Probabilistic analysis and risk traceability of over-voltage for distribution networks based on global probabilistic voltage sensitivity

Highly penetrated distributed generations exacerbate over-voltage and increase the difficulty of voltage safety analysis in distribution networks. This study proposes a method for over-voltage probabilistic analysis and risk traceability based on global probabilistic voltage sensitivity (GPVS). Firs...

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Main Authors: Ren Zhang, Jian Wang, Zhihao Yang, Haoming Liu, Funian Hu
Format: Article
Language:English
Published: Elsevier 2025-09-01
Series:International Journal of Electrical Power & Energy Systems
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Online Access:http://www.sciencedirect.com/science/article/pii/S0142061525004041
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author Ren Zhang
Jian Wang
Zhihao Yang
Haoming Liu
Funian Hu
author_facet Ren Zhang
Jian Wang
Zhihao Yang
Haoming Liu
Funian Hu
author_sort Ren Zhang
collection DOAJ
description Highly penetrated distributed generations exacerbate over-voltage and increase the difficulty of voltage safety analysis in distribution networks. This study proposes a method for over-voltage probabilistic analysis and risk traceability based on global probabilistic voltage sensitivity (GPVS). First, a global voltage sensitivity analytical (GVSA) model is constructed based on the node-shared impedance. The Gaussian mixture models (GMMs) of forecasting errors are affine transformed based on the GVSA model to construct the probability models of voltage fluctuation components. Then, based on the characteristic function of GMM, the GPVS model for voltage fluctuation under the influence of source-load uncertainty is derived, which provides an analytical perspective for explaining the impact mechanism of source-load uncertainty on node voltage. Meanwhile, a comprehensive contribution degree index for node voltage deviation is constructed using the parameters of the GPVS model, which quantifies the influence weight of power uncertainty on node voltage deviation. Finally, the probability of node over-voltage is calculated using the GPVS model, and the key nodes that cause the risk of node voltage deviation are traced. The case study results show that the proposed method can characterize the non-Gaussian distribution characteristics of voltage fluctuations, quickly calculate the probability of node over-voltage, and trace the key risk nodes that cause node voltage deviation.
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series International Journal of Electrical Power & Energy Systems
spelling doaj-art-c92730e72d6f4aa290a4071b67c375dd2025-08-20T03:41:46ZengElsevierInternational Journal of Electrical Power & Energy Systems0142-06152025-09-0117011085610.1016/j.ijepes.2025.110856Probabilistic analysis and risk traceability of over-voltage for distribution networks based on global probabilistic voltage sensitivityRen Zhang0Jian Wang1Zhihao Yang2Haoming Liu3Funian Hu4School of Electrical and Control Engineering, Xuzhou University of Technology, Xuzhou, China; Corresponding authors.School of Electrical and Power Engineering, Hohai University, Nanjing, China; Corresponding authors.College of electrical, energy and power engineering, Yangzhou University, Yangzhou, ChinaSchool of Electrical and Power Engineering, Hohai University, Nanjing, ChinaSchool of Electrical Engineering and Automation, Jangsu Normal University, Xuzhou, ChinaHighly penetrated distributed generations exacerbate over-voltage and increase the difficulty of voltage safety analysis in distribution networks. This study proposes a method for over-voltage probabilistic analysis and risk traceability based on global probabilistic voltage sensitivity (GPVS). First, a global voltage sensitivity analytical (GVSA) model is constructed based on the node-shared impedance. The Gaussian mixture models (GMMs) of forecasting errors are affine transformed based on the GVSA model to construct the probability models of voltage fluctuation components. Then, based on the characteristic function of GMM, the GPVS model for voltage fluctuation under the influence of source-load uncertainty is derived, which provides an analytical perspective for explaining the impact mechanism of source-load uncertainty on node voltage. Meanwhile, a comprehensive contribution degree index for node voltage deviation is constructed using the parameters of the GPVS model, which quantifies the influence weight of power uncertainty on node voltage deviation. Finally, the probability of node over-voltage is calculated using the GPVS model, and the key nodes that cause the risk of node voltage deviation are traced. The case study results show that the proposed method can characterize the non-Gaussian distribution characteristics of voltage fluctuations, quickly calculate the probability of node over-voltage, and trace the key risk nodes that cause node voltage deviation.http://www.sciencedirect.com/science/article/pii/S0142061525004041Distribution networkGaussian mixture modelGlobal probabilistic voltage sensitivityOver-voltage probabilityRisk traceability
spellingShingle Ren Zhang
Jian Wang
Zhihao Yang
Haoming Liu
Funian Hu
Probabilistic analysis and risk traceability of over-voltage for distribution networks based on global probabilistic voltage sensitivity
International Journal of Electrical Power & Energy Systems
Distribution network
Gaussian mixture model
Global probabilistic voltage sensitivity
Over-voltage probability
Risk traceability
title Probabilistic analysis and risk traceability of over-voltage for distribution networks based on global probabilistic voltage sensitivity
title_full Probabilistic analysis and risk traceability of over-voltage for distribution networks based on global probabilistic voltage sensitivity
title_fullStr Probabilistic analysis and risk traceability of over-voltage for distribution networks based on global probabilistic voltage sensitivity
title_full_unstemmed Probabilistic analysis and risk traceability of over-voltage for distribution networks based on global probabilistic voltage sensitivity
title_short Probabilistic analysis and risk traceability of over-voltage for distribution networks based on global probabilistic voltage sensitivity
title_sort probabilistic analysis and risk traceability of over voltage for distribution networks based on global probabilistic voltage sensitivity
topic Distribution network
Gaussian mixture model
Global probabilistic voltage sensitivity
Over-voltage probability
Risk traceability
url http://www.sciencedirect.com/science/article/pii/S0142061525004041
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AT haomingliu probabilisticanalysisandrisktraceabilityofovervoltagefordistributionnetworksbasedonglobalprobabilisticvoltagesensitivity
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