实时求解特定消谐方程组的新算法

基于特定消谐脉宽调制技术，建立了消除特定谐波的非线性超越方程组，重点研究了实时求解非线性超越方程组的新算法，该算法在DSP控制器上运行和仿真，实现了消除特定谐波的非线性超越方程组的实时在线求解，文中给出了仿真和实验结果。

A Novel Algorithm for Real-Time Solution of Nonlinear Surmount SHET Equations

The technique of specific harmonic elimination and pulse width modulation(SHEPWM) can eliminate low order harmonics of an inverter,decrease pulse of electrical current, and improve the quality of the inverter. Mathematical model of SHEPWM consists of nonlinear surmount equations. Real time solution of the equations is a key technique in the application of SHEPWM to engineering. In this paper, the nonlinear harmonic elimination equations of SHEPWM are established. A comparison between homotopy iterative algorithm and Newton iterative algorithm is investigated. A new algorithm for solving nonlinear surmount equations is presented, and examples of the algorithm are given. The new algorithm is validated by Matlab simulation, and experiments are carried out on the controller DSP 2407 developed by us. In one period the output wave is calculated and spectrum of the output of SHEPWM inverter are analyzed. The results show that the application of the new algorithm has the merits of large convergence margin, high convergence rate and high precision, and can eliminate low order harmonics. Real time solution of the harmonic elimination equations is realized.