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Application Note AN-1150 - International Rectifier

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as mentioned earlier, for the PFC converter, the most important criterion for<br />

basing the selection of the compensation component values is the voltage loop<br />

bandwidth.<br />

Fig10: Voltage Loop error amplifier compensation network<br />

The error amplifier transfer function is given by:<br />

gm<br />

⋅(<br />

1+<br />

sRgmCZ<br />

)<br />

H<br />

2<br />

( s ) =<br />

s( C + C + sR C C<br />

Z<br />

where g m is the transconductance of the voltage error amplifier. The<br />

compensation network adds a zero and a pole in the transfer function at:<br />

f<br />

f<br />

P0<br />

Z 0<br />

= π ⋅<br />

P<br />

1<br />

2 R<br />

=<br />

2π ⋅ R<br />

gm<br />

⋅ C<br />

gm<br />

Z<br />

1<br />

Cz ⋅Cp<br />

Cz + Cp<br />

The gain and phase of the error amplifier + compensation transfer function is<br />

illustrated in Fig.11.<br />

gm<br />

Z<br />

P<br />

)<br />

90<br />

60<br />

30<br />

0<br />

EA Gain<br />

EA Phase<br />

90<br />

60<br />

30<br />

0<br />

Gain (dB)<br />

-30<br />

-60<br />

-90<br />

-120<br />

-150<br />

-30<br />

-60<br />

-90<br />

-120<br />

-150<br />

Phase (deg)<br />

-180<br />

-180<br />

0.01 0.1 1 10 100 1000 10000 100000<br />

f (Hz)<br />

Fig.11: Error Amplifier + compensation transfer function characteristics<br />

www.irf.com <strong>AN</strong>-<strong>1150</strong><br />

22

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