Convergence Analysis of Fixed Point Chance Constrained Optimal Power Flow Problems

01/27/2021

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by   Johannes J. Brust, et al.

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For optimal power flow problems with chance constraints, a particularly effective method is based on a fixed point iteration applied to a sequence of deterministic power flow problems. However, a priori, the convergence of such an approach is not necessarily guaranteed. This article analyses the convergence conditions for this fixed point approach, and reports numerical experiments including for large IEEE networks.