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山东大学学报(工学版) ›› 2011, Vol. 41 ›› Issue (3): 59-61.

• 控制科学与工程 • 上一篇    下一篇

一种实现延时无源宏模型的快速方法

李军辉   

  1. 中国人民解放军95997部队, 北京 100076
  • 收稿日期:2011-02-17 出版日期:2011-06-16 发布日期:2011-02-17
  • 作者简介:李军辉(1974- ),男,河南信阳人,讲师,硕士,主要研究方向为雷达,电路设计. Email:oohay@yeah.net

An efficient method for the passivity enforcement of
delayed macromodels

LI Junhui   

  1. PLA 95997 Unit, Beijing 100076
  • Received:2011-02-17 Online:2011-06-16 Published:2011-02-17

摘要:

针对传统带延时模型的无源性和无源宏模型的指数发散问题,提出了一种实现无源延时宏模型的快速方法。在集总宏模型无源性方法的基础上构建约束函数和目标函数,并将目标函数转化为等式约束的二次优化问题,用共轭梯度法实现延时宏模型的无源性。该方法在实现无源性的基础上可以得到基于最小二乘的最优解,大幅度提高了建模效率。数值仿真例子表明了该方法的有效性与准确性。

关键词: 延时宏模型, 无源性, 等式约束, 二次优化

Abstract:

Passivity violated delayed macromodels will lead to exponential divergence of the waveform in  time domain simulation. The causality of the delayed macromodels was ensured by conventional modeling strategies. But the passivity was not guaranteed. Based on this consideration, an efficient method for the passivity enforcement of delayed macromodels was presented, which is a generalization of the passivity enforcement method for lumped models. The method was based on quadratic programming with equality constraint, which was solved by using conjugate gradient. This method could enforce the passivity of the delayed macromodels while being optimal in the least squares sense. This procedure can greatly improve the efficiency. Numerical examples showed the efficiency and the accuracy of the method.

Key words:  delayed macromodels, passivity, equality constraint, quadratic programming

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