Patent Document ID: 20120150504
Application ID: 13310829
Patent Flag: 0

Claim One:
1. An optimal power flow (OPF) method of operating a power system, comprising the steps of: a) determining power flows for a base case operation at least one contingency case operation of the power system, defined as a original discrete OPF problem; b) modifying the original discrete OPF problem to eliminate binary variables and introduce continuous relaxation of the discrete OPF problem; c) introducing slack variables to transform inequalities present in the original OPF problem, forming an “equality constrained” problem d) applying an interior point method to solve the continuous relaxation; e) creating a reduced Newton system of equations defining the solution; f) applying a chain rule process to the reduced Newton system to create an irreducible set of linear equations defining the original OPF problem; and g) solving the irreducible set of linear equations and generating a solution to the original discrete OPF problem.