奇异系统的无源性补偿算法

doi:10.3969/j.issn.1001-2400.2013.03.028

J4 ›› 2013, Vol. 40 ›› Issue (3): 188-193+220.doi: 10.3969/j.issn.1001-2400.2013.03.028

奇异系统的无源性补偿算法

闫旭¹;李玉山¹;丁同浩¹;曲咏哲¹;蒋冬初^1,2;路建民¹

(1. 西安电子科技大学电路CAD研究所，陕西西安 710071；
2. 湖南城市学院通信与电子工程学院，湖南益阳 413000)

收稿日期:2012-02-20 出版日期:2013-06-20 发布日期:2013-07-29
通讯作者: 闫旭
作者简介:闫旭(1984-)，女，西安电子科技大学博士研究生，E-mail: yanxu@mail.xidian.edu.cn．
基金资助:
国家自然科学基金资助项目(60871072，60672027)；国家教育部博士点基金资助项目(20050701002)；湖南省自然科学基金资助项目(10JJ6091)；湖南省科技厅科技计划资助项目(2010FJ6015)

Passivity enforcement scheme for descriptor systems

YAN Xu¹;LI Yushan¹;DING Tonghao¹;QU Yongzhe¹;JIANG Dongchu^1,2;LU Jianmin¹

(1. Research Inst. of Electronic CAD, Xidian Univ., Xi'an 710071， China;
2. School of Comm. and Electronic Eng., Hunan City Univ., Yiyang 413000， China)

Received:2012-02-20 Online:2013-06-20 Published:2013-07-29
Contact: YAN Xu

摘要/Abstract

摘要：

针对现有的奇异系统无源性补偿算法都需要系统分解，仿真时间较长的问题，提出了一种快速的无源性补偿方法．通过扰动状态方程的参数值构建目标函数和约束函数以形成二次规划问题，利用拉格朗日乘数法，将复杂的数值优化求解问题转变为简单的线性方程组求解问题，提高了仿真效率．数值例子表明，该方法在有限的仿真时间内精确补偿了宏模型的无源性．

关键词: 奇异系统, 无源性, 二次规划

Abstract:

For the macromodel in descriptor systems, the existing methods require system decomposition, which greatly increase the compcatational time. A fast and efficient perturbation method is proposed for the passivity enforcement of S-parameter descriptor systems. The method generalizes quadratic programming with equality constraint introduced for regular systems which makes full use of matrix sparsity. It is implemented by perturbing some parameters of the DS to construct the objective function and constraint function of the quadratic programming problem. By using Lagrange multipliers, the complex optimization problem is transformed to a linear system solution, which greatly increases simulation efficiency. Numerical examples are presented to demonstrate the validity and efficiency of the proposed algorithm.

Key words: descriptor system, passivity, quadratic programming

中图分类号:

TN801

闫旭;李玉山;丁同浩;曲咏哲;蒋冬初;路建民. 奇异系统的无源性补偿算法[J]. J4, 2013, 40(3): 188-193+220.

YAN Xu;LI Yushan;DING Tonghao;QU Yongzhe;JIANG Dongchu;LU Jianmin. Passivity enforcement scheme for descriptor systems[J]. J4, 2013, 40(3): 188-193+220.

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奇异系统的无源性补偿算法

Passivity enforcement scheme for descriptor systems

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