Estimating the frequency coupling matrix from network measurements

Antoine Lesage-Landry, Siyu Chen, Joshua A. Taylor

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Power converters are present in increasing numbers in the electric power grid. They are a major source of harmonic currents and voltages, which can reduce power quality and trip protection devices. The frequency coupling matrix (FCM) is a general technique for modeling converter harmonics. It can be obtained through experimental characterization or, given a converter's internal parameters, direct calculation. In this paper, we estimate FCMs from network measurements. We give a novel harmonic reduction theorem for computing equivalent, virtual FCMs for unobservable portions of a network. We estimate FCMs and harmonic line admittances from phasor measurement unit measurements, and give an efficient online version for the FCM problem. We test our approaches on a numerical example, and show that the estimation error is low under noisy observations.

Original languageEnglish (US)
Article number8827654
Pages (from-to)724-733
Number of pages10
JournalIEEE Transactions on Control of Network Systems
Issue number2
StatePublished - Jun 2020
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Signal Processing
  • Computer Networks and Communications
  • Control and Optimization


  • Estimation
  • frequency coupling matrix (FCM)
  • harmonics
  • power systems


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