A Wavelet Approach to the Selective Computation of Domninant Eigenvalues

D. McIlhagger; Timothy Littler; G.W. Irwin

doi:10.1049/cp:20060468

A Wavelet Approach to the Selective Computation of Domninant Eigenvalues

D. McIlhagger, Timothy Littler, G.W. Irwin

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

This paper introduces an algorithm that calculates the dominant eigenvalues (in terms of system stability) of a linear model and neglects the exact computation of the non-dominant eigenvalues. The method estimates all of the eigenvalues using wavelet based compression techniques. These estimates are used to find a suitable invariant subspace such that projection by this subspace will provide one containing the eigenvalues of interest. The proposed algorithm is exemplified by application to a power system model.

Original language	English
Title of host publication	Proceedings of the IET Irish Signals & Systems Conference (ISSC 2006)
Pages	389-394
Number of pages	6
DOIs	https://doi.org/10.1049/cp:20060468
Publication status	Published - Jun 2006
Event	IET Irish Signals and Systems Conference - Dublin Institute of Technology (DIT), Dublin, Ireland Duration: 01 Jun 2006 → 01 Jun 2006

Conference

Conference	IET Irish Signals and Systems Conference
Country	Ireland
City	Dublin
Period	01/06/2006 → 01/06/2006

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10.1049/cp:20060468

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title = "A Wavelet Approach to the Selective Computation of Domninant Eigenvalues",

abstract = "This paper introduces an algorithm that calculates the dominant eigenvalues (in terms of system stability) of a linear model and neglects the exact computation of the non-dominant eigenvalues. The method estimates all of the eigenvalues using wavelet based compression techniques. These estimates are used to find a suitable invariant subspace such that projection by this subspace will provide one containing the eigenvalues of interest. The proposed algorithm is exemplified by application to a power system model.",

author = "D. McIlhagger and Timothy Littler and G.W. Irwin",

year = "2006",

month = jun,

doi = "10.1049/cp:20060468",

language = "English",

isbn = "0 86341 665 9",

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note = "IET Irish Signals and Systems Conference ; Conference date: 01-06-2006 Through 01-06-2006",

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AU - Littler, Timothy

AU - Irwin, G.W.

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N2 - This paper introduces an algorithm that calculates the dominant eigenvalues (in terms of system stability) of a linear model and neglects the exact computation of the non-dominant eigenvalues. The method estimates all of the eigenvalues using wavelet based compression techniques. These estimates are used to find a suitable invariant subspace such that projection by this subspace will provide one containing the eigenvalues of interest. The proposed algorithm is exemplified by application to a power system model.

AB - This paper introduces an algorithm that calculates the dominant eigenvalues (in terms of system stability) of a linear model and neglects the exact computation of the non-dominant eigenvalues. The method estimates all of the eigenvalues using wavelet based compression techniques. These estimates are used to find a suitable invariant subspace such that projection by this subspace will provide one containing the eigenvalues of interest. The proposed algorithm is exemplified by application to a power system model.

U2 - 10.1049/cp:20060468

DO - 10.1049/cp:20060468

M3 - Conference contribution

SN - 0 86341 665 9

SP - 389

EP - 394

BT - Proceedings of the IET Irish Signals & Systems Conference (ISSC 2006)

T2 - IET Irish Signals and Systems Conference

Y2 - 1 June 2006 through 1 June 2006

ER -