基于PID参数的时滞电力系统稳定性研究  

Research on Stanility of Power System with Time Delay Based on PID Parameters

作　　者：刘晓桂 周湘杰 蒋逢灵[1] 刘小勇[2] LIU Xiaogui;ZHOU Xiangjie;JIANG Fengling;LIU Xiaoyong(College of Railway Power Supply and Electrical Engineering,Hunan Vocational College of Railway Technology,Zhuzhou 412006;College of Rail Transit Electric Technology,Hunan Railway Professional Technology College,Zhuzhou 412001)

机构地区：[1]湖南铁路科技职业技术学院铁道供电与电气学院,株洲412006 [2]湖南铁道职业技术学院轨道交通电务技术学院,株洲412001

出　　处：《电气工程学报》2023年第4期268-277,共10页Journal of Electrical Engineering

基　　金：湖南省科技创新计划(2022RC1097);湖南省教育厅科研(21C1322);湖南铁路科技职业技术学院院级科研(HNTKY-KT-2022-10);湖南省自然科学基金(2022JJ60009);湖南省教育厅科学研究(21C1302)资助项目。

摘　　要：基于Lyapunov-Krasovskii泛函稳定理论分析方法,探讨了系统矩阵中含PID参数的时滞电力系统稳定性问题。首先,针对含PID参数的时滞电力系统数学模型进行了分析与构建。其次,通过构造时滞乘积型Lyapunov-Krasovskii泛函,并应用扩展的逆凸二次不等式方法对泛函导数中的逆凸项进行界定,从而推导出一个新的稳定性判据。最后,采用数值算例进行试验仿真,分析了在定常时滞、时变时滞情况下,PI控制增益与系统时滞稳定裕度之间的关系。试验仿真结果表明,所提出的稳定性判据较其他类似工作具备明显的优越性。Based on the Lyapunov-Krasovskii functional stability theory analysis method,the stability problem of delayed power systems with PID parameters in the system matrix is discussed.Firstly,the mathematical model of delayed power system with PID parameters is analyzed and constructed.Secondly,a new stability criterion is derived by constructing a delay-product-type Lyapunov-Krasovskii functional and an extended inverse convex quadratic inequality method is applied to define the inverse convex terms in the derivatives of the functional.Finally,experimental simulations are conducted using numerical example to analyze the relationship between the PI control gain and the system time delay stability margin under constant and time-varying delays.The experimental simulation results show that the stability criterion proposed has obvious advantages over other similar works.

关 键 词：负荷频率控制 时滞 LYAPUNOV-KRASOVSKII泛函 稳定性 

分 类 号：TM73[电气工程—电力系统及自动化]