Taylor series approximation of ZIP model for on-line estimation of residential loads' parameters

Electric models of loads are typically obtained from power measurements by imposing voltage variations within a large range beyond the recommended limits of normal operation. This traditional approach gives good results but is not adapted for the estimation of models' parameters while the load is fed by the utility voltage. This paper proposes a novel approach of static model based on the Polynomial (ZIP) model; the proposed approach uses Taylor series approximation (TSA) to represent the active and reactive power close to the nominal value of the utility voltage. This model allows the representation of the power consumption through the real voltage variations of the electrical system and permits the on-line estimation of the loads' parameters. Simulation and experimental results using common loads are provided confirming the advantages of the proposed method compared to the classic approach.