TY - JOUR
T1 - Frequency-Domain Fitting Techniques
T2 - A Review
AU - Morales Rodriguez, Jesus
AU - Medina, Edgar
AU - Mahseredjian, Jean
AU - Ramirez, Abner
AU - Sheshyekani, Keyhan
AU - Kocar, Ilhan
N1 - Funding Information:
Manuscript received January 20, 2019; revised April 16, 2019 and June 23, 2019; accepted July 29, 2019. Date of publication August 1, 2019; date of current version May 21, 2020. This work was supported in part by NSERC, in part by Hydro-Québec, in part by RTE, in part by EDF, and in part by OPAL-RT as part of the industrial chair “Multi time-frame simulation of transients for large scale power systems.” Paper no. TPWRD-00085-2019. (Corresponding author: Jean Mahseredjian.) J. Morales Rodriguez, J. Mahseredjian, K. Sheshyekani, and I. Kocar are with the Power Systems Department, Polytechnique de Montreal, Mon-tréal, QC H3C 3A7, Canada (e-mail: [email protected]; [email protected]; [email protected]; ilhan.kocar @polymtl.ca).
Publisher Copyright:
© 2019 IEEE.
PY - 2020/6
Y1 - 2020/6
N2 - This paper presents a theoretical review and comparisons between vector fitting, matrix-pencil-method, and Loewner matrix techniques for the fitting of frequency-domain functions. Firstly, the theoretical fundaments of each technique are briefly reviewed. Secondly, their computational performances and fitting accuracy are compared through different case studies. As for Loewner Matrix method, a novel implementation is proposed for a fair comparison with the other two techniques. Moreover, it is demonstrated that this novel implementation has some advantages over the traditional one. Finally, global remarks and recommendations are specified to take advantage of the capabilities exhibited by each technique.
AB - This paper presents a theoretical review and comparisons between vector fitting, matrix-pencil-method, and Loewner matrix techniques for the fitting of frequency-domain functions. Firstly, the theoretical fundaments of each technique are briefly reviewed. Secondly, their computational performances and fitting accuracy are compared through different case studies. As for Loewner Matrix method, a novel implementation is proposed for a fair comparison with the other two techniques. Moreover, it is demonstrated that this novel implementation has some advantages over the traditional one. Finally, global remarks and recommendations are specified to take advantage of the capabilities exhibited by each technique.
KW - Frequency dependent network equivalents
KW - Loewner matrix
KW - matrix pencil method
KW - singular value decomposition
KW - vector fitting
UR - http://www.scopus.com/inward/record.url?scp=85070710677&partnerID=8YFLogxK
U2 - 10.1109/TPWRD.2019.2932395
DO - 10.1109/TPWRD.2019.2932395
M3 - Journal article
AN - SCOPUS:85070710677
SN - 0885-8977
VL - 35
SP - 1102
EP - 1110
JO - IEEE Transactions on Power Delivery
JF - IEEE Transactions on Power Delivery
IS - 3
M1 - 8784169
ER -