A two-stage stochastic optimization model for the design of the closed-loop cable layout of an Offshore Wind Farm (OWF) is presented. The model consists on a Mixed Integer Linear Program (MILP) with scenario numeration incorporation to account for both wind power and cable failure stochasticity. The objective function supports simultaneous optimization of: (i) Initial investment (network topology and cable sizing), (ii) Total electrical power losses costs, and (iii) Reliability costs due to energy curtailment from cables failures. The mathematical optimization program is embedded in an iterative framework called PCI (Progressive Contingency Incorporation), in order to simplify the full problem while still including its global optimum. The applicability of the method is demonstrated by tackling a real-world instance. Results show the functionality of the tool in quantifying the economic profitability when applying stochastic optimization compared to a deterministic approach, given certain values of failure parameters.

中文翻译：

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海上风电场采集系统闭环两阶段随机优化

提出了用于海上风电场 (OWF) 闭环电缆布局设计的两阶段随机优化模型。该模型由混合整数线性程序 (MILP) 组成，并结合了场景编号以考虑风电和电缆故障的随机性。目标函数支持同时优化：(i) 初始投资（网络拓扑和电缆尺寸），(ii) 总电力损耗成本，以及 (iii) 由于电缆故障导致的能量削减而导致的可靠性成本。数学优化程序嵌入在称为 PCI（Progressive Contingency Incorporation）的迭代框架中，以简化整个问题，同时仍包括其全局最优。该方法的适用性通过处理一个真实世界的实例来证明。