AUTHOR=Yang Zhichun , Yang Fan , Chen Jiawen TITLE=Optimal power distributed control of the DC microgrid in meshed configuration JOURNAL=Frontiers in Energy Research VOLUME=Volume 11 - 2023 YEAR=2023 URL=https://www.frontiersin.org/journals/energy-research/articles/10.3389/fenrg.2023.1201271 DOI=10.3389/fenrg.2023.1201271 ISSN=2296-598X ABSTRACT=This paper proposes a Lyapunov-based power sharing control scheme and a fixed-time based distributed optimization algorithm to achieve optimal power sharing of sources in a DC microgrid. The Lyapunov-based controller is designed based on the so-called ratio-consensus protocol, where it drives the sources to a desired proportional power sharing by regulating the voltage profile of the DC microgrid. The distributed optimization optimizer is established by integrating a finite-time weighted consensus algorithm with an iterative algebraic operation, where it calculates the optimal power dispatch on the target of minimizing the generation cost. The optimizer receives the current output power of the controlled DC microgrid and sends the obtained power dispatch to the power sharing controller as the proportionality coefficients. Both controller and optimizer are carried out in a fully distributed way. Under the framework of Lyapunov method, stability analysis of the DC microgrid with the proposed control scheme, as well as convergence and optimality analysis of the distributed optimization algorithm, are provided. To demonstrate the effectiveness of the proposed method, a simulation on a DC microgrid with six buses is presented.