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| 求解特定消谐变换器开关角度的并行完备算法 | |
| 引用本文： | 杨克虎,陈良育,袁志宝,郁文生,曾振柄.求解特定消谐变换器开关角度的并行完备算法[J].电力系统自动化,2015,39(13):87-93. |
| 作者姓名： | 杨克虎 陈良育 袁志宝 郁文生 曾振柄 |
| 作者单位： | 1. 中国矿业大学 北京 机电与信息工程学院,北京市,100083 2. 华东师范大学上海市高可信计算重点实验室,上海市,200062 3. 北京邮电大学电子工程学院,北京市,100876 4. 上海大学理学院数学系,上海市,200444 |
| 基金项目： | 国家自然科学基金资助项目（51107144,61370176,610210040）；中央高校基本科研业务费专项资金资助项目（2009QJ12,78210152）；北京高等学校青年英才计划项目（YETP0938）；高等学校博士学科点专项科研基金资助项目（20110076110010,20110076120015） |
| 摘 要： | 结式消元法在求解特定谐波消除脉宽调制变换器的开关角度时会遇到中间表达式膨胀耗尽内存的问题,为此文中提出基于多项式插值的方法,将结式行列式的展开转化为插值点计算和线性方程组求解2个步骤,并给出了该方法并行实现的主要流程。计算结果显示此方法能够有效避免中间表达式膨胀的问题,所能求解的开关点数大幅提升。针对开关点数为6的变换器,给出了全调制比范围内的开关角度,实验结果验证了所求开关角度的正确性。 |
| 关 键 词： | 特定谐波消除 变换器 多项式插值 结式消元 并行计算 |
| 收稿时间： | 2014/8/23 0:00:00 |
| 修稿时间： | 4/7/2015 12:00:00 AM |
Parallel Complete Algorithm for Solving Switching Angles of SHEPWM Inverters |
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| YANG Kehu,CHEN Liangyu,YUAN Zhibao,YU Wensheng and ZENG Zhenbing.Parallel Complete Algorithm for Solving Switching Angles of SHEPWM Inverters[J].Automation of Electric Power Systems,2015,39(13):87-93. | |
| Authors: | YANG Kehu CHEN Liangyu YUAN Zhibao YU Wensheng and ZENG Zhenbing |
| Affiliation: | School of Mechanical Electronic and Information Engineering, China University of Mining and Technology (Beijing), Beijing 100083, China,Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China,School of Mechanical Electronic and Information Engineering, China University of Mining and Technology (Beijing), Beijing 100083, China,School of Electronics Engineering, Beijing University of Posts and Telecommunications, Beijing 100876, China and Department of Mathematics, School of Science, Shanghai University, Shanghai 200444, China |
| Abstract: | When the resultant elimination method is used to solve the switching angles for selective harmonic elimination pulse width modulation (SHEPWM) technology, the physical memory usually will run out because of the intermediate expression swell. In order to solve this problem, a polynomial interpolation based method is proposed to convert the computing of determinants into computing interpolation points and the solving of linear equations, and the main procedure for parallel realization of this algorithm is given. The computation results show that this method is capable of effectively avoiding the problem of intermediate expression swell, and the maximum number of switching angles which can be solved is significantly increased. For a power converter with six switching points, the switching angles for the full range modulation index are computed and the correctness of the computed results is verified by experiment. This work is supported by National Natural Science Foundation of China (No. 51107144, No. 61370176, No. 61021004), Fundamental Research Funds for the Central Universities (No. 2009QJ12, No. 78210152), Beijing Higher Education Young Elite Teacher Project (No. YETP0938), and Specialized Research Fund for the Doctoral Program of Higher Education (SRFDP) of China(No. 20110076110010, No. 20110076120015). |
| Keywords: | selective harmonic elimination converter polynomial interpolation resultant elimination parallel computing |
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