Bivariate stochastic model of current harmonic analysis in the low voltage distribution grid

Muhammad Naveed Iqbal*, Lauri Kütt, Kamran Daniel, Marek Jarkovoi, Bilal Asad, Noman Shabbir

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

1 Citation (Scopus)
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This paper presents a bottom-up bivariate analysis approach to estimate current harmonics by taking account of network and load variations. The current harmonics assessment in the presence of existing and future nonlinear loads is vital to study their impact on the distribution grid. The traditional harmonic analysis models consider only stable loads while neglecting the harmonic interaction among the devices. Modern nonlinear loads operate under different working modes and configurations. Thermal stability, harmonic cancellation, and dynamic network parameters influence the current harmonic estimations. In this paper, a probabilistic approach is presented to model harmonic emission in the low voltage distribution grid under network and load uncertainties. A case study is used to demonstrate effectiveness of the proposed model.

Original languageEnglish
Pages (from-to)190-206
Number of pages17
JournalProceedings of the Estonian Academy of Sciences
Issue number2
Publication statusPublished - 2021
MoE publication typeA1 Journal article-refereed


  • Current harmonics
  • Load modelling
  • Network uncertainties
  • Probabilistic assessment


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