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Braking Resistors
1.3
Calculation formula
Braking time without
braking resistor
Required
braking torque
Peak braking power
Braking time with
braking resistor
Cyclic duration factor
Legend
J
=
mass moment of inertia motor
M
J
=
mass moment of inertia load
L
n
=
motor speed prior to deceleration
1
n
=
motor speed after deceleration (standstill = 0 rpm)
2
n
=
rated motor speed
N
M
=
rated motor torque
N
M
=
required braking torque
B
M
=
load torque
L
t
=
required braking time
B
t
=
minimum braking time
Bmin
t
=
Cycle time
Z
P
=
peak braking power
B
P
=
peak power of braking resistor
S
K
=
0,25 for motors to 1,5 kW (default three-phase asynchronous motor)
0,20 for motors 2,2...4 kW
0,15 for motors 5,5...11 kW
0,08 for motors 15...45 kW
0,05 for motors > 45 kW
cdf
=
Cyclic duration factor
GB - 4
t
Bmin
Valid range: n
M
= –––––––––––––––– – M
B
Conditions: M
Condition: P
t
= ––––––––––––––––––––––––––
Bmin
9,55 • (K • M
Valid range: n
Conditions: P
ED for t
≤ 120 s
Z
t
B
ED = ––– • 100 %
t
Z
ED for t
> 120 s
Z
t
B
ED = ––––– • 100 %
120 s
(J
+ J
) • (n
- n
)
M
L
1
2
= –––––––––––––––––
9,55 • (K • M
+ M
N
> n
(field weakening range)
1
N
(J
+ J
) • (n
- n
)
M
L
1
2
9,55 • t
B
≤ 1.5 • M
; f ≤ 70 Hz
B
N
M
• n
B
1
P
= ––––––
B
9,55
< P
B
S
(J
+ J
) • (n
- n
M
L
1
2
P
R
+ M
+ –––––––– )
N
L
(n
> n
1
N
• 9,55
–––––––– ≤ M
S
(n
- n
)
N
1
2
f ≤ 70 Hz
P
≤ P
B
S
f
t
Z
)
L
L
)
• 9,55
- n
)
1
2
• (1,5 -K)
t
B
[kgm
]
2
[kgm
]
2
[rpm]
[rpm]
[rpm]
[Nm]
[Nm]
[Nm]
[s]
[s]
[s]
[W]
[W]
t
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