LTC3788 Linear Technology, LTC3788 Datasheet - Page 25

• Manufacturer Part Number: LTC3788
• Description: Dual Output Synchronous Boost Controller
• Manufacturer: Linear Technology

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APPLICATIONS INFORMATION
not be within the bandwidth of the feedback loop, so this
signal cannot be used to determine phase margin. This
is why it is better to look at the ITH pin signal which is
in the feedback loop and is the fi ltered and compensated
control loop response.
The gain of the loop will be increased by increasing R
and the bandwidth of the loop will be increased by de-
creasing C
is decreased, the zero frequency will be kept the same,
thereby keeping the phase shift the same in the most
critical frequency range of the feedback loop. The output
voltage settling behavior is related to the stability of the
closed-loop system and will demonstrate the actual overall
supply performance.
A second, more severe transient is caused by switching
in loads with large (>1μF) supply bypass capacitors. The
discharged bypass capacitors are effectively put in parallel
with C
alter its delivery of current quickly enough to prevent this
sudden step change in output voltage if the load switch
resistance is low and it is driven quickly. If the ratio of
C
should be controlled so that the load rise time is limited to
approximately 25 • C
require a 250μs rise time, limiting the charging current
to about 200mA.
Design Example
As a design example for one channel, assume V
12V(nominal), V
V
The inductance value is chosen fi rst based on a 30% ripple
current assumption. The highest value of ripple current
occurs at the maximum input voltage. Tie the PLLLPF
LOAD
SENSE(MAX)
OUT
to C
, causing a rapid drop in V
C
OUT
. If R
= 75mV, and f = 350kHz.
is greater than 1:50, the switch rise time
C
IN
is increased by the same factor that C
= 22V (max), V
LOAD
. Thus, a 10μF capacitor would
OUT
OUT
= 24V, I
. No regulator can
MAX
= 4A,
IN
=
C
C
pin to GND, generating 350kHz operation. The minimum
inductance for 30% ripple current is:
A 6.8μH inductor will produce a 31% ripple current. The
peak inductor current will be the maximum DC value plus
one half the ripple current, or 9.25A.
The R
maximum current sense voltage specifi cation with some
accommodation for tolerances:
Choosing 1% resistors: R
output voltage of 24.072V.
The power dissipation on the top side MOSFET can
be easily estimated. Choosing a Vishay Si7848BDP
MOSFET results in: R
At maximum input voltage with T(estimated) = 50°C:
C
The maximum output current peak is:
A low ESR (5mΩ) capacitor is suggested. This capacitor
will limit output voltage ripple to 46.5mV (assuming ESR
dominate ripple).
OUT
I
R
P
ΔI
OUT PEAK
MAIN
SENSE
L
is chosen to fi lter the square current in the output.
SENSE
(
=
=
f L
V
•
+
≤
•
IN
(
resistor value can be calculated by using the
24
⎡ ⎣
( . )(
)
9 25
1
75
1 7 24
⎛
⎜
⎝
=
.
+
V
1
mV
(
( .
24
12
−
12
−
0 005 50
A
12
V
V
•
=
V
OUT
)
V
V
DS(ON)
4 1
IN
2
0 008
)
)
)(
3
⎛
⎝ ⎜
.
24
⎞
⎟
⎠
12
A
4
+
V
= 5k and R
A
° ° −
V
= 0.012Ω, C
Ω
• (
C
31
(
2
4
150
%
A
25
)
⎞
⎠ ⎟
2
pF
°
=
C
) • .
) ) (
B
9 3
⎤ ⎦
LTC3788
350
= 95.3k yields an
.
MILLER
0 008
A
kHz
)
Ω
= 150pF .
=
25
0 7
.
3788f
W