Desenvolvimento de um modelo matemático para varistores de óxido de zinco.

Abstract

In this work, two mathematical models were developed capable of representing the dynamic behavior of a zinc oxide varistor. For this, systems identification techniques were used, that allowed the creation of models that determine relationship between current and voltage in a zinc oxide varistor, without explaining the physics of the process. To develop and validate the proposed mathematical model, a database was constructed with samples of varistors with different physical characteristics. The varistors were subjected to current pulse signals with different amplitudes and waveforms, with front times ranging from 1.5 to 30 μs. The determination of the parameters of the developed models is carried out using the least squares method, which must be applied the response to the standard current impulse 8/20 μs. Thus, the developed models are able to represent the response of the different varistors using only information that is typically provided by the manufacturers. It was also proposed a simulation procedure that allows the models developed in this work to be used on the ATP software, which is used to performer simulations of transients on power systems. The performance of the developed models was compared with the performance of traditional models, it was observed that the proposed models were able to represent the response of the varistors overcoming the limitations of the existing models. The development of this work brought as main contributions, a broad database that characterizes the dynamic behavior of the varistors, a model of varistors fully functional and with unique characteristics in comparison with the existing ones and a simulation procedure allows the interaction of mathematical models and Electrical systems in the ATP environment.