208
ω r represents the velocity of the angular rotor, λ the induced flux amplitude, and
p the number of poles.
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
 







(11.14)
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
=
+
(11.15)
Beginning from the rotor position
λ
λ
λ ω λ
d
d
d
q
q
q
d
d
d
q
q
L i
L i
L i
L i
V
Ri
d
dt
V
R
r
r r
m s
r
r r
m s
r
r r
r
r
r
r
r
=
+
=
+
=
+
+
= i i
d
dt
q
q
d
r
r
r
r
+
−
λ ω λ
(11.16)
To determine the air flux gaps
λ
λ
d
d
d
q
q
q
L i i
L i i
m
m
s
r
r
m
r
s
=
+
(
)
=
+
(
)
(11.17)
In the above equation, R s , R r , ω r , i d , i q , V d , V q , λ d , λ q , L m , L ls , and L lr indicate the
resistance from wind by the stator and the fluxes. Energy conversion diagramimplemented inverter is often used in the preparation of the wind energy output.
This is done through the calculation in Simulink-MATLAB.
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