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Real solutions number of the switching angles in the selective harmonic eliminated PWM
journal contribution
posted on 2011-01-01, 00:00 authored by K H Yang, R Y Yuan, Yong XiangYong Xiang, W S YuWith the purpose of solving the real solutions number of the nonlinear transcendental equations in the selective harmonic eliminated PWM (SHEPWM) technology, the nonlinear transcendental equations were transformed to a set of polynomial equations with a set of inequality constraints using the multiple-angle formulas, an analytic method based on semi-algebraic systems machine proving algorithm was proposed to classify the real solution number of the switching angles. The complete classifications of the real solution number and the analytic boundary point of the single phase and three phases SHEPWM inverter with switch points of N=3 and the single phase SHEPWM inverter with switch points of N=4 are obtained. The results indicate that the relationship between the modulation ratio and the real solution number can be demonstrated theoretically by this method, which has great implications for the solution procedure of switching angles and the improvement of harmonic elimination effects of the inverter.
History
Journal
Journal of China University of Mining and TechnologyVolume
40Issue
5Pagination
766 - 773Publisher
Zhongguo Kuangye DaxueLocation
Xuzhou Shi, ChinaISSN
1000-1964Language
engPublication classification
C1 Refereed article in a scholarly journalUsage metrics
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