LTC3865/LTC3865-1
16
3865fb
APPLICATIONS INFORMATION
the sense traces on the PCB. A typical fi lter consists of
two series 10Ω resistors connected to a parallel 1000pF
capacitor, resulting in a time constant of 20ns.
This same RC fi lter, with minor modifi cations, can be used
to extract the resistive component of the current sense
signal in the presence of parasitic inductance. For example,
Figure 3 illustrates the voltage waveform across a 2mΩ
sense resistor with a 2010 footprint for the 1.2V/15A
converter operating at 100% load. The waveform is the
superposition of a purely resistive component and a
purely inductive component. It was measured using two
scope probes and waveform math to obtain a differential
measurement. Based on additional measurements of the
inductor ripple current and the on-time and off-time of
the top switch, the value of the parasitic inductance was
determined to be 0.5nH using the equation:
ESL
V
I
tt
tt
ESL STEP
L
ON OFF
ON OFF
=
Δ+
()
If the RC time constant is chosen to be close to the parasitic
inductance divided by the sense resistor (L/R), the result-
ing waveform looks resistive again, as shown in Figure 4.
For applications using low maximum sense voltages,
check the sense resistor manufacturers data sheet for
information about parasitic inductance. In the absence of
data, measure the voltage drop directly across the sense
resistor to extract the magnitude of the ESL step and use
the equation above to determine the ESL. However, do not
over fi lter. Keep the RC time constant less than or equal
to the inductor time constant to maintain a high enough
ripple voltage on V
RSENSE
.
The above generally applies to high density/high current
applications where I
(MAX)
>10A and low values of inductors
are used. For applications where I
(MAX)
< 10A, set R
F
to
10 and C
F
to 1000pF. This will provide a good starting
point.
The fi lter components need to be placed close to the IC.
The positive and negative sense traces need to be routed
as a differential pair and Kelvin connected to the sense
resistor.
Inductor DCR Sensing
For applications requiring the highest possible effi ciency
at high load currents, the LTC3865/LTC3865-1 are capable
of sensing the voltage drop across the inductor DCR, as
shown in Figure 2b. The DCR of the inductor represents
the small amount of DC winding resistance of the copper,
which can be less than 1mΩ for todays low value, high
current inductors. In a high current application requiring
such an inductor, conduction loss through a sense resis-
tor would cost several points of effi ciency compared to
DCR sensing.
If the external R1||R2 • C1 time constant is chosen to be
exactly equal to the L/DCR time constant, the voltage drop
across the external capacitor is equal to the drop across
the inductor DCR multiplied by R2/(R1 + R2). R2 scales the
voltage across the sense terminals for applications where
the DCR is greater than the target sense resistor value.
To properly dimension the external fi lter components, the
DCR of the inductor must be known. It can be measured
using a good RLC meter, but the DCR tolerance is not
500ns/DIV
V
SENSE
20mV/DIV
3865 F03
V
ESL(STEP)
500ns/DIV
V
SENSE
20mV/DIV
3865 F04
Figure 3. Voltage Waveform Measured
Directly Across the Sense Resistor
Figure 4. Voltage Waveform Measured After the
Sense Resistor Filter. C
F
= 1000pF, R
F
= 100Ω
LTC3865/LTC3865-1
17
3865fb
APPLICATIONS INFORMATION
always the same and varies with temperature; consult the
manufacturers’ data sheets for detailed information.
Using the inductor ripple current value from the Induc-
tor Value Calculation section, the target sense resistor
value is:
R
V
I
I
SENSE EQUIV
SENSE MAX
MAX
L
()
()
()
=
+
Δ
2
To ensure that the application will deliver full load current
over the full operating temperature range, choose the
minimum value for the Maximum Current Sense Threshold
(V
SENSE(MAX)
) in the Electrical Characteristics table (24mV,
44mV or 68mV, depending on the state of the I
LIM
pin).
Next, determine the DCR of the inductor. Where provided,
use the manufacturers maximum value, usually given at
20°C. Increase this value to account for the temperature
coeffi cient of resistance, which is approximately 0.4%/°C.
A conservative value for T
L(MAX)
is 100°C.
To scale the maximum inductor DCR to the desired sense
resistor value, use the divider ratio:
R
R
DCR at T
D
SENSE EQUIV
MAX L MAX
=
()
() ()
C1 is usually selected to be in the range of 0.047µF to
0.47µF. This forces R1||R2 to around 2kΩ, reducing error
that might have been caused by the SENSE pins’ ±1µA
current.
The equivalent resistance R1||R2 is scaled to the room
temperature inductance and maximum DCR:
RR
L
DCR at C C
12
20 1
||
()
=
°
The sense resistor values are:
R
RR
R
R
RR
R
D
D
D
1
12
2
1
1
==
||
;
The maximum power loss in R1 is related to duty cycle,
and will occur in continuous mode at the maximum input
voltage:
PR
VVV
R
LOSS
IN MAX OUT OUT
1
1
=
()
()
Ensure that R1 has a power rating higher than this value.
If high effi ciency is necessary at light loads, consider this
power loss when deciding whether to use DCR sensing or
sense resistors. Light load power loss can be modestly
higher with a DCR network than with a sense resistor, due
to the extra switching losses incurred through R1. However,
DCR sensing eliminates a sense resistor, reduces conduc-
tion losses and provides higher effi ciency at heavy loads.
Peak effi ciency is about the same with either method.
To maintain a good signal to noise ratio for the current
sense signal, use a minimum ΔV
SENSE
of 10mV to 15mV.
For a DCR sensing application, the actual ripple voltage
will be determined by the equation:
Δ=
V
VV
RC
V
Vf
SENSE
IN OUT OUT
IN OSC
11••
Slope Compensation and Inductor Peak Current
Slope compensation provides stability in constant-
frequency architectures by preventing subharmonic oscil-
lations at high duty cycles. It is accomplished internally
by adding a compensating ramp to the inductor current
signal at duty cycles in excess of 40%. Normally, this
results in a reduction of maximum inductor peak current
for duty cycles >40%. However, the LTC3865/LTC3865-1
use a patented scheme that counteracts this compensating
ramp, which allows the maximum inductor peak current
to remain unaffected throughout all duty cycles.
Inductor Value Calculation
Given the desired input and output voltages, the inductor
value and operating frequency f
OSC
directly determine the
inductors peak-to-peak ripple current:
I
V
V
VV
fL
RIPPLE
OUT
IN
IN OUT
OSC
=
LTC3865/LTC3865-1
18
3865fb
APPLICATIONS INFORMATION
Lower ripple current reduces core losses in the inductor,
ESR losses in the output capacitors, and output voltage
ripple. Thus, highest effi ciency operation is obtained at
low frequency with a small ripple current. Achieving this,
however, requires a large inductor.
A reasonable starting point is to choose a ripple current
that is about 40% of I
OUT(MAX)
. Note that the largest ripple
current occurs at the highest input voltage. To guarantee
that ripple current does not exceed a specifi ed maximum,
the inductor should be chosen according to:
L
VV
fI
V
V
IN OUT
OSC RIPPLE
OUT
IN
Inductor Core Selection
Once the inductance value is determined, the type of in-
ductor must be selected. Core loss is independent of core
size for a fi xed inductor value, but it is very dependent
on inductance selected. As inductance increases, core
losses go down. Unfortunately, increased inductance
requires more turns of wire and therefore copper losses
will increase.
Ferrite designs have very low core loss and are preferred
at high switching frequencies, so design goals can con-
centrate on copper loss and preventing saturation. Ferrite
core material saturates “hard,” which means that induc-
tance collapses abruptly when the peak design current is
exceeded. This results in an abrupt increase in inductor
ripple current and consequent output voltage ripple. Do
not allow the core to saturate!
Power MOSFET and Schottky Diode
(Optional) Selection
Two external power MOSFETs must be selected for each
controller in the LTC3865/LTC3865-1: one N-channel
MOSFET for the top (main) switch, and one N-channel
MOSFET for the bottom (synchronous) switch.
The peak-to-peak drive levels are set by the INTV
CC
voltage. This voltage is typically 5V during start-up
(see EXTV
CC
Pin Connection). Consequently, logic-level
threshold MOSFETs must be used in most applications.
The only exception is if low input voltage is expected
(V
IN
< 5V); then, sub-logic level threshold MOSFETs
(V
GS(TH)
< 3V) should be used. Pay close attention to the
BV
DSS
specifi cation for the MOSFETs as well; most of the
logic-level MOSFETs are limited to 30V or less.
Selection criteria for the power MOSFETs include the on-
resistance, R
DS(ON)
, Miller capacitance, C
MILLER
, input
voltage and maximum output current. Miller capacitance,
C
MILLER
, can be approximated from the gate charge curve
usually provided on the MOSFET manufacturers’ data
sheet. C
MILLER
is equal to the increase in gate charge
along the horizontal axis while the curve is approximately
at divided by the specifi ed change in V
DS
. This result is
then multiplied by the ratio of the application applied V
DS
to the gate charge curve specifi ed V
DS
. When the IC is
operating in continuous mode the duty cycles for the top
and bottom MOSFETs are given by:
Main Switch Duty Cycle
V
V
Synchronous Switc
OUT
IN
=
hh Duty Cycle
VV
V
IN OUT
IN
=
The MOSFET power dissipations at maximum output
current are given by:
P
V
V
IR
V
I
MAIN
OUT
IN
MAX DS ON
IN
MAX
=
()
+
()
+
()
2
2
1 δ
()
22
11
()( )
+
RC
VV V
DR MILLER
INTVCC TH MIN
() TTH MIN
OSC
SYNC
IN OUT
IN
MAX
f
P
VV
V
I
()
=
())
+
()
2
1 δ R
DS ON()
where δ is the temperature dependency of R
DS(ON)
and
R
DR
(approximately 2Ω) is the effective driver resistance
at the MOSFETs Miller threshold voltage. V
TH(MIN)
is the
typical MOSFET minimum threshold voltage.
Both MOSFETs have I
2
R losses while the topside N-channel
equation includes an additional term for transition losses,

LTC3865EUH#TRPBF

Mfr. #:
Manufacturer:
Analog Devices / Linear Technology
Description:
Switching Voltage Regulators Dual, 2-Phase Synchronous DC/DC Controller with Pin Selectable Outputs
Lifecycle:
New from this manufacturer.
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