基于对称多项式理论及吴方法求解逆变器选择性消谐多项式

Solving selective harmonic elimination polynomials of inverters using the theory of symmetric polynomials and Wu method

提出了一种利用对称多项式简化求解逆变器选择性消谐多项式的方法.基于余式理论求解逆变器选择性消谐多项式方程组,会出现当要求解多个开关角时,多项式方程的次数较高、计算工作量大的问题.为此,本文首先利用对称多项式理论降低该多项式方程组的次数,然后利用吴方法及置换法求解多项式方程组,结果表明,最后只需计算一些代数表达式就可得到选择性消谐多项式方程组的所有解,大大减少了计算量,提高了在线计算的速度.

A method is presented to simplify solving the selective harmonic elimination （SHE） polynomials by using the theory of symmetric polynomials in this paper. A difficulty with the method of resultant theory is that the degrees of polynomials are quite high when there are several angles to be solved, which aggravates the computational burden of their resultant polynomials. The theory of symmetric polynomials is applied to reduce the degrees of polynomial equations and solve the polynomial equations by Wu method and permutation method. The results show that all possible solutions of SHE equations can be obtained by only solving some algebraic expressions, which reduces the computational burden greatly and improves the calculation speed on-line.