Data-driven Static Equivalence with Physics-informed Koopman Operators

With deployment of measurement units, fitting static equivalent models of distribution networks (DNs) by linear regression has been recognized as an effective method in power flow analysis of a transmission network. Increasing volatility of measurements caused by variable distributed renewable energ...

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Main Authors: Wei Lin, Changhong Zhao, Maosheng Gao, C. Y. Chung
Format: Article
Language:English
Published: China electric power research institute 2024-01-01
Series:CSEE Journal of Power and Energy Systems
Subjects:
Online Access:https://ieeexplore.ieee.org/document/10106204/
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author Wei Lin
Changhong Zhao
Maosheng Gao
C. Y. Chung
author_facet Wei Lin
Changhong Zhao
Maosheng Gao
C. Y. Chung
author_sort Wei Lin
collection DOAJ
description With deployment of measurement units, fitting static equivalent models of distribution networks (DNs) by linear regression has been recognized as an effective method in power flow analysis of a transmission network. Increasing volatility of measurements caused by variable distributed renewable energy sources makes it more difficult to accurately fit such equivalent models. To tackle this challenge, this letter proposes a novel data-driven method to improve equivalency accuracy of DNs with distributed energy resources. This letter provides a new perspective that an equivalent model can be regarded as a mapping from internal conditions and border voltages to border power injections. Such mapping can be established through 1) Koopman operator theory, and 2) physical features of power flow equations at the root node of a DN. Performance of the proposed method is demonstrated on the IEEE 33-bus and IEEE 136-bus test systems connected to a 661-bus utility system.
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institution OA Journals
issn 2096-0042
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publishDate 2024-01-01
publisher China electric power research institute
record_format Article
series CSEE Journal of Power and Energy Systems
spelling doaj-art-6c1cc0ba4208456d865cae2d4abcc0a82025-08-20T01:51:39ZengChina electric power research instituteCSEE Journal of Power and Energy Systems2096-00422024-01-0110143243810.17775/CSEEJPES.2022.0875010106204Data-driven Static Equivalence with Physics-informed Koopman OperatorsWei Lin0Changhong Zhao1Maosheng Gao2C. Y. Chung3The Hong Kong Polytechnic University,Department of Electrical Engineering,Hong Kong SAR,ChinaThe Chinese University of Hong Kong,Department of Information Engineering,Hong Kong SAR,ChinaSchool of Electrical Engineering, Chongqing University,Chongqing,China,400044The Hong Kong Polytechnic University,Department of Electrical Engineering,Hong Kong SAR,ChinaWith deployment of measurement units, fitting static equivalent models of distribution networks (DNs) by linear regression has been recognized as an effective method in power flow analysis of a transmission network. Increasing volatility of measurements caused by variable distributed renewable energy sources makes it more difficult to accurately fit such equivalent models. To tackle this challenge, this letter proposes a novel data-driven method to improve equivalency accuracy of DNs with distributed energy resources. This letter provides a new perspective that an equivalent model can be regarded as a mapping from internal conditions and border voltages to border power injections. Such mapping can be established through 1) Koopman operator theory, and 2) physical features of power flow equations at the root node of a DN. Performance of the proposed method is demonstrated on the IEEE 33-bus and IEEE 136-bus test systems connected to a 661-bus utility system.https://ieeexplore.ieee.org/document/10106204/Data-drivendistribution networkKoopman operator theorystatic equivalent model
spellingShingle Wei Lin
Changhong Zhao
Maosheng Gao
C. Y. Chung
Data-driven Static Equivalence with Physics-informed Koopman Operators
CSEE Journal of Power and Energy Systems
Data-driven
distribution network
Koopman operator theory
static equivalent model
title Data-driven Static Equivalence with Physics-informed Koopman Operators
title_full Data-driven Static Equivalence with Physics-informed Koopman Operators
title_fullStr Data-driven Static Equivalence with Physics-informed Koopman Operators
title_full_unstemmed Data-driven Static Equivalence with Physics-informed Koopman Operators
title_short Data-driven Static Equivalence with Physics-informed Koopman Operators
title_sort data driven static equivalence with physics informed koopman operators
topic Data-driven
distribution network
Koopman operator theory
static equivalent model
url https://ieeexplore.ieee.org/document/10106204/
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AT changhongzhao datadrivenstaticequivalencewithphysicsinformedkoopmanoperators
AT maoshenggao datadrivenstaticequivalencewithphysicsinformedkoopmanoperators
AT cychung datadrivenstaticequivalencewithphysicsinformedkoopmanoperators