Demand-side management via game theory considering distributed energy storage and generation with discomfort as objective

This article proposes demand-side management (DSM), considering a comprehensive home appliances model. The existing models use a utility function approach to tackle discomfort which requires further investigation to identify the devices and the required energy needed to be supplied to the device to control the degree of discomfort. This article proposes an approach that explicitly assigns the requirements to individual devices, and the degree of discomfort is controlled by assigning various weights to the discomfort objective. The formulation of DSM problem is in the form of non-cooperative game among the users, and the proximal decomposition algorithm is utilized to solve the formulated game. The condition for the algorithm's convergence is specified for the formulated problem. Three scenarios are studied to analyze the outcomes of the proposed study. The result shows that with the addition of discomfort as an objective, the system PAR improved, the average energy cost increased, and it does not significantly impact distributed dispatchable generation and energy storage profile.