Title
Probabilistically Robust AC Optimal Power Flow
Abstract
The increasing penetration of renewable energy resources, paired with the fact that load can vary significantly, introduce a high degree of uncertainty in the behavior of modern power grids. Given that classical dispatch solutions are “rigid,” their performance in such an uncertain environment is in general far from optimal. For this reason, in this paper, we consider ac optimal power flow (AC-OPF) problems in the presence of uncertain loads and (uncertain) renewable energy generators. The goal of the AC-OPF design is to guarantee that controllable generation is dispatched at minimum cost, while satisfying constraints on generation and transmission for almost all realizations of the uncertainty. We propose an approach based on a randomized technique recently developed, named <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">scenario with certificates</italic> , which allows us to tackle the problem without the conservative parameterizations on the uncertainty used in currently available approaches. The proposed solution can exploit the usually available probabilistic description of the uncertainty and variability, and provides solutions with <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">a priori</italic> probabilistic guarantees on the risk of violating the constraints on generation and transmission.
Year
DOI
Venue
2019
10.1109/TCNS.2019.2921300
IEEE Transactions on Control of Network Systems
Keywords
Field
DocType
Uncertainty,Generators,Renewable energy sources,Optimization,Control systems,Probabilistic logic,Power generation
Mathematical optimization,Renewable energy,Power flow,Control theory,A priori and a posteriori,Exploit,Probabilistic logic,Control system,Electricity generation,Mathematics
Journal
Volume
Issue
ISSN
6
3
2325-5870
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Mohammadreza Chamanbaz1174.16
Fabrizio Dabbene223830.36
Constantino M. Lagoa316425.38