A solution to the stochastic unit commitment problem using chance constrained programming

By M. Mazumdar, B. Norman. IEEE Transactions on Power Systems, 2004

267 citations recorded by the source corpus.

Subfields: Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/610aa13ff6802a491fb74b02d3e1ff20a895ad50

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In Electrical and Electronic Engineering

Citations in the corpus

Chance-Constrained Day-Ahead Scheduling in Stochastic Power System Operation (2014, methodology): “Taking into consideration the hourly load forecast errors, the UC problem in [18] is formulated as a chance-constrained optimization problem in which the hourly load is supplied with a high probability level.”
A Chance-Constrained Two-Stage Stochastic Program for Unit Commitment With Uncertain Wind Power Output (2012, methodology): “Thus, the algorithm developed in [13] could not be directly applied here to solve our problem.”
Simultaneous design, scheduling, and optimal control of a methyl-methacrylate continuous polymerization reactor (2008, unknown): “u1,1,k = u m in,k, ∀m, k (19) xo,1,k = x n in,k, ∀n, k (20) xtol,k > xNfe,Nc,k − x̄k , ∀n, k (21) −xtol,k 6 xNfe,Nc,k − x̄k , ∀n, k (22)”
Multiarea Stochastic Unit Commitment for High Wind Penetration in a Transmission Constrained Network (2013, methodology): “Ozturk et al. (2004) formulate a chance-constrained optimization of the unit commitment problem without transmission constraints and ramping constraints.”
A Versatile Probability Distribution Model for Wind Power Forecast Errors and Its Application in Economic Dispatch (2013, methodology): “Currently, there are two popular approaches that can be used: One expresses the probabilistic underestimation and overestimation costs ( and ) as the forms of expectation values as shown in (15) and (16) [5], [10], [13]; The other approach replaces the probabilistic constraints of (11) and (12) by t”
A tractable approximation of non-convex chance constrained optimization with non-Gaussian uncertainties (2015, background): “The first application was by Ozturk, Mazumdar, and Norman (2004) for the solution of the unit commitment problem (i.e. the problem of the optimal scheduling of the operation of generators in an electrical network).”
Chance-Constrained Two-Stage Unit Commitment Under Uncertain Load and Wind Power Output Using Bilinear Benders Decomposition (2016, methodology): “Because of the aforementioned advantages, the chanceconstrained optimization has been employed as decision tools for UC problems in the last decade [20].”
Chance Constrained Programming for Optimal Power Flow Under Uncertainty (2011, background): “Asolutiontoastochasticunitcommitmentproblemwasconsidered with chance constraints in [ 11 ].”
Stochastic Multiobjective Market Clearing of Joint Energy and Reserves Auctions Ensuring Power System Security (2009, unknown): “the stochastic problem formulation [17].”
Distributionally Robust Chance Constrained Optimal Power Flow with Renewables: A Conic Reformulation (2018, background): “There are many works on solving OPF, unit commitment (UC) problem or reserve scheduling via stochastic programming [28, 32, 37], robust optimization [3, 11, 15, 16, 39, 40, 43, 49], and chance constrained program approaches [5, 4, 19, 27, 31, 35, 38, 44] (see [23] for some discussions).”
Chance-Constrained Optimal Power Flow: Risk-Aware Network Control under Uncertainty (2012, background): “Chance-constrained optimization has also been discussed recently in relation to the unit commitment problem, which concerns discrete-time planning for operation of large generation units on the scale of hours to months, so as to account for the long-term wind-farm generation uncertainty [42, 51, 55]”