Estimate the Probability Distribution of Imbalance-Induced Energy Loss with Minimal Data

Han Wu, Yue Yuan, Kang Ma, Lurui Fang

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Imbalance-induced energy loss accounts for a significant part of energy loss in low-voltage distribution networks. However, due to the prohibitive cost of full monitoring, high-resolution time-series data of low-voltage feeder currents are usually absent for accurate energy loss computation. This letter presents a novel method to estimate the probability distribution of imbalance-induced energy loss. In the proposed method, only the line resistance and statistical data (mean and covariance) of the phase currents are required to estimate imbalanced networks energy loss. Furthermore, a Bayesian statistics-based data-driven method is also proposed to get the mean and covariance value of phase current with minimal measurements. Numerical tests on a real three-phase imbalanced circuit show the proposed approach obtains the probability distribution of imbalance-induced energy loss with a low estimating error and low field measurement frequency.

Original languageEnglish
Article number9363568
Pages (from-to)1-1
Number of pages1
JournalIEEE Transactions on Power Systems
Early online date25 Feb 2021
Publication statusE-pub ahead of print - 25 Feb 2021


  • Bayes methods
  • Current measurement
  • Distribution networks
  • distribution system
  • Energy loss
  • Energy losses
  • Low voltage
  • Mathematical model
  • phase residual current
  • probability
  • Probability distribution

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering

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