Mathematical rule

LOGO! functions

4.3 Special Functions

4.3.6Calculating the gain and offset of analog values

A sensor is connected to the analog input and converts a process variable into an electrical signal. This value of signal lies within the typical range of this sensor.

LOGO! always converts the electrical signals at the analog input into digital values from 0 to 1000.

A voltage of 0 to 10 V at input AI is transformed internally into a range of values from 0 to 1000. An input voltage exceeding 10 V is shown as internal value 1000.

Because you cannot always process the range of values from 0 to 1000 as predetermined by LOGO!, you can multiply the digital values by a gain factor and then shift the zero of the range of values (offset). This allows you to output an analog value to the LOGO! onboard display, which is proportional to the actual process variable.

Parameter	Minimum	Maximum
Input voltage (in V)	0	≥ 10
Internal value	0	1000
Gain	-10.00	+10.00
Offset	-10000	+10000

Actual value Ax =

(internal value at input Ax • gain) + offset

Gain and offset calculation

The gain and offset is calculated based on the relevant high and low values of the function. Example 1:

The available thermocouples have the following technical data: -30 to +70 °C, 0 to 10 V DC (i.e. 0 to 1000 in LOGO!).

Actual value = (internal value • gain) + offset, thus -30 = (0 • A) + B, i.e. offset B = -30

+70 = (1000 • A) -30, i.e. gain A = 0.1 Example 2:

A pressure sensor converts a pressure of 1000 mbar into a voltage of 0 V, and a pressure of 5000 mbar into a voltage of 10 V.

Actual value = (internal value • gain) + offset, thus 1000 = (0 • A) + B, i.e. offset B = 1000

5000 = (1000 • A) +1000, i.e. gain A = 4

	LOGO!
154	Manual, 04/2011, A5E03556174-01

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4.3.6Calculating the gain and offset of analog values

Parameter

Minimum

Maximum