# Arithmetical calculation:

The multi-gain factor is defined as the value of the manipulated variable at which the axis moves at a velocity of 1 m/min or 1000 °/min.

This section provides examples for calculating the multi-gain factor arithmetically for a Lightbus drive and for a Terminal drive. The gain factors of all transmission elements between the controller velocity command value output through to the moved axis are required to calculate the multi-gain factor arithmetically. They include:

- Scaling factors acting on the velocity command value
- Gear ratios
- Spindle pitches etc.

The procedure is always identical:

1. Calculate the conversion factor f between motor revolutions per minute and the command value transferred in the cyclic telegram.
2. Calculate the motor speed n1m/min required to move the axis at a velocity of 1 m/min or 1000 °/min.
3. The ratio between P-AXIS-00129 and P-AXIS-00128 is then equal to the product f * n1m/min.

## Notice

For a SERCOS drive with position control in the controller, the scaling factor (P-AXIS-00129/ P-AXIS-00128) is the velocity command value S-0-0036 that should be output to the drive so that the axis moves at a velocity of 1 m/min (translatory axis) or 1000 °/min (rotary axis).

The scaling factor is dependent on:

- the feed rate constant S-0-0123
- the weighting factor S-0-0045 and the weighting exponent
  S-0-0046 of the velocity data in the drive
- the gear ratios S-0-0121 and S-0-0122

## Additional information

- Example: Lightbus drive
- Example: Terminal spindle
- Example: Terminal spindle with gear
- Example: CNC-controlled, translatory axis with SERCOS Drive
- Example: CNC-controlled, rotary axis with SERCOS drive