Distributed fixed-time optimal management of microgrid considering V2G and carbon emissions

In the background of 'carbon peaking', the increasing scale of electric vehicles allows them to participate in microgrid system operation as flexible energy storage facilities. In this paper, the energy management issue of microgrids is convert into a multi-agent consensus problem with electric vehicle-to-grid (V2G) features. A fixed-time distributed optimization algorithm is proposed considering the charging and discharging impacts of EV cluster along with carbon emission costs. This algorithm can obtain an optimal solution within a fixed-time. Moreover, its convergence time can be accurately calculated as it is independent of the initial conditions of system. A rigorous convergence proof of algorithm is provided, and simulations demonstrate the effectiveness of the algorithm.