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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<strong>Direct</strong> <strong>Torque</strong> <strong>Control</strong> <strong>with</strong> <strong>Space</strong> <strong>Vector</strong> <strong>Modulation</strong><br />
Chapter 5<br />
DIRECT TORQUE CONTROL WITH SPACE VECTOR MODULATION<br />
(<strong>DTC</strong>-<strong>SVM</strong>)<br />
5.1 Introduction<br />
The <strong>DTC</strong>-<strong>SVM</strong> greatly improves torque and flux performance by:<br />
• Achieved fixed switching frequency,<br />
• Reduced torque and flux ripples.<br />
The main idea <strong>of</strong> <strong>DTC</strong>-<strong>SVM</strong> is based on analyze <strong>of</strong> the torque equation<br />
M<br />
Assuming that the Ld = Lq = Ls<br />
e<br />
3 Ψ sin<br />
2 s<br />
ΨPM<br />
δΨ Ψs<br />
( Lq<br />
−Ld)sin2δ<br />
Ψ<br />
= pb[ − ]<br />
(5.1)<br />
2 L<br />
2L L<br />
d d q<br />
M<br />
e<br />
3 Ψs<br />
ΨPM<br />
sinδ = pb[ Ψ<br />
]<br />
(5.2)<br />
2 L<br />
From equation (5.2) we can see that for constant stator flux amplitude<br />
by permanent magnet<br />
Ψ<br />
PM<br />
s<br />
Ψ<br />
s<br />
and flux produced<br />
, the electromagnetic torque can be changed by control <strong>of</strong> the<br />
torque angle δ Ψ<br />
. This is the angle between the stator and rotor flux linkage, when the stator<br />
resistance is neglected. The torque angle, in turn, can be changed by changing position <strong>of</strong> the<br />
stator flux vector θ Ψ s<br />
in respect to PM vector using the actual voltage vector supplied by<br />
PWM inverter.<br />
In the steady state, δ Ψ<br />
is constant and corresponds to a load torque, whereas stator and rotor<br />
flux rotate at synchronous speed. In transient operation, δ Ψ<br />
varies and the stator and rotor<br />
flux rotate at different speeds (Fig. 5.1).<br />
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