Worst-Case Sensitivity of DC Optimal Power Flow Problems
Optimization and Control
2020-04-06 v1 Systems and Control
Systems and Control
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 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 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.
Cite
@article{arxiv.2004.01572,
title = {Worst-Case Sensitivity of DC Optimal Power Flow Problems},
author = {James Anderson and Fengyu Zhou and Steven H. Low},
journal= {arXiv preprint arXiv:2004.01572},
year = {2020}
}