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

Han Wu, Yue Yuan, Kang Ma, Lurui Fang

Research output: Contribution to journalArticlepeer-review

2 Citations (SciVal)
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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)378-3801
Number of pages3424
JournalIEEE Transactions on Power Systems
Issue number4
Early online date25 Feb 2021
Publication statusPublished - 31 Jul 2021

Bibliographical note

Funding Information:
Manuscript received August 25, 2020; revised December 1, 2020 and January 12, 2021; accepted February 14, 2021. Date of publication February 25, 2021; date of current version June 18, 2021. This work was supported by the National Key Research and Development Program of China under Grant 2016YFB0900100. Paper no. PESL-00248-2020. (Corresponding author: Han Wu.) Han Wu and Yue Yuan are with the College of Energy and Electrical Engineering, Hohai University, Nanjing 211100, China (e-mail:;

Publisher Copyright:
© 1969-2012 IEEE.


  • Distribution system
  • Energy losses
  • Phase residual current
  • Probability

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


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