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

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Z F <br />

A <br />

R F<br />

1 R F C F s<br />

Z1 R F C F s<br />

R F1 R B<br />

R FR G1 R B R F R G C F s<br />

Compensation of CF and CG<br />

Current-Feedback <strong>Op</strong> Amp Analysis<br />

(8–31)<br />

(8–32)<br />

This loop ga<strong>in</strong> transfer function conta<strong>in</strong>s a pole and zero, thus, depend<strong>in</strong>g on <strong>the</strong> pole/zero<br />

placement, oscillation can result. <strong>The</strong> Bode plot for this case is shown <strong>in</strong> Figure 8–9. <strong>The</strong><br />

orig<strong>in</strong>al and composite curves cross <strong>the</strong> 0-dB axis with a slope of –40 dB/decade, so ei<strong>the</strong>r<br />

curve can <strong>in</strong>dicate <strong>in</strong>stability. <strong>The</strong> composite curve crosses <strong>the</strong> 0-dB axis at a higher frequency<br />

than <strong>the</strong> orig<strong>in</strong>al curve, hence <strong>the</strong> stray capacitance has added more phase shift<br />

to <strong>the</strong> system. <strong>The</strong> composite curve is surely less stable than <strong>the</strong> orig<strong>in</strong>al curve. Add<strong>in</strong>g<br />

capacitance to <strong>the</strong> <strong>in</strong>vert<strong>in</strong>g <strong>in</strong>put node or across <strong>the</strong> feedback resistor usually results <strong>in</strong><br />

<strong>in</strong>stability. R B largely <strong>in</strong>fluences <strong>the</strong> location of <strong>the</strong> pole <strong>in</strong>troduced by C F, thus here is<br />

ano<strong>the</strong>r case where stray capacitance leads to <strong>in</strong>stability.<br />

AMPLITUDE (dB Ω )<br />

Figure 8–9. Bode Plot with C F<br />

0<br />

fZ<br />

20LOGIZI – 20LOGIZF(1 + ZB/ZFIIZG)I<br />

fP<br />

POLE/ZERO Curve<br />

Composite Curve<br />

LOG(f)<br />

Figure 8–8 shows that C F = 2 pF adds about 4 dB of peak<strong>in</strong>g to <strong>the</strong> frequency response<br />

plot. <strong>The</strong> bandwidth <strong>in</strong>creases about <strong>10</strong> MHz because of <strong>the</strong> peak<strong>in</strong>g. C F and C G are <strong>the</strong><br />

major causes of overshoot, r<strong>in</strong>g<strong>in</strong>g, and oscillation <strong>in</strong> CFAs, and <strong>the</strong> circuit board layout<br />

must be carefully done to elim<strong>in</strong>ate <strong>the</strong>se stray capacitances.<br />

8.<strong>10</strong> Compensation of C F and C G<br />

When C F and C G both are present <strong>in</strong> <strong>the</strong> circuit <strong>the</strong>y may be adjusted to cancel each o<strong>the</strong>r<br />

out. <strong>The</strong> stability equation for a circuit with C F and C G is Equation 8–33.<br />

8-13

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