|本期目录/Table of Contents|

[1]杨克虎,卫炜,王聪 袁如意,等. 求解特定消谐逆变器开关角度的完备算法[J].电机与控制学报,2014,18(12):24-30.
 YANG Ke-hu,WEI Wei,WANG Cong,et al. Complete algorithm solving switching angles for SHEPWM inverters[J].,2014,18(12):24-30.
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 求解特定消谐逆变器开关角度的完备算法(PDF)
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《电机与控制学报》[ISSN:1007-449X/CN:23-1 408/TM]

卷:
18
期数:
2014年12
页码:
24-30
栏目:
出版日期:
2014-12-05

文章信息/Info

Title:
 Complete algorithm solving switching angles for SHEPWM inverters
作者:
 杨克虎 1卫炜 1王聪 1袁如意2郁文生3
 1.中国矿业大学 机电与信息工程学院,北京100083; 2.中国科学院自动化研究所综合信息中心,北京100190; 3华东师范大学 上海高可信计算重点实验室,上海200062
Author(s):
 YANG Ke-hu 1WEI Wei 1WANG Cong 1YUAN Ru-yi 2YU Wen-sheng 3
 1. School of Mechanical Electronic&Information Engineering, China University of Mining&Technology,Beijing 100083
China; 2. Integrated Information System Research Center, Institute of Automation, CAS, Beijing 100190,China;
3. Shanghai Key Laboratory of Trustworthy Computing,East China Normal University,Shanghai200062,China
关键词:
 特定谐波消除逆变器脉宽调制groebner基全局最优解
Keywords:
Key words:selective harmonic eliminatedinverterPWMgroebner basesglobal optimal solution
分类号:
TM 464
DOI:
-
文献标志码:
A
摘要:
 摘要:数值算法和智能算法在求解特定消谐方程组时存在诸多局限,例如初值选取困难,只能得到局部最优解等。针对此问题,提出一种基groebner基的完备算法。首先将消谐方程组转化为多项式方程组,再通过计算此多项式方程组在纯字典序下的约化groebner基将其化为三角列,最后通过逐次的代入求解并结合约束条件完成对消谐方程组的求解。此方法的优点是无需给定初值且能够求出方程组的所有解,进而得到全局最优解,对于开关点数小于9的单相逆变器和开关点数小于6的三相逆变器都能快速有效求解。仿真结果验证了该方法所求开关角度的有效性。
Abstract:
 Abstract:There are several limitations of numerical and intelligent algorithms which are used to solve the
Selective Harmonic Eliminated PWM(SHEPWM)equations,such as it is difficult to choose the initial
value,and only the local optimal solution can be obtained. In order to solve these problems,an complete
algorithm which is based on groebner bases theory was proposed. Firstly,the SHEPWM equations were
converted to polynomial equations;then,the polynomial equations were transformed to an equivalent tri-
angular form by computing the pure lexicographic ordering reduced groebner bases;finally,the SHEP-
WM equations were solved by the successive back一substitution manner. This method down’t need to
choose the initial value and gives all the solutions,so,the global optimal solution was obtained. For the
single phase inverters with no more than 9 switching angles and the three phase inverters with no more
than 6 switching angles in a quarter period,this proposed algorithm solved the switching angles efficient-
1y. The simulations veri斤the validity of the switching angles computed by the proposed algorithm.

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备注/Memo

备注/Memo:
 基金项目:国家自然科学基金(51107144,61370176,51077125);北京高等学校青年英才计划(yETP0938);中央高校基本科研业务费(2009QJ12)
更新日期/Last Update: 2015-07-19