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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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Review of <strong>the</strong> Canonical Equations<br />

6-2<br />

cies. <strong>The</strong> drift and <strong>in</strong>accuracy is m<strong>in</strong>imized or elim<strong>in</strong>ated by us<strong>in</strong>g negative feedback. <strong>The</strong><br />

op amp circuit configuration employs feedback to make <strong>the</strong> transfer equation of <strong>the</strong> circuit<br />

<strong>in</strong>dependent of <strong>the</strong> amplifier parameters (well almost), and while do<strong>in</strong>g this, <strong>the</strong> circuit<br />

transfer function is made dependent on external passive components. <strong>The</strong> external passive<br />

components can be purchased to meet almost any drift or accuracy specification;<br />

only <strong>the</strong> cost and size of <strong>the</strong> passive components limit <strong>the</strong>ir use.<br />

Once feedback is applied to <strong>the</strong> op amp it is possible for <strong>the</strong> op amp circuit to become<br />

unstable. Certa<strong>in</strong> amplifiers belong to a family called <strong>in</strong>ternally compensated op amps;<br />

<strong>the</strong>y conta<strong>in</strong> <strong>in</strong>ternal capacitors that are sometimes advertised as preclud<strong>in</strong>g <strong>in</strong>stabilities.<br />

Although <strong>in</strong>ternally compensated op amps should not oscillate when operated under specified<br />

conditions, many have relative stability problems that manifest <strong>the</strong>mselves as poor<br />

phase response, r<strong>in</strong>g<strong>in</strong>g, and overshoot. <strong>The</strong> only absolutely stable <strong>in</strong>ternally compensated<br />

op amp is <strong>the</strong> one ly<strong>in</strong>g on <strong>the</strong> workbench without power applied! All o<strong>the</strong>r <strong>in</strong>ternally<br />

compensated op amps oscillate under some external circuit conditions.<br />

Non<strong>in</strong>ternally compensated or externally compensated op amps are unstable without <strong>the</strong><br />

addition of external stabiliz<strong>in</strong>g components. This situation is a disadvantage <strong>in</strong> many<br />

cases because <strong>the</strong>y require additional components, but <strong>the</strong> lack of <strong>in</strong>ternal compensation<br />

enables <strong>the</strong> top-drawer circuit designer to squeeze <strong>the</strong> last drop of performance from <strong>the</strong><br />

op amp. You have two options: op amps <strong>in</strong>ternally compensated by <strong>the</strong> IC manufacturer,<br />

or op amps externally compensated by you. Compensation, except that done by <strong>the</strong> op<br />

amp manufacturer, must be done external to <strong>the</strong> IC. Surpris<strong>in</strong>gly enough, <strong>in</strong>ternally compensated<br />

op amps require external compensation for demand<strong>in</strong>g applications.<br />

Compensation is achieved by add<strong>in</strong>g external components that modify <strong>the</strong> circuit transfer<br />

function so that it becomes unconditionally stable. <strong>The</strong>re are several different methods<br />

of compensat<strong>in</strong>g an op amp, and as you might suspect, <strong>the</strong>re are pros and cons<br />

associated with each method of compensation. After <strong>the</strong> op amp circuit is compensated,<br />

it must be analyzed to determ<strong>in</strong>e <strong>the</strong> effects of compensation. <strong>The</strong> modifications that compensation<br />

have on <strong>the</strong> closed loop transfer function often determ<strong>in</strong>e which compensation<br />

scheme is most profitably employed.<br />

6.2 Review of <strong>the</strong> Canonical Equations<br />

A block diagram for a generalized feedback system is repeated <strong>in</strong> Figure 6–1. This simple<br />

block diagram is sufficient to determ<strong>in</strong>e <strong>the</strong> stability of any system.<br />

VIN<br />

Figure 6–1. Feedback System Block Diagram<br />

+<br />

Σ<br />

–<br />

E<br />

A<br />

β<br />

VOUT

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