Optimized utilization of distributed renewable energies for island microgrid clusters considering solar-wind correlation

•Combined Copula function is adopted to describe the correlation between variables more comprehensively.•An improved ADMM based on an adaptive step is proposed speed up the convergence speed and reduce the convergence oscillation.•A nested structure is adopted in the improved ADMM to overcome the no...

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Published inElectric power systems research Vol. 206; p. 107822
Main Authors Li, Zhen-Long, Li, Peng, Yuan, Zhi-Peng, Xia, Jing, Tian, De
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.05.2022
Elsevier Science Ltd
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Abstract •Combined Copula function is adopted to describe the correlation between variables more comprehensively.•An improved ADMM based on an adaptive step is proposed speed up the convergence speed and reduce the convergence oscillation.•A nested structure is adopted in the improved ADMM to overcome the non-convexity which standard ADMMs can hardly address. Microgrid technology has found applications in various areas including institutional campuses, military bases, and remote islands. This paper proposes an optimization scheme for island microgrid clusters considering solar-wind correlation. Firstly, we propose a method for generating wind and solar scenarios based on non-parametric kernel density estimation and combined Copula function, to obtain a typical daily wind and solar output sequence, with involving the uncertainty and correlation of wind-solar power. Secondly, to reduce the computational pressure of the system and ensure the privacy of each microgrid, we present an improved Alternating Direction Method of Multipliers (ADMM) to speed up the solution process of the established optimization model in a distributed manner. Finally, comparative case studies are used to validate the effectiveness of the proposed schemes.
AbstractList •Combined Copula function is adopted to describe the correlation between variables more comprehensively.•An improved ADMM based on an adaptive step is proposed speed up the convergence speed and reduce the convergence oscillation.•A nested structure is adopted in the improved ADMM to overcome the non-convexity which standard ADMMs can hardly address. Microgrid technology has found applications in various areas including institutional campuses, military bases, and remote islands. This paper proposes an optimization scheme for island microgrid clusters considering solar-wind correlation. Firstly, we propose a method for generating wind and solar scenarios based on non-parametric kernel density estimation and combined Copula function, to obtain a typical daily wind and solar output sequence, with involving the uncertainty and correlation of wind-solar power. Secondly, to reduce the computational pressure of the system and ensure the privacy of each microgrid, we present an improved Alternating Direction Method of Multipliers (ADMM) to speed up the solution process of the established optimization model in a distributed manner. Finally, comparative case studies are used to validate the effectiveness of the proposed schemes.
Microgrid technology has found applications in various areas including institutional campuses, military bases, and remote islands. This paper proposes an optimization scheme for island microgrid clusters considering solar-wind correlation. Firstly, we propose a method for generating wind and solar scenarios based on non-parametric kernel density estimation and combined Copula function, to obtain a typical daily wind and solar output sequence, with involving the uncertainty and correlation of wind-solar power. Secondly, to reduce the computational pressure of the system and ensure the privacy of each microgrid, we present an improved Alternating Direction Method of Multipliers (ADMM) to speed up the solution process of the established optimization model in a distributed manner. Finally, comparative case studies are used to validate the effectiveness of the proposed schemes.
ArticleNumber 107822
Author Li, Zhen-Long
Yuan, Zhi-Peng
Li, Peng
Xia, Jing
Tian, De
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Island microgrid cluster
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Snippet •Combined Copula function is adopted to describe the correlation between variables more comprehensively.•An improved ADMM based on an adaptive step is proposed...
Microgrid technology has found applications in various areas including institutional campuses, military bases, and remote islands. This paper proposes an...
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StartPage 107822
SubjectTerms Alternative energy
Clusters
Correlation
Distributed generation
Estimating techniques
Improved ADMM
Island microgrid cluster
Military bases
Optimal utilization
Optimization models
Scenario generation
Smart grid technology
Solar energy
Solar wind
Title Optimized utilization of distributed renewable energies for island microgrid clusters considering solar-wind correlation
URI https://dx.doi.org/10.1016/j.epsr.2022.107822
https://www.proquest.com/docview/2694491598/abstract/
Volume 206
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