Time domain harmonic state estimation in unbalanced power networks based on optimal number of meters and the principle of half-wave symmetry

Ismael Molina-Moreno, Aurelio Medina, Rafael Cisneros-Magaña, Olimpo Anaya-Lara

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5 Citations (Scopus)
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This study proposes a time domain methodology for harmonic state estimation (HSE) in power systems. The proposed methodology is formulated to analyse the unbalanced operation of three-phase power systems including non-linear loads. It takes into account the optimal number of measuring devices and exploits the property of half-wave symmetry in voltage and current waveforms to significantly reduce the computational effort of the solution process. The results obtained are in close agreement with the actual response obtained from the time domain power system simulation performed with the SimPowerSystems toolbox of Simulink®. Hence, the proposed methodology can adequately assess the harmonic state in unbalanced power systems. The results show a considerable reduction in the instrumentation resources and time processing needed for HSE in non-linear power networks.
Original languageEnglish
Pages (from-to)3871-3880
Number of pages10
JournalIET Generation, Transmission and Distribution
Issue number15
Early online date26 Jun 2017
Publication statusPublished - 19 Oct 2017



  • power system harmonics
  • power system measurement
  • time domain analysis

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