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arxiv: 2101.11740 · v3 · pith:7757VLOPnew · submitted 2021-01-27 · 🧮 math.OC · cs.SY· eess.SY· stat.CO

Convergence Analysis of Fixed Point Chance Constrained Optimal Power Flow Problems

classification 🧮 math.OC cs.SYeess.SYstat.CO
keywords convergencefixedflowpointpowerproblemsapproachchance
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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.

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