SC2441
POWER MANAGEMENT
Applications Information (Cont.)
In Figure 17, Co3 and Resr3 are the capacitance and the
ESR of the output capacitor, gm3 is the error amplifier
transconductance and k3 is the current loop gain. If one
specifies the loop crossover frequency fc, the
compensation component values are readily calculated
as
Bode plots of the loop response are shown in Figure 18.
C4
=
h3gm3k
3
(1
−
D3
)
Ro3
2
| 1−
fc
fz1
|
1
2πfc
Resr 3
,
Resr3 + 0.5Ro3
and
R4
=
1
C4
Co3 (Resr3
+
Ro3
2
)
with
C5
=
C4
2R esr 3
Ro3
fz1
=
(1− D3 )2Ro3
2πL3
.
Figure 18. Typical loop transfer function Bode plot of
the Boost converter.
2005 Semtech Corp.
26
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