ALTERNATING CURRENT (AC) POWER FLOW ANALYSIS IN AN ELECTRICAL POWER NETWORK

摘要

This disclosure generally concerns electrical power networks, and more particularly, a computer-implemented method for alternating current (AC) power flow analysis in an electrical power network. The method comprises (a) determining a relaxation of AC power flows in the electrical power network and (b) optimising an objective function to determine a relaxed optimum. The relaxation comprises a first constraint and a second constraint for each of multiple cosine terms. The first constraint is a quadratic function and the second constraint defines a feasibility space with the first constraint such that values of the cosine term are between the first constraint and the second constraint. When optimising the objective function, the function variables are constraint to the feasibility space and as a result, it is guaranteed that there is no physically feasible solution that is better than the determined solution because the value of the cosine term is between the two constraints.