Baumuller b maXX BM3000 - Page 402

Set Value Generators
Parameter manual b maXX BM3000
Document no.: 5.12001.07 Baumüller Nürnberg GmbH
402
of 820
4.6
T
Ramp up
= Ramp-up time Z110.6–
T
HSK
= S-Curve ramp-up time Z110.9–
T
Ramp down
= Ramp-down time Z110.7–
T
HSK
= S-Curve ramp-down time Z110.10–
Figure 134: Ramp Function Generator S-Curve Profile
The equations apply only to a set value change from standstill (Set Value = 0%; Acceler-
ation = 0).
For set value changes less than 100%, two cases for determining the resulting ramp-up
and ramp-down times must be distinguished:
n the maximum acceleration or deceleration is achieved
n the maximum acceleration or deceleration is not achieved
In the following, the calculation of the resulting ramp-up time for the two cases is ex-
plained by means of examples for the ramp-up.
The calculation of a resulting ramp-down time would be performed in the same way using
the parameters
Z110.7– Ramp-down Time and Z110.10– S-Curve Ramp-down Time.
The times are set identically for the examples:
Z110.6– Ramp-up time = 800 ms = T
Ramp-up
Z110.9– S-S-Curve ramp-up time = 200 ms = T
Scurve
Example 1: Set Value changed by +50 %
Total set value change dV
total
= 50%
Calculate proportion of "S-Curve phase" in the acceleration process:
dV
Scurve
= T
Scurve
/ T
Ramp-up
* 100 % = 200 ms / 800 ms * 100 % = 25 %
dV
Scurve
< dV
total
maximum acceleration is achieved.
Calculate proportion of phase at maximum acceleration:
dV
amax
= dV
total
- dV
Scurve
= 50 % - 25 % = 25 %
Duration of phase at maximum acceleration:
t
amax
= dV
amax
/ 100 %* T
Ramp-up
= 25 % / 100 % * 800 ms = 200 ms
Now determine the resulting ramp-up time:
t
total
= 2 * T
Scurve
+ t
amax
= 2 * 200 ms + 200 ms = 600 ms
Example 2: Set Value changed by +12.5 %
Total set value change dV
total
= 12.5%
Calculate proportion of "S-Curve phase" in the acceleration process: