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TitleTemperature Errors in Linearizing Resistance Networks for Thermistors
Publication TypeJournal Article
Year of Publication2015
AuthorsWhite, D.R.
JournalInternational Journal of Thermophysics
Date Published2015
ISSN0195928X (ISSN)
KeywordsElectric network topology, electric resistance, Errors, Interpolation, Linearity, Narrow temperature ranges, Operating temperature, Relative errors, Resistance network, Resistors, Temperature, temperature dependence, Temperature distribution, Temperature error, Temperature range, Thermistors
AbstractIt is well known that a single negative-temperature-coefficient thermistor can be linearized over a narrow temperature range by connecting a single resistor in parallel with the thermistor. With the linearizing resistor properly chosen for the operating temperature, the residual errors are proportional to the cube of the temperature range and have a peak value of about (Formula presented.) for a (Formula presented.) range. A greater range of temperatures can be covered or greater linearity be achieved by cascading thermistor–resistor combinations. This paper investigates the limits of the linearity performance of such networks by using interpolation to model their behavior. A simple formula is derived for estimating the residual non-linearity as a function of the number of thermistors, the temperature range covered by the network, and the constant characterizing the exponential temperature dependence of the thermistors. Numerical simulations are used to demonstrate the validity of the formula. Guidelines are also given for circuit topologies for realizing the networks, for optimizing the design of the networks, and for calculating the sensitivities to relative errors in the component values. © 2015 Springer Science+Business Media New York

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