Applying mixed point penalty model for optimal power flow

It is well known that applying nonlinear programming method to solve the problem of security economic optimal dispatching of power system maybe deficiency because it depends tightly on initial condition. The position of initial point, such as inside or outside of the feasible area, effects the searching direction of optimal solution greatly. The mixed point penalty model proposed in this paper can solve the problem. With adopting optimal gradient algorithm, the case study presents available.