LTC3203/LTC3203-1
LTC3203B/LTC3203B-1
10
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Power Efficiency
The power efficiency (η) of the LTC3203/LTC3203-1/
LTC3203B/LTC3203B-1 in 1.5x mode 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 1.5x fractional charge pump is approxi-
mately 1.5 times the load current. In an ideal regulating
1.5x charge pump the power efficiency would be given by:
η
15
15 15
.
..
XIdeal
OUT
IN
OUT OUT
IN OUT
OUT
IN
P
P
VI
VI
V
V
==
=
Similarly, in 2x mode, the efficiency is similar to that of a
linear regulator with an effective input voltage of twice the
actual input voltage. In an ideal regulating voltage doubler
the power efficiency would be given by:
η
2
22
XIdeal
OUT
IN
OUT OUT
IN OUT
OUT
IN
P
P
VI
VI
V
V
==
=
At moderate to high output power the switching losses
and quiescent current of the LTC3203/LTC3203-1/
LTC3203B/LTC3203B-1 are negligible and the expression
above is valid.
As evident from the above two equations, with the same
V
IN
, the 1.5x mode will give higher efficiency than the
2x mode.
Programming the LTC3203/LTC3203B Output Voltage
(FB Pin)
While the LTC3203-1/LTC3203B-1 have internal resistive
dividers to program the output voltage, the programmable
LTC3203/LTC3203B may be set to an arbitrary voltage via
an external resistive divider. Since it operates as a voltage
doubling charge pump when MODE is less than V
MODEL
,
it is not possible to achieve output voltages greater than
twice the available input voltage in this case. Similarly,
when MODE is greater than V
MODEH
, the achievable output
voltage is less than 1.5 times the available input voltage.
Figure 1 shows the required voltage divider connection.
Figure 1. Programming the LTC3203/LTC3203B Output Voltage
The voltage divider ratio is given by the expression:
R
R
V
V
or V
R
R
V
OUT
OUT
1
2091
1
1
2
1091= =+
.
•.
Typical values for total voltage divider resistance can
range from several ks up to 1M. The compensation
capacitor (C
FB
) is necessary to counteract the pole caused
by the large valued resistors R1 and R2, and the input
capacitance of the FB pin. For best results, C
FB
should be
5pF for all R1 or R2 greater than 10k and can be omitted
if both R1 and R2 are less than 10k.
The LTC3203/LTC3203B can also be configured to control
a current. In white LED applications the LED current is
programmed by the ratio of the feedback set point voltage
and a sense resistor as shown in Figure 2. The current of
the remaining LEDs is controlled by virtue of their similar-
ity to the reference LED and the ballast voltage across the
sense resistor.
3203 F02
LTC3203/
LTC3203B
V
OUT
FB
GND
C
OUT
• • •
I
LED
=
V
FB
R
X
9, 11
2
5
R
X
R
X
Figure 2. Programming the LTC3203/LTC3203B Output Current
3203 F01
LTC3203/
LTC3203B
C
OUT
V
OUT
FB
GND
R1
R2
2
5
9, 11
C
FB
In this configuration the feedback factor (V
OUT
/I
OUT
)
will be very near unity since the small signal LED imped-
ance will be considerably less than the current setting
LTC3203/LTC3203-1
LTC3203B/LTC3203B-1
11
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resistor R
X
. Thus, this configuration will have the highest
loop gain giving it the lowest closed-loop output resis-
tance. Likewise it will also require the largest amount of
output capacitance to preserve stability.
Effective Open Loop Output Resistance (R
OL
)
The effective open loop output resistance (R
OL
) of a
charge pump is a very important parameter, which deter-
mines its strength. The value of this parameter depends on
many factors such as the oscillator frequency (f
OSC
), the
value of the flying capacitor (C
FLY
), the non-overlap time,
the internal switch resistances (R
S
), and the ESR of the
external capacitors.
Maximum Available Output Current
Figure 3 shows how the LTC3203/LTC3203-1/LTC3203B/
LTC3203B-1 can be modeled as a Thevenin-equivalent
circuit.
Thus the maximum available output current and voltage
can be calculated from the effective open-loop output
resistance, R
OL
, and the effective output voltage, 1.5V
IN
(in 1.5x mode) or 2V
IN
(in 2x mode). From Figure 3, the
available current is given by:
I
VV
R
In x e
OUT
IN OUT
OL
=
15
15
.
.mod
I
VV
R
In x e
OUT
IN OUT
OL
=
2
2mod
As evident from the above two equations, with the same
V
IN
and R
OL
, the 2x mode will give more output current
than the 1.5x mode.
Programming the MODE Pin
By connecting a resistor divider to the MODE pin, the V
IN
voltage at which the chip switches modes can be accu-
rately programmed.
When V
IN
ramps up, the voltage at the MODE pin crosses
V
MODEH
and the chip switches from 2x mode to 1.5x mode.
When V
IN
starts to drop, the voltage at the MODE pin
crosses V
MODEL
and the chip switches back to 2x mode.
The MODE pin resistor ratio must be selected such that at
the switch point the output is still able to maintain regula-
tion at maximum I
OUT
:
1.5 • V
IN(1.5x)
– V
OUT
> I
OUT
• R
OL(1.5X)
The minimum V
IN
operating in 1.5x mode occurs at the
switch point where:
VV
R
R
IN MODEL
MODE
MODE
=+
1
2
1
therefore:
Figure 3. Charge Pump Open-Loop Thevenin-Equivalent Circuit
3203 F03
+
1.5V
IN
OR
2V
IN
R
OL
V
OUT
+
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3203 F04
LTC3203/
LTC3203B
C
IN
V
IN
MODE
GND
R
MODE1
R
MODE2
7
6
9, 11
Figure 4
LTC3203/LTC3203-1
LTC3203B/LTC3203B-1
12
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U
For the example given, a 5V output setting with ±4% output
tolerance and maximum load current of 500mA, a resistor
ratio of:
R
R
MODE
MODE
1
2
4>
at the MODE pin allows the chip to switch modes while
maintaining regulation.
V
IN
, V
OUT
Capacitor Selection
The style and value of capacitors used with the
LTC3203/LTC3203-1/LTC3203B/LTC3203B-1 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) multilayer ceramic chip
capacitors (MLCCs) be used for both C
IN
and C
OUT
. Tanta-
lum and aluminum capacitors are not recommended be-
cause of their high ESR.
In 1.5x mode, 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 cur-
rent. The peak-to-peak output ripple for 1.5x mode is given
by the expression:
V
I
fC
RIPPLE P P
OUT
OSC OUT
()
=
3
where f
OSC
is the LTC3203/LTC3203-1/LTC3203B/
LTC3203B-1’s oscillator frequency (typically 0.9MHz) and
C
OUT
is the output charge storage capacitor.
In 2x mode, the output ripple is very low due to the out-of-
phase operation of the two flying capacitors. V
OUT
remains
almost flat when either of the flying capacitors is connected
to V
OUT
.
Both the type and value of the output capacitor can signifi-
cantly affect the stability of the LTC3203/LTC3203-1/
LTC3203B/LTC3203B-1. As shown in the Block Diagram,
the LTC3203/LTC3203-1/LTC3203B/LTC3203B-1 use 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 capaci-
tor to maintain at least 4.7µF of capacitance over all
conditions. Note that the actual capacitance of ceramic
capacitors usually drops when biased with DC voltage.
Different capacitor types drop to different extents. Make
sure that the selected ceramic capacitors have enough
capacitance when biased with the required DC voltage.
Likewise, excessive ESR on the output capacitor will tend
to degrade the loop stability of the LTC3203/LTC3203-1/
LTC3203B/LTC3203B-1. The closed-loop output resis-
tance of the LTC3203/LTC3203-1/LTC3203B/LTC3203B-
1 are designed to be 0.27 (at 1.5x mode). For a 100mA
load current change, the output voltage will change by
about 27mV. If the output capacitor has 0.27 or more of
ESR, the closed-loop frequency response will cease to
roll-off in a simple one-pole fashion and poor load tran-
sient response or instability could result. Multilayer ce-
ramic chip capacitors typically have exceptional ESR per-
formance and, combined with a good 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 LTC3203/
LTC3203-1/LTC3203B/LTC3203B-1 will be relatively con-
stant while the charge pump is on either the input charging
phase or the output charging phase but will drop to zero
during the clock non-overlap times. Since the non-overlap
time is small (~40ns) 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 by the amount of the input
current change times the ESR. Therefore ceramic
capacitors are again recommended for their exceptional
ESR performance. Further input noise reduction can be
achieved by powering the LTC3203/LTC3203-1/LTC3203B/
LTC3203B-1 through a very small series inductor as
shown in Figure 5.

LTC3203EDD#TRPBF

Mfr. #:
Manufacturer:
Analog Devices / Linear Technology
Description:
Switching Voltage Regulators 500mA Out C L N 2x Mode Boost Ch Pumps
Lifecycle:
New from this manufacturer.
Delivery:
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