
10-16 Power Electronics and Motor Drives
Multiplying the two members of the second equation of system (10.62) by m and noting r
r
= m
2
r
r
, l
r
=
m
2
l
r
,
, x
s
= l
s
ω, x
r
= l
r
ω, X = Lω, I
−
= I
−
s
− I
−
°
r
, system (10.62) becomes
V r I jx I jX I
r
s
I jx I jX I
s s s s s
r
r r
= + +
′
+
′
=
° °
µ µ
µ µ
(10.63)
It leads to the classical equivalent single-phase circuit of the Figure 10.7 as to the corresponding time dia-
gram
of the Figure 10.8. One can notice that I
−
N
current, according to the rotor current change in the way of
displacement, as a similar form that i
–
m
given by (10.58). On other hand, one can remark that L
is dened by