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Discrete State Event Driven Method and Self-Adapted Predictor-Corrector Algorithm |
Yang Yi, Zhao Zhengming, Tan Tian, Li Boyang, Yuan Liqiang |
State Key Lab of Control and Simulation of Power Systems and Generation Equipments Department of Electrical Engineering Tsinghua University Beijing 100084 China |
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Abstract In the analysis of power electronics system, it is necessary to simulate ordinary differential equations (ODEs) with discontinuities and stiffness. However, there are many difficulties in using traditional discrete-time algorithms to solve such equations. Kofman and others presented the quantized state systems (QSS) method in the discrete event system specification (DEVS) formalism. The discretization is applied to the state variables instead of time range in QSS. QSS is very efficient to solve ODEs with discontinuities and stiffness. Based on the idea of discrete event, a discrete state event driven (DSED) method is presented in this paper. This method is fit for simulation of power electronics system. Furthermore, a predictor-corrector algorithm is presented based on DSED to improve the accuracy. Also calculation steps are studied with the amplitudes and frequencies of state variables. Accordingly, a self-adapted method is proposed, which can reduce the computation substantially. Numerical examples verified the effectiveness of the proposed algorithms.
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Received: 18 April 2017
Published: 30 June 2017
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