| 引用本文: | 陶彩霞,陈庆花,田莉,任亚博,祁小艳.准PR调节下三相并网逆变器的分岔现象分析[J].电力系统保护与控制,2018,46(12):100-107.[点击复制] |
| TAO Caixia,CHEN Qinghua,TIAN Li,REN Yaobo,QI Xiaoyan.Bifurcation analysis of three-phase grid-connected inverters based on quasi PR controller[J].Power System Protection and Control,2018,46(12):100-107[点击复制] |
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| 准PR调节下三相并网逆变器的分岔现象分析 |
| 陶彩霞,陈庆花,田莉,任亚博,祁小艳 |
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| (兰州交通大学自动化与电气工程学院，甘肃 兰州 730070 ;兰州交通大学光电技术与智能控制教育部重点实验室，甘肃 兰州 730070) |
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| 摘要: |
| 分析了准比例谐振(PR)调节下三相LCL型并网逆变器的分岔现象。在两相静止坐标系下建立了其在正弦脉宽调制时的离散数学模型，对其在快时间尺度上的非线性行为进行了分析。通过分岔图法、Jacobian矩阵法等对其在不同参数下的稳定边界进行了预测，得出三相逆变电路的稳定运行域，并通过Matlab/Simulink仿真验证了理论分析的正确性。所得出的相关结论为准PR调节下的三相并网逆变电路的分析、设计和调试提供了参考。 |
| 关键词: 分岔 准比例谐振 三相并网逆变器 离散数学模型 分岔图 Jacobian矩阵 |
| DOI：10.7667/PSPC170859 |
| 投稿时间：2017-06-09修订日期：2017-07-28 |
| 基金项目:甘肃省自然科学基金项目资助(1610RJZA051) |
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| Bifurcation analysis of three-phase grid-connected inverters based on quasi PR controller |
| TAO Caixia,CHEN Qinghua,TIAN Li,REN Yaobo,QI Xiaoyan |
| (School of Automation & Electrical Engineering, Lanzhou Jiao Tong University, Lanzhou 730070, China;Key Laboratory of Opto-Technology and Intelligent Control Ministry of Education, Lanzhou Jiao Tong University, Lanzhou 730070, China) |
| Abstract: |
| The bifurcation of three-phase grid-connected inverters based on quasi Proportional-Resonant (PR) with LCL filter is analyzed. The discrete mathematical model of the three-phase inverters with sinusoidal pulse width modulation is established in two-phase stationary coordinate, and the nonlinear behavior on the fast time scale is analyzed. The stable boundary of the model under different parameters is predicted by the bifurcation diagram and Jacobian matrix, and the stable region of the three-phase inverter is obtained. The correctness of the theoretical results is verified by Matlab/Simulink. The conclusions of this paper provide reference for the analysis, design and debug of three-phase inverter based on the quasi PR regulator. This work is supported by Natural Science Foundation of Gansu Province (No. 1610RJZA051). |
| Key words: bifurcation quasi PR three-phase grid-connected inverters discrete mathematical model bifurcation diagram Jacobian matrix |
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