Existence of solutions for the network/load equations in power systems

Bernard C. Lesieutre, Peter W. Sauer, M. A. Pai

Research output: Contribution to journalArticlepeer-review


Virtually all power-system analysis algorithms require the solution of a network/load model. During a numerical simulation of medium- and long-term dynamic events, this model is solved at every timestep. In all cases it is important that there exist a solution to the model. In this paper we study the quasistatic network/load models for use in steady-state and dynamic power-system analyses and present a set of sufficient conditions which ensures that the network/load model is solvable for voltages and currents.

Original languageEnglish (US)
Pages (from-to)1003-1011
Number of pages9
JournalIEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Issue number8
StatePublished - 1999

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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