华南理工大学学报(自然科学版) ›› 2003, Vol. 31 ›› Issue (11): 1-4.

• •    下一篇

逆变器消谐模型求解中矩阵求逆的算法研究

黄宇清 谢运祥   

  1. 华南理工大学 电力学院‚广东 广州510640
  • 出版日期:2003-11-20 发布日期:2022-06-09
  • 作者简介:黄宇清(1969-)‚女‚硕士‚主要从事电力电子逆变技术研究.
  • 基金资助:
    国家自然科学基金资助项目(50007001)

Algorithm Research of the Inverse Matrix in the Solution of the Inverter Harmonic Elimination Model

Huang Y u-qing Xie Y un-xiang   

  1. College of Electrical Power‚South China Univ.of Tech.‚Guangzhou510640‚China
  • Online:2003-11-20 Published:2022-06-09

摘要: 针对消谐方程求解过程中的矩阵求逆问题‚分析了各种求逆方法及其运算量‚并 对矩阵求逆方法进行了算法的稳定性分析‚找到影响消谐方程数字化求解收敛性的根本 原因是消谐矩阵的病态性质引起的.提出了具有可紧凑存储法思想的高斯-约当初等变 换求逆方法‚并细述了其计算步骤‚该方法具有占用存储资源少、运算量较小、易于实现并 行运算等优点‚不失为一种有效的消谐矩阵求逆算法.

关键词: 选择性谐波消除法, 逆变器, 矩阵求逆

Abstract: Various matrix inversing methods and their algorithm stability are analysed.It is found that the convergence of mathematic solution of selective harmonic elimination equation results from morbid-condition of the selective harmonic elimination matrix.The inversing method with Gauss-Jordan elementary transformation based on the compact memory is presented and calculation steps are described in detail. The results show that the algorithm has many merits‚such as little memory occupying‚little calculation‚ easy suited to parallel calculation and so on.Therefore‚it is an effective method to get inverse matrix.

Key words: selective harmonic elimination, inverter, solution of inverse matrix

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