Constructing analytical energy functions for lossless network-reduction power system models: Framework and new developments
type: Item
instance of: scholarly article
title: Constructing analytical energy functions for lossless network-reduction power system models: Framework and new developments
zbMATH Open document ID: 0949.93061
DOI: 10.1007/BF01206541
author: Chia-Chi Chu
author: Hsiao-Dong Chiang
published in: Circuits, Systems, and Signal Processing
publication date: 1999-11-23T00:00:00Z
review text: The stability of Electric Power Systems (EPS) has been always of constant interest. In expressing the behaviour of such systems, energy or power equalities rather than voltages or current ones are used. Therefore, the nonlinearities appear through quadratic forms in voltages. In the literature several models for describing EPS are used. The present paper provides an energy function approach. First, a compact canonical form of equations (I) including the previously known model is presented, with the assumption of losslessness of the transmitting networks. Starting from the system (I), a new set of equations (II) is introduced. Then a theorem relating the hyperbolicity of equilibrium points of (I) in terms of those of (II) is proved. Next, it is shown that for equations (II) there exists always an energy function allowing to characterize the equilibrium points. Finally, the energy function for a one-axis generator with a simplified exitator model is presented. The paper obviously brings a new interesting point of view into the field of stability of EPS.
Mathematics Subject Classification ID: 93C95
Mathematics Subject Classification ID: 93B11
Mathematics Subject Classification ID: 93D20
zbMATH DE Number: 1343553
zbMATH Keywords: electric power systems
zbMATH Keywords: stability
zbMATH Keywords: quadratic forms in voltages
zbMATH Keywords: energy function
zbMATH Keywords: losslessness
zbMATH Keywords: hyperbolicity of equilibrium points
reviewed by: Dumitru Stanomir
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01206541
OpenAlex ID: W1987072835
description: scientific article; zbMATH DE number 1343553