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

Han Wu; Yue Yuan; Kang Ma; Lurui Fang

doi:10.1109/TPWRS.2021.3062217

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

Han Wu, Yue Yuan, Kang Ma, Lurui Fang

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Abstract

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 language	English
Article number	9363568
Pages (from-to)	378-3801
Number of pages	3424
Journal	IEEE Transactions on Power Systems
Volume	36
Issue number	4
Early online date	25 Feb 2021
DOIs	https://doi.org/10.1109/TPWRS.2021.3062217
Publication status	Published - 31 Jul 2021

Keywords

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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title = "Estimate the Probability Distribution of Imbalance-Induced Energy Loss with Minimal Data",

abstract = "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.",

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author = "Han Wu and Yue Yuan and Kang Ma and Lurui Fang",

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: wuhanichina@vip.qq.com; yyuan@hhu.edu.cn). Publisher Copyright: {\textcopyright} 1969-2012 IEEE.",

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N1 - 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: wuhanichina@vip.qq.com; yyuan@hhu.edu.cn). Publisher Copyright: © 1969-2012 IEEE.

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N2 - 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.

AB - 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.

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

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Keywords

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