The problem of partitioning a power grid into a set of microgrids, or islands, is of interest for both the design of future smart grids, and as a last resort to restore power dispatchment in sections of a grid affected by an extreme failure. In the literature this problem is usually solved by turning it into a combinatorial optimization problem, often solved through generic heruristic methods such as Genetic Algorithms or Tabu Search. In this paper, we take a different route and obtain the grid partition by exploiting the synchronization dynamics of a cyberlayer of Kuramoto oscillators, each parameterized as a rough approximation of the dynamics of the grid's node it corresponds to. We present first a centralised algorithm and then a decentralised strategy. In the former, nodes are aggregated based on their internode synchronization times while in the latter they exploit synchronization of the oscillators in the cyber layer to selforganise into islands. Our preliminary results show that the heuristic synchronization based algorithms do converge towards partitions that are comparable to those obtained via other more cumbersome and computationally expensive optimization-based methods.

中文翻译：

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利用同步将电力网络划分为微电网

将电网划分为一组微电网或岛屿的问题对于未来智能电网的设计以及作为在受极端故障影响的电网部分恢复电力调度的最后手段都很重要。在文献中，这个问题通常通过将其转化为组合优化问题来解决，通常通过通用启发式方法（例如遗传算法或禁忌搜索）来解决。在本文中，我们采用不同的路线并通过利用 Kuramoto 振荡器网络层的同步动态获得网格分区，每个参数化为其对应的网格节点动态的粗略近似。我们首先介绍一个集中式算法，然后介绍一个分散式策略。在前者中，节点根据它们的节点间同步时间聚合，而在后者中，它们利用网络层中振荡器的同步来自组织成岛屿。我们的初步结果表明，基于启发式同步的算法确实收敛于与通过其他更繁琐且计算成本高的基于优化的方法获得的分区相当的分区。