A Distributed control framework for the optimal operation of DC microgrids

TL;DR

This paper introduces a novel distributed control framework for DC microgrids that optimizes energy trading and operation, ensuring convergence to the optimal state through a dual-theory-based control scheme.

Contribution

It presents an original distributed control approach for DC microgrids based on aggregative game formulation and dual theory, with proven convergence and optimality.

Findings

The control scheme achieves optimal microgrid operation.

Simulation results confirm excellent performance.

The framework ensures stability and constraint satisfaction.

Abstract

In this paper we propose an original distributed control framework for DC mcirogrids. We first formulate the (optimal) control objectives as an aggregative game suitable for the energy trading market. Then, based on the dual theory, we analyze the equivalent distributed optimal condition for the proposed aggregative game and design a distributed control scheme to solve it. By interconnecting the DC mcirogrid and the designed distributed control system in a power preserving way, we steer the DC microgrid's state to the desired optimal equilibrium, satisfying a predefined set of local and coupling constraints. Finally, based on the singular perturbation system theory, we analyze the convergence of the closed-loop system. The simulation results show excellent performance of the proposed control framework.