Wind farm layout optimization on complex terrains – Integrating a CFD wake model with mixed-integer programming

•An algorithm that optimizes layouts of wind farms on complex terrains is proposed.•The proposed algorithm integrates CFD with mixed-integer programming.•The algorithm minimizes the number of CFD simulations required for optimization.•A trade-off study between computational cost and solution quality...

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Published in:	Applied energy Vol. 178; pp. 404 - 414
Main Authors:	Kuo, Jim Y.J., Romero, David A., Beck, J. Christopher, Amon, Cristina H.
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 15.09.2016
Subjects:	algorithms Complex terrains energy fluid mechanics landscapes Layout optimization Micro-siting prediction Quebec Wind farm wind farms Quebec Complex terrains Layout optimization Wind farm Micro-siting
ISSN:	0306-2619, 1872-9118
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Abstract	•An algorithm that optimizes layouts of wind farms on complex terrains is proposed.•The proposed algorithm integrates CFD with mixed-integer programming.•The algorithm minimizes the number of CFD simulations required for optimization.•A trade-off study between computational cost and solution quality is performed. In recent years, wind farm optimization has received much attention in the literature. The aim of wind farm design is to maximize energy production while minimizing costs. The wind farm layout optimization (WFLO) problem on uniform terrains has been tackled by a number of approaches; however, optimizing wind farm layouts on complex terrains is challenging due to the lack of accurate, computationally tractable wake models to evaluate wind farm layouts. This paper proposes an algorithm that couples computational fluid dynamics (CFD) with mixed-integer programming (MIP) to optimize layouts on complex terrains. CFD simulations are used to iteratively improve the accuracy of wake deficit predictions while MIP is used for the optimization process. The ability of MIP solvers to find optimal solutions is critical for capturing the effects of improved wake deficit predictions on the quality of wind farm layout solutions. The proposed algorithm was applied on a wind farm domain in Carleton-sur-Mer, Quebec, Canada. Results show that the proposed algorithm is capable of producing excellent layouts in complex terrains.
AbstractList	In recent years, wind farm optimization has received much attention in the literature. The aim of wind farm design is to maximize energy production while minimizing costs. The wind farm layout optimization (WFLO) problem on uniform terrains has been tackled by a number of approaches; however, optimizing wind farm layouts on complex terrains is challenging due to the lack of accurate, computationally tractable wake models to evaluate wind farm layouts. This paper proposes an algorithm that couples computational fluid dynamics (CFD) with mixed-integer programming (MIP) to optimize layouts on complex terrains. CFD simulations are used to iteratively improve the accuracy of wake deficit predictions while MIP is used for the optimization process. The ability of MIP solvers to find optimal solutions is critical for capturing the effects of improved wake deficit predictions on the quality of wind farm layout solutions. The proposed algorithm was applied on a wind farm domain in Carleton-sur-Mer, Quebec, Canada. Results show that the proposed algorithm is capable of producing excellent layouts in complex terrains. •An algorithm that optimizes layouts of wind farms on complex terrains is proposed.•The proposed algorithm integrates CFD with mixed-integer programming.•The algorithm minimizes the number of CFD simulations required for optimization.•A trade-off study between computational cost and solution quality is performed. In recent years, wind farm optimization has received much attention in the literature. The aim of wind farm design is to maximize energy production while minimizing costs. The wind farm layout optimization (WFLO) problem on uniform terrains has been tackled by a number of approaches; however, optimizing wind farm layouts on complex terrains is challenging due to the lack of accurate, computationally tractable wake models to evaluate wind farm layouts. This paper proposes an algorithm that couples computational fluid dynamics (CFD) with mixed-integer programming (MIP) to optimize layouts on complex terrains. CFD simulations are used to iteratively improve the accuracy of wake deficit predictions while MIP is used for the optimization process. The ability of MIP solvers to find optimal solutions is critical for capturing the effects of improved wake deficit predictions on the quality of wind farm layout solutions. The proposed algorithm was applied on a wind farm domain in Carleton-sur-Mer, Quebec, Canada. Results show that the proposed algorithm is capable of producing excellent layouts in complex terrains.
Author	Romero, David A. Beck, J. Christopher Amon, Cristina H. Kuo, Jim Y.J.
Author_xml	– sequence: 1 givenname: Jim Y.J. surname: Kuo fullname: Kuo, Jim Y.J. email: jyjkuo@mie.utoronto.ca – sequence: 2 givenname: David A. surname: Romero fullname: Romero, David A. – sequence: 3 givenname: J. Christopher surname: Beck fullname: Beck, J. Christopher – sequence: 4 givenname: Cristina H. surname: Amon fullname: Amon, Cristina H.
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Snippet	•An algorithm that optimizes layouts of wind farms on complex terrains is proposed.•The proposed algorithm integrates CFD with mixed-integer programming.•The... In recent years, wind farm optimization has received much attention in the literature. The aim of wind farm design is to maximize energy production while...
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SubjectTerms	algorithms Complex terrains energy fluid mechanics landscapes Layout optimization Micro-siting prediction Quebec Wind farm wind farms
Title	Wind farm layout optimization on complex terrains – Integrating a CFD wake model with mixed-integer programming
URI	https://dx.doi.org/10.1016/j.apenergy.2016.06.085 https://www.proquest.com/docview/2116892163
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