不平衡电网电压下MMC-UPQC的Lyapunov函数控制方法  

Research on Lyapunov Function Control Method of MMC-UPQC Under Unbalanced Grid Voltage

作　　者：莫栋成 程启明 陈颖 苏玉军 MO Dongcheng;CHENG Qiming;CHEN Ying;SU Yujun(Applied Technology College,Soochow University,Suzhou 215325,China;School of Management,University of Shanghai for Science and Technology,Shanghai 200093,China;School of Automation Engineering,Shanghai University of Electric Power,Shanghai 200090,China;State Key Laboratory of Nuclear Power Safety Monitoring Technology and Equipment,China Guang-dong Nuclear Engineering Co.,Ltd.,Shenzhen 518172,China)

机构地区：[1]苏州大学应用技术学院,苏州215325 [2]上海理工大学管理学院,上海200093 [3]上海电力大学自动化工程学院,上海200090 [4]中广核工程有限公司核电安全监控技术与装备国家重点实验室,深圳518172

出　　处：《高电压技术》2023年第3期1284-1293,共10页High Voltage Engineering

基　　金：国家自然科学基金(61905139);上海市电站自动化技术重点实验室项目(13Z2273800)。

摘　　要：统一电能质量控制器(UPQC)结合模块化多电平换流器(MMC)而成的MMC-UPQC系统能够解决高压下电能质量问题,但目前MMC-UPQC常用PID等线性控制来补偿电流和电压,但因MMC-UPQC为非线性、多变量对象,因此,PID等线性控制难以得到满意的补偿效果。为此,提出将非线性Lyapunov函数控制用于MMC-UPQC电流和电压的补偿控制。首先,对不平衡电网下MMC-UPQC进行数学建模;接着,对不平衡电网下MMC-UPQC的电气量进行正负序分离;然后,将提出的Lyapunov函数控制用于不平衡电网下MMC-UPQC的电能质量补偿,并证明了Lyapunov函数控制系统的稳定性,推出了Lyapunov函数控制增益的稳定范围;最后,在仿真系统平台上对Lyapunov函数控制和传统PID控制两种方法进行仿真实验比较,仿真结果验证了Lyapunov函数控制方法能够更好地补偿MMC-UPQC电流和电压的电能质量。The MMC-UPQC system formed by unified power quality controller(UPQC)and modular multi-level con-verter(MMC)can be used for the compensation control of current and voltage at medium and high voltage and high power.However,at present,the MMC-UPQC generally adopts PID linear control methods to carry out the compensation control of current and voltage.The MMC-UPQC is a nonlinear and multivariable object,thus linear control methods such as PID are difficult to obtain satisfactory compensation quality.Therefore,this paper proposes a nonlinear Lyapunov function control method for compensation control of MMC-UPQC current and voltage under unbalanced grid voltages.First,mathematically model for MMC-UPQC under unbalanced power grid is established;next,the positive and negative sequences of electrical quantities on series and parallel sides of MMC-UPQC under unbalanced grid are separated;the Lyapunov function control method is used for power quality compensation of MMC-UPQC under unbalanced grid volt-age,the stability of Lyapunov function control system is proved,and the stable range of Lyapunov function control gain is introduced.Finally,the two methods of Lyapunov function control and traditional PID control are compared on the simu-lation system platform.The simulation results verify that the Lyapunov function control method can be adopted to better compensate the power quality of MMC-UPQC current and voltage.

关 键 词：不平衡电网电压 统一电能质量控制器 模块化多电平换流器 Lyapunov函数控制 PID控制 

分 类 号：TM711[电气工程—电力系统及自动化]