Frequency Domain Relaxation of Power System Dynamics

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

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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 languageEnglish (US)
Pages (from-to)652-658
Number of pages7
JournalIEEE Transactions on Power Systems
Issue number2
StatePublished - May 1990

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


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