Space Vector Modulated – Direct Torque Controlled (DTC – SVM ...

2. Voltage Source Inverter Fed Induction Motor Drive
The modulation index m is defined as:
U
m
m = (2.23)
U
m(t)
where:
U
m
- peak value of the modulating wave,
U
m(t)
- peak value of the carrier wave.
The modulation index m can be varied between 0 and 1 to give a linear relation
between the reference and output wave. At m=1, the maximum value of fundamental
U
dc
peak voltage is , which is 78.55% of the peak voltage of the square wave (2.21).
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The maximum value in the linear range can be increased to 90.7% of that of the
square wave by inserting the appropriate value of a triple harmonics to the modulating
wave. It is shown in Fig. 2.10, which presents the whole range characteristic of the
modulation methods [67]. This characteristic include also the overmodulation (OM)
region, which is widely described in section 2.4.5.
π U
2 U
A
dc
⋅100
100
[%]
90.7
78.5
SVPWM
or SPWM with ZSS
OM
Six step
operation
SPWM
m
1 1.155 3.24 M
0.785 0.907 1
Fig. 2.10. Output voltage of VSI versus modulation index for different PWM techniques
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