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LTC3872-1 Datasheet(PDF) 11 Page - Linear Technology

Part # LTC3872-1
Description  No RSENSE Current Mode Boost DC/DC Controller
Download  20 Pages
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Manufacturer  LINER [Linear Technology]
Direct Link  http://www.linear.com
Logo LINER - Linear Technology

LTC3872-1 Datasheet(HTML) 11 Page - Linear Technology

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LTC3872-1
11
38721f
For more information www.linear.com/LTC3872-1
Calculating Power MOSFET Switching and Conduction
Losses and Junction Temperatures
In order to calculate the junction temperature of the power
MOSFET,thepowerdissipatedbythedevicemustbeknown.
This power dissipation is a function of the duty cycle, the
load current and the junction temperature itself (due to
the positive temperature coefficient of its RDS(ON)). As a
result, some iterative calculation is normally required to
determineareasonablyaccuratevalue.Sincethecontroller
is using the MOSFET as both a switching and a sensing
element, care should be taken to ensure that the converter
is capable of delivering the required load current over all
operating conditions (line voltage and temperature), and
for the worst-case specifications for VSENSE(MAX) and the
RDS(ON) of the MOSFET listed in the manufacturer’s data
sheet.
ThepowerdissipatedbytheMOSFETinaboostconverteris:
PFET =
IO(MAX)
1– DMAX
2
• RDS(ON) •DMAX • ρT
+k • VO 1.85
IO(MAX)
1– DMAX
(
)
• CRSS • f
The first term in the equation above represents the I2R
losses in the device, and the second term, the switching
losses.Theconstant,k=1.7,isanempiricalfactorinversely
related to the gate drive current and has the dimension
of 1/current.
From a known power dissipated in the power MOSFET, its
junction temperature can be obtained using the following
formula:
TJ = TA + PFET • RTH(JA)
The RTH(JA) to be used in this equation normally includes
the RTH(JC) for the device plus the thermal resistance from
the case to the ambient temperature (RTH(CA)). This value
of TJ can then be compared to the original, assumed value
used in the iterative calculation process.
Output Diode Selection
To maximize efficiency, a fast switching diode with low
forwarddropandlowreverseleakageisdesired.Theoutput
diode in a boost converter conducts current during the
switch off-time. The peak reverse voltage that the diode
must withstand is equal to the regulator output voltage.
The average forward current in normal operation is equal
to the output current, and the peak current is equal to the
peak inductor current.
ID(PEAK) =IL(PEAK) = 1+
χ
2
IO(MAX)
1–DMAX
The power dissipated by the diode is:
PD = IO(MAX) • VD
and the diode junction temperature is:
TJ = TA + PD • RTH(JA)
The RTH(JA) to be used in this equation normally includes
the RTH(JC) for the device plus the thermal resistance from
the board to the ambient temperature in the enclosure.
Remember to keep the diode lead lengths short and to
observe proper switch-node layout (see Board Layout
Checklist) to avoid excessive ringing and increased dis-
sipation.
Output Capacitor Selection
Contributions of ESR (equivalent series resistance), ESL
(equivalent series inductance) and the bulk capacitance
mustbeconsideredwhenchoosingthecorrectcomponent
for a given output ripple voltage. The effects of these three
parameters (ESR, ESL and bulk C) on the output voltage
ripple waveform are illustrated in Figure 6e for a typical
boost converter.
The choice of component(s) begins with the maximum
acceptable ripple voltage (expressed as a percentage of
the output voltage), and how this ripple should be divided
between the ESR step and the charging/discharging
DV.
For the purpose of simplicity we will choose 2% for the
maximum output ripple, to be divided equally between the
ESRstepandthecharging/discharging
DV.Thispercentage
ripple will change, depending on the requirements of the
application, and the equations provided below can easily
be modified.
For a 1% contribution to the total ripple voltage, the ESR
of the output capacitor can be determined using the fol-
lowing equation:
ESRCOUT
0.01• VO
IIN(PEAK)
applicaTions inForMaTion


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