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

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

doi:10.1109/81.780380

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

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

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

Abstract

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 language	English (US)
Pages (from-to)	1003-1011
Number of pages	9
Journal	IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Volume	46
Issue number	8
DOIs	https://doi.org/10.1109/81.780380
State	Published - 1999
Externally published	Yes

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/81.780380

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abstract = "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.",

author = "Lesieutre, {Bernard C.} and Sauer, {Peter W.} and Pai, {M. A.}",

note = "Funding Information: Manuscript received June 27, 1996; revised February 19, 1998. This work was supported in part by the Grainger Foundation Endowments to the University of Illinois and in part by the University of Illinois Power Affiliates Program, the EPRI under Project 8010-21, and the NSF under Project ECS-9409676. This paper was recommended by Associate Editor A. Ioinovici.",

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AU - Lesieutre, Bernard C.

AU - Sauer, Peter W.

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PY - 1999

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

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