## A Metrology Experiment For Engineering Students: Platinum Resistance Temperature Detector

Conference

2000 Annual Conference

Location

St. Louis, Missouri

Publication Date

June 18, 2000

Start Date

June 18, 2000

End Date

June 21, 2000

ISSN

2153-5965

Page Count

9

Page Numbers

5.35.1 - 5.35.9

DOI

10.18260/1-2--8562

Permanent URL

https://strategy.asee.org/8562

330

#### Abstract NOTE: The first page of text has been automatically extracted and included below in lieu of an abstract

Session 1359

Metrology Experiment for Engineering Students: Platinum Resistance Temperature Detector

Svetlana Avramov-Zamurovic, Carl Wick, Robert DeMoyer United States Naval Academy

Abstract

This paper describes the use of a platinum resistance temperature detector to develop a calibration experiment and to introduce metrology principles. The Callender-Van Dusen equation is used to analyze the temperature-resistance characteristic of a detector. Linearity of this characteristic is explored using a MATLAB simulation. Resistance is measured at four different temperatures to estimate all of the parameters in Callender- Van Dusen equation. Since the uncertainty of temperature and resistance measurements during calibration determines the accuracy of the temperature measurements using platinum detector, it is necessary to assess the calibration errors. A simulation package is developed that applies different levels of errors into measurements used for parameter estimation. The goal is to study the influence of calibration uncertainty on the temperature detector’s readings. The next challenge is a practical realization of the calibration process. A simple experiment is proposed and the least square fit is used to estimate the parameters.

1. Introduction

Electrical resistivity of metals and semiconductors increases when they are heated. This mechanism is used in temperature measurements. Platinum resistance temperature detectors yield a reproducible resistance temperature relationship as resistance varies with temperature. The relationship between resistance and temperature for platinum wire resistance temperature detectors is given by Callender-Van Dusen equation [1]:

Rt = R0 {1 + a[t + b(1-t/100)(t/100) + d(1-t/100)(t/100)3]} (1)

Where Rt = resistance at temperature t, R0 = ice point resistance at 0.01°C, a = temperature coefficient of resistance near 0°C, b = temperature coefficient of resistance near 100°C, d = Van Dusen constant, t = temperature in degrees Celsius.

DeMoyer, R., & Wick, C., & Avramov-Zamurovic, S. (2000, June), A Metrology Experiment For Engineering Students: Platinum Resistance Temperature Detector Paper presented at 2000 Annual Conference, St. Louis, Missouri. 10.18260/1-2--8562

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