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Direct Torque Control with Space Vector Modulation (DTC-SVM) of ...

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Voltage source PWM inverter for PMSM supply<br />

Zero Sequence Signal Time interval <strong>of</strong> zero vectors Remark<br />

SPWM<br />

ZSS =0<br />

for even sectors<br />

4<br />

t0<br />

= (1 − ( M cos θ )) / 2<br />

π<br />

for odd sectors<br />

4<br />

t0 = t07<br />

−(1 −( M cos θ )) / 2<br />

π<br />

and t7 = t07 − t0<br />

U<br />

DC<br />

/2 π<br />

M = = = 0.785<br />

2U<br />

DC 4<br />

π<br />

complicated calculation<br />

for time interval <strong>of</strong><br />

vectors<br />

THIPWM<br />

ZSS =sinusoidal signal<br />

<strong>with</strong> triple harmonic<br />

for even sectors<br />

4 1<br />

t0<br />

= (1 −( M cos θ) − cos 3 θ)) / 2<br />

π 6<br />

for odd sectors<br />

4 1<br />

t0 = t07<br />

−(1 −( M cos θ) − cos 3 θ)) / 2<br />

π 6<br />

and t7 = t07 − t0<br />

U<br />

DC<br />

/ 3 π<br />

M = = = 0.907<br />

2U<br />

DC 2 3<br />

π<br />

Increase the linearity <strong>of</strong><br />

inverter grater than 15%<br />

<strong>of</strong> SPWM<br />

SVPWM<br />

ZSS=triangle signal<br />

<strong>with</strong> triple harmonic<br />

0.906<br />

for all sectors<br />

M =<br />

t = t t t /2<br />

time interval<br />

7 07 0 07 t = t /2<br />

0 07 Simple calculation for<br />

k=0.5<br />

Table 3.1. Variants <strong>of</strong> three-phase space vector modulation techniques.<br />

a) b)<br />

c)<br />

the portioning<br />

factor <strong>of</strong> zero vectors<br />

Fig. 3.19 PWM techniques <strong>with</strong> various zero signal sequence shape: a) SPWM, b) THIPWM,<br />

c) SVPWM. The upper part <strong>of</strong> figure: phase voltage U<br />

AN<br />

(green), pole voltage U<br />

AO<br />

(blue),<br />

voltage between neutral points U<br />

NO<br />

(black). The lower part <strong>of</strong> figure shows the portioning<br />

factor <strong>of</strong> zero vectors for all PWM techniques.<br />

50

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