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

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

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Internal Compensation<br />

7-4<br />

Damp<strong>in</strong>g Ratio,<br />

1<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

Percent Maximum Overshoot<br />

Phase Marg<strong>in</strong>, φM<br />

0<br />

0 <strong>10</strong> 20 30 40 50 60<br />

70 80<br />

Figure 7–3. Phase Marg<strong>in</strong> and Percent Overshoot Versus Damp<strong>in</strong>g Ratio<br />

Why does <strong>the</strong> load<strong>in</strong>g capacitance make <strong>the</strong> op amp unstable? Look closely at <strong>the</strong> ga<strong>in</strong>/<br />

phase response between 1 MHz and 9 MHz, and observe that <strong>the</strong> ga<strong>in</strong> curve changes<br />

slope drastically while <strong>the</strong> rate of phase change approaches 120°/decade. <strong>The</strong> radical<br />

ga<strong>in</strong>/phase slope change proves that several poles are located <strong>in</strong> this area. <strong>The</strong> load<strong>in</strong>g<br />

capacitance works with <strong>the</strong> op amp output impedance to form ano<strong>the</strong>r pole, and <strong>the</strong> new<br />

pole reacts with <strong>the</strong> <strong>in</strong>ternal op amp poles. As <strong>the</strong> load<strong>in</strong>g capacitor value is <strong>in</strong>creased,<br />

its pole migrates down <strong>in</strong> frequency, caus<strong>in</strong>g more phase shift at <strong>the</strong> 0-dB crossover frequency.<br />

<strong>The</strong> proof of this is given <strong>in</strong> <strong>the</strong> TL03X data sheet where plots of r<strong>in</strong>g<strong>in</strong>g and oscillation<br />

versus load<strong>in</strong>g capacitance are shown.<br />

Figure 7–4 shows similar plots for <strong>the</strong> TL07X, which is <strong>the</strong> newer family of op amps. Notice<br />

that <strong>the</strong> phase shift is approximately <strong>10</strong>0 when <strong>the</strong> ga<strong>in</strong> crosses <strong>the</strong> 0-dB axis. This yields<br />

a phase marg<strong>in</strong> of 80, which is close to unconditionally stable. <strong>The</strong> slope of <strong>the</strong> phase<br />

curve changes to 180/decade about one decade from <strong>the</strong> 0-dB crossover po<strong>in</strong>t. <strong>The</strong> radical<br />

slope change causes suspicion about <strong>the</strong> 90° phase marg<strong>in</strong>, fur<strong>the</strong>rmore <strong>the</strong> ga<strong>in</strong><br />

curve must be chang<strong>in</strong>g radically when <strong>the</strong> phase is chang<strong>in</strong>g radically. <strong>The</strong> ga<strong>in</strong>/phase<br />

plot may not be totally false, but it sure is overly optimistic.

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