Identification of critical generating units for maintenance: a game theory approach

Coalition formation strategies for cooperative operation of multiple microgrids

“…A number of game-theoretic approaches [15][16][17][18][19][20][21][22][23][24][25][26][27][28] have been presented in the literature for EM in power systems. However, in the context of multiple cooperative MGs, developed strategies are rather limited [22][23][24][25][26][27][28].…”

“…Also, it is a centralised approach, which requires a centralised auctioneer. As a solution concept to game theory, the Shapely value methodology has been widely studied in prior studies to provide a stable solution to all participants [17,18,23,[29][30][31]. It is worth noting that although a number of game theoretic approaches have been developed for cooperative EM, the models developed in these studies are very simplified and are not correct to capture the practical and physical operations of the distribution network.…”

“…(see (17)) The objective function (1) minimises the difference between the expected operating costs and revenues of MGs. Operating costs include those of conventional generating units, degradation costs of ESSs, penalties on RE curtailment and a user discomfort cost.…”

“…The elastic loads are controlled by demand response and can be scheduled subject to the constraints given in (15) [43]. The first equation in (15) limits the elastic load consumption at each hour t, whereas the second corresponds to the total elastic load requirement across the entire scheduling horizon at the kth MG. Constraint (16) gives the power carrying capacity in each distribution feeder, whereas (17) gives the power balance constraint in each MG.…”

A Game-Theoretic Loss Allocation Approach in Power Distribution Systems with High Penetration of Distributed Generations

“…Therefore, the proposed approach applies Shapley Value method to find the solutions to loss allocation problem. The method has already been applied to solve a number of cost allocation problems in power systems [24][25][26][27][28][29][30][31]. However, due to the computational challenges associated with the Shapley Value method, it cannot be practically applied to real-world real-sized power systems.…”