A Hamiltonian control approach for electric microgrids with dynamic power flow solution

Abstract

In this paper, a control scheme for islanded electric microgrids is proposed. Exhibiting a dynamical structure and based on passivity, cascaded systems, and input-to-state stability arguments, the asymptotic stability properties of the closed-loop system are formally established to guarantee that voltage regulation and a power network balance are achieved. In contrast to other approaches, the controller design considers the differential–algebraic structure of the system obtained by the explicit inclusion of the network’s dynamic, the existence of both a grid-forming and grid-following nodes, and the highly nonlinear structure of the power balance equations.