40 EM-ABS-01 for ACU 03/12
][_][][ )4( urefDistanceuctDistance_auError
=
][_][ )5( ][ mrefDistanceAccuracyctDistance_amError
u
m
u
−⋅=
⎥
⎦
⎤
⎢
⎣
⎡
The error can be reduced by increasing the accuracy of the gear factors. By using the
2 decimal places of parameters
EC2 Gear Factor Numerator 513 and EC2 Gear
actor Denominato
514 and the optimization described in the previous step (“8
Optimization of gear factors”), accuracy can be increased.
t a maximum travel distance of 10 m, the following is obtained:
Non-optimized gear factors
Distance_nominal [rev] = 1 000 000 rev
Distance_actual [internal] = 23 633 609
Distance_actual [rev] = 1 000 131 rev
Error [rev] = 131 rev
Error [m] = 0.00131 m
Error [mm] = 1.3 mm
Optimized gear factors
Distance_nominal [rev] = 1 000 000 rev
Distance_actual [internal] = 23 630 769
Distance_actual [rev] = 1 000 011 rev
Error [rev] = 11 rev
Error [m] = 0.00011 m
Error [mm] = 0.11 mm
Note:
Parameter
EC2 Gear Factor Numerator 513 is limited in value ran
e
-300.00...300.00,
EC2 Gear Factor Denominator 514 is limited in value
ran
e 0.01 to 300.00. In many situations, choosin
a modifier is useful
which sets the greater of the two parameters to a value sli
htly below
300.00.