
B-65262EN/03 SPECIFICATIONS FOR THE αiS/αi SERIES 3.SELECTING A MOTOR
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Torque constant : K
t
[N⋅
⋅⋅
⋅m/Arms] [kgf⋅
⋅⋅
⋅cm/Arms]
This is known as torque sensitivity and represents the torque
developed per ampere of phase current. This value is a motor-specific
constant, and is calculated by the flux distribution and location of
coils in the armature, and the dimensions of the motor.
The torque constant decreases by 0.11% for the αis series or by
0.19% for the αi series according to the temperature coefficient of the
magnet every time the temperature of the magnet increases by 1°C
after it exceeds 20°C.
Back EMF (electromotive force) constant: Kv [Vrms⋅
⋅⋅
⋅sec] ([Vrms⋅
⋅⋅
⋅sec/rad])
This indicates the strength of a permanent magnet and is a motor-
specific constant. This is the voltage generated when the rotor is
externally and mechanically rotated.
Back EMF is a motor-specific constant, and is also calculated by the
flux distribution and location of coils in the armature, and the
dimensions of the motor. Expressed in [min
-1
] units, back EMF has
the dimensions of [Vrms/min
-1
]. The relationship can be given as:
[Vrms⋅sec/rad] = [ 9.55×Vrms/min
-1
] (9.55=60/2/π)
The back EMF constant is indicated as the RMS voltage per phase, so
multiple by
3 to obtain the actual terminal voltage.
The relationship between the torque constant (K
t
) and back EMF
constant (K
v
) can also be given as:
SI unit
]sec/[3]/[ radVrms
v
KArmsmN
t
K ⋅=⋅
Gravitational system of units
]sec/[6.30]/[ radVrms
v
KArmscmkgf
t
K ⋅=⋅
For this reason, when back EMF constant (K
v
) drops lower than the
demagnetization of the magnet, the torque constant (K
t
) also drops by
the same ratio.
Winding resistance : R [Ω
ΩΩ
Ω]
Resistance per phase of the motor
Mechanical time constant : t
m
[sec]
This is a function of the initial rate of rise in velocity when a step
voltage is applied. It is calculated from the following relationship.
KvKt
RaJm
tm
⋅
⋅
=
Jm : Rotor inertia [kgm
2
]
Ra : Resistance of the armature [Ω]
Thermal time constant : t
t
[min]
This is a function of the initial rate of rise of winding temperature at
rated current. It is defined as the time required to attain 63.2 percent
of the final temperature rise.