PABTEC: Passivity-Preserving Balanced Truncation for Electrical Circuits

被引：43

作者：

Reis, Timo ^{[1
]}

Stykel, Tatjana ^{[1
]}

机构：

[1] Tech Univ Berlin, Inst Math, D-10623 Berlin, Germany

来源：

IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS | 2010年 / 29卷 / 09期

关键词：

Balanced truncation; bounded real; electrical circuits; Lur'e equations; model reduction; passivity; positive real; projectors; reciprocity; Riccati equations; MODEL-REDUCTION; POSITIVE-REAL; NUMERICAL-SOLUTION; LINEAR-SYSTEMS;

D O I：

10.1109/TCAD.2010.2059330

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

We present a passivity-preserving balanced truncation model reduction method for differential-algebraic equations arising in circuit simulation. This method is based on balancing the solutions of projected Lur'e equations. By making use of the special structure of circuit equations, we can reduce the numerical effort for balanced truncation significantly. It is shown that the property of reciprocity is also preserved in the reduced-order model. Network topological interpretations of certain circuit effects are given. The presented model reduction method is illustrated by numerical examples.

引用

页码：1354 / 1367

页数：14

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