370
Consequently, the generator modeling of the flying train has been conducted to
power the flying train consistently by using the induction synchronous model of
energy transformation principles based on a d–q referencing framework as below:
V
Ri L
di
dt
L i
q
q
q
q
d d
= −
−
−
+
s
m
ω
ωλ
(17.16)
V
Ri L
di
dt
L i
d
d
d
q
q q
= −
−
+
s
ω
(17.17)
in which electronic torque is indicated by
T
i
L L i i
q
d
q d q
e =
+
−
(
)




1 5
. ρ λ
(17.18)
In the equation, q axis inductance is represented by L q , while L d indicates d axis
inductance. i q is the current from the q axis while i d current from d axis. V q represents voltage from the q axis, and the energy from the d axis is indicated by V d . ω r
represents the velocity of the angular rotor, λ the induced flux amplitude, and p the
number of poles. Thus, the squirrel cage induction generator can also be used in
modeling the generator using the equation below:
V
V
V
V
R pL
p L
R pL
p L
pL
L
R
q
d
q
d
s
s
r
r
s
s
m
s
s
m
m
rm














=
+
+
−
0
0
0
0
ω
r r
r
r r
r m
m
r r
r
r
s
s
r
r
+
−
+


















pL
L
L
p L
L
R pL
i
i
i
i
q
d
q
d
ω
ω
ω
 







(17.19)
Beginning from the stator position
λ
λ
d
d
d
q
q
d
d
d
L i
L i
L i
L i
L L L
L L L
V
Ri
s
s s
m r
s
s s
m r
s
l s
m
r
l r
m
s
s s
=
+
=
+
= +
= +
=
+
d d
dt
V
Ri
d
dt
d
q
q
q
λ
λ
s
s
s s
s
=
+
(17.20)
Beginning from the rotor position
17 Rapid Connectivity Within the Urban and Rural Area
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