An optimal power flow based on safety barrier interior point method

This paper presents a method for nonlinear systems optimization based on a modified barrier function by the introduction of a safety barrier parameter into the Interior Point Method (IPM). The new parameter eliminates the existing problems of the variables proximity to the frontier improving the numerical solution process. This feature reduces the number of iterations and improves the quality of the solution even for systems having high number of active constraints and variables on the frontier of the feasible region. A tutorial three bus test system is presented to illustrate the potentialities of the Safety Barrier Interior Point Method (SFTB-IPM) method. Comparisons were also made with existing methods in the literature using the IEEE 118 and IEEE 300 buses test system to show the effectiveness of the proposed methodology.