The Holmorphic Embedding Applied to a Newton Raphson Power Flow Formulation

A class of nonlinear equation solvers known as the holomorphically embedding method, when applied to the power-flow problem is theoretically guaranteed to find an operable solution to the power-flow problem, if one exists, provided rather mild conditions are satisfied. To date, all of the published approaches use a Gauss-Seidel-based fixed-point form as the starting point for the embedding. We show that a fixed-point form based on a Newton-Raphson scheme may also be use and has some advantageous properties when attempting to find the saddle-node bifurcation point (SNBP).