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

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Comparison of Compensation Schemes<br />

7-20<br />

V TH V IN<br />

R 1<br />

Cs<br />

R R G 1<br />

Cs<br />

RF VOUT VTH R<br />

TH<br />

V OUT<br />

V IN<br />

<br />

R <br />

1<br />

Cs<br />

R R<br />

G<br />

1<br />

Cs<br />

R TH <br />

RF R R<br />

G 1<br />

Cs RR <br />

G 1<br />

Cs<br />

R R G 1<br />

Cs R R<br />

G<br />

1<br />

Cs<br />

R F<br />

R G<br />

(7–24)<br />

(7–25)<br />

(7–26)<br />

Equation 7–26 is <strong>in</strong>tuitively obvious because <strong>the</strong> RC network is placed across a virtual<br />

ground. As long as <strong>the</strong> loop ga<strong>in</strong>, Aβ, is large, <strong>the</strong> feedback will null out <strong>the</strong> closed-loop<br />

effect of RC, and <strong>the</strong> circuit will function as if it were not <strong>the</strong>re. <strong>The</strong> closed-loop log plot<br />

of <strong>the</strong> lead-lag-compensated op amp is given <strong>in</strong> Figure 7–22. Notice that <strong>the</strong> pole and zero<br />

result<strong>in</strong>g from <strong>the</strong> compensation occur and are gone before <strong>the</strong> first amplifier poles come<br />

on <strong>the</strong> scene. This prevents <strong>in</strong>teraction, but it is not required for stability.<br />

Amplitude<br />

20 Log A<br />

20 Log<br />

1/RC<br />

1/(RG + R)C<br />

Figure 7–22. Closed-Loop Plot of Lead-Lag Compensated <strong>Op</strong> Amp<br />

RF<br />

RG<br />

7.9 Comparison of Compensation Schemes<br />

1/τ1<br />

1/τ2<br />

Log(f)<br />

Internally compensated op amps can, and often do, oscillate under some circuit conditions.<br />

Internally compensated op amps need an external pole to get <strong>the</strong> oscillation or r<strong>in</strong>g<strong>in</strong>g<br />

started, and circuit stray capacitances often supply <strong>the</strong> phase shift required for <strong>in</strong>stability.<br />

Loads, such as cables, often cause <strong>in</strong>ternally compensated op amps to r<strong>in</strong>g severely.

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