33 - PVD 3663_GB_NX_March 2017.Docx
3.2.6. Time constants of the motor
3.2.6.1. 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 NX620EAR
L
ph_ph
= 19.2 mH or 19.2.10
-3
H
R
ph_ph
at 25°C = 2.24 Ohm
elec
= 19.2.10
-3
/2.24=
8.6 ms
An overall summary of motor time constants is given a little further.
3.2.6.2. 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 NX620EAR
R
ph_ph
at 25°C = 2.24 Ohm
J = 98.10
-5
kgm²
Ke
ph_ph
[V
rms
/
1000rpm
] = 95.7 [V
rms
/
1000rpm
]
Ke
ph_ph
[V
rms/rad/s
] = 95.7/(2*
*1000/60) = 0.9139 [V
rms/rad/s
]
mech
=0.5*2.24*98.10
-5
/(0.9139²) =
1.2 ms
Summary of Contents for NX Series
Page 1: ...1 PVD 3663_GB_NX_March 2017 Docx Servomotors NX Series Technical Manual PVD 3663...
Page 3: ...3 PVD 3663_GB_NX_March 2017 Docx Compliance with UL standards...
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