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Index‐aware model order reduction: LTI DAEs in electric networks

Index‐aware model order reduction: LTI DAEs in electric networks Purpose – Model order reduction (MOR) has been widely used in the electric networks but little has been done to reduce higher index differential algebraic equations (DAEs). The paper aims to discuss these issues. Design/methodology/approach – Most methods first do an index reduction before reducing a higher DAE but this can lead to a loss of physical properties of the system. Findings – The paper presents a MOR method for DAEs called the index‐aware MOR (IMOR) which can reduce a DAE while preserving its physical properties such as the index. The feasibility of this method is tested on real‐life electric networks. Originality/value – MOR has been widely used to reduce large systems from electric networks but little has been done to reduce higher index DAEs. Most methods first do an index reduction before reducing a large system of DAEs but this can lead to a loss of physical properties of the system. The paper presents a MOR method for DAEs called the IMOR which can reduce a DAE while preserving its physical properties such as the index. The feasibility of this method is tested on real‐life electric networks. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering Emerald Publishing

Index‐aware model order reduction: LTI DAEs in electric networks

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Publisher
Emerald Publishing
Copyright
Copyright © 2014 Emerald Group Publishing Limited. All rights reserved.
ISSN
0332-1649
DOI
10.1108/COMPEL-12-2012-0362
Publisher site
See Article on Publisher Site

Abstract

Purpose – Model order reduction (MOR) has been widely used in the electric networks but little has been done to reduce higher index differential algebraic equations (DAEs). The paper aims to discuss these issues. Design/methodology/approach – Most methods first do an index reduction before reducing a higher DAE but this can lead to a loss of physical properties of the system. Findings – The paper presents a MOR method for DAEs called the index‐aware MOR (IMOR) which can reduce a DAE while preserving its physical properties such as the index. The feasibility of this method is tested on real‐life electric networks. Originality/value – MOR has been widely used to reduce large systems from electric networks but little has been done to reduce higher index DAEs. Most methods first do an index reduction before reducing a large system of DAEs but this can lead to a loss of physical properties of the system. The paper presents a MOR method for DAEs called the IMOR which can reduce a DAE while preserving its physical properties such as the index. The feasibility of this method is tested on real‐life electric networks.

Journal

COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering – Emerald Publishing

Published: Jul 1, 2014

Keywords: Differential algebraic equations; Electric networks; Projectors

References

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