Towards Kron reduction of generalized electrical networks

被引：27

作者：

Caliskan, Sina Yamac ^{[1
]}

Tabuada, Paulo ^{[1
]}

机构：

[1] Univ Calif Los Angeles, Dept Elect Engn, Los Angeles, CA 90095 USA

来源：

AUTOMATICA | 2014年 / 50卷 / 10期

关键词：

Electrical circuits; Graph theoretical models; Linear/nonlinear models; Identification and model reduction;

D O I：

10.1016/j.automatica.2014.08.017

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Kron reduction is used to simplify the analysis of multi-machine power systems under certain steady state assumptions that underly the usage of phasors. Using ideas from behavioral system theory, in this paper we show how to perform Kron reduction for a class of electrical networks, called homogeneous electrical networks, without steady state assumptions. The reduced models can thus be used to analyze the transient as well as the steady state behavior of these electrical networks. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：2586 / 2590

页数：5

共 10 条

[1] [Anonymous], 2001, ALGEBRAIC GRAPH THEO, DOI DOI 10.1007/978-1-4613-0163-9
[2] Bergen A.R., 2000, Power System Analysis, V2nd
[3] Caliskan SY, 2012, IEEE DECIS CONTR P, P5554, DOI 10.1109/CDC.2012.6426580
[4] Deshpande M.V., 2001, Electrical power system design
[5] Dfirfler F., 2010, KRON REDUCTION GRAPH
[6] Pai M., 2006, Power System Dynamics and Stability
[7] Characterization and partial synthesis of the behavior of resistive circuits at their terminals
van der Schaft, Arian
[J]. SYSTEMS & CONTROL LETTERS, 2010, 59 (07) : 423 - 428
[8] Conservation Laws and Lumped System Dynamics
van der Schaft, Arjan
Maschke, Bernhard
[J]. MODEL-BASED CONTROL: BRIDGING RIGOROUS THEORY AND ADVANCED TECHNOLOGY, 2009, : 31 - +
[9] The Behavior of Linear Time Invariant RLC Circuits
Verriest, Erik I.
Willems, Jan C.
[J]. 49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2010, : 7754 - 7758
[10] The Behavior of Resistive Circuits
Willems, Jan C.
Verriest, Erik I.
[J]. PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 8124 - 8129

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