WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 24, 2025
A Probabilistic Theoric Framework for Uncertainty Cost Functions in
Scheduling Optimization in Hybrid Renewable Microgrids
Authors: ,
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Abstract: In this paper is developed a mathematical framework for uncertainty quantification in energy
systems through Uncertainty Cost Functions (UCFs), in order to schedule the operation. We establish
probabilistic models for solar photovoltaic generation, wind energy generation, and plug-in electric vehicles,
deriving exact expressions for expected penalty costs using measure-theoretic probability. The main results
include existence theorems for UCFs, closed-form solutions under specific distributional assumptions, and
optimal scheduling policy.
Keywords:
Battery Energy Systems, Stochastic optimization, Renewable Energy Integration, Probabilistic Penalty Costs, Measure-theoretic Probability, Uncertainty Quantification, Operation
Scheduling of Power Systems
Pages: 794-801
DOI: 10.37394/23206.2025.24.79