Power system frequency estimation by using a Newton-type technique for smart meters

Md. Shamim Reza, Mihai Ciobotaru, Vassilios G. Agelidis

Research output: Contribution to journalArticlepeer-review

32 Citations (Scopus)


This paper proposes a single-phase grid voltage fundamental frequency estimation technique for smart meters. The technique relies on a nonlinear Newton-type algorithm and a recursive differentiation filter (NTA-DF). It can reject the negative effects caused by dc offset, harmonics, notches, and spikes. When compared with a NTA technique based on least-squares (NTA-LS), the proposed one reduces matrix dimensions, avoids matrix inversion, and is computationally efficient, thus requiring less hardware and associated cost for real-time implementation. Moreover, unlike the NTA-LS technique, the NTA-DF shows less sensitivity to the presence of harmonics. Simulation and experimental results are presented to verify the performance of the proposed technique.
Original languageEnglish
Pages (from-to)615-624
Number of pages10
JournalIEEE Transactions on Instrumentation and Measurement
Issue number3
Publication statusPublished - Mar 2015
Externally publishedYes


  • Frequency estimation
  • Newton-type algorithm (NTA)
  • single-phase voltage system
  • smart grid
  • smart meters (SMs)


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