A Rapid Solution for the Maximum Loading Point of a Power System

Abstract

This paper presents a new solution method for computing the maximum loading point of a bulk power system under the condition where the loads of the nodes can be parameterized by a scaler which is the loading level of the system.
A special loading model, in which the loading level of the system depends on the voltage magnitude of a loading node, is adopted for the purpose of releasing the loadflow computation from the ill-condition near and at the maximum loading point. The loading level of the system is unknown in the abovementioned loading model. The maximum loading point is obtained by so adjusting the operating parameter as to achieve the maximum loading.
The operating parameter is adjusted in the converging process of the Newton Raphson's iterative computation. The adjustment is computed by a way based on the least squares estimation using the data set which is obtained from its own iteration process.
It is shown in numerical examples that the proposed method is satisfactorily rapid, stable, and accurate.