Abstract：The complex and high-order characteristics of the full-order model of the grid-connected converter system limit its application in theoretical analysis. The establishment of a suitable reduced-order model is an important way to simplify the theoretical analysis of the grid-connected converter system. The existing order reduction method mainly obtains the order reduction model at a certain time scale by simplifying the dynamic characteristics of the model at other time scales. The accuracy of the model is not high. To this end, this paper proposes a method for reducing the order of grid-connected converter systems based on balanced realization theory. This method obtains the corresponding Gramian matrix by solving its Lyapunov equation, and then obtains an equivalent balanced system. On this basis, according to the Hankle singular value of the balanced system, key state variables in the balanced system are retained to achieve system reduction. In this paper, voltage source converter (VSC) were used as examples. Based on the proposed method, reduced-order models of single and multiple grid-connected converters system considering the connection impedance between the converters were established. Matlab/Simulink time-domain simulation shows that the proposed method can achieve effective and accurate order reduction for grid-connected converter systems.
许建成, 孙建军, 钟佩军, 尹耀宗, 查晓明. 基于平衡实现理论的变流器并网系统降阶模型[J]. 电工技术学报, 2021, 36(zk1): 255-264.
Xu Jiancheng, Sun Jianjun, Zhong Peijun, Yin Yaozong, Zha Xiaoming. Reduced-Order Model of Grid-Connected Converter System Based on Balanced Realization Theory. Transactions of China Electrotechnical Society, 2021, 36(zk1): 255-264.
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2021, Vol. 36 
