Siemens TV Converter Box 611 User Manual

Page of 324
Configuring the motor 
 
5.2 Example(s) 
transitional phases between acceleration/deceleration and the resulting angle changes are 
not taken into account. 
Since the areas below the curves for ω (t) are the same in both sections, the following 
applies: 
LQRULQ
LQ
 
The angular velocity ω
MAX
 achieved at t
1/2
 can be determined from the calculated angular 
acceleration: 
LQ
 
The speed n can be calculated from n = ω
MAX
/2π. 
 
 
Note 
1 rad = 180°/π = 57.296 ° 
1 rotation U = 360° or 2 π rad 
 
The following can be calculated with the values specified: 
Angular acceleration α = 52.36 rad/s
2
 
Angular velocity ω
MAX
 = 10.47 rad/s 
Speed n = 100 rpm 
 
The following applies for the required acceleration torque: 
M
a
 = (J + J
m
) • α 
Since the moment of inertia J
m
 for the 1FW6 motor is not known at this stage of the 
configuration process, J
m
 = 0 kgm
2
 must be assumed for the time being. 
M
a
 = 5.1 kgm
2
 • 52.36 rad/s
2
 = 267 Nm 
To accelerate the specified mass, a torque M
a
 of 267 Nm is required. 
M
m
 = M
r
 + M
a
 
M
m
 = 100 Nm + 267 Nm = 367 Nm 
In conjunction with the constant frictional torque M
r
, therefore, the motor torque 
M
m
 = 367 Nm. 
A suitable motor can be selected from the "Built-in torque motors: overview" table in 
accordance with the following criteria: 
Max. torque: at least 367 Nm 
Max. speed (at max. torque): at least 100 rpm 
Suitable motors: 
1FW6090-0PA15-2JC2 (diameter: 230 mm; length: 190 mm) 
1FW6130-0PA05-1JC2 (diameter: 310 mm; length: 90 mm) 
Moment of inertia of motor 1FW6090-0PA15-2JC2: J = 0.0465 kgm
2
 
 
1FW6 Built-in torque motors 
76
 
Configuration Manual, 05/2009, 6SN1197-0AD00-0BP7