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Real solutions number of the switching angles in the selective harmonic eliminated PWM

Yang, K.-H., Yuan, R.-Y., Xiang, Y. and Yu, W.-S. 2011, Real solutions number of the switching angles in the selective harmonic eliminated PWM, Journal of China University of Mining and Technology, vol. 40, no. 5, pp. 766-773.

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Title Real solutions number of the switching angles in the selective harmonic eliminated PWM
Alternative title 特定消谐脉宽调制开关角度的实解个数
Translated title Selective harmonic elimination pulse width modulation switching point of view the number of real solutions
Author(s) Yang, K.-H.
Yuan, R.-Y.
Xiang, Y.
Yu, W.-S.
Journal name Journal of China University of Mining and Technology
Volume number 40
Issue number 5
Start page 766
End page 773
Total pages 8
Publisher Zhongguo Kuangye Daxue
Place of publication Xuzhou Shi, China
Publication date 2011
ISSN 1000-1964
Keyword(s) inverter
PWM
selective harmonic eliminated
semi-algebraic systems
Summary With 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.
Language eng
Field of Research 080503 Networking and Communications
Socio Economic Objective 890201 Application Software Packages (excl. Computer Games)
HERDC Research category C1 Refereed article in a scholarly journal
HERDC collection year 2011
Persistent URL http://hdl.handle.net/10536/DRO/DU:30044302

Document type: Journal Article
Collection: School of Engineering
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Created: Thu, 05 Apr 2012, 16:04:46 EST