Research on Real Solutions Number of the SHEPWM Equations Based on the Mechanical Proving and Groebner Bases Theory

摘要：

　　The real solutions number of the switching angles for the SHEPWM inverter has been discussed in this paper.Firstly,the SHEPWM equations were transformed to polynomial equations with inequality constrains by using the multiple-angle formulas and variables substitution,then,the equivalent groebner bases of the polynomial equations were computed,finally,the real solutions number of the SHEPWM equations were discussed with the mechanical proving theory and algorithm of the semialgebraic systems.The conclusion of there is only one solutions for the single phase SHEPWM inverter with less than 7 switching points in a quarter period and the theoretical maximum modulation ratio were derived for the first time.The experiments and simulations verify the correctness of these conclusions.

关键词： Selective Harmonic Eliminated Inverter Semi-Algebraic Systems Groebner Bases

作者: YANG Ke-hu YUAN Ru-yi YU Wen-sheng

作者单位: School of Mechanical Electronic & Information Engineering,China University of Mining & Technology,Be Integrated Information System Research Center,Institute of Automation,Chinese Academy of Sciences,Be Shanghai Key Laboratory of Trustworthy Computing,East China Normal University,Shanghai 200062,P.R.Ch

会议类型: 国际会议

会议名称: The 33th Chinese Control Conference第33届中国控制会议

会议地点: 南京

会议语种:英文

页码: 8134-8139

在线出版日期: 2014-07-28（万方平台首次上网日期，不代表论文的发表时间）