考虑限流的基于多李雅普诺夫法的虚拟同步机暂态稳定判据  

Transient stability criterion of a virtual synchronous generator with current limiting using the multiple Lyapunov functions method

作　　者：朱誉 屠增泽 余达 刘菁锐 李佳朋 李宇骏 ZHU Yu;TU Zengze;YU Da;LIU Jingrui;LI Jiapeng;LI Yujun(Dispatching and Control Center,Guangdong Power Grid Company Limited,Guangzhou 130012,China;School of Electrical Engineering,Xi’an Jiaotong University,Xi’an 710049,China)

机构地区：[1]广东电网有限责任公司电力调度控制中心,广东广州130012 [2]西安交通大学电气工程学院,陕西西安710049

出　　处：《电力系统保护与控制》2025年第3期120-129,共10页Power System Protection and Control

基　　金：南方电网公司科技项目资助(036000KK52220018(GDKJXM20220249));国家自然科学基金项目资助(52277122)。

摘　　要：在考虑电流限幅策略的虚拟同步机并网的暂态同步问题中,传统方法构建的系统模型是基于电流幅值的代数变量切换规则,难以对失稳机理进行解析分析,且所提判据保守性也较大。针对此问题,以限流不等式为切入点,构建了所研究系统基于状态变量的切换模型。并提出了基于多李雅普诺夫方法的暂态稳定判据,即当各子系统的李雅普诺夫函数在两个连续切换区间内呈减小趋势时,所研究系统能够保持稳定。最后,提出了一种限流参数的设置方法使得系统具有最大稳定边界。仿真结果表明,所提判据相比等面积法具有更小的保守性,并验证了所提结论的有效性。In addressing the transient synchronization issue of grid-connected virtual synchronous generator considering current limiting strategies,traditional methods often rely on algebraic variable switching rules based on current amplitude.These methods make it difficult to analytically analyze the instability mechanisms,and the proposed criteria are also quite conservative.To tackle these issues,this paper introduces a switching model based on state variables using current limiting inequalities as a starting point.A transient stability criterion based on the multiple Lyapunov method is then proposed.This states that the system can remain stable if the Lyapunov functions of each subsystem exhibit a decreasing trend over two consecutive switching intervals.Finally,a method for setting the current limiting parameters is presented to maximize the system’s stability boundary.Simulation results demonstrate that the proposed criteria are less conservative than the equal-area method,and the effectiveness of the conclusions drawn in this paper is verified.

关 键 词：虚拟同步机 电流限幅 相角切换模型 多李雅普诺夫函数 饱和电流角 

分 类 号：TM712[电气工程—电力系统及自动化] TM46