### Author Topic: How to scale an analog input data  (Read 111399 times)

#### support

• Global Moderator
• Hero Member
• Posts: 3127
##### How to scale an analog input data
« on: February 15, 2004, 07:03:23 PM »
The built-in analog ports on all the M-series PLC return data in the range of 0 to 4092 which corresponds to the full range of voltage input presented at the analog pin. However, very often a user needs a formula to translate this numeric data into units meaningful to the process (e.g. degree C or F, psi etc).  To do so, you need to know at least two reference points of how the native unit map to the PLC's ADC reading.

Reference Point              ADC Reading
===========             ==========
x1                                  a1
x2                                  a2

Hence, for any reading A = ADC(1), the corresponding X is derived from:

X - x1          A - a1
---------  =  -----------
x2 - x1          a2 - a1

==>  X = (x2 - x1)*(A - a1)/(a2 - a1) + x1

Note that since x1,x2,a1, and a2 are all constants the actual formula is much simpler then it appears above.

E.g. Temperature measurement
========================

Temp            ADC(n)
30               200
100              3000

So for any ADC readings A, the temperature is:

X = 70*(A - 200)/2800 + 30

Note: To get better resolution , you can represent 30 degree as 300 and 100 degree as 1000 so if X = 123 it means 12.3 degree.

[Edit 2014/7]: If you are using Fx PLC or the SmartTILE-Fx then you can use floating point operation directly without having to use integer to emulate the decimal point. So the formula could be:

X# = 70.0*(A-200.0)/2800.0 + 30.0

« Last Edit: March 16, 2016, 09:09:08 AM by support »
Email: support@triplc.com
Tel: 1-877-TRI-PLCS

#### Fernandz

• Newbie
• Posts: 10
##### Re:How to scale an analog input data
« Reply #1 on: March 12, 2004, 08:56:15 PM »
I just posted in "Technical" about a sensor that has a 32 to 200 Deg. F range. This is what I know about scaling I hope it helps.
We know that our ADC is 0-5volts and will send a count of 0 to 4092
So a 5 volt signal will be counted as 4092, and 0 volts will be a count of 0. Lets say our sensor outputs a signal thats proportional to temp. say .010v per'F and at 32 DegF we have an output of .32 volts.......... (.32 / .010v)=32'F and 200'F is an output, from the sensor, as 2 volts.......(2/.010v)=200'F

|---|---|---|---|---|---|---|---|---|---|---|---|---|
0      .32v               2v                               5v  ' ADC volts
|                   |
0      261              1637                            4092 ' Converter count
[-- Our Sensor--]

In order to get the Converter count of 261 and 1637 I use the formula
count=4092/5*ADC(voltage)

So count=4092/5*.32
count=818*.32
count=261

Once you have your converter counts then use the above formulas to read temps. EG.  temp=168*(ADC(n)-261)/1376+32

This is how I do it, keep in mind I'm no engineer and self taught.

#### DAlgie

• Newbie
• Posts: 16
• Using PLC for aircraft controller
##### Re:How to scale an analog input data
« Reply #2 on: July 25, 2004, 09:23:30 PM »
I have a nice Excel program for doing just this, scaling an analog input. I'll send it to anyone who wants it.
« Last Edit: January 17, 2005, 10:10:46 AM by support »

#### Ruaidhri

• Newbie
• Posts: 2
• I'm a llama!
##### Re:How to scale an analog input data
« Reply #3 on: June 20, 2014, 08:42:14 AM »
@DAlgie
could you send me a copy of this im starting to struggle with these adc's
thanks in advance
Ruaidhri