特定消谐技术中非线性方程组数值等效及求解方法的改进  

Improvement of Solving Method and Numerical Equivalent of Equations of SHEPWM

作　　者：王建元[1] 徐超[1] 张国富[1] 莫宗宝[2] 

机构地区：[1]东北电力大学 [2]河北省电力研究院

出　　处：《电气传动》2007年第11期34-38,共5页Electric Drive

基　　金：东北电力大学博士基金资助

摘　　要：针对非线性方程组求解过程中大量的三角函数计算影响求解速度、增大计算误差以及非线性方程组求解过程中初值选取困难、影响求解收敛性等问题,提出三角函数数值等效转化的方法,即将高倍角三角函数转化成单倍角三角函数,使得非线性方程组中不含三角函数,因此,在计算中避免大量三角函数的计算,减小误差,提高了计算精度。同时,在方程求解时引入同伦算法,利用该算法的大范围收敛特性,降低初值给定难度,加快求解速度。此外,基于提出的方法,给出了两组初值给定方法,并通过实际算例计算,验证了该方法的有效性。In order to overcome the shortages brought from the calculation of the trigonometric function, a approach of numerical equivalent, which remove the trigonometric function from the nonlinear equations of SHEPWM, was presented. So it is available to avoid the calculation of trigonometric function during solving equations, therefore, reduce the time of solving and improve precision. Two sets of predicting algorithms given in the paper can be used to calculate initial values which are approximations of the exact solutions. Based on these predicted initial values, Newton-homotopy algorithm can be used to find the solutions within only three or four iterations. Advantages of this approach will be discussed and its validity will be verified by some exampies.

关 键 词：特定消谐技术 数值等效 同伦算法 

分 类 号：TM464[电气工程—电器]