Effect of different load models on the three-sample based quadratic prediction algorithm

A quadratic prediction algorithm has been proposed previously that estimates the future state from three preceding values of the same state. The original proof of that algorithm was developed based on loads changing at constant power factor. Since real power system loads are composite in nature, it is important to analyze that algorithm´s performance for different load models. This paper studies the effect of constant power load, constant current load, constant impedance load, and the WECC load model on the performance of the three-sample based quadratic prediction algorithm. The analysis is performed using the IEEE-118 bus system, a 4000-bus WECC model, as well as real-data obtained from a utility. The results indicate that the three-sample based quadratic prediction algorithm is able to estimate the states accurately for all the load models.