Unit Commitment under Uncertainty using Data-Driven Optimization with Clustering Techniques

This paper proposes a novel robust unit commitment (UC) framework with data-driven disjunctive uncertainty sets for volatile wind power outputs, assisted by machine learning techniques. To flexibly identify the uncertainty space based on wind power forecast error data with disjunctive structures, th...

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Autores principales: Ning Zhao, Fengqi You
Formato: article
Lenguaje:EN
Publicado: AIDIC Servizi S.r.l. 2021
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Acceso en línea:https://doaj.org/article/c7f5f5a04f724a3c8f5deb83551205b6
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spelling oai:doaj.org-article:c7f5f5a04f724a3c8f5deb83551205b62021-11-15T21:46:59ZUnit Commitment under Uncertainty using Data-Driven Optimization with Clustering Techniques10.3303/CET21881992283-9216https://doaj.org/article/c7f5f5a04f724a3c8f5deb83551205b62021-11-01T00:00:00Zhttps://www.cetjournal.it/index.php/cet/article/view/11992https://doaj.org/toc/2283-9216This paper proposes a novel robust unit commitment (UC) framework with data-driven disjunctive uncertainty sets for volatile wind power outputs, assisted by machine learning techniques. To flexibly identify the uncertainty space based on wind power forecast error data with disjunctive structures, the uncertainty data are grouped using K-means and density-based spatial clustering of applications with noise following the optimal cluster number determined by the Calinski-Harabasz index. The disjunctive uncertainty sets are constructed accordingly as the union of multiple basic uncertainty sets, including conventional box and budget uncertainty sets, and data-driven uncertainty sets using Dirichlet process mixture model, principal component analysis coupled with kernel density estimation, and support vector clustering. The problem is formulated into a two-stage adaptive robust UC model with data-driven disjunctive uncertainty sets and with a multi-level optimization structure. To facilitate the solution process, a tailored decomposition-based optimization algorithm is developed. The effectiveness of the proposed framework is illustrated using an application on the IEEE 39-bus system. The proposed approach can reduce the price of robustness by 8-38 % compared to the conventional “one-set-fits-all” approaches. Benchmarking with stochastic programming indicates that the proposed framework can achieve the same or better economic performance with over 30 % less computational time.Ning ZhaoFengqi YouAIDIC Servizi S.r.l.articleChemical engineeringTP155-156Computer engineering. Computer hardwareTK7885-7895ENChemical Engineering Transactions, Vol 88 (2021)
institution DOAJ
collection DOAJ
language EN
topic Chemical engineering
TP155-156
Computer engineering. Computer hardware
TK7885-7895
spellingShingle Chemical engineering
TP155-156
Computer engineering. Computer hardware
TK7885-7895
Ning Zhao
Fengqi You
Unit Commitment under Uncertainty using Data-Driven Optimization with Clustering Techniques
description This paper proposes a novel robust unit commitment (UC) framework with data-driven disjunctive uncertainty sets for volatile wind power outputs, assisted by machine learning techniques. To flexibly identify the uncertainty space based on wind power forecast error data with disjunctive structures, the uncertainty data are grouped using K-means and density-based spatial clustering of applications with noise following the optimal cluster number determined by the Calinski-Harabasz index. The disjunctive uncertainty sets are constructed accordingly as the union of multiple basic uncertainty sets, including conventional box and budget uncertainty sets, and data-driven uncertainty sets using Dirichlet process mixture model, principal component analysis coupled with kernel density estimation, and support vector clustering. The problem is formulated into a two-stage adaptive robust UC model with data-driven disjunctive uncertainty sets and with a multi-level optimization structure. To facilitate the solution process, a tailored decomposition-based optimization algorithm is developed. The effectiveness of the proposed framework is illustrated using an application on the IEEE 39-bus system. The proposed approach can reduce the price of robustness by 8-38 % compared to the conventional “one-set-fits-all” approaches. Benchmarking with stochastic programming indicates that the proposed framework can achieve the same or better economic performance with over 30 % less computational time.
format article
author Ning Zhao
Fengqi You
author_facet Ning Zhao
Fengqi You
author_sort Ning Zhao
title Unit Commitment under Uncertainty using Data-Driven Optimization with Clustering Techniques
title_short Unit Commitment under Uncertainty using Data-Driven Optimization with Clustering Techniques
title_full Unit Commitment under Uncertainty using Data-Driven Optimization with Clustering Techniques
title_fullStr Unit Commitment under Uncertainty using Data-Driven Optimization with Clustering Techniques
title_full_unstemmed Unit Commitment under Uncertainty using Data-Driven Optimization with Clustering Techniques
title_sort unit commitment under uncertainty using data-driven optimization with clustering techniques
publisher AIDIC Servizi S.r.l.
publishDate 2021
url https://doaj.org/article/c7f5f5a04f724a3c8f5deb83551205b6
work_keys_str_mv AT ningzhao unitcommitmentunderuncertaintyusingdatadrivenoptimizationwithclusteringtechniques
AT fengqiyou unitcommitmentunderuncertaintyusingdatadrivenoptimizationwithclusteringtechniques
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