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Primal and Dual Generalized Eigenvalue Problems for Power Systems Small-Signal Stability Analysis
Milano, Federico; Dassios, Ioannis K.
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. European Commission Science Foundation Ireland
Keyword(s): Small-signal stability analysis; Generalized eigenvalue problem; Duality; Differential algebraic equations; Matrix pencil
Publication Date:
2019
Type: Journal article
Peer-Reviewed: Unknown
Language(s): English
Institution: University College Dublin
Publisher(s): Institute of Electrical and Electronics Engineers (IEEE)
First Indexed: 2019-05-25 06:15:14 Last Updated: 2019-05-25 06:15:14