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Conference Paper: Solving the ill-conditioned polynomial for the optimal PWM
Title | Solving the ill-conditioned polynomial for the optimal PWM |
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Authors | |
Keywords | Harmonic elimination Ill-conditioned polynomial Pulse-width modulation |
Issue Date | 2004 |
Citation | 2004 11th International Conference on Harmonics and Quality of Power, 2004, p. 555-558 How to Cite? |
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. © 2004 IEEE. |
Persistent Identifier | http://hdl.handle.net/10722/336021 |
DC Field | Value | Language |
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dc.contributor.author | Huang, Han | - |
dc.contributor.author | Hu, Shiyan | - |
dc.contributor.author | Czarkowski, Dariusz | - |
dc.date.accessioned | 2024-01-15T08:22:05Z | - |
dc.date.available | 2024-01-15T08:22:05Z | - |
dc.date.issued | 2004 | - |
dc.identifier.citation | 2004 11th International Conference on Harmonics and Quality of Power, 2004, p. 555-558 | - |
dc.identifier.uri | http://hdl.handle.net/10722/336021 | - |
dc.description.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. © 2004 IEEE. | - |
dc.language | eng | - |
dc.relation.ispartof | 2004 11th International Conference on Harmonics and Quality of Power | - |
dc.subject | Harmonic elimination | - |
dc.subject | Ill-conditioned polynomial | - |
dc.subject | Pulse-width modulation | - |
dc.title | Solving the ill-conditioned polynomial for the optimal PWM | - |
dc.type | Conference_Paper | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.scopus | eid_2-s2.0-19644388391 | - |
dc.identifier.spage | 555 | - |
dc.identifier.epage | 558 | - |