Mar 29-07 RevD SP6126: TSOT-6 PFET Buck Controller
2007 Sipex Corporation
8
A sudden decrease in I
OUT
forces the energy
surplus in L to be absorbed by C
OUT
. This
causes an overshoot in output voltage that is
corrected by power switch reduced duty cycle.
Use the following equation to calculate C
OUT
:
×
=
Vos
Where:
L is the output inductance
I
2 is the step load high current
I
1 is the step load low current
Vos is output voltage including overshoot
V
OUT
is steady state output voltage
Output voltage undershoot calculation is more
complicated. Test results for SP6126 buck
circuits show that undershoot is approximately
equal to overshoot. Therefore above equation
provides a satisfactory method for calculating
C
OUT
.
Select ESR such that output voltage ripple
(V
RIP
) specification is met. There are two
components to V
RIP
: First component arises
from charge transferred to and from C
OUT
during each cycle. The second component of
V
RIP
is due to inductor ripple current flowing
through output capacitor’s ESR. It can be
calculated from:
2
2
Vout
-
1
2
I
I
L
Cout
2
2
8
1
×
×
+
×
=
fs
Cout
ESR
Irip
Vrip
Where:
I
RIP
is inductor ripple current
f
s is switching frequency
C
OUT
is output capacitor calculated above
Note that a smaller inductor results in a higher
I
RIP
, therefore requiring a larger C
OUT
and/or
lower ESR in order to meet V
RIP
.
Input Capacitor Selection
Select
the
Capacitance, ripple current, ESR and ESL.
Voltage rating is nominally selected to be twice
the input voltage. The RMS value of input
capacitor current, assuming a low inductor
ripple current (
I
RIP
), can be calculated from:
Iout
Icin
×
=
input
capacitor
for
Voltage,
(
)
D
D
1
In general total input voltage ripple should be
kept below 1.5% of V
IN
(not to exceed 180mV).
Input voltage ripple has three components:
ESR and ESL cause a step voltage drop upon
turn on of the MOSFET. During on time
capacitor discharges linearly as it supplies
I
OUT
-Iin. The contribution to Input voltage ripple
by each term can be calculated from:
Vout
Iout
Cin
V
=
(
×
)
2
,
Vin
Cin
fs
Vout
Vin
×
(
(
×
×
)
Irip
Iout
ESR
ESR
V
5
,
=
)
Trise
Irip
Iout
ESL
ESL
V
5
,
=
Where Trise is the rise time of current through
capacitor
Total input voltage ripple is sum of the above:
Cin
V
Tot
V
,
,
+
=
ESL
V
ESR
V
,
,
+
GENERAL OVERVIEW