Application of Newton Identities in Solving Selective Harmonic Elimination Problem With Algebraic Algorithms

Abstract

Algebraic algorithms are powerful methods in solv-1 ing the selective harmonic elimination (SHE) problem, which 2 can find all exact solutions without the requirements of choosing 3 initial values. However, the huge computational burden and long 4 solving time limit the solving capability of algebraic algorithms. 5 This article presents a novel Newton's identifies-based method to 6 simplify the SHE equations including the order reduction and the 7 variable elimination, thereby reducing the computational burden 8 and the solving time of algebraic algorithms or in other words 9 improving the solving capability of the algebraic algorithms. 10 Compared with existing simplification methods, the proposed 11 method significantly improves the efficiency of solving SHE 12 equations. With the proposed method, the degree of reduction 13 is no longer the bottleneck of solving the SHE equations by 14 using algebraic algorithms. By using the proposed method, the 15 SHE equations with ten switching angles are completely solved 16 with the algebraic algorithm for the first time. The simulation 17 and experimental results indicate that the proposed method is 18 effective and correct.19