基于线性化Poincaré映射模型的非线性电力电子系统控制方法

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Abstract When analyzing the dynamic performance of the nonlinear power electronics systems, the state space averaging method has lower accuracy and the numerical integration method does not have clear physical concept. Comparatively, the Poincaré mapping analysis method is more accurate and can be expressed with analytic equations to reflect the dynamic response of the state variables at its discrete sampling instant. But further research is still needed for its applications in the system control design. Considering the influence of the control variables, this paper sets forth the linearized Poincaré mapping model for nonlinear power electronics control systems. With system stability margin index as the objective, the control parameters are optimized. This method applies Poincaré mapping model to the system control design and can improve system dynamic performance effectively. Simulation tests verify the validity of the algorithm.

Key words： Nonlinear power electronics systems periodic orbit Poincaré mapping dynamic performance control

Received: 28 August 2013 Published: 20 October 2015

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TM46

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