Abstract This paper proposes a radial-grouping-based planning method for the electrical collector systems (ECSs) to design the topology and select the cross-sections of ECS submarine cables in tidal current generation farms (TCGFs) while minimizing investment and operation costs. First, an angle-based radial-grouping method is proposed to group the tidal current turbines (TCTs) in a TCGF, considering their capacity limitations while avoiding the trans-region crossing of submarine cables. Second, an optimal planning model is presented to determine the connection scheme for the TCTs within the same group in a TCGF. The investment and trenching costs of submarine cables and ECS power losses are modeled to minimize the comprehensive annual equivalent cost of ECS, while satisfying the submarine cables’ voltage drop and capacity limitation constraints. Third, an efficient solution method is developed by modifying a genetic algorithm with the Prufer number, which retains the ECS radial topology and connectivity with high computational efficiency. Finally, two TCGFs with distinct characteristics in the North Orkney Islands, Scotland, and their measured tidal current data are used to demonstrate the effectiveness, correctness and adaptability of the proposed method.

中文翻译：

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一种基于径向分组的潮汐流发电场集电系统规划方法

摘要 本文提出了一种基于径向分组的集电系统 (ECS) 规划方法，以设计拓扑并选择潮汐流发电场 (TCGF) 中 ECS 海底电缆的横截面，同时最大限度地降低投资和运营成本。首先，提出了一种基于角度的径向分组方法对TCGF中的潮汐流涡轮机（TCT）进行分组，同时考虑了它们的容量限制，同时避免了海底电缆的跨区域交叉。其次，提出了一个最优规划模型来确定 TCGF 中同一组内的 TCT 的连接方案。对海底电缆的投资和挖沟成本以及ECS功率损耗进行建模，以最小化ECS的综合年等效成本，同时满足海底电缆的压降和容量限制约束。第三，通过修改具有普鲁弗数的遗传算法，开发了一种有效的求解方法，该方法保留了ECS径向拓扑和连通性，具有较高的计算效率。最后，利用苏格兰北奥克尼群岛的两个具有鲜明特征的 TCGF 及其测量的潮汐流数据来证明所提出方法的有效性、正确性和适应性。