Milano, FedericoFedericoMilanoDassios, Ioannis K.Ioannis K.Dassios2019-05-232019-05-232017 IEEE2017-03-07IEEE Transactions on Power Systems0885-8950http://hdl.handle.net/10197/10649The 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.en© 2017 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.Small-signal stability analysisGeneralized eigenvalue problemDualityDifferential algebraic equationsMatrix pencilJournal Article3264626463510.1109/TPWRS.2017.26791282019-05-22SFI/15/IA/3074SFI/09/SRC/E1780PCIG14-GA2013-630811https://creativecommons.org/licenses/by-nc-nd/3.0/ie/