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

cycles the switching sequence is deterministic. In RPWM methods the switching<br />

frequency or the switching sequence change randomly.<br />

One of the proposed random modulation techniques is a method with randomly<br />

varied lengths of coincident switching and sampling time of the modulator. This method<br />

was named RPWM 1. The sampling and switching cycles in DEPWM with RPWM 1 is<br />

comparable shown in Fig. 2.23. The reference voltage vectors U c , which are calculated<br />

in one sampling time T s and realized in the next switching time T sw are shown. In drive<br />

systems the controller mostly operates in synchronism with modulator and in RPWM 1<br />

arises problems in the control system, when it works with variable sampling frequency.<br />

An additional control algorithm with variable sampling frequency is difficult tin a<br />

digital implementation.<br />

a)<br />

(1)<br />

U c<br />

(2)<br />

U c<br />

(3)<br />

U c<br />

(K)<br />

U c<br />

( n−1)<br />

U c<br />

(n)<br />

U c<br />

( n+1)<br />

U c<br />

sampling cycles 1 2 3 ... n-1 n ...<br />

switching cycles 1 2 3 ... n-1 n ...<br />

T<br />

s<br />

= T sw<br />

b)<br />

(1)<br />

U c<br />

(2)<br />

U c<br />

(3)<br />

U c<br />

(K)<br />

U c<br />

( n−1)<br />

U c<br />

(n)<br />

U c<br />

( n+1)<br />

U c<br />

sampling cycles 1 2 3 ... n-1 n<br />

switching cycles 1 2 3 ... n-1 n ...<br />

T<br />

s<br />

= T sw<br />

...<br />

Fig. 2.23. Sampling and switching cycles a) DEPWM, b) RPWM 1<br />

For elimination of these disadvantages random modulation techniques were<br />

proposed, which operate with a fixed switching and sampling frequency. These methods<br />

randomly change switching sequence in the interval. Three of these methods are shown<br />

in Fig. 2.24 [6].<br />

First of them (Fig. 2.24a) is random lead-lag modulation (RLL). In this method pulse<br />

position is either commencing at the beginning of the switching interval (leading-edge<br />

36

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