Harmonic and interharmonic phasor estimation using Matrix Pencil Method for phasor measurement units

Lakshan Bernard, Sunny Goondram, Behrooz Bahrani, Athanasios Pantelous, Reza Razzaghi

Research output: Contribution to journalArticleResearchpeer-review

3 Citations (Scopus)


This paper proposes a novel approach to estimate the fundamental frequency, harmonic and interharmonic phasors in power networks. The proposed method is based on the Matrix Pencil Method (MPM) and Principle Component Analysis (PCA). It estimates parameters of the Prony model that represents the measured signal under noisy conditions. The frequency decomposition feature of the MPM allows concurrent estimation of all frequency components (including all harmonics) of the signal without an additional computational cost. The performance of the proposed method is evaluated with respect to all the requirements defined in the IEEE Std. C37.118 for both M- and P-class phasor measurement units (PMUs). It is shown that the method is compliant with the operating conditions of both PMU classes and at the same time, is able to provide accurate harmonic phasor estimation.

Original languageEnglish
Article number9142233
Pages (from-to)945-954
Number of pages10
JournalIEEE Sensors Journal
Issue number2
Publication statusPublished - 15 Jan 2021


  • Matrix Pencil Method
  • Prony model
  • Phasor measurement unit (PMU)
  • harmonic phasor estimation
  • Estimation
  • Harmonic analysis
  • Power system harmonics
  • Frequency estimation
  • Computational modeling
  • Computational complexity

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