A highly parallel method for transient stability analysis

Massimo La Scala, Anjan Bose, Daniel Tylavsky, Jian S. Chai

Research output: Contribution to journalArticlepeer-review

37 Scopus citations


In this paper, a new method for transient stability simulation is presented. The objective of this work is to exploit the maximum degree of parallelism that the problem presents. The transient stability problem can be seen as a coupled set of nonlinear algebraic and differential equations; by applying a discretization method such as the trapezoidal rule, the overall algebraic-differential set of equations is transformed into an unique algebraic problem at each time step. A solution that considers every time step, not in a sequential way, but concurrently, is suggested. The solution of this set of equations with a relaxation-type indirect method gives rise to a highly parallel algorithm. This parallelism consists of a parallelism in space (that is in the equations at each time step) and a parallelism in time. Another characteristic of the algorithm is that the time step can be changed between iterations using a nested iteration multigrid technique from a coarse time grid to the desired fine time grid to enhance the convergence of the algorithm. Also, this new method can handle all the typical dynamic models of realistic power system components. Test results are presented and compared with the sequential dishonest Newton algorithm for realistic power systems.

Original languageEnglish (US)
Pages (from-to)1439-1446
Number of pages8
JournalIEEE Transactions on Power Systems
Issue number4
StatePublished - Nov 1990


  • Trasient stability
  • dynamic
  • parallel algorithm
  • parallel processing
  • simulation

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


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