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ISSN 0254-0096 CN 11-2082/K

太阳能学报 ›› 2022, Vol. 43 ›› Issue (10): 21-28.DOI: 10.19912/j.0254-0096.tynxb.2021-0455

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准PR调节下单相光伏并网逆变器的非线性研究

陶慧, 赵世彬, 贾春华   

  1. 河南理工大学电气工程与自动化学院,焦作 454000
  • 收稿日期:2021-04-26 出版日期:2022-10-28 发布日期:2023-04-28
  • 通讯作者: 陶慧(1979——),女,博士、副教授,主要从事电力电子电路与系统的建模、分析与控制方面的研究。65724138@qq.com
  • 基金资助:
    国家自然科学基金(U1804143)

NONLINEAR RESEARCH OF SINGLE-PHASE PHOTOVOLTAIC GRID-CONNECTED INVERTER WITH QUASI PR CONTROLLER

Tao Hui, Zhao Shibin, Jia Chunhua   

  1. School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo 454000, China
  • Received:2021-04-26 Online:2022-10-28 Published:2023-04-28

摘要: 调节下单相LCL型光伏并网逆变器为研究对象,利用频闪映射法推导系统的离散迭代模型。通过分岔图和Matlab/Simulink仿真描述系统随电路参数变化由稳定到混沌状态的演变过程。采用雅可比矩阵法对系统的稳定性进行理论分析,得到系统在双分岔参数以及三分岔参数下的稳定工作域,并根据不同参数下的雅可比矩阵特征值确定系统的分岔类型以及失稳后的振荡频率。最后通过物理实验得到并网电流的实时波形,进一步验证了理论分析的正确性。

关键词: 光伏发电, 并网逆变器, Hopf分岔, 雅可比矩阵, 准比例谐振, 离散迭代模型

Abstract: Taking the quasi PR controller single-phase LCL photovoltaic grid-connected inverter as the research object, the discrete iterative model of the system is derived by using the stroboscopic mapping method. Through bifurcation diagram and Matlab/Simulink simulation, the evolution process of the system from stable state to chaotic state with the change of circuit parameters is described. The Jacobian matrix method is used to analyze the stability of the system, and the stable working regions of the system under two bifurcation parameters and three bifurcation parameters are obtained. According to the eigenvalues of Jacobian matrix under different parameters, the bifurcation type and the oscillation frequency after instability are determined. Finally, the real-time waveform of grid-current is obtained through physical experiments, which further verifies the correctness of the theoretical analysis.

Key words: PV power, grid-connected inverters, Hopf bifurcation, Jacobian matrices, quasi PR, discrete model

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