Distributed Optimization in DC Microgrids with Subsystem Dynamics

Optimal control strategies are studied for DC microgrid management. The optimization strategies intend to achieve the desired tradeoff for fair load allocation, loss reduction, and quality enhancement of voltage. Continuing our previous work on distributed optimization algorithms for such problems, this paper considers DC microgrids with subsystem dynamics. Inclusion of subsystem dynamics accommodates many real systems such as converter dynamics, impacts performance significantly, and complicates system analysis. Expanded system dynamics are derived, stability and convergence analysis are carried out, and main properties are established. Case studies are performed to demonstrate our methods and their performance.