calculation is very little, so the algorithm presented is easy to implement. Simulation and experiment results illustrate that the performance of the proposed approach is satisfactory.

He Yingjie, Liu Jinjun, Wang Zhaoan , et al.

A digital method for detecting harmonic currents based on instantaneous reactive power theory

[J]. Transactions of China Electrotechnical Society, 2010,25(8):185-192.

URL     [本文引用: 1]

The choice of the cut-off frequency reflects a tradeoff between maladjustment and the speed of dynamic response in the conventional detection method based on instantaneous reactive power theory. The paper proposes a novel digital real-time algorithm for detecting harmonic currents. This algorithm adopts a new variable step size least mean square(LMS) adaptive filter as LPF on harmonic detection circuit. The step-size is large when the algorithm is far from the optimum with decreasing as it approaches the optimum. The proposed algorithm allows more flexible control of misadjustment and fast convergence rate without the need to compromise one for the other. Meanwhile approximate theoretical expressions for the behavior of the algorithm are derived. The additional calculation is very little, so the algorithm presented is easy to implement. Simulation and experiment results illustrate that the performance of the proposed approach is satisfactory.

梅红明, 王一, 刘建政 .

采用网侧电流闭环控制的电能质量综合补偿方法

[J]. 电网技术, 2013,37(8):2368-2375.

URL     [本文引用: 1]

In synchronous rotating coordinate systems corresponding to various orders of harmonics, the proportion integration (PI) regulators are used to compensate various orders of harmonics by closed-loop control of grid-side current to effectively eliminate the affections of sampling precision, control system delay, dead zone of pulse width modulation (PWM) on compensation effect to implement the control with zero steady-state error. On this basis, in allusion to the stability of active power filter when shunt capacitor is contained in the load, the analysis is performed by equivalent system. By adopting order-based closed-loop control, a solution that is simple and easy to realize is given. Results of digital simulation and physical experiments show that the proposed control method is effective.

Mei Hongming, Wang Yi, Liu Jianzheng .

A comprehensive power quality compensation method based on feedback control of grid-side current

[J]. Power System Technology, 2013,37(8):2368-2375.

URL     [本文引用: 1]

In synchronous rotating coordinate systems corresponding to various orders of harmonics, the proportion integration (PI) regulators are used to compensate various orders of harmonics by closed-loop control of grid-side current to effectively eliminate the affections of sampling precision, control system delay, dead zone of pulse width modulation (PWM) on compensation effect to implement the control with zero steady-state error. On this basis, in allusion to the stability of active power filter when shunt capacitor is contained in the load, the analysis is performed by equivalent system. By adopting order-based closed-loop control, a solution that is simple and easy to realize is given. Results of digital simulation and physical experiments show that the proposed control method is effective.

朱晓娟, 胡海涛, 陶海东 , .

光伏并网系统的谐波不稳定产生机理及影响规律

[J]. 电工技术学报, 2017,32(10):33-41.

[本文引用: 1]

Zhu Xiaojuan, Hu Haitao, Tao Haidong , et al.

The mechanism and influence of harmonic instability for photovoltaic grid-connected system

[J]. Transactions of China Electrotechnical Society, 2017,32(10):33-41.

[本文引用: 1]

孙孝峰, 曾健, 李宁宁 , .

并联有源滤波器网侧谐波电流反馈控制

[J]. 电工技术学报, 2012,27(10):150-154.

URL     [本文引用: 1]

The active power filter based on supply-side current detection is better than load current detection in harmonic compensation, while the application is rare because it has worse stability. The system is a closed-loop system because the feedback is supply-side current, including the transfer function producing resonance in the closed-loop. Using proper correction method can suppress the resonance, and the stability margin can be improved by adding phase lead correction to the system. However, after adding phase lead correction to the system, gain of low frequency band is low while increasing the phase margin, limit the improvement of compensation effect. This paper adds selective filter and proportion link to increase gain of specific frequency, which can increase the gain of low frequency band while increasing the phase margin. Its effectiveness is verified by the experiment results.

Sun Xiaofeng, Zeng Jian, Li Ningning , et al.

Improvement for the closed-loop control of shunt active power filter based on Feedback of supply-side current

[J]. Transactions of China Electrotechnical Society, 2012,27(10):150-154.

URL     [本文引用: 1]

The active power filter based on supply-side current detection is better than load current detection in harmonic compensation, while the application is rare because it has worse stability. The system is a closed-loop system because the feedback is supply-side current, including the transfer function producing resonance in the closed-loop. Using proper correction method can suppress the resonance, and the stability margin can be improved by adding phase lead correction to the system. However, after adding phase lead correction to the system, gain of low frequency band is low while increasing the phase margin, limit the improvement of compensation effect. This paper adds selective filter and proportion link to increase gain of specific frequency, which can increase the gain of low frequency band while increasing the phase margin. Its effectiveness is verified by the experiment results.

崔浩, 舒朝君, 陈言 .

基于瞬时无功功率理论的谐波检测和抑制的模型参考自适应控制系统

[J]. 电测与仪表, 2017,54(4):6-10.

DOI:10.1021/acs.inorgchem.9b02917      URL     PMID:31774662      [本文引用: 1]

Perovskite-type oxynitride BaTaO2N has been attracting attention for its large dielectric constant, which is almost independent of the temperature by measurements on its ceramics. Its dielectric characteristics are attributed to polar nanoregions (PNRs) in the average cubic crystal structure. Polarization saturation to produce a butterfly-like piezoresponse force microscopy (PFM) signal was observed on BaTaO2N crystals in the present study. Reddish crystallites of BaTaO2N of up to 3.1 μm in size were grown using a BaCN2 flux. Grain growth proceeded through the formation of a Ruddlesden-Popper-type oxynitride from the reaction between BaTaO2N powder and molten BaCN2. Their electrical property was studied using PFM with special care because of the small size of the crystals. They were found to be much more highly insulating than its ceramics. Ferroelectricity with complete phase inversion was observed on an oxynitride perovskite crystal for the first time. A large coercivity of 50-60 V was observed in the measurement. Such ferroelectricity is ascribed to the PNRs induced by the polar linkages between cis-type TaO4N2 octahedra.

Cui Hao, Shu Chaojun, Chen Yan .

Model reference seif-adaptive control system of harmonic detection and suppression based on instantaneous reactive power theory

[J]. Electrical Measurement & Instrumentation, 2017,54(4):6-10.

DOI:10.1021/acs.inorgchem.9b02917      URL     PMID:31774662      [本文引用: 1]

Perovskite-type oxynitride BaTaO2N has been attracting attention for its large dielectric constant, which is almost independent of the temperature by measurements on its ceramics. Its dielectric characteristics are attributed to polar nanoregions (PNRs) in the average cubic crystal structure. Polarization saturation to produce a butterfly-like piezoresponse force microscopy (PFM) signal was observed on BaTaO2N crystals in the present study. Reddish crystallites of BaTaO2N of up to 3.1 μm in size were grown using a BaCN2 flux. Grain growth proceeded through the formation of a Ruddlesden-Popper-type oxynitride from the reaction between BaTaO2N powder and molten BaCN2. Their electrical property was studied using PFM with special care because of the small size of the crystals. They were found to be much more highly insulating than its ceramics. Ferroelectricity with complete phase inversion was observed on an oxynitride perovskite crystal for the first time. A large coercivity of 50-60 V was observed in the measurement. Such ferroelectricity is ascribed to the PNRs induced by the polar linkages between cis-type TaO4N2 octahedra.

Saikia L C, Borah S M, Pait S.

Detection and classification of power quality disturbances using wavelet transform and neural network

[C]. IEEE Annual India Conference, 2010.

[本文引用: 1]

Chen D, Zhang J, Qian Z .

An improved repetitive control scheme for grid-connected inverter with frequency-adaptive capability

[J]. IEEE Transactions of Industrial Electrononics, 2013,60(2):814-823.

[本文引用: 1]

/