Acromag Kelvin bridge

d2cc0eb8-4412-41c8-b968-ccd64a3a6840 39 8 12 decimal

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__ Reconciliate Pt100 Calculator __

-273.15 . . . 1084.5 °C

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Part: 4

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data char size clr plot k 1 data rows range r3 k el char : r4 k el size : r5 k el clr : 13 mat for data r3 r4 r5 augment 21 line :

°C 1 :

Ω 1 :

Smath al_nleqsolve λ 4.582374490 0.689736236 - 4.153686384 - 50.944725014 - 41 mat :

Mathcad  Minerr LM μ 1015.59658242 0.05304418 1.32997985 - 2.19590058 - 41 mat :

Mathcad Minerr LM ζ 795.75522816 0.05179366 0.39683701 1.58191684 - 41 mat :

231.928 419.524 660.323 961.78 41 mat

... exact eit90 inverse in the subCryo  [-259.3467...-189.3442] x λ subCryo λ 1 el x λ 3 el - (λ 2 el x *^(* 1 x ln + x λ 3 el - (- exp + λ 4 el + (* :

0.21585975 λ subCryo 189.3442 -

... exact eit90 inverse mid range[-189.3442  ... 156.5985 x μ Φ μ 1 el x μ 3 el - (μ 2 el x *^(* 1 x 2 + ln + x μ 3 el - (- exp + μ 4 el + (* :

1.89279768 μ Φ 231.928 - 0.02

...exact eit90 inverse upper range [231.928 ... 961.78] x ζ Extrapol ζ 1 el x ζ 3 el - (ζ 2 el x *^(* 1 x ln + x ζ 3 el - (- exp + ζ 4 el + (* :

1.89279768 ζ Extrapol 231.928

Ω °C Ω λ subCryo 0.00006230541 Ω ≤ (Ω 0.21585975 ≤ (& Ω μ Φ 0.21585975 Ω ≤ (Ω 1.89279768 < (& Ω ζ Extrapol 1.89279768 Ω ≤ (Ω 4.62715523 ≤ (& 4.62715523 ζ Extrapol cases :

Extrapolated eit90

eit90 273.15 - 0.00006230541 268.935 - 0.000155487 259.3467 - 0.00119007 248.5939 - 0.00844974 218.7916 - 0.09171804 189.3442 - 0.21585975 38.8344 - 0.84414211 0.01 1 29.7646 1.11813889 156.5985 1.60980185 231.928 1.89279768 419.527 2.5689173 660.323 3.3760086 961.78 4.28642053 1064.43 4.57255961 1084.5 4.62715523 162 mat :

Deviation °C(Ω) @ eit90  fixed
Exceptional recovery depending
upon the accuracy of measured Ω Δ°C X eit90 2 col : Y eit90 1 col : n eit90 rows : i 1 eit90 rows range u i el X i el °C eval : for Y Y u - 4 round vectorize augment 51 line :

Δ°C 273.15 - 0 268.935 - 0 259.3467 - 0 248.5939 - 0 218.7916 - 0 189.3442 - 0 38.8344 - 0 0.01 0 29.7646 0 156.5985 0 231.928 0 419.527 0 660.323 0 961.78 0 1064.43 0 1084.5 0162 mat

u 4 round vectorize

abs 0.00006230541 ≡

Ucertainty on Pt100

x Γ x Gamma :

vy incertitude n vy length : u vy StdDev n sqrt / n 1 - 2 / Γ n 1 - sqrt * n 2 / Γ 2 sqrt * / * : 21 line :

balistic region Φ(Ω,μ)
.... ε < 0.02 °C .... 156.5985 0_balistic 231.928 032 mat

vy Δ°C 2 col :

Uncertainty vy incertitude 0

http://bibli.ec-lyon.fr/exl-doc/patrimoine/11944V01/11944V01.pdf On ne pourra jamais déclarer les Wr du thermomètre théorique à résistance de platine; d'une part inférant à l'incertitude des mesures, d'autre part concluant le canevas résolvant. En d'autres mots: les Wr ne pourront que refléter la coïncidence résolvante. Dans les faits, le thermomètre théorique à résistance de platine n'existe pas par privation de la nature de se reproduire elle-même exactement et infiniment au grès de la transformation de l'homme. La nature ne donne le platine que sous forme de pépite ou par extraction. Le Créateur a donné la température [état et sensation physique] mais pas le thermomètre.

. . . in short: fixed points are physically generated at best, resistance measured at best .

In operation, it's the inverse, i.e: resistance is measured for a conclusive °C.

This is the all key of this document: calculate °C from measured resistance.

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Now: calibrate the XTR

read °C on-line 1.60980185 °C °C 156.5985

Calibrate the XTR [-100 ... 200 °C] Low High 21 mat Ω °C 100 - (- 0 ≡ Ω 0.2 1 solve Ω °C 200 - 0 ≡ Ω 12 solve 21 mat :

Low High 21 mat Ω 0.59493791 1.77363368 21 mat

100 - 20021 mat

data eit90 2 col eit90 1 col augment : x sub 1 0.00006230541 x ≤ (x 0.21585975 ≤ (& cases : x mid 1 0.21585975 x ≤ (x 1.89279768 ≤ (& cases : x up 1 1.89279768 x ≤ (x 4.62715523 ≤ (& cases : fixed eit90 2 col eit90 1 col augment : fixed fixed o 7 black plot : 61 sys

x °C x mid * x °C x up * fixed 0.6125 94.3 - + 20 red 1 5 mat 4 1 sys

inflexion 0.6125 94.3 - 12 mat ≡

x °C x sub * fixed 2 1 sys

User most common

38.8344 - 0.01 29.7646 156.5985 231.928 51 mat

ρ 997.46316714 0.05214427 1.18339077 - 2.15115758 - 41 mat :

... exact eit90 inverse in the user [-38.8344...231.928] x ρ user ρ 1 el x ρ 3 el - (ρ 2 el x *^(* 1 x 1.825 + ln + x ρ 3 el - (- exp + ρ 4 el + (* :

2.14284029 ρ user 300.03

Part: 3

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The upper Pt100 calculator

- 189.3442 . . . 961.78 °C

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midup global segment ± 0.005 °C
          [-189.3442 ... 961.78 °C]
strictly  limited  [-189.3442 °C] x midup c 1 el c 2 el x * + c 3 el x 2^* + c 4 el x 3^* + 1 c 5 el x * + c 6 el x 2^* + c 7 el x 3^* + / :

c 19202470687043 - 783303097833856 - 290262.9 41930.8 - 841.72 71 mat :

1.60980185 midup 156.5985 - °C 0.0062

eit90 eit90 614 range 21 range el :

eit90 0.21585975 189.3442 - 0.84414211 38.8344 - 1 0.01 1.11813889 29.7646 1.60980185 156.5985 1.89279768 231.928 2.5689173 419.527 3.3760086 660.323 4.28642053 961.78 92 mat

Δ°C X eit90 1 col : Y eit90 2 col : n eit90 rows : i 1 eit90 rows range u i el X i el midup eval : for Y Y u - 3 round vectorize augment 51 line :

Δ°C 189.3442 - 0 38.8344 - 0.004 - 0.01 0.004 29.7646 0.003 156.5985 0.006 - 231.928 0.003 419.527 0 660.323 0 961.78 092 mat

Rosemount 162 CE SPRT

-200 . . . 661 °C Resistance value of 25.5 W

Accuracy 0.001 °C Long term drift 0.01 °C/year

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C 2.78157254 1.64650916 0.13714390 - 0.00649767 - 0.00234444 - 0.00511868 0.00187982 0.00204472 - 0.00046122 - 0.00045724 101 mat :

D 439.932854 472.418020 37.684494 7.472018 2.920828 0.005184 0.963864 - 0.188732 - 0.191203 0.049025 101 mat :

273.15 - 0.00006230541 268.935 - 0.000155487 259.3467 - 0.00119007 248.5939 - 0.00844974 218.7916 - 0.09171804 189.3442 - 0.21585975 38.8344 - 0.84414211 0.01 1 29.7646 1.11813889 156.5985 1.60980185 231.928 1.89279768 419.527 2.5689173 660.323 3.3760086 961.78 4.28642053 1064.43 4.57255961 1084.5 4.62715523 162 mat

t Wr C i el t 754.15 273.15 - (- 481 / (i 1 -^* (i 110 sum :

Wr T D i el Wr 2.64 - 1.64 / (i 1 -^* (i 110 sum :

4.28642053 T 961.78

300 Wr 2.14284029

Part: 5

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Reconciliate Pt100 calculator

- 273.15 . . . 961.78 °C

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c 19202470687043 - 783303097833856 - 290262.9 41930.8 - 841.72 71 mat :

eit90 273.15 - 0.00006230541 268.935 - 0.000155487 259.3467 - 0.00119007 248.5939 - 0.00844974 218.7916 - 0.09171804 189.3442 - 0.21585975 38.8344 - 0.84414211 0.01 1 29.7646 1.11813889 156.5985 1.60980185 231.928 1.89279768 419.527 2.5689173 660.323 3.3760086 961.78 4.28642053 1064.43 4.57255961 1084.5 4.62715523 162 mat :

Smath al_nleqsolve λ 4.582374490 0.689736236 - 4.153686384 - 50.944725014 - 41 mat :

... exact eit90 inverse in the subCryo  [-259.3467...-189.3442] x λ subCryo λ 1 el x λ 3 el - (λ 2 el x *^(* 1 x ln + x λ 3 el - (- exp + λ 4 el + (* :

midup global segment ± 0.005 °C
          [-189.3442 ... 961.78 °C]
strictly  limited  [-189.3442 °C] x midup c 1 el c 2 el x * + c 3 el x 2^* + c 4 el x 3^* + 1 c 5 el x * + c 6 el x 2^* + c 7 el x 3^* + / :

x Pt100New x λ subCryo 0.00006230541 x ≤ (x 0.21585975 ≤ (& x midup cases :

eit90 eit90 114 range 21 range el :

eit90 0.00006230541 273.15 - 0.000155487 268.935 - 0.00119007 259.3467 - 0.00844974 248.5939 - 0.09171804 218.7916 - 0.21585975 189.3442 - 0.84414211 38.8344 - 1 0.01 1.11813889 29.7646 1.60980185 156.5985 1.89279768 231.928 2.5689173 419.527 3.3760086 660.323 4.28642053 961.78 142 mat

Δ°C X eit90 1 col : Y eit90 2 col : n eit90 rows : i 1 eit90 rows range u i el X i el Pt100New eval : for Y Y u - 3 round vectorize augment 51 line :

Δ°C 273.15 - 0 268.935 - 0 259.3467 - 0 248.5939 - 0 218.7916 - 0 189.3442 - 0 38.8344 - 0.004 - 0.01 0.004 29.7646 0.003 156.5985 0.006 - 231.928 0.003 419.527 0 660.323 0 961.78 0142 mat

Alike CIPM in two segments, however in digestible maths. Convenient for most demanding industrial applications ≤ 0.005

Calibrate 'Pt100'

1. Plunge the the T/C in triple point 0.01 °C bath , c/w the extension wiring.

2. Shift the reading to read 0.01 °C.

3. @ reproducible purity 99.999, Pt100 prperties repeat but not so much

fabrication, thus a measuring loop must be calibrated for best result.

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https://www.wika.us/upload/DS_IN0031_en_co_65453.pdf

Acromag Kelvin bridge

https://www.acromag.com/sites/default/files/RTD_Temperature_Measurement_917A.pdf

https://www.thermoworks.com/Calibration-Baths https://www.ametekcalibration.com/products/temperature/temperature-calibrators

Callendar-Van Dusen

Callendar-Van Dusen

A 3.9083 103 -^* : B 5.775 107 -^* - : C 4.183 1012 -^* - : Ro 1 : 41 sys

t Wr Ro 1 A t * + B t 2^* + (* : Wr t Ro A * - Ro Ro A 2^* 4 B * Wr * + 4 Ro * B * - (* sqrt + 2 Ro * B * / : 21 sys

t Wr Ro 1 t A B t * + C 100 - t + (* t 2^* + (* + (* : inversing Wr(t) check if possible via Lagrange method Wr t Wr - Ro 1_Z A B_Z * + 100 C *_Z 2^* - (* + C_Z 4^* + (* + RootOf ≡ Wr - Ro 1 t A B t * + 100 C * t 2^* - (* + C t 4^* + (* + t root Wr t argument Wr - Ro 1 t A B t * + 100 C * t 2^* - (* + C t 4^* + (* + : 51 sys

Solving for (t), given (Wr)... Roots(range) => 0,t,-200,0 Wr t Sol Wr t argument 0 ≡ t 50 - 0 solve :

0.84414211 t Sol °C 39.64 -

38.8344 - Wr 0.84731857

0.84731857 t Sol °C 38.83 -