Temperature Coefficents

Did you send your RTD for calibration? Did you get Certificate of Calibration? and now you have realized your unit ask for coefficients? So are you in doubt what to do? Are you calling your laboratory, but they do not want to deal with you? Or just they do not want to share with you how to get coefficients for your unit? See the procedure below:

Let’s see. On our certificate are given following datas:

Actual     Indicated

T                   R

Temp.    Resistance

(°C)              (Ω)

25.00       110.336

36.99      115.068

50.00     120.201

89.99     136.851

124.99   149.37

we are going to use these values  to write a set of equations to find out coefficients A, B, C of the polynomial function

T = A + B·R + C·R2

——————————————————————————–

Set of Equations

T1 = A + B·R1 + C·R12

T2 = A + B·R2 + C·R22

T3 = A + B·R3 + C·R32

T4 = A + B·R4 + C·R42

T5 = A + B·R5 + C·R52

 

Solution: – use matrix formula

(type in Matlab)

M1 = [T1;T2;T3;T4;T5]

M2=[1 R1 R1^2;1 R2 R2^;1 R3 R3^2;1 R3 R3^2;1 R4 R4^2;1 R5 R5^2]

Solution

S= inv(M2’*M2)*M2’*M1

Coefficients are:

S=(32.221 2.300 0.001)

If you want to know more about it, just give me a call 😉

 

Posted in Temperature, Uncertainty measurement.