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Online Companion - Enhanced Wasserstein distributionally robust OPF with dependence structure and support information

Authors: Arrigo, Adriano; Kazempour, Jalal; Grève, Zacharie De; Toubeau, Jean-François; Vallée, François;

Online Companion - Enhanced Wasserstein distributionally robust OPF with dependence structure and support information

Abstract

This paper goes beyond the current state of the art related to Wasserstein distributionally robust optimal powerflow problems, by adding dependence structure (correlation) andsupport information. In view of the space-time dependencies pertaining to the stochastic renewable power generation uncer-tainty, we apply a moment-metric-based distributionally robust optimization, which includes a constraint on the second-order moment of uncertainty. Aiming at further excluding unrealistic probability distributions from our proposed decision-making model, we enhance it by adding support information. We reformulate our proposed model, resulting in a semi-definite program, and show its satisfactory performance in terms of the operational results achieved and the computational time.

Keywords

Distributionally robust optimization, space-time dependencies, optimal power flow, out-of-sample analysis.

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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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