Probabilistic power flow calculation using principal component analysis-based compressive sensing

The increasing scale of the injection of renewable energy has brought about great uncertainty to the operation of power grid. In this situation, probabilistic power flow (PPF) calculation has been introduced to mitigate the low accuracy of traditional deterministic power flow calculation in describi...

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Main Authors: Tonghe Wang, Hong Liang, Junwei Cao, Yuming Zhao
Format: Article
Language:English
Published: Frontiers Media S.A. 2023-01-01
Series:Frontiers in Energy Research
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fenrg.2022.1056077/full
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author Tonghe Wang
Tonghe Wang
Hong Liang
Junwei Cao
Yuming Zhao
author_facet Tonghe Wang
Tonghe Wang
Hong Liang
Junwei Cao
Yuming Zhao
author_sort Tonghe Wang
collection DOAJ
description The increasing scale of the injection of renewable energy has brought about great uncertainty to the operation of power grid. In this situation, probabilistic power flow (PPF) calculation has been introduced to mitigate the low accuracy of traditional deterministic power flow calculation in describing the operation status and power flow distribution of power systems. Polynomial chaotic expansion (PCE) method has become popular in PPF analysis due to its high efficiency and accuracy, and sparse PCE has increased its capability of tackling the issue of dimension disaster. In this paper, we propose a principal component analysis-based compressive sensing (PCA-CS) algorithm solve the PPF problem. The l1-optimization of CS is used to tackle the dimension disaster of sparse PCE, and PCA is included to further increase the sparsity of expansion coefficient matrix. Theoretical and numerical simulation results show that the proposed method can effectively improve the efficiency of PPF calculation in the case of random inputs with higher dimensions.
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spelling doaj.art-bc3d7f84fe9e4f16998c1a23e7e3d4112023-01-16T04:16:09ZengFrontiers Media S.A.Frontiers in Energy Research2296-598X2023-01-011010.3389/fenrg.2022.10560771056077Probabilistic power flow calculation using principal component analysis-based compressive sensingTonghe Wang0Tonghe Wang1Hong Liang2Junwei Cao3Yuming Zhao4Guangzhou Institute of Energy Conversion, Chinese Academy of Sciences, Guangzhou, ChinaJiangsu Collaborative Innovation Center of Photovoltaic Science and Engineering, Changzhou University, Changzhou, ChinaMeihua Holdings Group Co., Ltd., Langfang, ChinaBeijing National Research Center for Information Science and Technology, Tsinghua University, Beijing, ChinaSchool of Computer Science and Software, Zhaoqing University, Zhaoqing, ChinaThe increasing scale of the injection of renewable energy has brought about great uncertainty to the operation of power grid. In this situation, probabilistic power flow (PPF) calculation has been introduced to mitigate the low accuracy of traditional deterministic power flow calculation in describing the operation status and power flow distribution of power systems. Polynomial chaotic expansion (PCE) method has become popular in PPF analysis due to its high efficiency and accuracy, and sparse PCE has increased its capability of tackling the issue of dimension disaster. In this paper, we propose a principal component analysis-based compressive sensing (PCA-CS) algorithm solve the PPF problem. The l1-optimization of CS is used to tackle the dimension disaster of sparse PCE, and PCA is included to further increase the sparsity of expansion coefficient matrix. Theoretical and numerical simulation results show that the proposed method can effectively improve the efficiency of PPF calculation in the case of random inputs with higher dimensions.https://www.frontiersin.org/articles/10.3389/fenrg.2022.1056077/fullprobabilistic power flowprincipal component analysiscompressive sensingrenewable energypolynomial chaos expansion
spellingShingle Tonghe Wang
Tonghe Wang
Hong Liang
Junwei Cao
Yuming Zhao
Probabilistic power flow calculation using principal component analysis-based compressive sensing
Frontiers in Energy Research
probabilistic power flow
principal component analysis
compressive sensing
renewable energy
polynomial chaos expansion
title Probabilistic power flow calculation using principal component analysis-based compressive sensing
title_full Probabilistic power flow calculation using principal component analysis-based compressive sensing
title_fullStr Probabilistic power flow calculation using principal component analysis-based compressive sensing
title_full_unstemmed Probabilistic power flow calculation using principal component analysis-based compressive sensing
title_short Probabilistic power flow calculation using principal component analysis-based compressive sensing
title_sort probabilistic power flow calculation using principal component analysis based compressive sensing
topic probabilistic power flow
principal component analysis
compressive sensing
renewable energy
polynomial chaos expansion
url https://www.frontiersin.org/articles/10.3389/fenrg.2022.1056077/full
work_keys_str_mv AT tonghewang probabilisticpowerflowcalculationusingprincipalcomponentanalysisbasedcompressivesensing
AT tonghewang probabilisticpowerflowcalculationusingprincipalcomponentanalysisbasedcompressivesensing
AT hongliang probabilisticpowerflowcalculationusingprincipalcomponentanalysisbasedcompressivesensing
AT junweicao probabilisticpowerflowcalculationusingprincipalcomponentanalysisbasedcompressivesensing
AT yumingzhao probabilisticpowerflowcalculationusingprincipalcomponentanalysisbasedcompressivesensing