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Article

Comparison of Numerical Methods and Open-Source Libraries for Eigenvalue Analysis of Large-Scale Power Systems

School of Electrical and Electronic Engineering, University College Dublin, Belfield, Dublin 4, Ireland
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Author to whom correspondence should be addressed.
Appl. Sci. 2020, 10(21), 7592; https://doi.org/10.3390/app10217592
Received: 30 September 2020 / Revised: 21 October 2020 / Accepted: 24 October 2020 / Published: 28 October 2020
This paper discusses the numerical solution of the generalized non-Hermitian eigenvalue problem. It provides a comprehensive comparison of existing algorithms, as well as of available free and open-source software tools, which are suitable for the solution of the eigenvalue problems that arise in the stability analysis of electric power systems. The paper focuses, in particular, on methods and software libraries that are able to handle the large-scale, non-symmetric matrices that arise in power system eigenvalue problems. These kinds of eigenvalue problems are particularly difficult for most numerical methods to handle. Thus, a review and fair comparison of existing algorithms and software tools is a valuable contribution for researchers and practitioners that are interested in power system dynamic analysis. The scalability and performance of the algorithms and libraries are duly discussed through case studies based on real-world electrical power networks. These are a model of the All-Island Irish Transmission System with 8640 variables; and, a model of the European Network of Transmission System Operators for Electricity, with 146,164 variables. View Full-Text
Keywords: eigenvalue analysis; large non-Hermitian matrices; numerical methods; open-source libraries eigenvalue analysis; large non-Hermitian matrices; numerical methods; open-source libraries
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MDPI and ACS Style

Tzounas, G.; Dassios, I.; Liu, M.; Milano, F. Comparison of Numerical Methods and Open-Source Libraries for Eigenvalue Analysis of Large-Scale Power Systems. Appl. Sci. 2020, 10, 7592. https://doi.org/10.3390/app10217592

AMA Style

Tzounas G, Dassios I, Liu M, Milano F. Comparison of Numerical Methods and Open-Source Libraries for Eigenvalue Analysis of Large-Scale Power Systems. Applied Sciences. 2020; 10(21):7592. https://doi.org/10.3390/app10217592

Chicago/Turabian Style

Tzounas, Georgios, Ioannis Dassios, Muyang Liu, and Federico Milano. 2020. "Comparison of Numerical Methods and Open-Source Libraries for Eigenvalue Analysis of Large-Scale Power Systems" Applied Sciences 10, no. 21: 7592. https://doi.org/10.3390/app10217592

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