1. Electromagnetic Transient Analysis of Transmission Line Based on Rational Krylov Approximation
- Author
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Tromeur DERVOUT, Damien, Mouhaidali, Amjad, Tromeur-Dervout, Damien, Chadebec, Olivier, Guichon, Jean-Michel, Silvant, Sebastien, Institut Camille Jordan [Villeurbanne] (ICJ), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université Jean Monnet [Saint-Étienne] (UJM)-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Institut National des Sciences Appliquées (INSA)-Université de Lyon-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS), SuperGrid Institute SAS, Laboratoire de Génie Electrique de Grenoble (G2ELab ), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP ), and Université Grenoble Alpes (UGA)
- Subjects
Admittance ,Computer science ,[SPI.NRJ]Engineering Sciences [physics]/Electric power ,020208 electrical & electronic engineering ,Line model ,Energy Engineering and Power Technology ,Approximation algorithm ,020302 automobile design & engineering ,02 engineering and technology ,Transmission system ,transmission line model ,Transient analysis ,rational krylov approximation ,Electric power transmission ,0203 mechanical engineering ,Transmission line ,ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION ,Convergence (routing) ,Electromagnetic transient ,0202 electrical engineering, electronic engineering, information engineering ,frequency depen- dency ,Applied mathematics ,passivity ,Vector fitting ,Electrical and Electronic Engineering - Abstract
International audience; This paper shows a comparison between Vector fitting and rational Krylov fitting techniques for the determination of rational models concerning the fitting accuracy, the computational performances and the model order. Primarily, the mathematics behind the second technique are presented. It should be noted that rational Krylov fitting have never been used in transmission line modeling. A new procedure is proposed to use rational Krylov fitting instead of vector fitting in the universal line model (ULM). Furthermore, it is demonstrated that this procedure has several advantages over the traditional one. Two illustrative examples involving a transmission system are presented for validation of the new procedure.
- Published
- 2021