65
– Pvd3665_Gb_Ex_August 2022
3.2.8. Time constants of the motor
3.2.8.1. Electric time constant:
ph
ph
ph
ph
elec
R
L
_
_
=
With following values given in the motor data sheet
L
ph_ph
inductance of the motor phase to phase [H],
R
ph_ph
resistance of the motor phase to phase at 25°C [Ohm].
Example:
Motor series EX620EAO
L
ph_ph
= 14 mH or 14.10
-3
H
R
ph_ph
at 25°C = 1.63 Ohm
→
elec
= 14.10
-3
/1.63 =
8.6 ms
An overall summary of motor time constants is given a little further.
3.2.8.2. Mechanical time constant:
3
*
)
3
*
3
(
*
*
5
.
0
*
*
_
_
_
_
_
ph
ph
ph
ph
ph
ph
n
ph
n
ph
mech
Ke
Ke
J
R
Ke
Kt
J
R
=
=
2
_
_
)
(
*
*
5
.
0
ph
ph
ph
ph
mech
Ke
J
R
=
With following values obtained from the motor data sheet:
R
ph_ph
resistance of the motor phase to phase at 25°C [Ohm],
J
inertia of the rotor [kgm²],
Ke
ph_ph
back emf coefficient phase to phase [V
rms
/
rad/s
].
The coefficient
Ke
ph_ph
in the formula above is given in [V
rms
/rad/s]
To calculate this coefficient from the datasheet, use the following relation:
60
1000
*
*
2
]
1000
/
[
_
]
/
/
[
_
rpm
V
ph
ph
s
rad
V
ph
ph
rms
rms
Ke
Ke
=
Example:
Motor series EX620EAO
R
ph_ph
at 25°C = 1.63 Ohm
J = 98.10
-5
kgm²
Ke
ph_ph
[V
rms
/
1000rpm
] = 81.7 [V
rms
/
1000rpm
]
→
Ke
ph_ph
[V
rms/rad/s
] = 81.7/(2*
*1000/60) = 0.7802 [V
rms/rad/s
]
→
mech
=0.5*1.63*98.10
-5
/(0.7802²) =
1.3 ms
Summary of Contents for EX Series
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Page 19: ...19 Pvd3665_Gb_Ex_August 2022 Compliance with UL standards...
Page 20: ...20 Pvd3665_Gb_Ex_August 2022 Compliance with UL standards...
Page 73: ...73 Pvd3665_Gb_Ex_August 2022 3 3 Dimension drawings 3 3 1 EX310E...
Page 74: ...74 Pvd3665_Gb_Ex_August 2022 3 3 2 EX420E EX430E...
Page 75: ...75 Pvd3665_Gb_Ex_August 2022 3 3 3 EX620E EX630E...
Page 76: ...76 Pvd3665_Gb_Ex_August 2022 3 3 4 EX820E EX840E EX860E...
Page 77: ...77 Pvd3665_Gb_Ex_August 2022 3 3 5 EX310 C CCC...
Page 78: ...78 Pvd3665_Gb_Ex_August 2022 3 3 6 EX420 C EX430 C CCC...
Page 79: ...79 Pvd3665_Gb_Ex_August 2022 3 3 7 EX620 C EX630 C CCC...
Page 80: ...80 Pvd3665_Gb_Ex_August 2022 3 3 8 EX820 C EX820 C EX820 C CCC...
Page 81: ...81 Pvd3665_Gb_Ex_August 2022 3 3 9 EX310U...
Page 82: ...82 Pvd3665_Gb_Ex_August 2022 3 3 10 EX420U EX430U...
Page 83: ...83 Pvd3665_Gb_Ex_August 2022 3 3 11 EX620U EX630U...
Page 84: ...84 Pvd3665_Gb_Ex_August 2022 3 3 12 EX820U EX840U EX860U...
Page 93: ...93 Pvd3665_Gb_Ex_August 2022 3 8 5 Mains supply connection diagrams 3 8 5 1 EX310E...
Page 94: ...94 Pvd3665_Gb_Ex_August 2022 3 8 5 2 EX420E EX430E...
Page 95: ...95 Pvd3665_Gb_Ex_August 2022 3 8 5 3 EX620E EX630E...
Page 96: ...96 Pvd3665_Gb_Ex_August 2022 3 8 5 4 EX820E EX840E EX860E...
Page 97: ...97 Pvd3665_Gb_Ex_August 2022 3 8 5 5 EX310 C CCC...
Page 98: ...98 Pvd3665_Gb_Ex_August 2022 3 8 5 6 EX420 C EX430 C CCC...
Page 99: ...99 Pvd3665_Gb_Ex_August 2022 3 8 5 7 EX620 C EX630 C CCC...
Page 100: ...100 Pvd3665_Gb_Ex_August 2022 3 8 5 8 EX820 C EX840 C EX860 C CCC...
Page 101: ...101 Pvd3665_Gb_Ex_August 2022 3 8 5 9 EX310U...
Page 102: ...102 Pvd3665_Gb_Ex_August 2022 3 8 5 10 EX420U EX430U...
Page 103: ...103 Pvd3665_Gb_Ex_August 2022 3 8 5 11 EX620U EX630U...
Page 104: ...104 Pvd3665_Gb_Ex_August 2022 3 8 5 12 EX820U EX840U EX860U...