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arXiv · 2004.01572

Worst-Case Sensitivity of DC Optimal Power Flow Problems

James Anderson·Fengyu Zhou·Steven H. Low
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Abstract

In this paper we consider the problem of analyzing the effect a change in the load vector can have on the optimal power generation in a DC power flow model. The methodology is based upon the recently introduced concept of the $\mathcal{OPF}$ operator. It is shown that for general network topologies computing the worst-case sensitivities is computationally intractable. However, we show that certain problems involving the $\mathcal{OPF}$ operator can be equivalently converted to a graphical discrete optimization problem. Using the discrete formulation, we provide a decomposition algorithm that reduces the computational cost of computing the worst-case sensitivity. A 27-bus numerical example is used to illustrate our results.

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James Anderson, Fengyu Zhou, Steven H. Low. 2020-04-03. Worst-Case Sensitivity of DC Optimal Power Flow Problems. https://arxiv.org/abs/2004.01572

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