SC4624A
POWER MANAGEMENT
OAppelriactaiotinon Information (Cont.)
where
ωI
=
R7
1
⋅ (C1
+ C2 )
ωZ1
=
1
R1 ⋅ C2
ωZ2
=
(R 7
1
+ R8 ) ⋅ C8
ωP1
=
C1 + C2
R1 ⋅ C1 ⋅ C2
ωP2
=
1
R 8 ⋅ C98
The design guidelines for the SC4624A applications are
as follows:
1.
Set
the
loop
gain
crossover
corner
frequency
w
C
for
given
switching
corner
frequency
w
S
=
2pfs,
2. Place an integrator at the origin to increase DC and
low frequency gains.
3.
Select
w
Z1
and
w
Z2
such
that
they
are
placed
near
w
O
to damp the peaking and the loop gain has a -20dB/
dec rate to go across the 0dB line for obtaining a wide
bandwidth.
4. Cancel the zero from C4’s ESR by a compensator pole
wP1 (wP1 = wESR = 1/(RCC4)).
5.
Place
a
high
frequency
compensator
pole
w
P2
(wP2
=
pfs) to get the maximum attenuation of the switch-
ing ripple and high frequency noise with the adequate
phase lag at wC.
After the compensation, the converter will have the
following loop gain:
T(s) = GPWM ⋅ GCOMP (s) ⋅ GVD(s) =
1
VM
⋅ wI ⋅ VI
s
1+
⋅
1+
OMP (s) ⋅ GVD(=s) =
1
VM
⋅ wI ⋅ VI
s
1+
⋅
1+
s
wZ1
s
wP1
1+ s
⋅
wZ2
⋅1+ s
wP2
1+
s
1
⋅
RC ⋅ C4
1+
s
L1
R
+
s2L1C
s
wZ1
s
wP1
1+ s
⋅
⋅
1
+
wZ2
s
wP2
1+
s
1
⋅
1
+
s
RC ⋅ C4
L1
R
+
s2L1C
The compensated loop gain will be as given as show in
Figure 18.
where
GPWM = PWM gain.
VM = 1.0V, ramp peak to valley voltage of SC4624A.
Figure 18. Asymptotic Diagrams
of Power Stage and Loop Gain
2008 Semtech Corp.
15
www.semtech.com