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带LCL滤波器的单相并网逆变器低频振荡现象分析
周 林, 龙崦平, 张 密, 晁 阳, 郑光辉
重庆大学 输配电装备及系统安全与新技术国家重点实验室,重庆 400030
摘要:
分析了带LCL滤波器的单相并网逆变器中出现的低频振荡现象。通过系统平均模型进行了MATLAB/Simulink仿真,发现随着调节系数的变化,系统由稳定状态出现了振荡现象。利用频闪映射思想推导了并网逆变器的离散迭代模型。根据系统的Jacobian矩阵特征值对系统进行了稳定性分析,揭示了系统产生振荡现象的原因是系统发生了Hopf分岔,并且通过分析Jacobian矩阵特征值的变化情况对系统的分岔点作出准确预测。结合系统的特征方程给出了一种系统出现低频振荡时振荡频率的确定方法。最后通过实验验证了理论分析的正确性和有效性。
关键词:  并网逆变器  滤波器  离散迭代模型  Hopf分岔  振荡频率
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基金项目:国家高技术研究发展计划(863计划)资助项目(2011-AA05A301)
Analysis of low frequency oscillation in single-phase grid-connected inverter with LCL filter
ZHOU Lin, LONG Yanping, ZHANG Mi, CHAO Yang, ZHENG Guanghui
State Key Laboratory of Power Transmission Equipment & System Security and New Technology,Chongqing University,Chongqing 400030,China
Abstract:
The oscillation phenomenon in single-phase grid-connected inverter with LCL filter is analyzed. MATLAB/Simulink simulation is performed based on the average model of system,which shows that,the oscillation phenomenon occurs in a stable system along with the change of regulating coefficient. The discrete model of grid-connected inverter is deduced by using the stroboscopic sampling method. The system stability is analyzed according to the eigenvalues of Jacobian matrix,which reveals that the Hopf bifurcation occurred in system causes the oscillation phenomenon. The bifurcation point is accurately predicted by analyzing the change of eigenvalues. A method combined with the characteristic equation is given to determine the oscillation frequency. The correctness and validity of theoretical analysis are verified by experiments.
Key words:  grid-connected inverter  electric filters  discrete model  Hopf bifurcation  oscillation frequency

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