10
Rev. 1.7
07/16/02
IRU3004
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APPLICATION INFORMATION
An example of how to calculate the components for the
application circuit is given below.
Assuming, two sets of output conditions that this regu-
lator must meet:
The regulator design will be done such that it meets the
worst case requirement of each condition.
Output Capacitor Selection
The first step is to select the output capacitor. This is
done primarily by selecting the maximum ESR value
that meets the transient voltage budget of the total DVo
specification. Assuming that the regulators DC initial
accuracy plus the output ripple is 2% of the output volt-
age, then the maximum ESR of the output capacitor is
calculated as:
The Sanyo MVGX series is a good choice to achieve
both the price and performance goals. The 6MV1500GX,
1500mF, 6.3V has an ESR of less than 36mV typical.
Selecting 6 of these capacitors in parallel has an ESR
of 6mV which achieves our low ESR goal.
Other type of Electrolytic capacitors from other manu-
facturers to consider are the Panasonic FA series or the
Nichicon PL series.
Reducing the Output Capacitors Using Voltage Level
Shifting Technique
The trace resistance or an external resistor from the output
of the switching regulator to the Slot 1 can be used to
the circuit advantage and possibly reduce the number of
output capacitors, by level shifting the DC regulation point
when transition from light load to full load and vice versa.
To accomplish this, the output of the regulator is typi-
cally set about half the DC drop that results from light
load to full load. For example, if the total resistance from
the output capacitors to the Slot 1 and back to the Gnd
pin of the device is 5mV and if the total DI, the change
from light load to full load is 14A, then the output voltage
measured at the top of the resistor divider which is also
connected to the output capacitors in this case, must
be set at half of the 70mV or 35mV higher than the DAC
voltage setting. This intentional voltage level shifting
during the load transient eases the requirement for the
output capacitor ESR at the cost of load regulation. One
can show that the new ESR requirement eases up by
half the total trace resistance. For example, if the ESR
requirement of the output capacitors without voltage level
shifting must be 7mV, then after level shifting the new
ESR will only need to be 9.5mV if the trace resistance
is 5mV (7 + 5/2=9.5). However, one must be careful that
the combined “voltage level shifting” and the transient
response is still within the maximum tolerance of the
Intel specification. To insure this, the maximum trace
resistance must be less than:
Where:
Rs = Total maximum trace resistance allowed
Vspec = Intel total voltage specification
Vo = Output voltage
DVo = Output ripple voltage
DI = load current step
For example, assuming:
Vspec = ±140mV = ±0.1V for 2V output
Vo = 2V
DVo = assume 10mV = 0.01V
DI = 14.2A
Then the Rs is calculated to be:
However, if a resistor of this value is used, the maximum
power dissipated in the trace (or if an external resistor is
being used) must also be considered. For example if
Rs=12.6mV, the power dissipated is:
This is a lot of power to be dissipated in a system. So, if
the Rs=5mV, then the power dissipated is about 1W
which is much more acceptable. If level shifting is not
implemented, then the maximum output capacitor ESR
was shown previously to be 7mV which translated to 6
of the 1500mF, 6MV1500GX type Sanyo capacitors. With
Rs=5mV, the maximum ESR becomes 9.5mV which is
equivalent to 4 caps. Another important consideration
is that if a trace is being used to implement the resistor,
the power dissipated by the trace increases the case
temperature of the output capacitors which could seri-
ously effect the life time of the output capacitors.
a) Vo=2.8V, Io=14.2A, DVo=185mV, DIo=14.2A
b) Vo=2V, Io=14.2A, DVo=140mV, DIo=14.2A
ESR [ = 7mV
100
14.2
Rs [ 2 3
(Vspec - 0.02 3 Vo - DVo)
DI
Rs [ 2 3 = 12.6mV
(0.140 - 0.02 3 2 - 0.01)
14.2
Io
2
3Rs = 14.2
2
312.6 = 2.54W
IRU3004
11
Rev. 1.7
07/16/02
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Output Inductor Selection
The output inductance must be selected such that un-
der low line and the maximum output voltage condition,
the inductor current slope times the output capacitor
ESR is ramping up faster than the capacitor voltage is
drooping during a load current step. However, if the in-
ductor is too small, the output ripple current and ripple
voltage become too large. One solution to bring the ripple
current down is to increase the switching frequency,
however that will be at the cost of reduced efficiency and
higher system cost. The following set of formulas are
derived to achieve the optimum performance without
many design iterations.
The maximum output inductance is calculated using the
following equation:
Where:
VIN(MIN) = Minimum input voltage
Vo = 2.8V , DI = 14.2A
Assuming that the programmed switching frequency is
set at 200KHz, an inductor is designed using the
Micrometals’ powder iron core material. The summary
of the design is outlined below:
The selected core material is Powder Iron, the selected
core is T50-52D from Micro Metal wound with 8 turns of
#16 AWG wire, resulting in 3mH inductance with 3mV
of DC resistance.
Assuming L=3mH and Fsw=200KHz (switching fre-
quency), the inductor ripple current and the output ripple
voltage is calculated using the following set of equations:
In our example for Vo=2.8V and 14.2A load, assuming
IRL3103 MOSFET for both switches with maximum on-
resistance of 19mV, we have:
Power Component Selection
Assuming IRL3103 MOSFETs as power components,
we will calculate the maximum power dissipation as fol-
lows:
For high-side switch the maximum power dissipation
happens at maximum Vo and maximum duty cycle.
For synchronous MOSFET, maximum power dissipa-
tion happens at minimum Vo and minimum duty cycle.
Heat Sink Selection
Selection of the heat sink is based on the maximum
allowable junction temperature of the MOSFETS. Since
we previously selected the maximum RDS(on) at 1258C,
then we must keep the junction below this temperature.
Selecting TO-220 package gives uJC=1.88C/W (from the
venders’ data sheet) and assuming that the selected
heat sink is black anodized, the heat-sink-to-case ther-
mal resistance is uCS=0.058C/W, the maximum heat sink
temperature is then calculated as:
1.9
3
1
200000
2.8 + 0.27
5 - 0.27 + 0.27
T = = 5ms
Vsw = Vsync = 14.2 3 0.019 = 0.27V
D = 0.61
TON = 0.61 3 5 = 3.1ms
TOFF = 5 - 3.1 = 1.9ms
DIr = (2.8 + 0.27) 3 = 1.94A
DVo = 1.94 3 0.006 = 0.011V = 11mV
Ts = TJ - PD 3 (uJC + uCS)
Ts = 125 - 3.82 3 (1.8 + 0.05) = 1188C
L = 0.006390003 = 3.7mH
4.75 - 2.8
2314.2
( )
L = ESR3C3
VIN(MIN) - Vo(MAX)
2 3 I
( )
T Switching Period
D Duty Cycle
Vsw High side Mosfet ON Voltage
RDS Mosfet On Resistance
Vsync Synchronous MOSFET ON Voltage
DIr Inductor Ripple Current
DVo Output Ripple Voltage
TON = D3T
TOFF = T - TON
DVo = DIr3ESR
DIr = (Vo + Vsync)3
TOFF
L
D
Vo + Vsync
VIN - Vsw + Vsync
T =
1
Fsw
Vsw = Vsync = Io3RDS
DMAX = 0.65
PDH = DMAX 3 Io
2
3 RDS(MAX)
PDH = 0.65 3 14.2
2
3 0.029 = 3.8W
RDS(MAX) = Maximum RDS(ON) of the MOSFET (1258C)
(2.8 + 0.27)
(4.75 - 0.27 + 0.27)
DMIN = 0.43
PDS = (1 - DMIN) 3 Io
2
3 RDS(MAX)
PDS = (1 - 0.43) 3 14.2
2
3 0.029 = 3.33W
(2 + 0.27)
(5.25 - 0.27 + 0.27)
12
Rev. 1.7
07/16/02
IRU3004
www.irf.com
With the maximum heat sink temperature calculated in
the previous step, the heat-sink-to-air thermal resistance
(uSA) is calculated as follows:
Assuming TA = 358C:
Next, a heat sink with lower uSA than the one calculated
in the previous step must be selected. One way is to
simply look at the graphs of the “Heat Sink Temp Rise
Above the Ambient” vs. the “Power Dissipation” given in
the heat sink manufacturers’ catalog and select a heat
sink that results in lower temperature rise than the one
calculated in previous step. The following heat sinks from
AAVID and Thermalloy meet this criteria.
Company Part #
Thermalloy............................6078B
AAVID..................................577002
Following the same procedure for the Schottky diode
results in a heat sink with uSA=258C/W. Although it is
possible to select a slightly smaller heat sink, for sim-
plicity, the same heat sink as the one for the high side
MOSFET is also selected for the synchronous MOSFET.
Switcher Current Limit Protection
The PWM controller uses the MOSFET RDS(ON) as the
sensing resistor to sense the MOSFET current and com-
pares to a programmed voltage which is set externally
via a resistor (Rcs) placed between the drain of the
MOSFET and the “CS+” terminal of the IC as shown in
the application circuit. For example, if the desired cur-
rent limit point is set to be 22A and from our previous
selection, the maximum MOSFET RDS(ON)=19mV, then
the current sense resistor, Rcs is calculated as:
Where:
IB = 200mA is the internal current setting of the de-
vice
Switcher Timing Capacitor Selection
The switching frequency can be programmed using an
external timing capacitor. The value of Ct can be ap-
proximated using the equation below:
Where:
Ct = Timing Capacitor
Fsw = Switching Frequency
If Fsw = 200KHz:
LDO Power MOSFET Selection
The first step in selecting the power MOSFET for the
linear regulators is to select its maximum RDS(ON) based
on the input to output Dropout voltage and the maximum
load current.
For Vo = 1.5V, VIN
= 3.3V and IL = 2A:
Note that since the MOSFETs RDS(ON) increases with
temperature, this number must be divided by 1.5, in
order to find the RDS(on) max at room temperature. The
Motorola MTP3055VL has a maximum of 0.18V RDS(ON)
at room temperature, which meets our requirement.
To select the heat sink for the LDO MOSFET the first
step is to calculate the maximum power dissipation of
the device and then follow the same procedure as for the
switcher.
Where:
PD = Power Dissipation of the Linear Regulator
IL = Linear Regulator Load Current
For the 1.5V and 2A load:
Assuming TJ(max) = 1258C then:
uSA = = = 228C/W
DT
PD
83
3.82
DT = Ts - TA = 118 - 35 = 838C
Temperature Rise Above Ambient
Vcs = ICL 3 RDS = 22 3 0.019 = 0.418V
Rcs = = = 2.1KV
0.418V
200mA
Vcs
IB
Fsw yy
3.5 3 10
-5
Ct
Ct yy = 175pF
3.5 3 10
-5
200 3 10
3
PD = (VIN - Vo) 3 IL
PD = (3.3 - 1.5) 3 2 = 3.6W
Ts = TJ - PD 3 (uJC + uCS)
Ts = 125 - 3.6 3 (1.8 + 0.05) = 118°C
RDS(max) = = = 0.9V
(VIN - Vo)
IL
(3.3 - 1.5)
2

IRU3004CWTR

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IC REG CTRLR INTEL 3OUT 20SOIC
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