PROJECT TITLE :

A Hybrid MILP and Benders Decomposition Approach to Find the Nucleolus Quota Allocation for a Renewable Energy Portfolio

ABSTRACT:

Portfolios of renewable electricity sources are fascinating risk-management mechanisms for trading in electricity contract markets. When fashioned by players belonging to different companies, their stability relies on the way the benefit generated by the optimal portfolio is allocated. The challenge of finding a truthful and economical allocation will be mathematically formulated in terms of finding the Core of a cooperative game, which in flip is stated as an optimization drawback with a group of constraints that exponentially grows with the quantity of participants, quickly turning into computationally intractable. Moreover, the right-hand-side of each constraint depends on a given coalition value, that in our case is obtained by a two-stage stochastic optimization model. This paper presents an efficient methodology based on mixed -linear programming and Benders decomposition to find the Nucleolus share of large-scale renewable portfolios. Case studies are presented with knowledge from the Brazilian power system.