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"Chapter 1 - The Op Amp's Place in the World" - HTL Wien 10

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Degrees Phase Shift 20 Log (Aβ)<br />

<strong>10</strong>0 dB<br />

0dB<br />

– 45°<br />

– 135°<br />

– 155°<br />

W = τ1 W = τ2<br />

Dom<strong>in</strong>ant-Pole Compensation<br />

0-dB Frequency<br />

Log F<br />

Figure 7–<strong>10</strong>. Possible Bode Plot of <strong>the</strong> <strong>Op</strong> Amp Described <strong>in</strong> Equation 7–7<br />

Prior to compensation, <strong>the</strong> Bode plot of an uncompensated op amp looks like that shown<br />

<strong>in</strong> Figure 7–11. Notice that <strong>the</strong> break po<strong>in</strong>ts are located close toge<strong>the</strong>r thus accumulat<strong>in</strong>g<br />

about 180° of phase shift before <strong>the</strong> 0 dB crossover po<strong>in</strong>t; <strong>the</strong> op amp is not usable and<br />

probably unstable. Dom<strong>in</strong>ant pole compensation is often used to stabilize <strong>the</strong>se op amps.<br />

If a dom<strong>in</strong>ant pole, <strong>in</strong> this case ω D, is properly placed it rolls off <strong>the</strong> ga<strong>in</strong> so that τ 1<br />

<strong>in</strong>troduces 45 phase at <strong>the</strong> 0-dB crossover po<strong>in</strong>t. After <strong>the</strong> dom<strong>in</strong>ant pole is <strong>in</strong>troduced<br />

<strong>the</strong> op amp is stable with 45° phase marg<strong>in</strong>, but <strong>the</strong> op amp ga<strong>in</strong> is drastically reduced<br />

for frequencies higher than ω D. This procedure works well for <strong>in</strong>ternally compensated op<br />

amps, but is seldom used for externally compensated op amps because <strong>in</strong>expensive discrete<br />

capacitors are readily available.<br />

Dom<strong>in</strong>ant Pole<br />

WD<br />

Figure 7–11.Dom<strong>in</strong>ant-Pole Compensation Plot<br />

20 Log (Aβ )<br />

dB<br />

0dB Log(f)<br />

Assum<strong>in</strong>g that Z O

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