Designing Power Grid Topologies for Minimizing Network Disturbances: An Exact MILP Formulation
Designing Power Grid Topologies for Minimizing Network Disturbances: An Exact MILP Formulation
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DOI：
10.23919/acc.2019.8814435
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发表时间：
2019-03
期刊：
影响因子：
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通讯作者：
Siddharth Bhela;Deepjyoti Deka;Harsha Nagarajan;V. Kekatos
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文献类型：
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作者：
Siddharth Bhela;Deepjyoti Deka;Harsha Nagarajan;V. Kekatos
电网对小的暂态事件或持续的随机扰动的动态响应影响着电网的稳定运行。本文研究了拓扑结构对电网线性定常动力学的影响。对于各种稳定性指标，给出了基于系统H$2范数的统一框架。提出的框架评估了电网对小干扰的鲁棒性，并用于研究现有网络上新线路的最佳布局以及新网络的径向（树）和网状（环）拓扑的设计。虽然设计任务可以用混合整数半确定规划（MI-SDP）来表示，但其性能不能很好地随网络规模的变化而变化。利用麦考密克松弛，拓扑设计问题可以重新表述为一个混合整数线性规划（MILP）。为了改善计算时间，利用图形属性为连续优化变量提供更严格的边界。在IEEE 39总线馈线上进行的数值实验证明了该优化拓扑在最小化干扰方面的有效性。
The dynamic response of power grids to small transient events or persistent stochastic disturbances influences their stable operation. This paper studies the effect of topology on the linear time-invariant dynamics of power networks. For a variety of stability metrics, a unified framework based on the $H$2-norm of the system is presented. The proposed framework assesses the robustness of power grids to small disturbances and is used to study the optimal placement of new lines on existing networks as well as the design of radial (tree) and meshed (loopy) topologies for new networks. Although the design task can be posed as a mixed-integer semidefinite program (MI-SDP), its performance does not scale well with network size. Using McCormick relaxation, the topology design problem can be reformulated as a mixed-integer linear program (MILP). To improve the computation time, graphical properties are exploited to provide tighter bounds on the continuous optimization variables. Numerical tests on the IEEE 39-bus feeder demonstrate the efficacy of the optimal topology in minimizing disturbances.