Modelo para el cálculo de la histéresis por incertidumbre en el termistor a partir de la teoría de los sistemas memristivos

Abstract

In electrical instrumentation it is very common to use thermistors to measure temperature changes, which are generally analyzed by linear mathematical models, however, there are generally nonlinear variations that produce uncertainty due to hysteresis in the measured data. On the other hand, in the general theory of the memristive systems raised and studied by Chua (1971), new theoretical non-linear elements are studied that are incorporated to the basic elements of the electrical circuits theory that are memristor, memcapacitor and meminductor , which present cycles of hysteresis when modifying some of the variables of the system.

From the above, the present research shows the development of a new nonlinear mathematical model for the analysis of the hysteresis cycle in the thermistors that depend directly on the variations of the measurements of the input and output of the system relating the physical variables of current and voltage with the model of the memristivos systems, thus determining the transfer function of the system through a solution posed by an expansion in Taylor series for each one of the terms, that allows to obtain the cycle of hysteresis in the data measured by the thermistor and, finally, to demonstrate the model for the calculation of the uncertainty by hysteresis in the thermistor from the theory of memristive systems, an analysis of the mathematical model is made by means of experimental tests in thermistors conformed by BaT iO3 .