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Page 60 of 91 TR-ECE-BA-GB-0163 v03 10/07/2020
REVOLUTIONS NUMERATOR / REVOLUTIONS DENOMINATOR
These two parameters together define the number of revolutions, before the measuring system
starts at 0 again.
As decimal numbers are not always finite (such as 3.4), but may have an infinite number of digits after
the decimal point (such as 3.43535355358774...) the number of revolutions is entered as a fraction.
UDINT
1
256000
65536
UDINT
1
16384
Formula for gearbox calculation:
Measuring range in steps = number of steps per revolution *
Number of numerator revolutions
Number of denominator revolutions
If it is not possible to enter parameter data in the permitted ranges of numerator and denominator, the
attempt must be made to reduce these accordingly. If this is not possible, it may only be possible to
represent the relevant decimal number approximately. The resulting minor inaccuracy accumulates for
real round axis applications (infinite applications with motion in one direction).
A solution is e.g. to perform adjustment after each revolution or to adapt the mechanics or gear ratio
accordingly.
The parameter Number of steps per revolution may also be a decimal number, however the
measuring range may not. The result of the above formula must be rounded up or down. The
resulting error is distributed over the total number of revolutions programmed and is therefore
negligible.
Preferably for linear axes (forward and backward motion):
The parameter Revolutions denominator can be programmed as a fixed value of “1” for linear
axes. The parameter Revolutions numerator is programmed slightly higher than the required
number of revolutions. This ensures that the measuring system does not generate an actual value
jump (zero transition) if the travel is slightly exceeded. For the sake of simplicity, the full revolution
range of the measuring system can also be programmed.
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