Primal and Dual Generalized Eigenvalue Problems for Power Systems Small-Signal Stability Analysis

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Title: Primal and Dual Generalized Eigenvalue Problems for Power Systems Small-Signal Stability Analysis
Authors: Milano, Federico
Dassios, Ioannis K.
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Date: 7-Mar-2017
Online since: 2019-05-23T14:02:34Z
Abstract: The paper presents a comprehensive study of small-signal stability analysis of power systems based on matrix pencils and the generalized eigenvalue problem. Both primal and dual formulations of the generalized eigenvalue problem are considered and solved through a variety of state-of-the-art solvers. The paper also discusses the impact on the performance of the solvers of two formulations of the equations modelling the power systems, namely, the explicit and semi-implicit form of differential-algebraic equations. The case study illustrates the theoretical aspects and numerical features of these formulations and solvers through two real-world systems, namely, a 1,479-bus model of the all-island Irish system, and a 21,177-bus model of the ENTSO-E network.
Funding Details: European Commission
Science Foundation Ireland
Type of material: Journal Article
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Journal: IEEE Transactions on Power Systems
Volume: 32
Issue: 6
Start page: 4626
End page: 4635
Copyright (published version): 2017 IEEE
Keywords: Small-signal stability analysisGeneralized eigenvalue problemDualityDifferential algebraic equationsMatrix pencil
DOI: 10.1109/TPWRS.2017.2679128
Language: en
Status of Item: Peer reviewed
Appears in Collections:Electrical and Electronic Engineering Research Collection

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