PROGRAMMABLE SYNCHRONOUS DC/DC
CONVERTER, DUAL LOW DROPOUT
REGULATOR CONTROLLER
© 1999 SEMTECH CORP.
PRELIMINARY - January 6, 1999
652 MITCHELL ROAD NEWBURY PARK CA 91320
SC1185
SC1185A
10
COMPONENT SELECTION
SWITCHING SECTION
OUTPUT CAPACITORS - Selection begins with the
most critical component. Because of fast transient load
current requirements in modern microprocessor core
supplies, the output capacitors must supply all transient
load current requirements until the current in the output
inductor ramps up to the new level. Output capacitor
ESR is therefore one of the most important criteria. The
maximum ESR can be simply calculated from:
step current Transient I
excursion voltage transient MaximumV
Where
I
V
R
t
t
t
t
ESR
=
=
≤
Each Capacitor Total
Technology C
(µF)
ESR
(mΩ)
Qty.
Rqd.C(µF)
ESR
(mΩ)
Low ESR Tantalum 330 60 6 2000 10
OS-CON 330 25 3 990 8.3
Low ESR Aluminum 1500 44 5 7500 8.8
()
OIN
t
ESR
VV
I
CR
L
−≤
OSC
IN
L
fL4
V
I
RIPPLE
⋅⋅
=
IN
O
)on(DS
2
OCOND
V
V
cycleduty =
where
RIP
≈δ
δ⋅⋅=
2
INOSW
10VIP
−
⋅⋅=
4
f)tt(VI
P
OSCfrINO
SW
⋅+⋅⋅
=
OSCINRRRR
fVQP
⋅⋅=
For example, to meet a 100mV transient limit with a
10A load step, the output capacitor ESR must be less
than 10mΩ. To meet this kind of ESR level, there are
three available capacitor technologies.
The choice of which to use is simply a cost/performance issue, with Low ESR Aluminum being the
cheapest, but taking up the most space.
INDUCTOR - Having decided on a suitable type and
value of output capacitor, the maximum allowable
value of inductor can be calculated. Too large an inductor will produce a slow current ramp rate and will
cause the output capacitor to supply more of the transient load current for longer - leading to an output voltage sag below the ESR excursion calculated above.
The maximum inductor value may be calculated from:
The calculated maximum inductor value assumes 100%
duty cycle, so some allowance must be made. Choosing
an inductor value of 50 to 75% of the calculated maximum will guarantee that the inductor current will ramp
fast enough to reduce the voltage dropped across the
ESR at a faster rate than the capacitor sags, hence ensuring a good recovery from transient with no additional
excursions.
We must also be concerned with ripple current in the
output inductor and a general rule of thumb has been to
allow 10% of maximum output current as ripple current.
Note that most of the output voltage ripple is produced
by the inductor ripple current flowing in the output capacitor ESR. Ripple current can be calculated from:
Ripple current allowance will define the minimum permitted inductor value.
POWER FETS - The FETs are chosen based on several
criteria with probably the most important being power
dissipation and power handling capability.
TOP FET - The power dissipation in the top FET is a
combination of conduction losses, switching losses and
bottom FET body diode recovery losses.
a) Conduction losses are simply calculated as:
b) Switching losses can be estimated by assuming a
switching time, if we assume 100ns then:
or more generally,
c) Body diode recovery losses are more difficult to estimate, but to a first approximation, it is reasonable to assume that the stored charge on the bottom FET body
diode will be moved through the top FET as it starts to
turn on. The resulting power dissipation in the top FET
will be:
To a first order approximation, it is convenient to only
consider conduction losses to determine FET suitability.
For a 5V in; 2.8V out at 14.2A requirement, typical FET
losses would be: