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categoryالهندسة الكهربائية
schoolبكالوريوس
event_available2026-07-15
السؤال
Transcribed Image Text:
A round rotor electrical machine having 2 poles (2p-2) and 3 phases with a regular air-gap has
distributed windings and air gap MMF is sinusoidal. Stator windings (a,b, and c) are located at stator
with a 120° geometric difference. Self inductance of all windings are L., mutual inductances between
Phase a, b and c windings are L L and L. There is only one winding on rotor with a constant self-
inductance of Le. Mutual inductances between rotor winding and a,b and c windings are as follows.
e
Laf = Lcose
Lay L. cos(0-120°)
Lef = L. cos(0-240°)
Phase c axis
Rotor winding axis
8-at+8,
Phase a axis
Phase b axis
e is the angle difference between the phase a winding and rotor winding. (0=x+6)
Winding currents are i,(t)=cos(t), is(t)=l,cos(xt-120") ve i(t)=l,cos(est-240°) and ink. Rotor is set
free.
Magnetic circuit is accepted to have no-loss. All winding resistances are neglected.
Write Inductance matrix [L]
Obtain Flux Linkage equation [2]
Write voltage equations [va(t), va(t), v.(t), vi(t)]
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