MAX5038/MAX5041
Dual-Phase, Parallelable, Average Current-Mode
Controllers
22 ______________________________________________________________________________________
Selecting higher switching frequencies reduces the
inductance requirement, but at the cost of lower efficien-
cy. The charge/discharge cycle of the gate and drain
capacitances in the switching MOSFETs create switching
losses. The situation worsens at higher input voltages,
since switching losses are proportional to the square of
input voltage. Use 500kHz per phase for V
IN
= +5V and
250kHz or less per phase for V
IN
> +12V.
Although lower switching frequencies per phase increase
the peak-to-peak inductor ripple current (I
L
), the ripple
cancellation in the multiphase topology reduces the input
and output capacitor RMS ripple current.
Use the following equation to determine the minimum
inductance value:
Choose I
L
equal to about 40% of the output current
per phase. Since I
L
affects the output-ripple voltage,
the inductance value may need minor adjustment after
choosing the output capacitors for full-rated efficiency.
Choose inductors from the standard high-current,
surface-mount inductor series available from various
manufacturers. Particular applications may require cus-
tom-made inductors. Use high-frequency core material
for custom inductors. High I
L
causes large peak-to-peak
flux excursion increasing the core losses at higher fre-
quencies. The high-frequency operation coupled with
high I
L
, reduces the required minimum inductance
and even makes the use of planar inductors possible.
The advantages of using planar magnetics include low-
profile design, excellent current-sharing between phas-
es due to the tight control of parasitics, and low cost.
For example, calculate the minimum inductance at
V
IN(MAX)
= +13.2V, V
OUT
= +1.8V, I
L
= 10A, and f
SW
=
250kHz:
The average current-mode control feature of the
MAX5038/MAX5041 limits the maximum peak inductor
current which prevents the inductor from saturating.
Choose an inductor with a saturating current greater
than the worst-case peak inductor current.
Use the following equation to determine the worst-case
inductor current for each phase:
where R
SENSE
is the sense resistor in each phase.
Switching MOSFETs
when choosing a MOSFET for voltage regulators,
consider the total gate charge, R
DS(ON)
, power dissipa-
tion, and package thermal impedance. The product of
the MOSFET gate charge and on-resistance is a figure of
merit, with a lower number signifying better performance.
Choose MOSFETs optimized for high-frequency switch-
ing applications.
The average gate-drive current from the MAX5038/
MAX5041 output is proportional to the total capacitance
it drives from DH1, DH2, DL1, and DL2. The power dis-
sipated in the MAX5038/MAX5041 is proportional to the
input voltage and the average drive current. See the V
IN
and V
CC
section to determine the maximum total gate
charge allowed from all the driver outputs together.
The gate charge and drain capacitance (CV
2)
loss, the
cross-conduction loss in the upper MOSFET due to finite
rise/fall time, and the I
2
R loss due to RMS current in the
MOSFET R
DS(ON)
account for the total losses in the MOS-
FET. Estimate the power loss (PD
MOS
_) in the high-side
and low-side MOSFETs using following equations:
where Q
G
, R
DS(ON)
, t
R
, and t
F
are the upper-switching
MOSFET’s total gate charge, on-resistance at +25°C,
rise time, and fall time, respectively.
where D = V
OUT
/V
IN
, I
DC
= (I
OUT
- I
L
)/2 and I
PK
=
(I
OUT
+ I
L
)/2
IIIII
D
RMS HI
DC PK
DC PK
=++×
()
×
22
3
PD Q V f
VI tt f
RI
MOS HI G DD SW
IN OUT R F SW
DS ON
RMS HI
×
()
+
××+
()
×
4
14
2
.
()
I
R
I
L PEAK
SENSE
L
_
.
=+
0 051
2
L
k
H
MIN
=
()
×
××
13 2 1 8 1 8
13 2 250 10
06
.. .
.
.
L
VVV
Vf I
MIN
INMAX OUT OUT
IN SW L
=
()
×
××
(13)
(14)
(15)
(16)
(17)
MAX5038/MAX5041
Dual-Phase, Parallelable, Average Current-Mode
Controllers
______________________________________________________________________________________ 23
For example, from the typical specifications in the
Applications Information section with V
OUT
= +1.8V, the
high-side and low-side MOSFET RMS currents are 9.9A
and 24.1A, respectively. Ensure that the thermal imped-
ance of the MOSFET package keeps the junction tem-
perature at least 25°C below the absolute maximum
rating. Use the following equation to calculate maxi-
mum junction temperature:
T
J
= PD
MOS
x θ
J-A
+ T
A
Input Capacitors
The discontinuous input-current waveform of the buck
converter causes large ripple currents in the input
capacitor. The switching frequency, peak inductor cur-
rent, and the allowable peak-to-peak voltage ripple
reflected back to the source dictate the capacitance
requirement. Increasing the number of phases increas-
es the effective switching frequency and lowers the
peak-to-average current ratio, yielding lower input
capacitance requirement.
The input ripple is comprised of V
Q
(caused by the
capacitor discharge) and V
ESR
(caused by the ESR of
the capacitor). Use low-ESR ceramic capacitors with
high ripple-current capability at the input. Assume the
contributions from the ESR and capacitor discharge are
equal to 30% and 70%, respectively. Calculate the
input capacitance and ESR required for a specified rip-
ple using the following equation:
where I
OUT
is the total output current of the multiphase
converter and N is the number of phases.
For example, at V
OUT
= +1.8V, the ESR and input
capacitance are calculated for the input peak-to-peak
ripple of 100mV or less yielding an ESR and capaci-
tance value of 1m and 200µF.
Output Capacitors
The worst-case peak-to-peak and capacitor RMS ripple
current, the allowable peak-to-peak output ripple volt-
age, and the maximum deviation of the output voltage
during step loads determine the capacitance and the
ESR requirements for the output capacitors.
In multiphase converter design, the ripple currents from
the individual phases cancel each other and lower the
ripple current. The degree of ripple cancellation
depends on the operating duty cycle and the number of
phases. Choose the right equation from Table 3 to calcu-
late the peak-to-peak output ripple for a given duty
cycle of two-, four-, and six-phase converters. The max-
imum ripple cancellation occurs when N
PH
= K / D.
C
I
N
DD
Vf
IN
OUT
QSW
=
×−
()
×
1
ESR
V
I
N
I
IN
ESR
OUT L
=
()
+
2
IIIII
D
RMS LO
DC PK
DC PK
=++×
()
×
()
22
1
3
PD Q V f
CVf
RI
MOS LO G DD SW
OSS IN SW
DS ON
RMS LO
×
()
+
×××
2
3
14
2
2
.
()
Table 3. Peak-to-Peak Output Ripple
Current Calculations
NUMBER OF
PHASES (N)
DUTY
CYCLE (D)
EQUATION FOR I
P-P
2 < 50%
2 > 50%
4 0 to 25%
4
25% to 50%
4 > 50%
6 < 17%
I
VD
Lf
O
SW
=
×
()12
I
VVD
Lf
IN O
SW
=
()
()
×
21
I
VD
Lf
O
SW
=
×
()14
I
VDD
DLf
O
SW
=
−−
×××
()()12 4 1
2
I
VD D
DLf
O
SW
=
−−
××
()( )2134
I
VD
Lf
O
SW
=
×
()16
(18)
(19)
(20)
(21)
(22)
MAX5038/MAX5041
Dual-Phase, Parallelable, Average Current-Mode
Controllers
24 ______________________________________________________________________________________
The allowable deviation of the output voltage during the
fast transient load dictates the output capacitance and
ESR. The output capacitors supply the load step until
the controller responds with a greater duty cycle. The
response time (t
RESPONSE
) depends on the closed-loop
bandwidth of the converter. The resistive drop across
the capacitor ESR and capacitor discharge causes a
voltage drop during a step load. Use a combination of
SP polymer and ceramic capacitors for better transient
load and ripple/noise performance.
Keep the maximum output voltage deviation less than
or equal to the adaptive voltage-positioning window
(V
OUT
). Assume 50% contribution each from the out-
put capacitance discharge and the ESR drop. Use the
following equations to calculate the required ESR and
capacitance value:
where I
STEP
is the load step and t
RESPONSE
is the
response time of the controller. Controller response
time depends on the control-loop bandwidth.
Current Limit
The average current-mode control technique of the
MAX5038/MAX5041 accurately limits the maximum out-
put current per phase. The MAX5038/MAX5041 sense
the voltage across the sense resistor and limit the peak
inductor current (I
L-PK
) accordingly. The ON cycle ter-
minates when the current-sense voltage reaches 45mV
(min). Use the following equation to calculate maximum
current-sense resistor value:
where PD
R
is the power dissipation in sense resistors.
Select 5% lower value of R
SENSE
to compensate for any
parasitics associated with the PC board. Also, select a
non-inductive resistor with the appropriate wattage rating.
Compensation
The main control loop consists of an inner current loop
and an outer voltage loop. The MAX5038/MAX5041 use
an average current-mode control scheme to regulate
the output voltage (Figures 3a and 3b). I
PHASE1
and
I
PHASE2
are the inner average current loops. The VEA
output provides the controlling voltage for these current
sources. The inner current loop absorbs the inductor
pole reducing the order of the outer voltage loop to that
of a single-pole system.
A resistive feedback around the VEA provides the best
possible response, since there are no capacitors to
charge and discharge during large-signal excursions, R
F
and R
IN
determine the VEA gain. Use the following equa-
tion to calculate the value for R
F
:
where G
C
is the current-loop gain and N is number of
phases.
When designing the current-control loop ensure that the
inductor downslope (when it becomes an upslope at the
CEA output) does not exceed the ramp slope. This is a
necessary condition to avoid sub-harmonic oscillations
similar to those in peak current-mode control with insuffi-
cient slope compensation. Use the following equation to
calculate the resistor R
CF
:
For example, the maximum R
CF
is 12k for R
SENSE
=
1.35m.
C
CF
provides a low-frequency pole while R
CF
provides a
midband zero. Place a zero at f
Z
to obtain a phase bump
at the crossover frequency. Place a high-frequency pole
(f
P
) at least a decade away from the crossover frequency
to achieve maximum phase margin.
R
fL
VR
CF
SW
OUT SENSE
×××
×
210
2
G
R
C
S
=
005.
R
IR
NG V
F
OUT IN
C OUT
=
×
××
PD
R
R
SENSE
=
×
25 10
3
.
R
I
N
SENSE
OUT
=
0 045.
C
It
V
OUT
STEP RESPONSE
Q
=
×
ESR
V
I
OUT
ESR
STEP
=
(23)
(24)
(25)
(26)
(27)
(28)
(29)

MAX5041EAI+T

Mfr. #:
Manufacturer:
Maxim Integrated
Description:
Switching Controllers Dual-Phase Parallelable Average
Lifecycle:
New from this manufacturer.
Delivery:
DHL FedEx Ups TNT EMS
Payment:
T/T Paypal Visa MoneyGram Western Union

Products related to this Datasheet