通过重构网络拓扑结构来促进电网的同步。

Institute of Systems Science, Huaqiao University, Xiamen 361021, China and College of Information Science and Engineering, Huaqiao University, Xiamen 361021, China.

Chaos. 2023 Jun 1;33(6). doi: 10.1063/5.0147771.

The optimization of synchronization on distributed power grids is an important topic in recent years. We extensively study the optimization by restructuring grid topology in terms of connection rewirings. Due to the node-link dual property of power networks, i.e., the intrinsic generator-load dynamics of nodes and the multiple-attribute connections, we propose the frequency-correlation-optimization scheme to get grid topology with the largest anti-correlation by targeting the frequency-correlation function among nodes. The topology optimizations on both sparse and dense networks are successfully realized. The optimized topology exhibits more generator-consumer connections, indicating that a decentralization of the distribution of generator nodes on power grids favors synchronizability. The benefits of these frequency-correlation-optimized power grids to synchrony are verified. By comparing with the phase-coherence-optimization scheme that favors both the optimal topology and efficient synchronizability, we show that the frequency-correlation optimization and the phase-coherence optimization of power grids are usually compatible, while the former is more efficient and simpler in avoiding tedious simulations of high-dimensional nonlinear dynamics. Our explorations may shed light on the predesign and construction of modern distributed power grids, which are composed of decentralized miscellaneous power sources.

分布式电网的同步优化是近年来的一个重要课题。我们通过重新构建连接重连的电网拓扑结构来广泛研究优化问题。由于电网具有节点-链路对偶性，即节点的固有发电器-负载动态和多属性连接，我们提出了频率相关优化方案，通过针对节点之间的频率相关函数，得到具有最大反相关性的电网拓扑。成功实现了稀疏和密集网络的拓扑优化。优化后的拓扑结构显示出更多的发电器-消费者连接，表明发电器节点在电网中的分布去中心化有利于同步性。验证了这些频率相关优化电网对同步性的好处。通过与相位相干优化方案进行比较，该方案有利于最优拓扑和高效同步性，我们表明电网的频率相关优化和相位相干优化通常是兼容的，而前者效率更高，在避免高维非线性动力学的繁琐模拟方面更为简单。我们的探索可能为现代分布式电网的预设计和建设提供启示，这些电网由分散的各种电源组成。