基于差分进化算法的逆变器SHEPWM方法的研究

针对两电平特定谐波消除(Selective Harmonic Elimination Pulse Width Modulation, SHEPWM)非线性方程组的求解,提出采用差分进化算法(Differential Evolution Algorithm,DE)对两电平逆变器消谐模型的非线性超越方程组求解的方法。DE求解SHEPWM方程组克服了数值方法需要初值的不足。给出调制度0～1.15下的开关角轨迹,和遗传算法求解进行对比,得出DE求解具有更高的精度。为验证差分进化算法求解的正确性和可行性,用Matlab/Simulink进行仿真研究,并以DSP(TMS320F28335)为核心搭建了两电平逆变器进行实验。仿真和实验结果证明了差分进化算法求解的正确性和可行性。

Research on the SHEPWM technique applied to inverter based on differential evolution algorithms

Aiming at solving the nonlinear equations of two-level selective harmonic elimination, a method of solving the nonlinear transcendental equations of two-level inverters harmonic elimination model by Differential Evolution (DE) algorithm is proposed. DE solves the SHEPWM equations and overcomes the shortage of initial values in numerical methods. The switching angle trajectory with modulation degree of 0 to 1.15 is given. Compared with the genetic algorithm solution, the DE solution has higher accuracy. In order to verify the correctness and feasibility of the differential evolution algorithm, a simulation study is carried out with Matlab/Simulink, and a two-level inverter based on DSP (TMS320F28335) is built for experiment. The simulation and experimental results prove the correctness and feasibility of the differential evolution algorithm. This work is supported by National Natural Science Foundation of China (No. 51307076) and Liaoning Natural Science Foundation of China (No. 20180550268).