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A new method for simultaneous optimizing of wind farm’s network layout and cable cross-sections by MILP optimization

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  • Wędzik, Andrzej
  • Siewierski, Tomasz
  • Szypowski, Michał

Abstract

Internal electrical networks of large wind farms constitute complex and dispersed grid structures. Wind turbines are scattered over vast areas and the total length of cabling infrastructure might reach several dozens of kilometers. Outlays related to cable laying significantly contribute to the entire project budget. Therefore the design process should minimize these expenses considering also operation and maintenance costs calculated over the project lifetime on condition of fulfilment of all technical requirements. An analysis presented in this paper demonstrates that an independent optimization of the twofold problem dealing both with investment and operation costs does not result in the cheapest solution. The analysis confirmed also reliability and effectiveness of application of Mixed Integer Linear Programming method (MILP) to solve this kind of optimization problem. The paper shows that the developed integrated optimization algorithm is efficient and delivers an absolute optimal solution (GAP=0) in a reasonable computation time. The results obtained for a real wind farm project confirm that the optimal design of a wind farm network can’t be determined a priori and the final outcome strongly depends on the configuration of wind turbines (e.g., number of feeders, number of turbines connected to a single feeder, etc.) and technical parameters of cables. Spread over time, discounted costs of energy losses are an integral part of the objective function. The study proves that cost of energy losses impacts on the overall financial results and shouldn’t be neglected. The related expenses are roughly at the same level as expenditure linked to cable laying and they heavily influence the final design of the internal network. The results show the possibility of practical use of the proposed algorithm in the wind farm design process.

Suggested Citation

  • Wędzik, Andrzej & Siewierski, Tomasz & Szypowski, Michał, 2016. "A new method for simultaneous optimizing of wind farm’s network layout and cable cross-sections by MILP optimization," Applied Energy, Elsevier, vol. 182(C), pages 525-538.
    • Handle: RePEc:eee:appene:v:182:y:2016:i:c:p:525-538
    DOI: 10.1016/j.apenergy.2016.08.094
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    Cited by:

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    2. Ren, Zhouyang & Li, Hui & Xu, Yan & Li, Wenyuan & Li, Zhenwen & Dai, Yi, 2021. "A radial-grouping-based planning method for electrical collector systems in tidal current generation farms," Renewable Energy, Elsevier, vol. 165(P1), pages 632-641.
    3. Wu, Yan & Zhang, Shuai & Wang, Ruiqi & Wang, Yufei & Feng, Xiao, 2020. "A design methodology for wind farm layout considering cable routing and economic benefit based on genetic algorithm and GeoSteiner," Renewable Energy, Elsevier, vol. 146(C), pages 687-698.
    4. Martina Fischetti & Matteo Fischetti, 2023. "Integrated Layout and Cable Routing in Wind Farm Optimal Design," Management Science, INFORMS, vol. 69(4), pages 2147-2164, April.
    5. Aguayo, Maichel M. & Fierro, Pablo E. & De la Fuente, Rodrigo A. & Sepúlveda, Ignacio A. & Figueroa, Dante M., 2021. "A mixed-integer programming methodology to design tidal current farms integrating both cost and benefits: A case study in the Chacao Channel, Chile," Applied Energy, Elsevier, vol. 294(C).
    6. Feng, Ju & Shen, Wen Zhong, 2017. "Design optimization of offshore wind farms with multiple types of wind turbines," Applied Energy, Elsevier, vol. 205(C), pages 1283-1297.
    7. Long Wang & Jianghai Wu & Zeling Tang & Tongguang Wang, 2019. "An Integration Optimization Method for Power Collection Systems of Offshore Wind Farms," Energies, MDPI, vol. 12(20), pages 1-16, October.
    8. Wang, Long & Wu, Jianghai & Wang, Tongguang & Han, Ran, 2020. "An optimization method based on random fork tree coding for the electrical networks of offshore wind farms," Renewable Energy, Elsevier, vol. 147(P1), pages 1340-1351.
    9. Cazzaro, Davide & Fischetti, Martina & Fischetti, Matteo, 2020. "Heuristic algorithms for the Wind Farm Cable Routing problem," Applied Energy, Elsevier, vol. 278(C).
    10. Jin, Rongsen & Hou, Peng & Yang, Guangya & Qi, Yuanhang & Chen, Cong & Chen, Zhe, 2019. "Cable routing optimization for offshore wind power plants via wind scenarios considering power loss cost model," Applied Energy, Elsevier, vol. 254(C).
    11. Wu, Yan & Xia, Tianqi & Wang, Yufei & Zhang, Haoran & Feng, Xiao & Song, Xuan & Shibasaki, Ryosuke, 2022. "A synchronization methodology for 3D offshore wind farm layout optimization with multi-type wind turbines and obstacle-avoiding cable network," Renewable Energy, Elsevier, vol. 185(C), pages 302-320.
    12. Hou, Peng & Hu, Weihao & Soltani, Mohsen & Chen, Cong & Chen, Zhe, 2017. "Combined optimization for offshore wind turbine micro siting," Applied Energy, Elsevier, vol. 189(C), pages 271-282.
    13. Yuanhang Qi & Peng Hou & Guisong Liu & Rongsen Jin & Zhile Yang & Guangya Yang & Zhaoyang Dong, 2021. "Cable Connection Optimization for Heterogeneous Offshore Wind Farms via a Voronoi Diagram Based Adaptive Particle Swarm Optimization with Local Search," Energies, MDPI, vol. 14(3), pages 1-21, January.
    14. Adelaide Cerveira & Eduardo J. Solteiro Pires & José Baptista, 2021. "Wind Farm Cable Connection Layout Optimization with Several Substations," Energies, MDPI, vol. 14(12), pages 1-14, June.
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    16. Arne Klein & Dag Haugland, 2019. "Obstacle-aware optimization of offshore wind farm cable layouts," Annals of Operations Research, Springer, vol. 272(1), pages 373-388, January.

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