Siemens TV Converter Box 611 User Manual
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
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
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
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
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:
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
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