MAX1864/MAX1865
xDSL/Cable Modem Triple/Quintuple Output
Power Supplies
16 ______________________________________________________________________________________
MOSFET Selection
The MAX1864/MAX1865s’ step-down controller drives
two external logic-level N-channel MOSFETs as the cir-
cuit switch elements. The key selection parameters are:
• On-resistance (R
DS(ON)
)
• Maximum drain-to-source voltage (V
DS(MAX)
)
• Minimum threshold voltage (V
TH(MIN)
)
• Total gate charge (Q
g
)
• Reverse transfer capacitance (C
RSS
)
The high-side N-channel MOSFET must be a logic-level
type with guaranteed on-resistance specifications at
V
GS
4.5V. Select the high-side MOSFET’s R
DS(ON)
so
I
PEAK
x R
DS(ON)
225mV for the current-sense range.
For maximum efficiency, choose a high-side MOSFET
(N
H
) that has conduction losses equal to the switching
losses at the optimum input voltage. Check to ensure
that the conduction losses at minimum input voltage
don’t exceed the package thermal limits or violate the
overall thermal budget. Check to ensure that the con-
duction losses plus switching losses at the maximum
input voltage don’t exceed package ratings or violate
the overall thermal budget.
The low-side MOSFET (N
L
) provides the current-limit
signal, so choose a MOSFET with an R
DS(ON)
large
enough to provide adequate circuit protection (see
Setting the Current Limit):
Use the worst-case maximum value for R
DS(ON)
from
the MOSFET N
L
data sheet, and add some margin for
the rise in R
DS(ON)
over temperature. A good general
rule is to allow 0.5% additional resistance for each °C of
the MOSFET junction temperature rise. Ensure that the
MAX1864/MAX1865 DL gate drivers can drive N
L
; in
other words, check that the dv/dt caused by N
H
turning
on does not pull up the N
L
gate due to drain-to-gate
capacitance, causing cross-conduction problems.
MOSFET package power dissipation often becomes a
dominant design factor. I
2
R power losses are the great-
est heat contributor for both high-side and low-side
MOSFETs. I
2
R losses are distributed between N
H
and
N
L
according to duty factor as shown in the equations
below. Generally, switching losses affect only the high-
side MOSFET since the low-side MOSFET is a zero-volt-
age switched device when used in the buck topology.
Gate-charge losses are dissipated by the driver and do
not heat the MOSFET. Calculate the temperature rise
according to package thermal-resistance specifications
to ensure that both MOSFETs are within their maximum
junction temperature at high ambient temperature. The
worst-case dissipation for the high-side MOSFET (P
NH
)
occurs at both extremes of input voltage, and the
worst-case dissipation for the low-side MOSFET (P
NL
)
occurs at maximum input voltage.
where I
GATE
is the DH driver peak output current capa-
bility (1A typ), and 20ns is the DH driver inherent
rise/fall-time. To reduce EMI caused by switching
noise, add a 0.1µF ceramic capacitor from the high-
side switch drain to the low-side switch source, or add
resistors (47Ω max) in series with DL and DH to
increase the switches’ turn-on and turn-off times (Figure
5).
The minimum load current should exceed the high-side
MOSFET’s maximum leakage current over temperature
if fault conditions are expected.
Input Capacitor
The input filter capacitor reduces peak currents drawn
from the power source and reduces noise and voltage
ripple on the input caused by the circuit’s switching.
The input capacitor must meet the ripple current
requirement (I
RMS
) imposed by the switching currents
defined by the following equation:
For most applications, nontantalum capacitors (ceram-
ic, aluminum, polymer, or OS-CON) are preferred due
to their robustness with high inrush currents typical of
systems with low-impedance battery inputs.
Additionally, two (or more) smaller value low-ESR
capacitors can be connected in parallel for lower cost.
Choose an input capacitor that exhibits less than
+10°C temperature rise at the RMS input current for
optimal circuit long-term reliability.
II
VVV
V
RMS LOAD
OUT IN OUT
IN
=
()
-
Duty Cycle D
V
V
PVI
VC
I
PIRD
PP
P
PI R D
OUT
IN
NH SWITCHING IN LOAD OSC
IN RSS
GATE
NH CONDUCTION LOAD DS ON NH
NH TOTAL NH SWITCHING
NH CONDUCTION
NL LOAD DS ON NL
:
()
() ()
() ( )
()
()
=
=
=+
=
()
2
2
1-
R
V
I
DS ON
VALLEY
VALLEY
()
=
MAX1864/MAX1865
xDSL/Cable Modem Triple/Quintuple Output
Power Supplies
______________________________________________________________________________________ 17
Output Capacitor
The key selection parameters for the output capacitor
are the actual capacitance value, the equivalent series
resistance (ESR), and voltage-rating requirements,
which affect the overall stability, output ripple voltage,
and transient response.
The output ripple has two components: variations in the
charge stored in the output capacitor, and the voltage
drop across the capacitor’s ESR caused by the current
into and out of the capacitor:
The output voltage ripple as a consequence of the ESR
and output capacitance is:
where I
P-P
is the peak-to-peak inductor current (see
Inductor Value section). These equations are suitable
for initial capacitor selection, but final values should be
set by testing a prototype or evaluation circuit. As a
general rule, a smaller ripple current results in less out-
put ripple. Since the inductor ripple current is a factor
of the inductor value and input voltage, the output volt-
age ripple decreases with larger inductance but
increases with lower input voltages.
With low-cost aluminum electrolytic capacitors, the
ESR-induced ripple can be larger than that caused by
the current into and out of the capacitor. Consequently,
high-quality low-ESR aluminum-electrolytic, tantalum,
polymer, or ceramic filter capacitors are required to
minimize output ripple. Best results at reasonable cost
are typically achieved with an aluminum-electrolytic
capacitor in the 470µF range, in parallel with a 0.1µF
ceramic capacitor.
Since the MAX1864/MAX1865 use a current-mode con-
trol scheme, the output capacitor forms a pole that
affects circuit stability (see Compensation Design).
Furthermore, the output capacitor’s ESR also forms a
zero.
The MAX1864/MAX1865s’ response to a load transient
depends on the selected output capacitor. After a load
transient, the output instantly changes by ESR
ΔI
LOAD
. Before the controller can respond, the output
will sag further, depending on the inductor and output
capacitor values.
After a short period of time (see Typical Operating
Characteristics), the controller responds by regulating
the output voltage back to its nominal state. For appli-
cations that have strict transient requirements, low-ESR
high-capacitance electrolytic capacitors are recom-
mended to minimize the transient voltage swing.
Do not exceed the capacitor’s voltage or ripple-current
ratings.
Compensation Design
The MAX1864/MAX1865 controllers use an internal
transconductance error amplifier whose output com-
pensates the control loop. Connect a series resistor
and capacitor between COMP and GND to form a pole-
zero pair. The external inductor, high-side MOSFET,
output capacitor, compensation resistor, and compen-
sation capacitor determine the loop stability. The induc-
tor and output capacitor are chosen based on
performance, size, and cost. Additionally, the compen-
sation resistor and capacitor are selected to optimize
control-loop stability. The component values shown in
the standard application circuits (Figures 1 and 6) yield
stable operation over a broad range of input-to-output
voltages.
The controller uses a current-mode control scheme that
regulates the output voltage by forcing the required
current through the external inductor, so the
MAX1864/MAX1865 use the voltage across the high-
side MOSFET’s R
DS(ON)
to sense the inductor current.
Using the current-sense amplifier’s output signal and
the amplified feedback voltage, the control loop deter-
mines the peak inductor current by:
V I ESR
V
I
C
I
VV
L
V
V
RIPPLE ESR P P
RIPPLE C
PP
OUT SW
PP
IN OUT
SW
OUT
IN
()
()
=
=
ƒ
=
ƒ
2
-
VV V
RIPPLE RIPPLE ESR RIPPLE C
=+
() ()
BST
N
H
R
GATE
(OPTIONAL)
N
L
R
GATE
(OPTIONAL)
C
BST
DH
LX
L
TO VL
DH
GND
MAX1864
MAX1865
Figure 5. Reducing the Switching EMI
MAX1864/MAX1865
xDSL/Cable Modem Triple/Quintuple Output
Power Supplies
18 ______________________________________________________________________________________
where A
VCS
is the current-sense amplifier’s gain (4.9
typ), A
VEA
is the DC gain of the error amplifier (2000
typ), and V
OUT(NOMINAL)
is the output voltage set by
the feedback resistive-divider (internal or external).
Since the output voltage is a function of the load cur-
rent and load resistance, the total DC loop gain
(A
V(DC)
) is approximately:
The compensation capacitor (C
COMP
) creates the dom-
inant pole. Due to the current-mode control scheme,
the output capacitor also creates a pole in the system
that is a function of the load resistance. As the load
resistance increases, the frequency of the output
capacitor’s pole decreases. However, the DC loop gain
increases with larger load resistance, so the unity gain
bandwidth remains fixed. Additionally, the compensa-
tion resistor and the output capacitor’s ESR both gener-
ate zeros. Therefore, to achieve stable operation, use
the following procedure to properly compensate the
system:
1) First, select the desired crossover frequency. The
crossover frequency must be less than both 1/5th
the switching frequency and 1/3rd the zero frequen-
cy set by the output capacitor’s ESR:
2) Next, determine the pole set by the output capacitor
and the load resistor:
3) Determine the compensation resistor required to set
the desired crossover frequency:
where the error amplifier’s transconductance (g
m
) is
100µS (see Electrical Characteristics).
4) Finally, select the compensation capacitor:
Boost-Supply Diode
A signal diode, such as the 1N4148, works well in most
applications. If the input voltage goes below 6V, use a
small 20mA Schottky diode for slightly improved effi-
ciency and dropout characteristics. Do not use large
power diodes, such as the 1N5817 or 1N4001, since
high junction capacitance can charge up VL to exces-
sive voltages.
Linear Regulator Controllers
Positive Output Voltage Selection
The MAX1864/MAX1865s’ positive linear regulator out-
put voltages are set by connecting a voltage-divider
from the output to FB_ to GND (Figure 6). Select R4 in
the 5kΩ to 50kΩ range. Calculate R3 with the following
equation:
where V
FB
= 1.24V, and V
OUT
may range from 1.24V to
30V.
Negative Output Voltage Selection (MAX1865)
The MAX1865’s negative output voltage is set by con-
necting a voltage-divider from the output to FB5 to a
positive voltage reference (Figure 6). Select R6 in the
5kΩ to 50kΩ range. Calculate R5 with the following
equation:
where V
REF
is the positive reference voltage used, and
V
OUT
may be set between 0 and -20V.
If the negative regulator is used, the OUT pin must be
connected to a voltage supply between 2V and 5V that
can source at least 25mA. Typically, the OUT pin is
connected to the step-down converter’s output.
However, if the step-down converter’s output voltage is
set higher than 5V, OUT may be connected to one of
the positive linear regulators with an output voltage
between 2V and 5V.
RR
V
V
OUT
REF
56=
RR
V
V
OUT
FB
34 1=
-
C
R
COMP
COMP POLE OUT
ƒ
1
2π
()
R
gA
COMP
c
m V DC POLE OUT
=
׃
ƒ
2000
() ( )
ƒ= =
POLE OUT
OUT LOAD
LOAD MAX
OUT OUT
CR
I
CV
()
()
1
22ππ
IJ
ƒ
c
OUT ESR
SW
CR
and
1
65π
VR
VR
REF LOAD
OUT NOMINAL DS ON()()
×400
A
I
I
VR A
VRA
VDC
PEAK
LOAD
REF LOAD VEA
OUT NOMINAL DS ON VCS
()
()()
≈≈
I
VVA
VRA
PEAK
OUT REF VEA
OUT NOMINAL DS ON VCS
=
()()

MAX1864TEEE+

Mfr. #:
Manufacturer:
Maxim Integrated
Description:
Switching Controllers xDSL/Cable Modem Triple/Quint Output
Lifecycle:
New from this manufacturer.
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