Stability analysis of linear time periodic model for single-phase grid-connected power conversion system
Aiming at the problem that the traditional linear time invariant model can not describe the interaction between multi-frequency harmonics in the power conversion system,a linear time period model of single-phase grid-connected power conversion system was proposed,and the method of row stability was selected.Firstly,the single-phase grid-connected power conversion system was modeled based on the linear time period theory,and a nonlinear time period model was obtained.Then,the model was linearized around the periodic orbit to get the linear time period time domain model of power conversion system;Meanwhile,the linear time periodic frequency domain model of power conversion system was derived by Fourier expansion.Finally,the stability and stability boundary of power conversion system small signal model under different parameters of proportional-integral controller were analyzed by Lyapunov first method.The MATLAB/Simu1ink simulation results showed that the established linear time periodic model for single-phase grid-connected power conversion system had accuracy and stability,and the stability boundary was correct.
power conversion systemlinearizationlinear time periodLyapunov first methodstability analysis
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