A Mathematical Programming Approach for Joint Optimization of Wind Farm Layout and Cable Routing Based on a Three‐Dimensional Gaussian Wake Model
ABSTRACT Wind energy is currently one of the most promising alternative energy sources. The optimization of the wind farm layout and the cable layout are two important elements in the design of wind farms. Since increasing the distance between turbines can reduce wake loss but increase cable cost, t...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2025-02-01
|
| Series: | Wind Energy |
| Subjects: | |
| Online Access: | https://doi.org/10.1002/we.2960 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832581085609852928 |
|---|---|
| author | Ziwei Cao Longwen Chen Ke Li Guoqing Huang Ruili Liu |
| author_facet | Ziwei Cao Longwen Chen Ke Li Guoqing Huang Ruili Liu |
| author_sort | Ziwei Cao |
| collection | DOAJ |
| description | ABSTRACT Wind energy is currently one of the most promising alternative energy sources. The optimization of the wind farm layout and the cable layout are two important elements in the design of wind farms. Since increasing the distance between turbines can reduce wake loss but increase cable cost, these two optimizations are coupled and jointly affect the revenue of wind farms. In this paper, we propose a novel nonlinear mathematical programming model based on the 3D Gaussian wake model and use a mathematical programming approach to optimize the layout of the wind farm and the cable layout together, considering both power generation and cable cost. In this method, some of the constraints were linearized to facilitate the solution process. The optimization results show that profit increased by 9.07% when using annual economic efficiency as the objective function, compared with using energy production as the objective function. |
| format | Article |
| id | doaj-art-fa442c353dc54da9bac5b00c7ec70a5c |
| institution | Kabale University |
| issn | 1095-4244 1099-1824 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Wiley |
| record_format | Article |
| series | Wind Energy |
| spelling | doaj-art-fa442c353dc54da9bac5b00c7ec70a5c2025-01-30T10:32:38ZengWileyWind Energy1095-42441099-18242025-02-01282n/an/a10.1002/we.2960A Mathematical Programming Approach for Joint Optimization of Wind Farm Layout and Cable Routing Based on a Three‐Dimensional Gaussian Wake ModelZiwei Cao0Longwen Chen1Ke Li2Guoqing Huang3Ruili Liu4School of Civil Engineering Chongqing University Chongqing ChinaLishui No. 2 Middle School Nanjing Jiangsu ChinaSchool of Civil Engineering Chongqing University Chongqing ChinaSchool of Civil Engineering Chongqing University Chongqing ChinaSchool of Civil Engineering Chongqing University Chongqing ChinaABSTRACT Wind energy is currently one of the most promising alternative energy sources. The optimization of the wind farm layout and the cable layout are two important elements in the design of wind farms. Since increasing the distance between turbines can reduce wake loss but increase cable cost, these two optimizations are coupled and jointly affect the revenue of wind farms. In this paper, we propose a novel nonlinear mathematical programming model based on the 3D Gaussian wake model and use a mathematical programming approach to optimize the layout of the wind farm and the cable layout together, considering both power generation and cable cost. In this method, some of the constraints were linearized to facilitate the solution process. The optimization results show that profit increased by 9.07% when using annual economic efficiency as the objective function, compared with using energy production as the objective function.https://doi.org/10.1002/we.2960cable layout optimizationgenetic algorithmmathematical programmingminimum spanning treewind turbine layout optimization |
| spellingShingle | Ziwei Cao Longwen Chen Ke Li Guoqing Huang Ruili Liu A Mathematical Programming Approach for Joint Optimization of Wind Farm Layout and Cable Routing Based on a Three‐Dimensional Gaussian Wake Model Wind Energy cable layout optimization genetic algorithm mathematical programming minimum spanning tree wind turbine layout optimization |
| title | A Mathematical Programming Approach for Joint Optimization of Wind Farm Layout and Cable Routing Based on a Three‐Dimensional Gaussian Wake Model |
| title_full | A Mathematical Programming Approach for Joint Optimization of Wind Farm Layout and Cable Routing Based on a Three‐Dimensional Gaussian Wake Model |
| title_fullStr | A Mathematical Programming Approach for Joint Optimization of Wind Farm Layout and Cable Routing Based on a Three‐Dimensional Gaussian Wake Model |
| title_full_unstemmed | A Mathematical Programming Approach for Joint Optimization of Wind Farm Layout and Cable Routing Based on a Three‐Dimensional Gaussian Wake Model |
| title_short | A Mathematical Programming Approach for Joint Optimization of Wind Farm Layout and Cable Routing Based on a Three‐Dimensional Gaussian Wake Model |
| title_sort | mathematical programming approach for joint optimization of wind farm layout and cable routing based on a three dimensional gaussian wake model |
| topic | cable layout optimization genetic algorithm mathematical programming minimum spanning tree wind turbine layout optimization |
| url | https://doi.org/10.1002/we.2960 |
| work_keys_str_mv | AT ziweicao amathematicalprogrammingapproachforjointoptimizationofwindfarmlayoutandcableroutingbasedonathreedimensionalgaussianwakemodel AT longwenchen amathematicalprogrammingapproachforjointoptimizationofwindfarmlayoutandcableroutingbasedonathreedimensionalgaussianwakemodel AT keli amathematicalprogrammingapproachforjointoptimizationofwindfarmlayoutandcableroutingbasedonathreedimensionalgaussianwakemodel AT guoqinghuang amathematicalprogrammingapproachforjointoptimizationofwindfarmlayoutandcableroutingbasedonathreedimensionalgaussianwakemodel AT ruililiu amathematicalprogrammingapproachforjointoptimizationofwindfarmlayoutandcableroutingbasedonathreedimensionalgaussianwakemodel AT ziweicao mathematicalprogrammingapproachforjointoptimizationofwindfarmlayoutandcableroutingbasedonathreedimensionalgaussianwakemodel AT longwenchen mathematicalprogrammingapproachforjointoptimizationofwindfarmlayoutandcableroutingbasedonathreedimensionalgaussianwakemodel AT keli mathematicalprogrammingapproachforjointoptimizationofwindfarmlayoutandcableroutingbasedonathreedimensionalgaussianwakemodel AT guoqinghuang mathematicalprogrammingapproachforjointoptimizationofwindfarmlayoutandcableroutingbasedonathreedimensionalgaussianwakemodel AT ruililiu mathematicalprogrammingapproachforjointoptimizationofwindfarmlayoutandcableroutingbasedonathreedimensionalgaussianwakemodel |