Application of minimum loss property of resistive networks to power scheduling

The load flow equations of a loss less transmission system has the same structure that of a nonlinear resistive network. By utilizing the minimum loss property of nonlinear resistive networks [9], the solution to the load flow equation can be characterized as the minimum of a suitably defined function. This characterization is utilized in solving the problem of scheduling power for economic operation of power systems, while taking account the transient stability margin of the resulting operating point. For the model used in this paper it is shown that the solution is essentially a load flow problem of a suitably modified system.