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

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2. Voltage Source Inverter Fed Induction Motor Drive<br />

range between this point and six-step mode is called overmodulation. This part of the<br />

modulation techniques is not so important in vector controlled drives methods for the<br />

sake of big distortion current and torque. For example, the overmodulation can be<br />

applied in drives working in open loop control mode to increase the value of inverter<br />

output voltage.<br />

The overmodulation has been widely discussed in the literature [16, 33, 55, 75, 89].<br />

Some of methods are proposed as extensions of the carrier based modulation and others<br />

as extensions of space vector modulation. In the carrier based methods overmodulation<br />

algorithm is realized by increasing reference voltage beyond the amplitude of the<br />

triangular carrier signal. In this case some switching cycles are omitted and each phase<br />

is clamped to one of the dc busses.<br />

The overmodulation region for space vector modulation is shown in Fig. 2.20. The<br />

maximum length of vector U c possible to realization in whole range of α angle is equal<br />

3<br />

3<br />

U dc<br />

. It is a radius of the circle inscribed of the hexagon. This value corresponds to<br />

the modulation index equal to 0.907 (see equation 2.26). To realize higher values a<br />

voltage overmodulation algorithm has to be applied. At the end of the overmodulation<br />

region is a six-step mode (at M = 1).<br />

U 3<br />

(010)<br />

U 2<br />

(110)<br />

Six-step mode<br />

M = 1<br />

U 4<br />

(011)<br />

U 0<br />

(000) U 1<br />

(100)<br />

U 7<br />

(111)<br />

(t 2<br />

/T s<br />

)U 2<br />

α<br />

(t 1<br />

/T s<br />

)U 1<br />

U c<br />

Overmodulation range<br />

0.907 < M < 1<br />

Linear range<br />

M ≤ 0.907<br />

U 5<br />

(001) U 6<br />

(101)<br />

Fig. 2.20. Definition of the overmodulation range<br />

32

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