CHAPTER 15 APPENDIXES
Capacity Selection Calculation 15-23
15
(9) Calculating the regenerative power
Regenerative operation is caused while the torque value is negative, in general as indicated below.
Horizontal feed: During deceleration
Vertical feed: During constant speed feed in the lowering cycle and during deceleration
Regenerative energy during deceleration (E
1
)
E
1
[J] = (2π/60) × T
DC
[Nm] × N[r/min] × t
DC
× (1/2)
Regenerative power during constant speed feed (E
2
) ←Mainly in lowering cycle
E
2
[J] = (2π/60) × T
L
[Nm] × N[r/min] × t
L
Accumulated energy on main circuit capacitor (E
3
)
E
3
[J] = (1/2) × C[F] × V
2
= (1/2) × C[F] × {390
2
- (200√2)
2
}
Regenerative power (P)
P[W] = { | (E
1
+ E
2
) | - E
3
} / (t
cyc
)
P≤0: No external regenerative resistor is necessary.
P>0: The external (internal) regenerative resistor is
necessary.
Calculate the average regenerative power (P) of each cycle of the operation pattern1 to check if P
is within the regenerative resistor capacity. If it is not, an external regenerative resistor is
necessary.
(10) Reviewing the operation pattern and mechanical configuration
If T
rms exceeds TR, review the following items.
Increase the acceleration/deceleration time a little in the allowable range.
Reduce the operation frequency (increase the cycle time).
If the rotation speed allows, increase the reduction ratio.
Increase the motor capacity.
If the stopping time of a hoisting machine is too long, adopt a mechanical brake.
In case of operation at a high frequency, increase the reduction ratio and reduce the inertia.
T
DC
: Deceleration torque [Nm]
T
L
: Load torque [Nm]
t
DC
: Deceleration time [s]
t
L
: Constant speed time [s]
t
cyc
: Cycle time [s]
C : Servo amplifier capacitor capacity [F]
→See page 15-29.
V
2
: Regenerative transistor ON level
2
- (200√2)
2
= 3902 - (200√2)
2