### 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 language | English (US) |
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Title of host publication | 2004 11th International Conference on Harmonics and Quality of Power |

Pages | 555-558 |

Number of pages | 4 |

State | Published - 2004 |

Event | 2004 11th International Conference on Harmonics and Quality of Power - Lake Placid, NY, United States Duration: Sep 12 2004 → Sep 15 2004 |

### Publication series

Name | 2004 11th International Conference on Harmonics and Quality of Power |
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### Other

Other | 2004 11th International Conference on Harmonics and Quality of Power |
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Country | United States |

City | Lake Placid, NY |

Period | 9/12/04 → 9/15/04 |

### Keywords

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

### ASJC Scopus subject areas

- Engineering(all)

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## Cite this

*2004 11th International Conference on Harmonics and Quality of Power*(pp. 555-558). (2004 11th International Conference on Harmonics and Quality of Power).