Frequency Domain Relaxation of Power System Dynamics

Daniel Tylavsky; Peter E. Crouch; Deepak J. Aatresh

doi:10.1109/59.54577

Frequency Domain Relaxation of Power System Dynamics

Daniel Tylavsky, Peter E. Crouch, Deepak J. Aatresh

Electrical Engineering

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

A new highly parallel approach for solving nonlinear differential equations in the frequency domain is presented. Solutions of the frequency domain equations involving polynomial approximations to the nonlinearities involved is handled using a relaxation technique to exploit parallelism. Identities involving frequency domain matrix polynomials of dimension N and order n are developed to allow evaluation in 0(log2N.log2n) time. Results of applying the method to models involving hard limiters and sine nonlinearities are presented. Savings of the number of parallel computations is achieved through the elimination of the hard precedence relationships involved in the classical time-march methods.

Original language	English (US)
Pages (from-to)	652-658
Number of pages	7
Journal	IEEE Transactions on Power Systems
Volume	5
Issue number	2
DOIs	https://doi.org/10.1109/59.54577
State	Published - May 1990

ASJC Scopus subject areas

Energy Engineering and Power Technology
Electrical and Electronic Engineering

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10.1109/59.54577

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title = "Frequency Domain Relaxation of Power System Dynamics",

abstract = "A new highly parallel approach for solving nonlinear differential equations in the frequency domain is presented. Solutions of the frequency domain equations involving polynomial approximations to the nonlinearities involved is handled using a relaxation technique to exploit parallelism. Identities involving frequency domain matrix polynomials of dimension N and order n are developed to allow evaluation in 0(log2N.log2n) time. Results of applying the method to models involving hard limiters and sine nonlinearities are presented. Savings of the number of parallel computations is achieved through the elimination of the hard precedence relationships involved in the classical time-march methods.",

author = "Daniel Tylavsky and Crouch, {Peter E.} and Aatresh, {Deepak J.}",

note = "Funding Information: This paper was sponsored by the IEEE Power Engineering Society for presentation at the IEEE Power Industry Computer Application Conference, Seattle, Washington, May 1 - 5 , 1989. Manuscript was publlslied in the",

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AU - Aatresh, Deepak J.

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N2 - A new highly parallel approach for solving nonlinear differential equations in the frequency domain is presented. Solutions of the frequency domain equations involving polynomial approximations to the nonlinearities involved is handled using a relaxation technique to exploit parallelism. Identities involving frequency domain matrix polynomials of dimension N and order n are developed to allow evaluation in 0(log2N.log2n) time. Results of applying the method to models involving hard limiters and sine nonlinearities are presented. Savings of the number of parallel computations is achieved through the elimination of the hard precedence relationships involved in the classical time-march methods.

AB - A new highly parallel approach for solving nonlinear differential equations in the frequency domain is presented. Solutions of the frequency domain equations involving polynomial approximations to the nonlinearities involved is handled using a relaxation technique to exploit parallelism. Identities involving frequency domain matrix polynomials of dimension N and order n are developed to allow evaluation in 0(log2N.log2n) time. Results of applying the method to models involving hard limiters and sine nonlinearities are presented. Savings of the number of parallel computations is achieved through the elimination of the hard precedence relationships involved in the classical time-march methods.

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Frequency Domain Relaxation of Power System Dynamics

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