Electromagnetic Transient Analysis of Transmission line based on rational Krylov approximation

Amjad Mouhaidali (1, 2) , Damien Tromeur-Dervout (3, 4) , Olivier Chadebec (2) , Jean-Michel Guichon (2) , Sebastien Silvant (1)

1 SuperGrid Institute SAS
2 G2ELab - Laboratoire de Génie Electrique de Grenoble
3 ICJ - Institut Camille Jordan
4 MMCS - Modélisation mathématique, calcul scientifique

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.

Mots clés: frequency depen- dency; rational krylov approximation; Vector fitting; transmission line model; passivity; Electromagnetic transient

Domaines: Energie électrique

Amjad Mouhaidali, Damien Tromeur-Dervout, Olivier Chadebec, Jean-Michel Guichon, Sebastien Silvant. Electromagnetic Transient Analysis of Transmission line based on rational Krylov approximation. IEEE Transactions on Power Delivery, 2021, 36 (5), pp.2913-2920. ⟨10.1109/TPWRD.2020.3029676⟩. ⟨hal-02995214⟩