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
CountryUnited 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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  • Cite this

    Huang, H., Hu, S., & Czarkowski, D. (2004). Solving the ill-conditioned polynomial for the optimal PWM. In 2004 11th International Conference on Harmonics and Quality of Power (pp. 555-558). (2004 11th International Conference on Harmonics and Quality of Power).