Formula for analog scaling in PLC

:triangular_ruler::gear: ANALOG SCALING FORMULA IN PLC: Convert Raw Input Into Engineering Units! :counterclockwise_arrows_button:

A PLC analog input usually does not directly give you the actual process value.

For example, a pressure transmitter may measure:

0–10 bar

while the PLC analog input module may provide a raw digital value such as:

0–27648

So we need to scale the raw PLC value into engineering units.


:small_blue_diamond: The Standard Analog Scaling Formula

image

Where:

:small_blue_diamond: EU = Engineering Unit value
:small_blue_diamond: Raw = Actual PLC raw input
:small_blue_diamond: Rawmin = Minimum raw input
:small_blue_diamond: Rawmax = Maximum raw input
:small_blue_diamond: EUmin = Minimum engineering value
:small_blue_diamond: EUmax = Maximum engineering value


:factory: Example: 4–20 mA Pressure Transmitter

Suppose:

:satellite_antenna: Transmitter range = 0–10 bar

PLC raw range:

4 mA = 0
20 mA = 27648

If the PLC receives:

Raw = 13824

Then:

:bullseye: PLC displays = 5 bar


:counterclockwise_arrows_button: Another Example

Suppose a temperature transmitter has:

:thermometer: Range = βˆ’50 to 150Β°C

PLC raw range:

0–27648

Raw input:

13824

Then:

:white_check_mark: Raw 13824 = 50Β°C


:bar_chart: 4–20 mA Scaling Formula

For a 4–20 mA signal, a commonly used direct formula is:

Example:

:satellite_antenna: Transmitter = 0–100 bar
:inbox_tray: Input = 12 mA

:bullseye: 12 mA = 50 bar


:warning: Don’t Forget the Difference

Raw Scaling:

:backhand_index_pointing_right: PLC raw value β†’ Engineering Units

Current Scaling:

:backhand_index_pointing_right: 4–20 mA β†’ Engineering Units

Both ultimately perform the same job:

:counterclockwise_arrows_button: Convert the input signal into a meaningful process value.

:light_bulb: Easy Formula to Remember

Engineering Value = Low Limit + [(Input βˆ’ Input Low) Γ— Range] Γ· Input Range

This formula is widely applicable to:

:gear: PLC
:desktop_computer: DCS
:bar_chart: SCADA
:control_knobs: Analog Input Modules
:electric_plug: 4–20 mA Systems

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