Performance of power systems under sustained random perturbations
type: Item
instance of: scholarly article
title: Performance of power systems under sustained random perturbations
zbMATH Open document ID: 1407.93294
DOI: 10.1155/2014/432548
author: Xianqiang Yang
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper studies linear systems under sustained additive random perturbations. The stable operating point of an electric power system is replaced by an attracting stationary solution if the system is subjected to (small) random additive perturbations. The invariant distribution of this stationary solution gives rise to several performance indices that measure how well the system copes with the randomness. These indices are introduced, showing how they can be used for the optimal tuning of system parameters in the presence of noise. Results on a four-generator two-area system are presented and discussed.
Mathematics Subject Classification ID: 93C95
Mathematics Subject Classification ID: 93E20
Mathematics Subject Classification ID: 34F05
Mathematics Subject Classification ID: 60H10
zbMATH DE Number: 7016438
Wikidata QID: Q59067173
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/432548
OpenAlex ID: W2098297586
cites work: Q5749640
cites work: Measure Theory and Probability Theory
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cites work: Recurrence and invariant measures for degenerate diffusions
cites work: On unique ergodicity for degenerate diffusions
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description: scientific article; zbMATH DE number 7016438