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. Attached Files Name Description MIMEType Size Downloads 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. orcid.org/0000-0003-3545-7863 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 Related Links Link Description Connect to published version (restricted access) Go to link with your DU access privileges     Unless expressly stated otherwise, the copyright for items in DRO is owned by the author, with all rights reserved. Versions Version Filter Type Thu, 05 Apr 2012, 16:04:46 EST Mon, 30 Apr 2012, 17:02:20 EST Tue, 01 May 2012, 09:33:49 EST Tue, 01 May 2012, 09:36:28 EST Wed, 23 May 2012, 13:39:49 EST Wed, 23 May 2012, 14:22:36 EST Wed, 23 May 2012, 15:47:53 EST Tue, 14 Aug 2012, 12:30:17 EST Tue, 14 Aug 2012, 12:31:37 EST Thu, 21 Feb 2013, 13:17:13 EST Filtered Full Citation counts:   Cited 0 times in TR Web of Science Cited 7 times in Scopus Search Google Scholar Access Statistics: 319 Abstract Views, 4 File Downloads  -  Detailed Statistics Created: Thu, 05 Apr 2012, 16:04:46 EST

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