Direct Torque Control with Space Vector Modulation (DTC-SVM) of ...
Direct Torque Control with Space Vector Modulation (DTC-SVM) of ...
Direct Torque Control with Space Vector Modulation (DTC-SVM) of ...
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Sensorless Speed <strong>Direct</strong> <strong>Torque</strong> <strong>Control</strong> <strong>with</strong> <strong>Space</strong> <strong>Vector</strong> <strong>Modulation</strong> (<strong>DTC</strong>-<strong>SVM</strong>)<br />
I<br />
=∆ I sin 2γ<br />
(6.4)<br />
sβ<br />
s m<br />
where I<br />
s<br />
is DC component in Is<br />
α<br />
and<br />
∆ Is<br />
amplitude <strong>of</strong> fluctuated component.<br />
The current components in α,<br />
β can be modeled as an average value <strong>of</strong> I<br />
s<br />
plus some<br />
<strong>of</strong>fset value<br />
∆<br />
Is<br />
, as a function <strong>of</strong> the mechanical position γ m<br />
. Fig. 6.4 shows the<br />
current components given in Eq. (6.1-2), which are function <strong>of</strong> the phase angle 2γ m<br />
.<br />
Solving those Eqs. (6.1 and 6.2) in respect to mechanical rotor position, two domains <strong>of</strong><br />
mechanical rotor position can be obtained as:<br />
Isβ<br />
γ<br />
m1<br />
=<br />
(6.5)<br />
2( I − I )<br />
sα<br />
s<br />
= Isβ<br />
γ<br />
m2<br />
2( I − I )<br />
+ π (6.6)<br />
sα<br />
s<br />
The estimated rotor positions for other combination <strong>of</strong> sign( I s<br />
)<br />
summarized in Table 6.7.<br />
+ and sign( I s<br />
)<br />
− are<br />
15π<br />
π<br />
−<br />
8 8<br />
7π<br />
9π<br />
−<br />
8 8<br />
π 3π<br />
−<br />
8 8<br />
9π<br />
11π<br />
−<br />
8 8<br />
3π<br />
5π<br />
−<br />
8 8<br />
11π<br />
13π<br />
−<br />
8 8<br />
5π<br />
7π<br />
−<br />
8 8<br />
13π<br />
15π<br />
−<br />
8 8<br />
I sα − I s + I sβ<br />
+ +<br />
+ −<br />
−<br />
−<br />
−<br />
I sα<br />
− I s − I sβ<br />
γ m<br />
+<br />
I sβ<br />
2(<br />
I sα<br />
− I s )<br />
I sβ<br />
+ π<br />
2(<br />
I sα<br />
− I s )<br />
I sα<br />
+ I s π<br />
− +<br />
2I<br />
sβ<br />
4<br />
I sα<br />
+ I s 5π<br />
− +<br />
2I<br />
sβ<br />
4<br />
I sβ<br />
π<br />
+<br />
2( I s α − I s ) 2<br />
I sβ<br />
3π<br />
+<br />
2( I s α − I s ) 2<br />
I sα<br />
+ I s 3π<br />
− +<br />
2I<br />
sβ<br />
4<br />
I sα<br />
+ I s 7π<br />
− +<br />
2I<br />
sβ<br />
4<br />
Table 6.7. Mechanical rotor position calculations.<br />
Long pulsewise voltage test<br />
This test help us to choose the proper estimated value <strong>of</strong> mechanical rotor position from<br />
two values calculated during the short pulse wise voltage test.<br />
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