A more efficient formulation for computation of the maximum loading points in electric power systems

This paper presents a more efficient formulation for computation of the maximum loading points of power systems. A distinguishing feature of the new formulation is that it is of dimension (n+1), instead of the existing formulation of dimension (2n+1), for n-dimensional load flow equations. This feature makes computation of the maximum loading points very inexpensive in comparison with those required in the existing formulation. A theoretical basis for the new formulation is provided. The new problem formulation is derived by using a simple reparameterization scheme and exploiting the special properties of the power flow model. Moreover, the proposed test function is shown to be monotonic in the vicinity of a maximum loading point. Therefore, it allows one to monitor the approach to maximum loading points during the solution search process. Simulation results on a 234-bus power system are presented