Basic Electrical and Electronics Engineering: Unit II: Electrical Machines
Equivalent Circuit and Phasor Diagram of Synchronous Motor
The equivalent circuit model for one armature phase of cylindrical rotor synchronous motor.
EQUIVALENT
CIRCUIT AND PHASOR DIAGRAM OF SYNCHRONOUS MOTOR
Equivalent
Circuit of a synchronous motor:
Figure
3.60 shows the equivalent circuit model for one armature phase of cylindrical
rotor synchronous motor.
It
is seen from figure, that the applied voltage V is the vector sum of reversed
back emf ie. -Eb and the impedance drop Ia Zs.
In other words, V = -Eb + IaZs. The angle δ between
the phasors V and Eb is called the load angle or power angle of the
synchronous motor.
Except
for very small machines, the armature resistance of a synchronous motor is
negligible as compared to its synchronous reactance. Hence the equivalent
circuit for the motor becomes as shown in figure 3.61.
From
the phasor diagram figure,
AB
= Eb sinδ and Eb
cosϕ
= AB/ Ia Xs
So
AB = Ia Xs cosϕ
Eb
sin δ = IaXs cos ϕ⇒
Ia cos ϕ = Eb sin δ/Xs
P
= VIa cos ϕ
P
= VEb sin δ/Xs
Pin
= 3EbV/ Xs sin δ for 3-phases
Since
stator copper loss has been neglected, Pin also represents the gross
mechanical power (Pin) developed by the motor.
Pm
= 3EbV/Xs sin δ
Gross
torque developed by the motor
T
= Pm/ωm
ωm
=2πN/60
T
= 9.55 Pm Nm/N
Basic Electrical and Electronics Engineering: Unit II: Electrical Machines : Tag: : - Equivalent Circuit and Phasor Diagram of Synchronous Motor
Basic Electrical and Electronics Engineering: Unit II: Electrical Machines
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