Application of exponential homotopy algorithm in the inverter harmonic elimination

7th International Conference on Applied Physics and Mathematics

物理学;数学

Zhang, Li^1,2,3

Data Recovery Key Laboratory of Sichuan Province, Neijiang Normal University, Neijiang

641110, China^1

Numerical Simulation Key Laboratory of Sichuan Province, Neijiang Normal University, Neijiang

641110, China^2

College of Mathematics and Information Science, Neijiang Normal University, Neijiang

641110, China^3

关键词: Harmonic elimination;    Harmonic pollution;    Homotopies;    Homotopy algorithms;    Homotopy method;    Improving power;    Numerical results;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/814/1/012020/pdf
DOI  :  10.1088/1742-6596/814/1/012020

来源: IOP

【 摘 要 】

Eliminating harmonic pollution and improving power factor are the quite important task in the field of power electronics. From the mathematical point of view, harmonic elimination problems can be translated into nonlinear equations. But it is difficult to directly solve the nonlinear equations because of complexity. For this reason, exponential homotopy method is proposed based on homotopy method in this paper. It has focused on built up homotopy equations by modifying the singularities of Jacobian matrix, and on this basis homotopy equations are transformed into the differential initial value problems. Numerical results show that the new exponential homotopy method has higher precision than other algorithms, and the singularity is improved.