Convergence Analysis of Fixed Point Chance Constrained Optimal Power Flow Problems

Journal Article · 31 January 2022 · IEEE Transactions on Power Systems

DOI: https://doi.org/10.1109/tpwrs.2022.3146873 · OSTI ID:2429558

Brust, Johannes J.  ^[1]; Anitescu, Mihai  ^[1]

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1. Argonne National Laboratory (ANL), Argonne, IL (United States)

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. Here this article analyses the convergence conditions for this fixed point approach, and reports numerical experiments including for large IEEE networks.

• Research Organization: Argonne National Laboratory (ANL), Argonne, IL (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); National Science Foundation (NSF)
• Grant/Contract Number: AC02-06CH11357
• OSTI ID: 2429558
• Journal Information: IEEE Transactions on Power Systems, Journal Name: IEEE Transactions on Power Systems Journal Issue: 6 Vol. 37; ISSN 0885-8950
• Publisher: IEEECopyright Statement
• Country of Publication: United States
• Language: English