基于非线性迭代的开关功率变换器仿真

A Method of Simulation for Switched Power Converter Based on Nonlinear Iterative

开关功率变换器仿真的关键是精确确定开关元件换相的时刻,而一般开关函数为超越方程,很难求得其解析解。采用将超越方程转化为微分方程,然后利用微分方程的数值解法求取超越方程的零点,同时用精细历程积分法求取方程的指数矩阵。相对传统方法,非线性迭代法具有收敛范围宽、求解精度高、求解过程不需要使用导数,迭代效率高的优点。典型开关功率变换器仿真实例表明了该方法的正确性及迭代效率,是开关电路仿真的一种新思路。

An algorithm for simulating switched networks based on nonlinear iterative method is presented. Using this algorithm, an algebra equation is transformed into an ordinary differential equation (ODE), and then the numerical method is used to obtain the steady state of the ODE. The steady state is just the root of the algebra equation. The commutation time can be evaluated precisely and exponential matrix can be requested by precise computation for transient analysis. Compared to the conventional approaches for algebra equation, the nonlinear iterative method is provided with wide convergence range, high precision, high efficient compare with other iterative methods and it has no need of using derivative in the course of iterative. The simulation results to illustrative example indicate the correctness and efficiency of the presented algorithm. It is a new thought to simulate switched power converters.