A Scalable Optimal Control Algorithm for the Operation of a Resilient Power Grid Architecture

The following paper presents details of a scalable optimal control algorithm for the operation and analysis of a resilient power grid architecture. The control consists of a reduced order model (ROM) that describes the grid, a discretization of the equations that result from the ROM, and an optimization formulation that controls the grid's behavior. The optimization algorithm then takes advantage of the physical structure of the grid, described within the optimization formulation, by decomposing the internal linear system solves based on the grid topology. This necessitates a modification of the optimization algorithm itself beyond preconditioning. In order to validate his approach, the paper presents computational results from a scalable grid architecture built from an AC microgrid model.