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Worst-Case Sensitivity of DC Optimal Power Flow Problems
arXiv - CS - Systems and Control Pub Date : 2020-04-03 , DOI: arxiv-2004.01572
James Anderson; Fengyu Zhou; Steven H. Low

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.
更新日期:2020-04-06

 

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