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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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8.6 Stability Analysis<br />

<strong>The</strong> stability equation is repeated as Equation 8–18.<br />

A V TO<br />

V TI<br />

<br />

Z<br />

ZF1 ZB ZFZG Current-Feedback <strong>Op</strong> Amp Analysis<br />

Stability Analysis<br />

(8–18)<br />

Compar<strong>in</strong>g Equations 8–9 and 8–15 to Equation 8–18 reveals that <strong>the</strong> <strong>in</strong>vert<strong>in</strong>g and non<strong>in</strong>vert<strong>in</strong>g<br />

CFA op amps have identical stability equations. This is <strong>the</strong> expected result because<br />

stability of any feedback circuit is a function of <strong>the</strong> loop ga<strong>in</strong>, and <strong>the</strong> <strong>in</strong>put signals<br />

have no affect on stability. <strong>The</strong> two op amp parameters affect<strong>in</strong>g stability are <strong>the</strong> transimpedance,<br />

Z, and <strong>the</strong> <strong>in</strong>put buffer’s output impedance, Z B. <strong>The</strong> external components affect<strong>in</strong>g<br />

stability are Z G and Z F. <strong>The</strong> designer controls <strong>the</strong> external impedance, although<br />

stray capacitance that is a part of <strong>the</strong> external impedance sometimes seems to be uncontrollable.<br />

Stray capacitance is <strong>the</strong> primary cause of r<strong>in</strong>g<strong>in</strong>g and overshoot <strong>in</strong> CFAs. Z and<br />

Z B are CFA op amp parameters that can’t be controlled by <strong>the</strong> circuit designer, so he has<br />

to live with <strong>the</strong>m.<br />

Prior to determ<strong>in</strong><strong>in</strong>g stability with a Bode plot, we take <strong>the</strong> log of Equation 8–18, and plot<br />

<strong>the</strong> logs (Equations 8–19 and 8–20) <strong>in</strong> Figure 8–6.<br />

20 LOG |A| 20 LOG |Z| 20 LOGZ F1 Z B<br />

Z F Z B<br />

TANGENT 1 (A)<br />

<br />

(8–19)<br />

(8–20)<br />

This enables <strong>the</strong> designer to add and subtract components of <strong>the</strong> stability equation graphically.<br />

AMPLITUDE (dB Ω )<br />

PHASE<br />

(DEGREES)<br />

120<br />

61.1<br />

58.9<br />

0<br />

–60<br />

–120<br />

–180<br />

Figure 8–6. Bode Plot of Stability Equation<br />

1/τ1 1/τ2<br />

ϕM = 60°<br />

20LOGIZI<br />

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

Composite Curve<br />

LOG(f)<br />

8-7

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