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Wind farm layout optimization under uncertainty

Author

Listed:
  • Agostinho Agra

    (Universidade de Aveiro)

  • Adelaide Cerveira

    (Universidade de Trás-os-Montes e Alto Douro
    INESC TEC–INESC Technology and Science (formerly INESC Porto, UTAD pole))

Abstract

Wind power is a major source of green energy production. However, the energy generation of wind power is highly affected by uncertainty. Here, we consider the problem of designing the cable network that interconnects the turbines to the substation in wind farms, aiming to minimize both the infrastructure cost and the cost of the energy losses during the wind farm’s lifetime. Nonetheless, the energy losses depend on wind direction and speed, which are rarely known with certainty in real situations. Hence, the design of the network should consider these losses as uncertain parameters. We assume that the exact probability distribution of these parameters is unknown but belongs to an ambiguity set and propose a distributionally robust two-stage mixed integer model. The model is solved using a decomposition algorithm. Three enhancements are proposed given the computational difficulty in solving real problem instances. Computational results are reported based on real data.

Suggested Citation

  • Agostinho Agra & Adelaide Cerveira, 2024. "Wind farm layout optimization under uncertainty," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 32(2), pages 202-223, July.
  • Handle: RePEc:spr:topjnl:v:32:y:2024:i:2:d:10.1007_s11750-023-00663-7
    DOI: 10.1007/s11750-023-00663-7
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