Solving the ill-conditioned polynomial for the optimal PWM

Han Huang, Shiyan Hu, Dariusz Czarkowski

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The Selective Harmonic Elimination (SHE) Pulse-Width Modulation (PWM) inverter eliminates low-order harmonics by optimizing the switching angles distribution and can generate high quality output waveforms. The switching angles can be obtained through solving a set of transcendental equations with the coefficients from the inverter output waveform Fourier series. The conventional algorithm for resolving SHE-PWM problem is Newton-Raphson algorithm. The main shortcoming in applying Newton-type algorithms is that the results deeply depend on the selection of initial values. In this paper, a new algorithm is proposed to solve the nonlinear system in the SHE-PWM problem without suffering from above shortcoming. The algorithm first transforms the nonlinear equations into a poly-nomial problem. An important observation is that the original system and thus the polynomial are highly ill-conditioned, so the conventional algorithms can seldom accurately computing roots for the polynomial. A novel Eigensolve algorithm is introduced since the algorithm is especially good for solving the highly ill-conditioned polynomial. The simulation results indicate the robustness of the method.

Original languageEnglish (US)
Title of host publication2004 11th International Conference on Harmonics and Quality of Power
Pages555-558
Number of pages4
StatePublished - 2004
Event2004 11th International Conference on Harmonics and Quality of Power - Lake Placid, NY, United States
Duration: Sep 12 2004Sep 15 2004

Publication series

Name2004 11th International Conference on Harmonics and Quality of Power

Other

Other2004 11th International Conference on Harmonics and Quality of Power
Country/TerritoryUnited States
CityLake Placid, NY
Period9/12/049/15/04

Keywords

  • Harmonic elimination
  • Ill-conditioned polynomial
  • Pulse-width modulation

ASJC Scopus subject areas

  • Engineering(all)

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