Balluff



Formulas and Conversions

Originator: Mike Bouts

Linear Product Specialist

This Technical Note is meant to help with common questions asked by both inside and outside customers. It addresses many of the common questions about formulas and conversion information needed by our customers.

Transducer Gradient:

For all digital Start/Stop and PWM output type transducers, a gradient number must be entered into the controller for proper scaling. This gradient number is included on the label of all digital Start/Stop and PWM (Px, Mx, Rx & Lx) output transducers. This gradient number may be noted in m/s or µs/in depending on where the transducer was manufactured. The gradient number may be requested in either form depending on the controller. Examples are as follows:

To convert from meters per second (m/s) to µsec per inch (µs/in):

o (1/meters per second) x 25,400 = µsec per inch

Example: (1/2850) x 25,400 = 8.9123 µs/in

To convert from µsec per inch (µs/in) to meters per second (m/s)

o (1/µs per inch) x 25,400 = meters per second (m/s)

Example: (1/8.9123) x 25400 = 2850 ms

The gradient number only applies to Start/Stop and PWM type outputs.

Resolution And Counts Per Inch:

Many questions are asked about the resolution values and the amount of counts per inch or millimeter needed for scaling purposes.

For the analog “Z” style transducers, the transducer has a 16-bit resolution. This equates to a value of 65,536 counts to be divided across the stroke length of the transducer. Theoretical resolution would be: resolution = stroke length/65,536 / Example: 12/65,536 = 0.0002” resolution

Remember that actual resolution depends on a number of other factors, such as electrical noise, and the resolution of the input device.

For Quadrature and SSI outputs, the resolution is determined by the part number of the transducer. Examples are as follows:

1um = 0.001mm Example: 1/0.001 =1000 counts per millimeter or 1um = 0.001mm/25.4 = 0.00003937” Example: 1/0.00003937 = 25,400 counts per inch

2um = 0.002mm Example: 1/0.002 = 500 counts per millimeter or 2um = 0.002mm/25.4 = 0.00007874” Example: 1/0.00007874 = 12,700 counts per inch

5um = 0.005mm Example: 1/0.005 = 200 counts per millimeter or 5um = 0.005mm/25.4 = 0.00019685” Example: 1/0.00019685 = 5,080 counts per inch

10um = 0.010mm Example: 1/0.010 = 100 counts pre millimeter or 10um = 0.010mm/25.4 = 0.0003937“ Example: 1/0.0003937 = 2,540 counts per inch

20um = 0.020mm Example: 1/0.020 = 50 counts per millimeter or 20um = 0.020mm/25.4 = 0.000787401” Example: 1/0.000787401 = 1,270 counts per inch

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Technical Note

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