通过通用有效电阻度量设计电网的鲁棒性
Designing for Robustness in Electric Grids via a General Effective Resistance Measure
AI总结：
本文提出一种基于半定规划的数学框架，通过优化电网中可再生能源布局与输电线路电纳值来最小化相位振荡器脆弱性度量，从而提升电网频率同步的鲁棒性。
摘要：
我们提出一个数学框架，用于设计耦合相位振荡器的鲁棒网络，该框架利用了Tyloo等人提出的脆弱性度量，该度量量化了相位振荡器自然频率的小扰动对系统全局同步频率的影响程度。给定具有特定控制动力学的固定复杂网络拓扑，所提出的框架通过求解一个可处理的半定规划问题，找到边权重的最优分配，以最小化我们预期发生扰动的节点处的脆弱性度量。我们将该数学模型具体化到高压电网中，其中每个节点对应于与母线相关的电压相位角，边对应于输电线路。边权重由输电线路上的电纳值决定。在这一应用中，频率同步日益受到可再生能源并网的挑战，然而频率同步对电网的健康和功能至关重要。我们的框架通过优化可再生能源发电的布局和输电线路上的电纳值，有助于缓解这一挑战。
英文摘要：
We propose a mathematical framework for designing robust networks of coupled phase-oscillators by leveraging a vulnerability measure proposed by Tyloo et. al that quantifies how much a small perturbation to a phase-oscillator's natural frequency impacts the system's global synchronized frequencies. Given a fixed complex network topology with specific governing dynamics, the proposed framework finds an optimal allocation of edge weights that minimizes such vulnerability measure(s) at the node(s) for which we expect perturbations to occur by solving a tractable semidefinite programming problem. We specify the mathematical model to high voltage electric grids where each node corresponds to a voltage phase angle associated with a bus and edges correspond to transmission lines. Edge weights are determined by the susceptance values along the transmission lines. In this application, frequency synchronization is increasingly challenged by the integration of renewable energy, yet is imperative to the grid's health and functionality. Our framework helps to alleviate this challenge by optimizing the placement of renewable generation and the susceptance values along the transmission lines.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
