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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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Active Element (<strong>Op</strong> Amp) Impact on <strong>the</strong> Oscillator<br />

15-6<br />

Ga<strong>in</strong> — dB<br />

Phase — °<br />

ACL<br />

ACL<br />

ÉÉÉÉÉÉÉÉÉ<br />

ÉÉÉÉÉÉÉÉÉ<br />

0°<br />

–45°<br />

–90°<br />

M<strong>in</strong>imum Desired<br />

Range of fosc<br />

ÉÉÉÉÉÉÉÉÉ<br />

Figure 15–3. <strong>Op</strong> Amp Frequency Response<br />

0<br />

0.1 fC<br />

Frequency — Hz<br />

–20 dB/<br />

Decade<br />

fC<br />

45°/<br />

Decade<br />

Most op amps are compensated and may have more than <strong>the</strong> 45 of phase shift at ω 3dB.<br />

<strong>The</strong> op amp should <strong>the</strong>refore be chosen with a ga<strong>in</strong> bandwidth that is at least one decade<br />

above <strong>the</strong> oscillation frequency, as shown by <strong>the</strong> shaded area of Figure 15–3. <strong>The</strong> <strong>Wien</strong><br />

bridge requires a ga<strong>in</strong> bandwidth greater than 43ω OSC to ma<strong>in</strong>ta<strong>in</strong> <strong>the</strong> ga<strong>in</strong> and frequency<br />

with<strong>in</strong> <strong>10</strong>% of <strong>the</strong> ideal values [2]. Figure 15–4 compares <strong>the</strong> output distortion versus frequency<br />

of an LM328, a TLV247x, and a TLC071 op amp, which have bandwidths of 0.4<br />

MHz and 2.8 MHz, and <strong>10</strong> MHz, respectively, <strong>in</strong> a <strong>Wien</strong> bridge oscillator with nonl<strong>in</strong>ear<br />

feedback (see Section 15.7.1 for <strong>the</strong> circuit and transfer function) <strong>The</strong> oscillation frequency<br />

ranged from 16 Hz to 160 kHz. <strong>The</strong> graph illustrates <strong>the</strong> importance of choos<strong>in</strong>g <strong>the</strong><br />

correct op smp for <strong>the</strong> application. <strong>The</strong> LM328 achieved a maximum oscillation of 72 kHz<br />

and was attenuated more than 75%, while <strong>the</strong> TLV247x achieved 125 kHz with 18% attenuation.<br />

<strong>The</strong> wide bandwidth of <strong>the</strong> TLC071 provided a 138 kHz oscillation frequency with<br />

a mere 2% attenuation. <strong>The</strong> op amp must be chosen with <strong>the</strong> proper bandwidth or <strong>the</strong> output<br />

may oscillate at a frequency well below <strong>the</strong> design specification.<br />

<strong>10</strong> fC

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