考虑控制时滞的构网型逆变器稳定性分析  

Stability analysis of grid-forming inverters system under time delay

作　　者：龚砚 赵平 杜龙[1] 李振兴 Gong Yan;Zhao Ping;Du Long;Li Zhenxing(College of Electrical Engineering and New Energy,China Three Gorges University,Yichang 443002,China;Hubei Provincial Key Laboratory for Operation and Control of Cascaded Hydropower Station,China Three Gorges University,Yichang 443002,China)

机构地区：[1]三峡大学电气与新能源学院,宜昌443002 [2]三峡大学梯级水电站运行与控制湖北省重点实验室,宜昌443002

出　　处：《国外电子测量技术》2024年第10期179-189,共11页Foreign Electronic Measurement Technology

基　　金：国家自然科学基金(52077120)项目资助。

摘　　要：构网型控制能够为系统提供惯量支撑,提高系统稳定性,然而构网型控制依托于数字控制技术,存在控制时滞问题,会对系统稳定性造成一定影响。首先建立考虑控制时滞的构网型逆变器系统的状态空间模型,然后构造L-K(Lyapunov-Kra-sovskii)泛函,基于二阶Bessel-Legendre不等式处理L-K泛函求导过程中所产生的积分项,利用Lyapunov稳定性定理得到保守性更低的时滞稳定判据,进而通过线性矩阵不等式求解系统的时滞稳定裕度。仿真结果验证了方法求解时滞稳定裕度的正确性和有效性,且相较于其他方法具备更低的保守性,并进一步分析了控制参数对于无时滞系统和时滞系统稳定性的影响,给出了提高构网型逆变器系统时滞稳定性的措施。Grid-forming control can provide inertia support for the system and improve system stability.However,gridforming control relies on digital control technology and has control delay problems,which can have a certain impact on system stability.This paper first establishes a state space model of a networked inverter system considering control delay,and then constructs a Lyapunov-Krasovskii(L-K)functional.Based on the second-order Bessel Legendre inequality,the integral term generated during the derivative process of the L-K functional is processed.The Lyapunov stability theorem is used to obtain a delay stability criterion with lower conservatism,and the delay stability margin of the system is solved through linear matrix inequality.The simulation results have verified the correctness and effectiveness of the proposed method for solving time-delay stability margin,and compared with other methods,it has lower conservatism,and further analyzed the influence of control parameters on the stability of both non time delay systems and time delay systems.Measures to improve the time delay stability of grid-forming inverter systems have been proposed.

关 键 词：控制时滞 构网 状态空间 二阶Bessel-Legendre积分不等式 时滞稳定裕度 

分 类 号：TM614[电气工程—电力系统及自动化] TN79[电子电信—电路与系统]