
B–65142E/04
4. SELECTING A MOTORDESCRIPTIONS FOR THE α series
53
Back EMF (electromotive force) constant: Kv (Vrms·sec)
((Vrms·sec/rad))
The back EMF constant indicates the strength of the permanent
magnetic field. It is the value of the generated voltage at a specified
speed when the rotor is rotated mechanically. 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
–1
/rad) = (9.55 Vrms/min
–1
)
The back EMF constant is indicated as the RMS voltage per phase, so
multiple by 3
Ǹ
to obtain the actual terminal voltage.
Kt (kgf @ cmńArms) + 30.6Kv (Vrms @ sec ńrad)
SI unit
Kt (NmńArms) + 3Kv (Vrms @ sec ńrad)
For this reason, when back EMF constant drops lower than the
demagnetization of the magnet, the torque constant also drops by the
same ratio.
Mechanical time constant : tm (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.
tm +
Jm @ Ra
Kt @ Kv
Jm : Rotor inertia (kgf⋅m
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.
Static friction : Tf (kgf⋅cm) (Nm)
This is the no–load torque required just to rotate the rotor.