Uncertainty analysis of varying inertia estimation based on Bayesian method

Power system inertia is important for maintaining power system frequency stability. Because of the integration of renewable energy sources (RESs) and the complexity of power system frequency response, the power system inertia response becomes intricate and uncertainties in inertia estimation increas...

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Main Authors: Dongdong Li, Wei Hua, Yang Mi
Format: Article
Language:English
Published: Elsevier 2025-04-01
Series:International Journal of Electrical Power & Energy Systems
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0142061525000584
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author Dongdong Li
Wei Hua
Yang Mi
author_facet Dongdong Li
Wei Hua
Yang Mi
author_sort Dongdong Li
collection DOAJ
description Power system inertia is important for maintaining power system frequency stability. Because of the integration of renewable energy sources (RESs) and the complexity of power system frequency response, the power system inertia response becomes intricate and uncertainties in inertia estimation increase. The Bayesian inertia estimation method (BIEM) is proposed to estimate power system varying inertia and quantify estimation uncertainty from a Bayesian statistical and modeling perspective. Firstly, Bayesian linear regression with respect to time is applied to frequency which is measured at an event such as a generator trip or load change. Then the estimated inertia constant can be represented by a normal distribution, and the distribution can be further updated through Bayesian learning. Finally, performance and uncertainty of estimation can be evaluated by the proposed indices. The influence of power imbalance magnitude and frequency spatial distribution can also be analyzed. Moreover, the proposed method’s validity can be demonstrated by implementing Kundur’s four-generator two-area system in Simulink and the IEEE 39-bus New England system in the DIgSILENT PowerFactory.
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institution Kabale University
issn 0142-0615
language English
publishDate 2025-04-01
publisher Elsevier
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series International Journal of Electrical Power & Energy Systems
spelling doaj-art-9bdb5d29c61e4bb2a3b4ab5dd1e52a2b2025-02-07T04:46:35ZengElsevierInternational Journal of Electrical Power & Energy Systems0142-06152025-04-01165110507Uncertainty analysis of varying inertia estimation based on Bayesian methodDongdong Li0Wei Hua1Yang Mi2College of Electric Engineering, Shanghai University of Electric Power, Shanghai 200090, ChinaCorresponding author.; College of Electric Engineering, Shanghai University of Electric Power, Shanghai 200090, ChinaCollege of Electric Engineering, Shanghai University of Electric Power, Shanghai 200090, ChinaPower system inertia is important for maintaining power system frequency stability. Because of the integration of renewable energy sources (RESs) and the complexity of power system frequency response, the power system inertia response becomes intricate and uncertainties in inertia estimation increase. The Bayesian inertia estimation method (BIEM) is proposed to estimate power system varying inertia and quantify estimation uncertainty from a Bayesian statistical and modeling perspective. Firstly, Bayesian linear regression with respect to time is applied to frequency which is measured at an event such as a generator trip or load change. Then the estimated inertia constant can be represented by a normal distribution, and the distribution can be further updated through Bayesian learning. Finally, performance and uncertainty of estimation can be evaluated by the proposed indices. The influence of power imbalance magnitude and frequency spatial distribution can also be analyzed. Moreover, the proposed method’s validity can be demonstrated by implementing Kundur’s four-generator two-area system in Simulink and the IEEE 39-bus New England system in the DIgSILENT PowerFactory.http://www.sciencedirect.com/science/article/pii/S0142061525000584Inertia constantEstimationFrequency regulationBayesian statistics
spellingShingle Dongdong Li
Wei Hua
Yang Mi
Uncertainty analysis of varying inertia estimation based on Bayesian method
International Journal of Electrical Power & Energy Systems
Inertia constant
Estimation
Frequency regulation
Bayesian statistics
title Uncertainty analysis of varying inertia estimation based on Bayesian method
title_full Uncertainty analysis of varying inertia estimation based on Bayesian method
title_fullStr Uncertainty analysis of varying inertia estimation based on Bayesian method
title_full_unstemmed Uncertainty analysis of varying inertia estimation based on Bayesian method
title_short Uncertainty analysis of varying inertia estimation based on Bayesian method
title_sort uncertainty analysis of varying inertia estimation based on bayesian method
topic Inertia constant
Estimation
Frequency regulation
Bayesian statistics
url http://www.sciencedirect.com/science/article/pii/S0142061525000584
work_keys_str_mv AT dongdongli uncertaintyanalysisofvaryinginertiaestimationbasedonbayesianmethod
AT weihua uncertaintyanalysisofvaryinginertiaestimationbasedonbayesianmethod
AT yangmi uncertaintyanalysisofvaryinginertiaestimationbasedonbayesianmethod