REV. A
ADP3158/ADP3178
–10–
Note that there is a trade-off between converter efficiency and
cost. Larger MOSFETs reduce the conduction losses and allow
higher efficiency, but increase the system cost. If efficiency is not a
major concern, a Vishay-Siliconix SUB45N03-13L (R
DS(ON)
=
10 m nominal, 16 m worst-case) for the high-side and a
Vishay-Siliconix SUB75N03-07 (R
DS(ON)
= 6 m nominal,
10 m worst-case) for the low-side are good choices.
The high-side MOSFET dissipation is:
PI R
VI Qf
I
PAm
V A nC kHz
A
W
DHSF RMSHSF DS ON
IN L PEAK G MIN
G
DHSF
+
×××
×
+
×× ×
×
=
2
2
2
88 16
5 15 70 195
21
175
()
()
..
(19)
where the second term represents the turn-off loss of the
MOSFET. In the second term, Q
G
is the gate charge to be
removed from the gate for turn-off and I
G
is the gate current.
From the data sheet, Q
G
is 70 nC and the gate drive current
provided by the ADP3159 is about 1 A.
The low-side MOSFET dissipation is:
PI R
PAmW
DLSF RMSLSF DS ON
DLSF
=
2
2
10 8 10 1 08
()
..
(20)
Note that there are no switching losses in the low-side MOSFET.
Surface mount MOSFETs are preferred in CPU core converter
applications due to their ability to be handled by automatic
assembly equipment. The TO-263 package offers the power
handling of a TO-220 in a surface-mount package. However,
this package still needs adequate copper area on the PCB to
help move the heat away from the package.
The junction temperature for a given area of 2-ounce copper
can be approximated using:
TPT
AD AJJ
()
+θ
(21)
assuming:
θ
JA
= 45°C/W for 0.5 in
2
θ
JA
= 36°C/W for 1 in
2
θ
JA
= 28°C/W for 2 in
2
For 1 in
2
of copper area attached to each transistor and an
ambient temperature of 50°C:
T
JHSF
= (36°C/W × 1.48 W) + 50°C = 103°C
T
JLSF
= (36°C/W × 1.08 W) + 50°C = 89°C
All of the above-calculated junction temperatures are safely
below the 175°C maximum specified junction temperature of
the selected MOSFETs.
C
IN
Selection and Input Current di/dt Reduction
In continuous inductor-current mode, the source current of the
high-side MOSFET is approximately a square wave with a duty
ratio equal to V
OUT
/V
IN
and an amplitude of one-half of the
maximum output current. To prevent large voltage transients, a
low ESR input capacitor sized for the maximum rms current
must be used. The maximum rms capacitor current is given by:
IIDD
AA
C RMS O HSF HSF()
. ..
=−=
=
2
2
15 0 36 0 36 7 2
(22)
For a ZA-type capacitor with 1000 µF capacitance and 6.3 V
voltage rating, the ESR is 24 m and the maximum allowable
ripple current at 100 kHz is 2 A. At 105°C, at least four such
capacitors must be connected in parallel to handle the calculated
ripple current. At 50°C ambient, however, a higher ripple cur-
rent can be tolerated, so three capacitors in parallel are adequate.
The ripple voltage across the three paralleled capacitors is:
VI
ESR
n
D
nC f
VA
m
FkHz
mV
C IN RIPPLE O
CIN
C
HSF
C IN MAX
C IN RIPPLE
()
()
()
%
+
××
+
×µ×
=15
24
3
36
3 1000 195
129
(23)
To further reduce the effect of the ripple voltage on the system
supply voltage bus, and to reduce the input-current di/dt to
below the recommended maximum of 0.1 A/ms, an additional
small inductor (L > 1 µH @ 10 A) should be inserted between
the converter and the supply bus.
Feedback Compensation for Active Voltage Positioning
Optimized compensation of the ADP3158 and ADP3178 allows
the best possible containment of the peak-to-peak output voltage
deviation. Any practical switching power converter is inherently
limited by the inductor in its output current slew rate to a value
much less than the slew rate of the load. Therefore, any sudden
change of load current will initially flow through the output capaci-
tors, and this will produce an output voltage deviation equal to the
ESR of the output capacitor array times the load current change.
CH2
TEK RUN: 200kS/s SAMPLE
100mV
CH1 M 250s CH2 680mV
2
TRIG'D
Figure 4. Transient Response of the Circuit of Figure 3
REV. A
ADP3158/ADP3178
–11–
0
EFFICIENCY %
0
2
OUTPUT CURRENT A
10
20
30
40
50
60
70
80
90
100
468101214161820
Figure 5. Efficiency vs. Load Current of the Circuit
of Figure 3
To correctly implement active voltage positioning, the low fre-
quency output impedance (i.e., the output resistance) of the
converter should be made equal to the maximum ESR of the
output capacitor array. This can be achieved by having a single-
pole roll-off of the voltage gain of the g
m
error amplifier, where
the pole frequency coincides with the ESR zero of the output
capacitor. A gain with single-pole roll-off requires that the g
m
amplifier output pin be terminated by the parallel combination
of a resistor and capacitor. The required resistor value can be
calculated from the equation:
R
RR
RR
Mk
Mk
k
COMP
OGM TOTAL
OGM TOTAL
=
×
=
Ω×
ΩΩ
=Ω
.
.
.
191
191
92
(24)
where:
R
nR
gR
m
mmho m
k
TOTAL
I SENSE
m
E MAX
=
×
×
=
×Ω
×Ω
=Ω
()
.
.
25 4
22 5
91
(25)
In Equations 24 and 25, R
OGM
is the internal resistance of the g
m
amplifier, n
I
is the division ratio from the output voltage to
signal of the g
m
amplifier to the PWM comparator, and g
m
is the
transconductance of the g
m
amplifier itself.
Although a single termination resistor equal to R
COMP
would yield
the proper voltage positioning gain, the dc biasing of that resistor
would determine how the regulation band is centered (i.e., offset).
Note that sometimes the specified regulation band is asymmetrical
with respect to the nominal VID voltage. With the ADP3158 and
ADP3178, the offset is already considered part of the design
procedureno special provision is required. To accomplish the dc
biasing, it is simplest to use two resistors to terminate the g
m
amplifier output, with the lower resistor (R
B
) tied to ground and
the upper resistor (R
A
) to the 12 V supply of the IC. The values of
these resistors can be calculated using:
R
V
gV K
V
mmho mV
k
A
DIV
m
OUT OS
=
×+
=
×+×
=Ω
()
.( .)
.
()
12
22 22 47 10
79 1
2
(26)
where K is a constant determined by internal characteristics of the
ADP3158 and ADP3178, peak-to-peak inductor current ripple
(I
RIPPLE
), and the current sampling resistor (R
SENSE
). K can be
calculated using Equations 28 and 29. V
DIV
is the resistor divider
supply voltage (e.g., the recommended 12 V supply) and V
OUT(OS)
is
the output voltage offset from the nominal VID-programmed value
under no load condition. This offset is given by Equation 30.
The closest 1% value for R
A
is 78.7 k. This value is then used
to solve for R
B
:
R
RR
RR
kk
kk
k
B
A COMP
A COMP
=
×
=
Ω×
ΩΩ
=Ω
..
. .
.
78 7 9 2
78 7 9 2
10 4
(27)
The nearest 1% value of 10.5 k was chosen for R
B
.
K
I
Rn
gR
V
gR
V
gR
K
Am
mmho k mmho k
V
mmho k
L RIPPLE
SENSE I
m TOTAL
GNL
m TOTAL
CC
m OGM
×
×
+
××
Ω×
×Ω
+
×Ω
××
()
()
.
..
.
.. .
.
22
38
2
425
22 91
1 174
22 91
12
2 2 2 130
47 10
2
VV V
RI
Vk
VmV
mA
VmV
OUT OS OUT MAX VID
E MAX L RIPPLE
VID VID
OUT OS
() ( )
() ( )
()
.
.
=−
()
×
−×
=−
Ω×
−××=
2
40
538
2
17 5 10 22
3
Finally, the compensating capacitance is determined from the
equality of the pole frequency of the error amplifier gain and the
zero frequency of the impedance of the output capacitor:
C
C ESR
R
mF m
k
nF
OC
OUT
TOTAL
=
×
=
×Ω
=
548
91
26
.
.
.
(31)
The closest standard value for C
OC
is 2.7 nF.
(28)
VV
IRn
VV
L
tR n
VV
Am V V
H
ns m V
GNL GNL
L RIPPLE SENSE I
IN VID
D SENSE I
GNL
=+
××
×× ×
=+
×Ω×
µ
×××
=
0
2
1
38 4 25
2
517
15
75 4 25 1 174
()
. .
.
.
(29)
(30)
REV. A
ADP3158/ADP3178
–12–
Trade-Offs Between DC Load Regulation and AC Load
Regulation
Casual observation of the circuit operatione.g., with a voltmeter
would make it appear that the dc load regulation appears to
be rather poor compared to a conventional regulator (see Figure
4). This would be especially noticeable under very light or very
heavy loads where the voltage is positioned near one of the
extremes of the regulation window rather than near the nominal
center value. It must be noted and understood that this low gain
characteristic (i.e., loose dc load regulation) is inherently required
to allow improved transient containment (i.e., to achieve tighter
ac load regulation). That is, the dc load regulation is intentionally
sacrificed (but kept within specification) in order to minimize
the number of capacitors required to contain the load transients
produced by the CPU.
68pF
2.5V
ADP3158/
ADP3178
1k
R
S
250m
1F
3.3V
100F
V
LR2
2.5V, 2.2A
LRDRV1
LRFB1
10k
Figure 6. Adding Overcurrent Protection to the
Linear Regulator
Linear Regulators
The two linear regulators provide a low cost, convenient, and
versatile solution for generating additional supply rails. The
maximum output load current is determined by the size and
thermal impedance of the external N-channel power MOSFET
that is placed in series with the supply. The output voltage is
sensed at the LRFB pin and compared to an internal reference
voltage in a negative feedback loop which keeps the output voltage
in regulation. If the load is reduced or increased, the MOSFET
drive will also be reduced or increased by the controller IC to
provide a well-regulated ±2.5% accurate output voltage.
The LRFB threshold of the ADP3158 are internally set at 2.5 V
(LRFB1) and 1.8 V (LRFB2), while the LRFB pins of the
ADP3178 are compared to an internal 1 V reference. This allows
the use of an external resistor divider network to program the linear
regulator output voltage. The correct resistor values for setting the
output voltage of the linear regulators in the ADP3178 can be
determined using:
VV
RR
R
OUT LR LRFB
UL
L
()
+
(32)
Assuming that R
L
= 10 k, V
OUT(LR)
= 1.2 V and rearranging
Equation 32 to solve for R
U
yields:
R
kV V
V
R
kVV
V
k
U
OUT LR LRFB
LRFB
U
=
×−
()
=
×−
()
=
10
10 1 2 1
1
2
()
.
(33)
Efficiency of the Linear Regulators
The efficiency and corresponding power dissipation of each
of the linear regulators are not determined by the controller
IC. Rather, these are a function of input and output voltage and
load current. Efficiency is approximated by the formula:
η= ×100%
V
V
OUT
IN
(34)
The corresponding power dissipation in the MOSFET, together
with any resistance added in series from input to output, is given by:
PVVI
LDO IN OUT OUT
( )
(35)
Minimum power dissipation and maximum efficiency are accom-
plished by choosing the lowest available input voltage that exceeds
the desired output voltage. However, if the chosen input source
is itself generated by a linear regulator, its power dissipation will
be increased in proportion to the additional current it must
now provide.
Implementing Current Limit for the Linear Regulators
The circuit of Figure 4 gives an example of a current limit pro-
tection circuit that can be used in conjunction with the linear
regulators. The output voltage is internally set by the LRFB
pin. The value of the current sense resistor may be calculated
as follows:
R
mV
I
mV
A
m
S
O MAX
≅==
540 540
22
250
()
.
(36)
The power rating of the current sense resistor must be at least:
PRI W
DR
S
SOMAX() ( )
. =
2
12
(37)
The maximum linear regulator MOSFET junction temperature
with a shorted output is:
TT VI
TCCWVAC
MAX A C IN O MAX
MAX
JJ
J
() ()
()
()
(. / (. . )
=+ × ×
+ ° × ×
θ
50 14 33 22 60
(38)
which is within the maximum allowed by the MOSFETs data
sheet specification. The maximum MOSFET junction tempera-
ture at nominal output is:
TT VVI
TCCWVVAC
NOM A C IN OUT O NOM
NOM
JJ
J
() ()
()
(( ))
(. / (. .) )
=+ × ×
+ ° × × = °
θ
50 14 33 25 2 52
(39)
This example assumes an infinite heatsink. The practical limita-
tion will be based on the actual heatsink used.

ADP3178JRZ-REEL7

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ON Semiconductor
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IC REG CTRLR INTEL 2OUT 16SOIC
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