Frequency-Domain Fitting Techniques: A Review

Jesus Morales Rodriguez, Edgar Medina, Jean Mahseredjian, Abner Ramirez, Keyhan Sheshyekani, Ilhan Kocar

Research output: Journal article publicationJournal articleAcademic researchpeer-review

17 Citations (Scopus)


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.

Original languageEnglish
Article number8784169
Pages (from-to)1102-1110
Number of pages9
JournalIEEE Transactions on Power Delivery
Issue number3
Publication statusPublished - Jun 2020
Externally publishedYes


  • Frequency dependent network equivalents
  • Loewner matrix
  • matrix pencil method
  • singular value decomposition
  • vector fitting

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


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