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LTC7803 Datasheet(PDF) 21 Page - Analog Devices

Part # LTC7803
Description  40V, Low IQ, 3MHz, Triple Output Buck/Buck/Boost Synchronous Controller
PDF  44 Pages
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Manufacturer  AD [Analog Devices]
Direct Link  http://www.analog.com
Logo AD - Analog Devices

LTC7803 Datasheet(HTML) 21 Page - Analog Devices

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LTC7817
21
Rev 0
For more information www.analog.com
APPLICATIONS INFORMATION
The sense resistor values are:
R1
=
R1 R2
RD
; R2
=
R1• RD
1
� RD
The maximum power loss in R1 is related to duty cycle.
For the buck controllers, the maximum power loss occurs
in continuous mode at the maximum input voltage:
PLOSS R1=
(VIN(MAX) � VOUT) • VOUT
R1
For the boost controller, the maximum power loss occurs
in continuous mode at VIN = VOUT/2:
PLOSS R1=
(VOUT(MAX) � VIN) • VIN
R1
Ensure that R1 has a power rating higher than this value.
If high efficiency is necessary at light loads, consider this
power loss when deciding whether to use DCR sensing
or sense resistors. Light load power loss can be mod-
estly higher with a DCR network than with a sense resis-
tor, due to the extra switching losses incurred through
R1. However, DCR sensing eliminates a sense resistor,
reduces conduction losses and provides higher efficiency
at heavy loads. Peak efficiency is about the same with
either method.
Setting the Operating Frequency
Selection of the operating frequency is a trade-off between
efficiency and component size. High frequency operation
allows the use of smaller inductor and capacitor values.
Operation at lower frequencies improves efficiency by
reducing gate charge and transition losses, but requires
larger inductance values and/or more output capacitance
to maintain low output ripple voltage.
In higher voltage applications transition losses contrib-
ute more significantly to power loss, and a good balance
between size and efficiency is generally achieved with a
switching frequency between 300kHz and 900kHz. Lower
voltage applications benefit from lower switching losses
and can therefore more readily operate at higher switching
frequencies up to 3MHz if desired.
If the external (R1||R2) • C1 time constant is chosen to be
exactly equal to the L/DCR time constant, the voltage drop
across the external capacitor is equal to the drop across
the inductor DCR multiplied by R2/(R1+R2). R2 scales the
voltage across the sense terminals for applications where
the DCR is greater than the target sense resistor value.
To properly dimension the external filter components, the
DCR of the inductor must be known. It can be measured
using a good RLC meter, but the DCR tolerance is not
always the same and varies with temperature; consult
the manufacturers’ data sheets for detailed information.
Using the maximum inductor current (IL(MAX)) and ripple
current (ΔIL) from the Inductor Value Calculation section,
the target sense resistor value is:
RSENSE(EQUIV) �
VSENSE(MAX)
IL(MAX)+
� IL
2
To ensure that the application will deliver full load cur-
rent over the full operating temperature range, choose
the minimum value for VSENSE(MAX) in the Electrical
Characteristics table.
Next, determine the DCR of the inductor. When provided,
use the manufacturer’s maximum value, usually given at
20°C. Increase this value to account for the temperature
coefficient of copper resistance, which is approximately
0.4%/°C. A conservative value for TL(MAX) is 100°C. To
scale the maximum inductor DCR to the desired sense
resistor value (RD), use the divider ratio:
RD =
RSENSE(EQUIV)
DCRMAX at TL(MAX)
C1 is usually selected to be in the range of 0.1μF to 0.47μF.
This forces R1||R2 to around 2k, reducing error that might
have been caused by the SENSE+ pin’s ≈1μA current.
The target equivalent resistance R1||R2 is calculated from
the nominal inductance, C1 value, and DCR:
R1 R2 =
L
(DCR at 20
°C) • C1



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