RTD
From HwB
RTD = Resistive Temperature Device
Common type of RTD is Pt-100, which is a temperature sensor made from platinum. Resistance varies with temperature. 100Ω at 0 °C.
Contents |
Pt-100
Temperature | Resistance | |
---|---|---|
Pt-100 α=0.003750 °C^{-1} |
Pt-100 α=0.003850 °C^{-1} | |
°C | Ω | Ω |
-200 | 19.9 | 18.5 |
-100 | 61.2 | 60.3 |
0 | 100 | 100 |
100 | 138 | 139 |
200 | 174 | 176 |
300 | 209 | 212 |
400 | 243 | 247 |
500 | 275 | 281 |
600 | 307 | 314 |
700 | 337 | 345 |
800 | 366 | 376 |
850 | 380 | 390 |
Callendar-Van Dusen Equation
Given from RTD manufacturer:
Alpha, α
Delta, δ
Beta, β
Calculated from α, δ & β:
A = <math>\alpha + \frac{\alpha \times \delta}{100}</math>
B = <math>-\frac{\alpha \times \delta}{100^2}</math>
C = <math>-\frac{\alpha \times \beta}{100^4}</math>
Given:
R_{T} = Resistance (Ω) at T°C
R_{0} = Resistance (Ω) at 0°C (100 Ω for Pt-100)
T = Temperature in °C
Temperature according to ITS-90 (International Temperature Scale of 1990.
Calculated
R_{T} = R_{0} x (1 + A x T + B x T² + (T-100 °C) x C x T³) | for T < 0 °C |
R_{T} = R_{0} x (1 + A x T + B x T²) | for T > 0 °C |
Callendar-Van Dusen Constants
Constants
The purity of the metal will determine the constants.
Given | Calculated | ||||
---|---|---|---|---|---|
Alpha, α | Delta, δ | Beta, β | A | B | C |
°C^{-1} | °C | °C | °C^{-1} | °C^{-2} | °C^{-4} |
0.003750 | 1.605 | 0.16 | 0.381 x 10^{-3} | -6.02 x 10^{-7} | -6.0 x 10^{-12} |
0.003850 | 1.4999 | 0.10863 | 3.908 x 10^{-3} | -5.775 x 10^{-7} | -4.183 x 10^{-12} |
0.003902 | 1.52 | 0.11 | 3.96 x 10^{-3} | -5.93 x 10^{-7} | -4.3 x 10^{-12} |
0.003911 | 3.9692 × 10^{-3} | –5.8495 × 10^{-7} | –4.233 × 10^{-12} | ||
0.003916 | 3.9739 × 10^{-3} | –5.870 × 10^{-7} | –4.4 × 10^{-12} | ||
0.003920 | 3.9787 × 10^{-3} | –5.8686 × 10^{-7} | –4.167 × 10^{-12} | ||
0.003928 | 3.9888 × 10^{-3} | –5.915 × 10^{-7} | –3.85 × 10^{-12} |
Alpha, α, is sometimes known as TCR
0.003850 is according to IEC 751-2 standard. Made from 99.99% pure platinum.
Typical data
Standard | Typical data | ||
---|---|---|---|
α | Tolerance | R_{0} | |
BS EN 60751 1996 | 0.003850 °C^{-1} | ±0.05%, ±0.03%, ±0.02%, ±0.01% | 100 Ω |
DIN 43760 1980 | 0.003850 °C^{-1} | ±0.05% (1/2 DIN B), ±0.03% (1/3 DIN B), ±0.02% (1/5 DIN B), ±0.01% (1/10 DIN B) | 100 Ω |
IEC 60751:1995 | 0.003850 °C^{-1} | ±0.05%, ±0.03%, ±0.02%, ±0.01% | 100 Ω |
JIS C1604 - 1981 (Japanese Industrial Standard) | 0.003916 °C^{-1} | ±0.15ºC, ±0.2ºC, ±0.5ºC | 100 Ω or 50 Ω |
US Standard Curve | 0.003916 °C^{-1} | ±0.1 ohms | 100 Ω or 50 Ω |
BS 2G 148 (British Aircraft Industry) | 0.003900 °C^{-1} | ±0.1% (at 0ºC) | 130 Ω |
Graph
Temperature vs Resistance
Non linearity
This graph shows the affect of B & C in the Callendar-Van Dusen equation. Percentage error if the RTD would have been assumed to be linear.
Standards
- IEC 60751:1995
- BS EN 60751 1996
- DIN 43760 1980
- BS 2G 148
Sources
- Thermal Developments International Ltd.: Hand made platinum resistance temperature detectors
- Honeywell - Sensing and Control: Reference and Application Data - Temperature Sensors Platinum RTDs
- Pentronic: Platinum resistance thermometers