基于Poincaré映射的单相并网逆变器非线性动力学分析方法研究  

Research on Nonlinear Dynamics Analysis Method for Single-phase Grid Connected Inverters Based on PoincaréMapping

作　　者：汤晨煜 解大[1] 张延迟[2] 古丽扎提·海拉提 Tang Chenyu;Xie Da;Zhang Yanchi;Gulizati·FHailati(Shanghai Jiao Tong University,Shanghai 200240,China;Shanghai Institute of Electrical Engineering,Shanghai 200240,China;Xinjiang Engineering Institute,Urumqi Xinjiang 830023,China)

机构地区：[1]上海交通大学,上海200240 [2]上海电机学院,上海200240 [3]新疆工程学院,新疆乌鲁木齐830023

出　　处：《电气自动化》2024年第5期76-78,共3页Electrical Automation

摘　　要：近年来,并网逆变器作为电力系统与新能源的接口迅速发展,但目前线性化思想分析其稳定性问题的方法存在准确性不足的风险。为此,提出了一种基于Poincaré映射的单相并网逆变器非线性动力学分析方法。首先,考虑锁相环与电路的拓扑结构,建立系统的非线性状态空间模型;其次,根据系统的拓扑切换方式求解系统的Poincaré映射,并对系统雅可比矩阵进行特征值求解;最后,对不同电容参数下的系统进行了特征值计算与仿真分析,仿真结果证明了分析方法的有效性。所提方法可以准确预测系统的非线性动力学行为,为并网逆变器的参数设计与理论分析提供帮助。In recent years,the grid connected inverter has developed rapidly as an interface between the power system and new energy.However,the current method for analyzing the stability issues using linearization thinking poses a risk of insufficient accuracy.A nonlinear dynamic analysis method for single-phase grid connected inverter based on Poincarémapping was proposed for the purpose.Firstly,the topology of the phase-locked loop and the circuit was considered,and a nonlinear state space model of the system was established;secondly,the Poincarémapping of the system based on its topology switching method was solved,and then the eigenvalues of the Jacobian matrix of the system was solved;finally,eigenvalue calculation and simulation analysis on the system was performed under different capacitance parameters.The simulation results demonstrate the effectiveness of the analysis method,and the proposed method can accurately predict the nonlinear dynamic behavior of the system,providing assistance for the parameter design and theoretical analysis of grid connected inverters.

关 键 词：POINCARÉ映射 非线性 并网逆变器 锁相环 

分 类 号：TM464[电气工程—电器]