LTC3202EDD#PBF

7
LTC3202
3202fa
In this configuration the feedback factor (V
FB
/V
OUT
) will
be very near unity since the small signal LED impedance
will be considerably less than the current setting resistor
R
X
. Thus, this configuration will have the highest
loop gain
giving it the lowest closed-loop output resistance. Like-
wise it will also require the largest amount of output
capacitance to preserve stability.
For fixed voltage applications, the output voltage can be
set by the ratio of two resistors and the feedback control
voltage as shown in Figure 2. The output voltage is given
by the set point voltage times the gain factor 1 + R
1
/R
2
.
Note that the closed-loop output resistance will increase in
proportion to the loop gain consumed by the resistive
divider ratio. For example, if the resistor ratio is 2:1 giving
a gain of 3, the closed-loop output resistance will be about
3 times higher than its nominal gain of 1 value. Given that
the closed-loop output resistance is about 0.35 with a
gain of 1, the closed-loop output resistance will be about
1 when using a gain of 3.
Figure 2. Voltage Control Mode
Charge Pump Strength
Figure 3 shows how the LTC3202 can be modeled as a
Thevenin equivalent circuit to determine the amount of
current available from the effective input voltage, 1.5V
IN
and the effective open-loop output resistance, R
OL
.
Figure 3. Equivalent Open-Loop Circuit
Figure 4. Typical R
OL
vs Temperature
3202 F02
LTC3202
V
OUT
FB
GND
V
OUT
= V
FB
(1 + )
R1
R2
1µF
R1
R2
5, 11
3
2
3202 F03
+
1.5V
IN
R
OL
V
OUT
+
OPERATIO
U
(Refer to Simplified Block Diagram)
From Figure 3 the available current is given by:
I
VV
R
OUT
IN OUT
OL
=
15.–
Typical values of R
OL
as a function of temperature are
shown in Figure 4.
When using the LTC3202 in voltage control mode, any of
the three voltage settings (0.2V, 0.4V or 0.6V) can be used
as the set point voltage. For optimum noise performance
and lowest closed-loop output resistance the highest
voltage setting will likely be the most desirable.
Typical values for total voltage divider resistance can
range from several ks up to 1M.
TEMPERATURE (°C)
–40
OUTPUT RESISTANCE ()
4.8
4.6
4.4
4.2
4.0
3.8
60
3202 F04
–15
10
35
85
V
FB
= 0
I
L
= 100mA
C1 = C2 = 1µF
R
OL
= (1.5V
IN
– V
OUT
)/I
L
V
IN
= 2.7V
V
IN
= 3.6V
8
LTC3202
3202fa
R
OL
is dependent on a number of factors including the
switching term, 1/(2f
OSC
C
FLY
), internal switch resis-
tances and the nonoverlap period of the switching circuit.
However, for a given R
OL
, the amount of current available
will be directly proportional to the
advantage voltage
1.5V
IN
– V
OUT
. This voltage can typically be quite small.
Consider the example of driving white LEDs from a
3.1V supply. If the LED forward voltage is 3.8V and the
0.6V V
FB
setting is used, the advantage voltage is 3.1V •
1.5V – 3.8V – 0.6V or only 250mV. However if the input
voltage is raised to 3.2V the advantage voltage jumps to
400mV—a 60% improvement in available strength! Note
that a similar improvement in advantage voltage can be
achieved by operating the LTC3202 at a lower voltage
setting such as the 0.4V setting.
V
IN
, V
OUT
Capacitor Selection
The style and value of capacitors used with the LTC3202
determine several important parameters such as regulator
control loop stability, output ripple, charge pump strength
and minimum start-up time.
To reduce noise and ripple, it is recommended that low
equivalent series resistance (ESR) ceramic capacitors be
used for both C
IN
and C
OUT
. Tantalum and aluminum
capacitors are not recommended because of their high␣ ESR.
The value of C
OUT
directly controls the amount of output
ripple for a given load current. Increasing the size of C
OUT
will reduce the output ripple at the expense of higher
minimum turn-on time and higher start-up current. The
peak-to-peak output ripple is approximately given by the
expression:
V
I
fC
RIPPLEP P
OUT
OSC OUT
3•
Where f
OSC
is the LTC3202’s oscillator frequency (typi-
cally 1.5MHz) and C
OUT
is the output charge storage
capacitor.
Both the style and value of the output capacitor can
significantly affect the stability of the LTC3202. As shown
in the block diagram, the LTC3202 uses a control loop to
adjust the strength of the charge pump to match the
current required at the output. The error signal of this loop
is stored directly on the output charge storage capacitor.
The charge storage capacitor also serves to form the
dominant pole for the control loop. To prevent ringing or
instability, it is important for the output capacitor to
maintain at least 0.6µF of capacitance over all conditions.
Likewise, excessive ESR on the output capacitor will tend
to degrade the loop stability of the LTC3202. The closed-
loop output resistance of the LTC3202 is designed to be
0.35. For a 100mA load current change, the feedback
voltage will change by about 35mV. If the output capacitor
has 0.35 or more of ESR the closed-loop frequency
response will cease to roll-off in a simple one-pole fashion
and poor load transient response or instability could
result. Multilayer ceramic chip capacitors typically have
exceptional ESR performance and combined with a tight
board layout should yield very good stability and load
transient performance.
As the value of C
OUT
controls the amount of output ripple,
the value of C
IN
controls the amount of ripple present at the
input pin (V
IN
). The input current to the LTC3202 will be
relatively constant while the charge pump is on either the
input charging phase or the output charging phase but will
drop to zero during the clock nonoverlap times. Since the
nonoverlap time is small (~25ns) these missing “notches”
will result in only a small perturbation on the input power
supply line. Note that a higher ESR capacitor such as
tantalum will have higher input noise due to the input
current change times the ESR. Therefore ceramic capaci-
tors are again recommended for their exceptional ESR
performance.
Further input noise reduction can be achieved by powering
the LTC3202 through a very small series inductor as
shown in Figure 5. A 10nH inductor will reject the fast
current notches, thereby presenting a nearly constant
current load to the input power supply. For economy the
10nH inductor can be fabricated on the PC board with
about 1cm (0.4") of PC board trace.
OPERATIO
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9
LTC3202
3202fa
Flying Capacitor Selection
Warning: A polarized capacitor such as tantalum or alumi-
num should never be used for the flying capacitors since
their voltage can reverse upon start-up of the LTC3202.
Ceramic capacitors should always be used for the flying
capacitors.
The flying capacitor controls the strength of the charge
pump. In order to achieve the rated output current it is
necessary to have at least 0.7µF of capacitance for each of
the flying capacitors.
Capacitors of different materials lose their capacitance
with higher temperature and voltage at different rates. For
example, a ceramic capacitor made of X7R material will
retain most of its capacitance from –40°C to 85°C whereas
a Z5U or Y5V style capacitor will lose considerable capaci-
tance over that range. Z5U and Y5V capacitors may also
have a very poor voltage coefficient causing them to lose
60% or more of their capacitance when the rated voltage
is applied. Therefore, when comparing different capaci-
tors it is often more appropriate to compare the amount of
achievable capacitance for a given case size rather than
comparing the specified capacitance value. For example,
over rated voltage and temperature conditions, a 1µF, 10V,
Y5V ceramic capacitor in a 0603 case may not provide any
more capacitance than a 0.22µF, 10V, X7R available in the
same 0603 case. The capacitor manufacturer’s data sheet
should be consulted to determine what value of capacitor
is needed to ensure minimum capacitances at all tempera-
tures and voltages.
Table 2 shows a list of ceramic capacitor manufacturers
and how to contact them:
Table 2 Recommended Capacitor Vendors
AVX www.avxcorp.com
Kemet www.kemet.com
Murata www.murata.com
Taiyo Yuden www.t-yuden.com
Vishay www.vishay.com
For very light load applications the flying capacitor may be
reduced to save space or cost. The theoretical minimum
output resistance of a 2:3 fractional charge pump is given
by:
R
VV
IfC
OL MIN
IN OUT
OUT SC FLY
()
.–
≡=
15
1
2
0
Where f
OSC
is the switching frequency (1.5MHz typ) and
C
FLY
is the value of the flying capacitors. Note that the
charge pump will typically be weaker than the theoretical
limit due to additional switch resistance, however for very
light load applications the above expression can be used
as a guideline in determining a starting capacitor value.
Power Efficiency
The power efficiency (η) of the LTC3202 is similar to that
of a linear regulator with an effective input voltage of 1.5
times the actual input voltage. This occurs because the
input current for a 2:3 fractional charge pump is approxi-
mately 1.5 times the load current. In an ideal regulating 2:3
charge pump the power efficiency would be given by:
η
IDEAL
OUT
IN
OUT OUT
IN OUT
OUT
IN
P
P
VI
VI
V
V
≡= =
.
3
2
15
At moderate to high output power the switching losses
and quiescent current of the LTC3202 are negligible and
the expression above is valid. For example with V
IN
= 3.2V,
I
OUT
= 80mA and V
OUT
regulating to 4.2V the measured
efficiency is 82% which is just under the theoretical 87.5%
calculation.
OPERATIO
U
Figure 5. 10nH Inductor Used for Input Noise Reduction
3202 F05
LTC3202
V
IN
V
IN
GND
5, 11
4
0.1µF1µF
10nH

LTC3202EDD#PBF

Mfr. #:
Manufacturer:
Analog Devices / Linear Technology
Description:
Switching Voltage Regulators 120mA Inductorless LED Driver
Lifecycle:
New from this manufacturer.
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