Distributed control of DC grids: Integrating prosumers’ motives

In this paper, a novel distributed control strategy
addressing a (feasible) psycho-social-physical welfare problem in
islanded Direct Current (DC) smart grids is proposed. Firstly,
we formulate a (convex) optimization problem that allows prosumers
to share current with each other, taking into account
the technical and physical aspects and constraints of the grid
(e.g., stability, safety), as well as psycho-social factors (i.e.,
prosumers’ personal values). Secondly, we design a controller
whose (unforced) dynamics represent the continuous time primaldual
dynamics of the considered optimization problem. Thirdly,
a passive interconnection between the physical grid and the
controller is presented. Global asymptotic convergence of the
closed-loop system to the desired steady-state is proved and
simulations based on collected data on psycho-social aspects
illustrate and confirm the theoretical results.