38 EM-ABS-01 for ACU 03/12
4th step: Determine the encoder resolution:
First determine the number of user units per encoder increment. If, for example, the
encoder features a resolution of 1 mm and 0.01 is to be used as the “user unit”, β =
100.
β = Number of user units per encoder increment
5th step: Calculate Bits/Turn 1271 :
The reference system and the number of user units per encoder increment β deter-
mine parameter
Bits/Turn 1271.
]
⋅
⋅
⋅β
=
1117
11161115
:
U
u
2
Log/
sRevolutionMotorShaftearBoxG
onsftRevolutiDrivingSha:arBoxeGConstant Feed
lutionRevoBits
or
β
⋅=
β
=
Ln
2Ln
1
2
Log/
R
olutionRevBits
R
Round the value up to the next natural number.
With the values above,
Bits/Turn 1271=5.
Note: Conversion of logarithm base 2 and other bases:
2Ln
Ln
2
10
Log
10
Log
2
Log
a
a
a ==
6th step: Calculate Bits Multiturn 1272 :
its Multiturn 1272 is calculated from the subtraction of the total number of position
bits of the encoder with the
Bits/Turn 1271 calculated above.
UmdrehungBitsGeberBitsMultiturn /−=
With the values above, Bits Multiturn 1272=19.
7th step: Calculation of speed sensor 2 gear factors
For calculation of speed sensor 2 gear factors, the
preliminary numerator
is calcu-
lated first as follows:
Preliminary Numerator
= 2 ^ Bits/Turn 1271
Then, the preliminary denominator is calculated:
]
⋅
⋅
⋅β
=
1117
11161115
:
U
u
sRevolutionMotorShaftearBoxG
onsftRevolutiDrivingSha:arBoxeGConstant Feed
oryDenominatPreliminar
or
β
=
R
oryDenominatPreliminar