Regenerative Brakign Power; Horizontally Moving, Deceleration; Examples Of Calculation For Model Type Selection - Fuji Electric Faldic-a RYS-R Series User Manual

If the actual torque surpasses the rated torque, the following items should be reviewed.
・Slightly reduce the frequency of acceleration and deceleration.
・Review decel. method or decel. ratio, etc. and set feed speed appropriately.
・If motor torque is generated even during stop, a mechanical equipment system should be selected so as to minimize the necessity for
torque at stop.
・To maintain motor response at a satisfactory level, it is recommended to restrict the moment of load inertia within the twofold value of
moment of inertia of motor rotor. If higher frequent operation is absolutely required, the moment of load inertia should be further reduced.
(g) Regenerative brakign power
(i) Horizontally moving, deceleration
P = 0.105 × T × N × ( 1 / 2 ) [W]
1 DC 10
Where,
T = Decel. torque [ N・m]
DC
N = Speed at decel. duration [ r/min ]
10
(ii) Vertically, lowering
P = 0.105 × T × N [W]
2 L0 20
Where,
T = Load torque at lowering [ N・m]
L0
N = Speed at lowering [ r/min ]
20
(iii) Mean braking power per cycle
P × t + P × t
1 1 2 2
P =
t
CYC
Where,
t , t : Decel. time during P /P
1 2 1

(3) Examples of calculation for model type selection

Selection of the output of the motor used for driving the table (horizontally moving body) shown below is exemplified here.
For capacity selection, calculation is required in the following selection procedure.
(i) Moment of inertia of load via conversion into motor shaft
a) Movable part (table) (J )
L1
2
 
1 BP
= × × 2
J W GL
 
L 1
3
2 10
 
π
Where, W : Mass (weight) of table
b) Ball-screw (J )
L2
4
ρ
 
BL BD
π
= × × ×
J
 
L 2
3 3
32 10 10
 
Where, ρ : Density of ball-screw (assumed as 7850 [kg/m
thus, J = J + J = 0.11 × 10
L L1 L2
[W]
operation
2
Mass : 20 [kg]
2
 
1 10
( )
2
= × ×
20 1 1 /
 
3
2 10
 
π
× × 3
7 85 10 . 500
π
2 = ×
GL
3
32 10
-3 2
[kg・m ]
= 20 x 10 x 500
2
−
= × 3 [kg・m 2 ]
0 05 10 . [ kg m ]
・
4
 
20
( )
2
× × = ×
1 1 / 0 06 10 .
 
3
10
 
3
])
11-7
x x
2
−
3 2
[kg・m ]
[ kg m ]
・
MHT260a (Engl.)