Iterative solver techniques in fast dynamic calculations of power systems

A. Y. Kulkarni, M. A. Pai, P. W. Sauer

Research output: Contribution to journalArticlepeer-review


In this paper, iterative solver techniques belonging to the family of conjugate-gradient methods for solving the system of linear equations, Ax = b, are discussed. Specifically, we consider the Bi-Conjugate Gradient (BCG) Method, CGS Method, CGSTAB Method and the Generalized Minimal Residual Method (GMRES), which can handle unsymmetric matrices. In transient stability simulations, sparse matrices occur during the solution process of the differential-algebraic equations (DAEs) by the simultaneous implicit (SI) method. This paper investigates the effects of a new preconditioning technique, the dishonest preconditioner, on these methods. All of these methods are inherently vectorizable/parallelizable.

Original languageEnglish (US)
Pages (from-to)237-244
Number of pages8
JournalInternational Journal of Electrical Power and Energy System
Issue number3
StatePublished - Mar 1 2001

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


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