A Mathematical Model of the Electrical Power Management Systems Using the Core Values in Cooperative Game

In the context of game theory, cooperative game has been applied in several fields and can be successfully used to evaluate the players (people or companies) involved. In cooperative game theory, the core is a concept that represents the set of feasible allocations (or distributions of total payoff) among players that cannot be improved upon by any coalition of players. This paper aims to apply a mathematical model to modeling cooperation among power stations and fuel supply producers using a core value-based optimization algorithm. We use the cooperative game to show the potential cost in cooperation through an optimization algorithm to find the most feasible solution using the Python program as a working procedure. Then, we apply the working method to the case of fuel supply and electricity generation in Wasit Thermal Power Plant in cooperation. The outcomes of the proposed methodology will greatly help professionals to formulate and improve well-structured strategies for future electrical energy systems in the Wasit Thermal Power Plant.