| The paper proposed an approach using the exterior point method (EPM) for optimal power flow (OPF). The EPM algorithm has a 1.5Q super linear rate under the standard second order optimality conditions. For implementing the global convergence OPF, a global exterior point method for optimal power flow (GEPM-OPF) is constructed through combining the algorithm of backtracking line search and the EPM. The main characteristic of this method has good global convergence and fast local convergence. The GEPM-OPF was numerically implemented and tested on OPF problem from some IEEE testing systems. Numerical results show that the convergence rate of GEPM-OPF method mentioned above is verified, and the ill-conditioning of the Hessian of minimized function becomes irrelevant for the EPM once primal-dual vector enter into the neighborhood of the OPF optimum solution. |