Estimation of Harmonics in Partly Monitored Residential Distribution Networks With Unknown Parameters and Topology

Pablo Rodrıguez-Pajaron, araceli Hernandez-Bayo, Jovica V. Milanovic

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The generalized adoption of power-electronic-based loads in residential networks is leading to increasing concern about harmonic distortion levels. At the same time, residential distribution systems are insufficiently monitored to provide a reliable analysis of harmonic limits compliance at the point of common coupling of customers. To address this problem, this paper proposes a practical method to estimate voltage harmonic levels in real time at all connection points of residential consumers. The proposed methodology assumes unknown network parameters and topology according to the limited data availability which is usual in low voltage residential networks. The proposed harmonic estimation method uses information gathered from conventional smart meters typically installed in the network (which register fundamental voltage and power) and from a reduced number of installed power quality monitors. A penetration of power quality meters below 10% has proved to provide accurate estimations of voltage harmonic levels at the whole network. The paper also proposes a methodology to optimally locate these power quality meters in the network. Validation of the methodology is performed in two different European distribution test networks with 55 buses and 471 obtaining satisfactory results. The method’s robustness and the parameters affecting accuracy are also analyzed in the article.
Original languageEnglish
Pages (from-to)3014-3027
Number of pages14
JournalIEEE Transactions on Smart Grid
Issue number4
Early online date2 Mar 2022
Publication statusPublished - 1 Jul 2022


  • distribution network
  • harmonic distortion
  • power quality
  • probabilistic analysis
  • residential distribution system
  • unknown parameters


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