LTC3814-5
22
38145fc
TYPE 2 Loop:
K = tan
BOOST
2
+ 45°
C2 =
1
2 fG•K•R1
C1= C2 K
2
1
()
R2 =
K
2 •f•C1
R
B
=
V
REF
(R1)
V
OUT
V
REF
TYPE 3 Loop:
K = tan
2
BOOST
4
+ 45°
C2 =
1
2 •f•GR1
C1= C2 K 1
()
R2 =
K
2 •f•C1
R3 =
R1
K 1
C3 =
1
2fK
R3
R
B
=
V
REF
(R1)
V
OUT
V
REF
SPICE or mathematical software can be used to generate
the gain/phase plots for the compensated power supply to
do a sanity check on the component values before trying
them out on the actual hardware. For software, use the
following transfer function:
T(s) = A(s)H(s)
where H(s) was given in equation 2 and A(s) depends on
compensation circuit used:
Type 2:
A (s)=
1+ s•R2•C1
s•R1 C1+C2
()
•1+ s•R2•
C1 C2
C1+C2
Type 3:
A (s)=
1
s•R1 C1+C2
()
1+ s• R1+R3
()
•C3
()
•1+ s•R2•C1
()
1+ s•R3•C3
()
•1+ s•R2•
C1 C2
C1+C2
For SPICE, simulate the previous PSPICE code with
calculated compensation values entered and generate a
gain/phase plot of V
OUT
/V
OUTIN
.
Fault Conditions: Current Limit
The maximum inductor current is inherently limited in a
current mode controller by the maximum sense voltage. In
the LTC3814-5, the maximum sense voltage is controlled
by the voltage on the V
RNG
pin. With peak current control,
the maximum sense voltage and the sense resistance
determine the maximum allowed inductor valley current.
The corresponding output current limit is:
I
LIMIT
=
V
SNS(MAX)
R
DS(ON)
ρ
T
1
2
ΔI
L
The current limit value should be checked to ensure that
I
LIMIT(MIN)
> I
OUT(MAX)
. The minimum value of current limit
generally occurs at the lowest V
IN
at the highest ambient
temperature, conditions that cause the largest power loss
in the converter. Note that it is important to check for
self-consistency between the assumed MOSFET junction
temperature and the resulting value of I
LIMIT
which heats
the MOSFET switches.
Caution should be used when setting the current limit
based upon the R
DS(ON)
of the MOSFETs. The maximum
current limit is determined by the minimum MOSFET
on-resistance. Data sheets typically specify nominal
and maximum values for R
DS(ON)
, but not a minimum.
APPLICATIONS INFORMATION
LTC3814-5
23
38145fc
A reasonable assumption is that the minimum R
DS(ON)
lies the same percentage below the typical value as the
maximum lies above it. Consult the MOSFET manufacturer
for further guidelines.
Note that in a boost mode architecture, it is only possible
to provide protection for “soft” shorts where V
OUT
> V
IN
.
For hard shorts, the inductor current is limited only by the
input supply capability.
Run/Soft-Start Function
The RUN/SS pin is a multipurpose pin that provides a soft-
start function and a means to shut down the LTC3814-5.
Soft-start reduces the input supplys surge current by
controlling the ramp rate of the I
TH
voltage, eliminates
output overshoot and can also be used for power supply
sequencing.
Pulling RUN/SS below 0.9V puts the LTC3814-5 into a low
quiescent current shutdown (I
Q
= 224µA). This pin can be
driven directly from logic as shown in Figure 14. Releasing
the RUN/SS pin allows an internal 1.4µA current source to
charge up the soft-start capacitor, C
SS
. When the voltage
on RUN/SS reaches 0.9V, the LTC3814-5 turns on and
begins ramping the I
TH
voltage at V
ITH
= V
SS
– 0.9V. As the
RUN/SS voltage increases from 0.9V to 3.3V, the current
limit is increased from 0% to 100% of its maximum value.
The RUN/SS voltage continues to charge until it reaches
its internally clamped value of 4V.
If RUN/SS starts at 0V, the delay before starting is
approximately:
t
DELAY,START
=
0.9V
1.4µA
C
SS
= 0.64s/µF
()
C
SS
plus an additional delay, before the current limit reaches
its maximum value of:
t
DELAY,REG
2.4V
1.4µA
C
SS
The start delay can be reduced by using diode D1 in
Figure 13.
Effi ciency Considerations
The percent effi ciency of a switching regulator is equal to
the output power divided by the input power times 100%.
It is often useful to analyze individual losses to determine
what is limiting the effi ciency and which change would
produce the most improvement. Although all dissipative
elements in the circuit produce losses, four main sources
account for most of the losses in LTC3814-5 circuits:
1. DC I
2
R losses. These arise from the resistances of the
MOSFETs, inductor and PC board traces and cause
the effi ciency to drop at high input currents. The input
current is maximum at maximum output current and
minimum input voltage. The average input current fl ows
through L, but is chopped between the top and bottom
MOSFETs. If the two MOSFETs have approximately the
same R
DS(ON)
, then the resistance of one MOSFET can
simply be summed with the resistances of L and the
board traces to obtain the DC I
2
R loss. For example, if
R
DS(ON)
= 0.01Ω and R
L
= 0.005Ω, the loss will range
from 15mW to 1.5W as the input current varies from
1A to 10A.
2. Transition loss. This loss arises from the brief amount
of time the bottom MOSFET spends in the saturated
region during switch node transitions. It depends upon
the output voltage, load current, driver strength and
MOSFET capacitance, among other factors. The loss
is signifi cant at output voltages above 20V and can be
estimated from the second term of the P
MAIN
equa-
tion found in the Power MOSFET Selection section.
When transition losses are signifi cant, effi ciency can
be improved by lowering the frequency and/or using a
bottom MOSFET(s) with lower C
RSS
at the expense of
higher R
DS(ON)
.
3. INTV
CC
current. This is the sum of the MOSFET
driver and control currents. Control current is typically
APPLICATIONS INFORMATION
Figure 13. RUN/SS Pin Interfacing
3.3V
OR 5V
RUN/SS
D1
C
SS
38145 F13
RUN/SS
C
SS
LTC3814-5
24
38145fc
about 3mA and driver current can be calculated by:
I
GATE
= f(Q
G(TOP)
+ Q
G(BOT)
), where Q
G(TOP)
and Q
G(BOT)
are the gate charges of the top and bottom MOSFETs.
This loss is proportional to the supply voltage that
INTV
CC
is derived from, i.e., V
IN
, V
OUT
or an external
supply connected to INTV
CC
.
4. C
OUT
loss. The output capacitor has the diffi cult job
of fi l
tering the large RMS input current out of the synchro-
nous MOSFET. It must
have a very low ESR to minimize
the AC I
2
R loss
.
Other losses, including C
IN
ESR loss, Schottky diode D1
conduction loss during dead time and inductor core loss
generally account for less than 2% additional loss. When
making adjustments to improve effi ciency, the input cur-
rent is the best indicator of changes in effi ciency. If you
make a change and the input current decreases, then the
effi ciency has increased. If there is no change in input
current, then there is no change in effi ciency.
Checking Transient Response
The regulator loop response can be checked by looking
at the load transient response. Switching regulators take
several cycles to respond to a step in load current. When
load step occurs, V
OUT
immediately shifts by an amount
equal to I
LOAD
(ESR), where ESR is the effective series
resistance of C
OUT
. I
LOAD
also begins to charge or dis-
charge C
OUT
generating a feedback error signal used by the
regulator to return V
OUT
to its steady-state value. During
this recovery time, V
OUT
can be monitored for overshoot
or ringing that would indicate a stability problem.
Design Example
As a design example, take a supply with the following speci-
cations: V
IN
= 12V ±20%, V
OUT
= 24V ±5%, I
OUT(MAX)
=
5A, f = 250kHz. Since V
IN
can vary around the 12V nominal
value, connect a resistive divider from V
IN
to V
OFF
to keep
the frequency independent of V
IN
changes:
R1
R2
=
12V
1.55V
1= 6.74
Choose R1 = 133k and R2 = 20k. Now calculate timing
resistor R
OFF
:
R
OFF
=
1+133k / 20k
250kHz 76pF
= 402.6k
The duty cycle is:
D= 1
12V
24V
= 0.5
and the maximum input current is:
I
IN(MAX)
=
5A
1 0.5
=10A
Choose the inductor for about 40% ripple current at the
maximum V
IN
:
L =
12V
250kHz 0.4 10A
1
12V
24V
= 6μH
The peak inductor current is:
I
L(PEAK)
=
5A
1 0.5
+
1
2
(4A)=12A
so, choose the CDEP147 5.9µH inductor with I
SAT
= 16.4A
at 100°C.
Next, choose the bottom MOSFET switch. Since the drain
of the MOSFET will see the full output voltage plus any
ringing, choose a 40V MOSFET to provide a margin of
safety. The Si7848DP has:
BV
DSS
= 40V
R
DS(ON)
= 9mΩ(max)/7.5mΩ(nom),
δ
= 0.006/°C,
C
MILLER
= (14nC – 6nC)/20V = 400pF,
V
GS(MILLER)
= 3.5V,
θ
JA
= 20°C/W.
This yields a nominal sense voltage of:
V
SNS(NOM)
=
1.7 0.0075Ω •5A
1 0.5
=128mV
APPLICATIONS INFORMATION

LTC3814IFE-5#PBF

Mfr. #:
Manufacturer:
Analog Devices / Linear Technology
Description:
Switching Voltage Regulators 60V C Mode Sync Boost Cntr
Lifecycle:
New from this manufacturer.
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