论文标题
用于能源系统多尺度协调的多机格领域
Multi-Grid Schemes for Multi-Scale Coordination of Energy Systems
论文作者
论文摘要
我们讨论如何使用多机级计算方案来设计能源系统的分层协调体系结构。这些分层体系结构可用于管理多个时间和空间尺度，并减轻集中式和分散体系结构的基本限制。我们介绍了多网格方案的基本元素，该元素包括平滑操作员（一个针对高频现象的高分辨率分散配位层）和一个粗化操作员（低分辨率的集中协调层，该协调层靶向低频率下的现象）。为了进行平滑，我们通过将其应用于覆盖非结构化域的系统来扩展高斯 - 塞德尔方案的现有收敛结果。这使我们能够针对多个时间尺度和任意网络的问题。拟议的协调计划可用于指导分散电力市场的交易。我们提出了一个存储控制示例和一个功率流扩散示例，以说明这些发展。
We discuss how multi-grid computing schemes can be used to design hierarchical coordination architectures for energy systems. These hierarchical architectures can be used to manage multiple temporal and spatial scales and mitigate fundamental limitations of centralized and decentralized architectures. We present the basic elements of a multi-grid scheme, which includes a smoothing operator (a high-resolution decentralized coordination layer that targets phenomena at high frequencies) and a coarsening operator (a low-resolution centralized coordination layer that targets phenomena at low frequencies). For smoothing, we extend existing convergence results for Gauss-Seidel schemes by applying them to systems that cover unstructured domains. This allows us to target problems with multiple timescales and arbitrary networks. The proposed coordination schemes can be used to guide transactions in decentralized electricity markets. We present a storage control example and a power flow diffusion example to illustrate the developments.
