A Quasi-Newton Algorithm for Solving the Power Flow Problem in Inverter-Based Power Systems

This paper addresses the power flow problem for electric power networks that are based on inverter-interfaced resources. We consider inverter-based resources operating in grid-forming and grid-feeding modes, and formulate a power flow model that accounts for the terminal relations of these resources. Then, we present Newton's solution method for computing the unknowns in such model, and leverage the structure of the associated iterations to formulate a Quasi-Newton algorithm. We show that such algorithm is closely related to the conventional power flow solution method that is widely adopted in the power systems literature. Numerical results are presented to compare the performance of our proposed Quasi-Newton method to that of Newton's Method.