Evaluation of probabilistic model solving methods for modern power electronic distribution networks with wind power integration

The emergence of more and more power electronic loads and Distributed Generation (DG) presents many challenges to the reliable operation of Distribution Networks (DN). The uncertainties of power electronic loads and DGs have increasingly profound impacts on distribution networks. Currently, probabil...

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Main Authors: Wenhao Li, Yang Han, Yingjun Feng, Siyu Zhou, Ping Yang, Congling Wang, Amr S. Zalhaf
Format: Article
Language:English
Published: Elsevier 2023-03-01
Series:Energy Reports
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2352484723003803
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author Wenhao Li
Yang Han
Yingjun Feng
Siyu Zhou
Ping Yang
Congling Wang
Amr S. Zalhaf
author_facet Wenhao Li
Yang Han
Yingjun Feng
Siyu Zhou
Ping Yang
Congling Wang
Amr S. Zalhaf
author_sort Wenhao Li
collection DOAJ
description The emergence of more and more power electronic loads and Distributed Generation (DG) presents many challenges to the reliable operation of Distribution Networks (DN). The uncertainties of power electronic loads and DGs have increasingly profound impacts on distribution networks. Currently, probabilistic model solving methods for distribution networks often ignore the power quality and the unbalanced operation of the distribution network. Besides, the traditional Monte Carlo method is accurate, but the heavy calculation burden limits its application in practice. Therefore, the fast and accurate solving of probabilistic models of modern power electronic distribution networks urgently needs to be studied. Therefore, in this paper, a probability solving model for a three-phase unbalanced modern power electronic distribution network with DG integration is developed, and the probability model is solved using Point Estimation Method (PEM) combined with Gram–Charlier expansion and Monte Carlo Simulation (MCS). Besides, this paper presents a detailed analysis comparing the results of PEM and MCS solutions from the perspective of voltage, THD, and line loss. The results prove that the Probability density functions (PDFs) of the parameters obtained by the two methods are almost identical, and the relative errors of the indicators are less than 1%. Moreover, the PEM uses only 1.9% of the time taken by the traditional MCS method in solving modern probabilistic models of distribution networks with power electronic devices integration (wind power, EVC, .. etc.). It is shown that the PEM used in this paper, combined with Gram–Charlier expansion, is an accurate and efficient solving method for modern distribution networks, providing a reference for subsequent research.
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spelling doaj.art-b3a4ca9ed9f8451fb878024693813c6c2023-04-20T04:37:19ZengElsevierEnergy Reports2352-48472023-03-01911591171Evaluation of probabilistic model solving methods for modern power electronic distribution networks with wind power integrationWenhao Li0Yang Han1Yingjun Feng2Siyu Zhou3Ping Yang4Congling Wang5Amr S. Zalhaf6School of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China; Corresponding authors.School of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China; Electrical Power and Machines Engineering Department, Tanta University, Tanta 31511, Egypt; Corresponding authors.The emergence of more and more power electronic loads and Distributed Generation (DG) presents many challenges to the reliable operation of Distribution Networks (DN). The uncertainties of power electronic loads and DGs have increasingly profound impacts on distribution networks. Currently, probabilistic model solving methods for distribution networks often ignore the power quality and the unbalanced operation of the distribution network. Besides, the traditional Monte Carlo method is accurate, but the heavy calculation burden limits its application in practice. Therefore, the fast and accurate solving of probabilistic models of modern power electronic distribution networks urgently needs to be studied. Therefore, in this paper, a probability solving model for a three-phase unbalanced modern power electronic distribution network with DG integration is developed, and the probability model is solved using Point Estimation Method (PEM) combined with Gram–Charlier expansion and Monte Carlo Simulation (MCS). Besides, this paper presents a detailed analysis comparing the results of PEM and MCS solutions from the perspective of voltage, THD, and line loss. The results prove that the Probability density functions (PDFs) of the parameters obtained by the two methods are almost identical, and the relative errors of the indicators are less than 1%. Moreover, the PEM uses only 1.9% of the time taken by the traditional MCS method in solving modern probabilistic models of distribution networks with power electronic devices integration (wind power, EVC, .. etc.). It is shown that the PEM used in this paper, combined with Gram–Charlier expansion, is an accurate and efficient solving method for modern distribution networks, providing a reference for subsequent research.http://www.sciencedirect.com/science/article/pii/S2352484723003803Electronic distribution networkHarmonic distortionPEMMCS
spellingShingle Wenhao Li
Yang Han
Yingjun Feng
Siyu Zhou
Ping Yang
Congling Wang
Amr S. Zalhaf
Evaluation of probabilistic model solving methods for modern power electronic distribution networks with wind power integration
Energy Reports
Electronic distribution network
Harmonic distortion
PEM
MCS
title Evaluation of probabilistic model solving methods for modern power electronic distribution networks with wind power integration
title_full Evaluation of probabilistic model solving methods for modern power electronic distribution networks with wind power integration
title_fullStr Evaluation of probabilistic model solving methods for modern power electronic distribution networks with wind power integration
title_full_unstemmed Evaluation of probabilistic model solving methods for modern power electronic distribution networks with wind power integration
title_short Evaluation of probabilistic model solving methods for modern power electronic distribution networks with wind power integration
title_sort evaluation of probabilistic model solving methods for modern power electronic distribution networks with wind power integration
topic Electronic distribution network
Harmonic distortion
PEM
MCS
url http://www.sciencedirect.com/science/article/pii/S2352484723003803
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