Electromagnetic Transient Analysis of Transmission Line Based on Rational Krylov Approximation

• Published in: IEEE transactions on power delivery Vol. 36; no. 5; pp. 2913 - 2920
• Main Authors: Mouhaidali, Amjad, Tromeur-Dervout, Damien, Chadebec, Olivier, Guichon, Jean-Michel, Silvant, Sebastien
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.10.2021; The Institute of Electrical and Electronics Engineers, Inc. (IEEE); Institute of Electrical and Electronics Engineers
• Subjects: Admittance; Approximation algorithms; Computational modeling; Convergence; Electric power; Electromagnetic transient; Engineering Sciences; frequency depend- ency; Mathematical model; passivity; Power transmission lines; rational krylov approximation; Transient analysis; Transmission line matrix methods; transmission line model; Transmission-line matrix; vector fitting; rational krylov approximation; frequency depen- dency; passivity; Vector fitting; Electromagnetic transient; transmission line model
• ISSN: 0885-8977; 1937-4208
• DOI: 10.1109/TPWRD.2020.3029676

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.