交直流混合配电网电能质量综合检测和补偿方法
许继集团有限公司 许昌 461000
Power Quality Detection and Compensation Method of AC/DC Hybrid Distribution Network
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: |
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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。
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:
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:
本文引用格式
张敬安, 王雷涛, 王鹏.
Zhang Jingan.
1 引言
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
图1
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为
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
2.2 补偿电流的检测
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id2、iq2,此分量再通过以-ωt旋转的 2/2 变换后,得到i′d2、i′q2;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id、iq。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idh、iqh。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
3 补偿电流的控制
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
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
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 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
---|---|---|---|---|---|---|---|
治理前 | 22.900 1 | 0.003 9 | 0.029 0 | 0.000 4 | 2.851 7 | 0.003 8 | 1.940 1 |
治理后 | 23.102 0 | 0 | 0 | 0 | 0.326 0 | 0 | 0.210 1 |
谐波 次数 | 8 | 9 | 10 | 11 | 12 | 13 | 14 |
治理前 | 0.003 9 | 0.032 8 | 0.003 9 | 1.482 0 | 0.000 4 | 0.820 0 | 0.000 3 |
治理后 | 0 | 0 | 0 | 0.190 2 | 0 | 0.210 3 | 0 |
谐波 次数 | 15 | 16 | 17 | 18 | 19 | 20 | 21 |
治理前 | 0.045 0 | 0.002 9 | 0.498 0 | 0.000 3 | 0.395 0 | 0.000 2 | 0.063 2 |
治理后 | 0 | 0 | 0.089 0 | 0 | 0.090 0 | 0 | 0 |
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
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
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。
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