119
( )
+
+
-
-
=
-
1
3
2
sin
3
2
cos
1
3
2
sin
3
2
cos
1
sin
cos
1
p
K
(5)
In the above equations, f can represent voltage, current, flux linkage, or electric charge.
is
the angle between the a-axis and the q-axis, as show in the diagram of Figure 77.
Figure 77 Relationship between abc reference frame and arbitrary qd0 reference
frame. Figure 6.4 in [38].
The q-d axis is a two winding equivalent model which rotates at an angular frequency of
.
The rotor rotates at an angular frequency of
r
. The angle
can be found by integrating the
angular frequency
over time, as follows.
( )
( )
( )
+
=
t
dt
t
t
0
0
(6)
where
(
0) is the value of the angle at the beginning of the integration. Similarly, the rotor
angle can be found as follows.
( )
( )
+
=
t
r
r
r
dt
t
0
0
(7)
Summary :
119 ( ) + + - - = - 1 3 2 sin 3 2 cos 1 3 2 sin 3 2 cos 1 sin cos 1 p K (5) In the above equations, f can represent voltage, current, flux linkage, or electric charge.
Tags :
angle,angular,cos,figure,frequency,sin,frame,between,found,follows,rotor,reference,rotates