ST AN1893 Application note

AN1893
Application note
Designing with L6925D, high-efficiency monolithic
synchronous step-down regulator
Introduction
This application note details the main features and application advantages of STMicroelectronics’ new synchronous step-down regulator. After describing how the device works and the main features, a step-by-step design section is provided in order to help with the selection of the external components and the evaluation of the losses. The device performances are shown in terms of efficiency and thermal results. In conclusion, some application ideas are proposed.
This new product, realized in BCDV technology, is a high-efficiency monolithic synchronous step-down regulator capable of delivering up to 800 mA of continuous output current and regulating the output voltage from 0.6 V up to V capability. The input voltage ranges from 2.7 V to 5.5 V. The control loop architecture is based on a constant frequency peak current mode, while high efficiency at light loads is achieved by a low consumption functionality. The very low quiescent current (25 µA) and shutdown current (0.2 µA) make the device very suitable to supply battery-powered equipment (particularly suitable for 1 Li-ion cell) like PDAs and hand-held terminals, DSCs (digital still cameras) and cellular phones. The switching frequency is internally set at 600 kHz but the device can be externally synchronized up to 1.4 MHz. An internal reference voltage of 0.6 V (typ), allows the device to regulate minimum output voltage of the same low value. The low MOSFETs R interesting features are: hysteretic UVLO, OVP, constant current short-circuit protection, PGOOD and thermal shutdown. The MSOP8 package allows saving significant board space.
ensures high efficiency at high output current. Additional
DS(on)
thanks to the 100% duty cycle operation
IN

Figure 1. Application test circuit

February 2009 Rev 3 1/29
www.st.com
Contents AN1893
Contents
1 Pin functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
2 Block diagram . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
3 Functional description . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
3.1 LBI (low battery input)/LBO (low battery output) . . . . . . . . . . . . . . . . . . . . 7
3.2 UVLO (undervoltage lockout) operation . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
3.3 Modes of operation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
3.3.1 Low consumption mode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
3.3.2 Low noise mode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
3.4 System stability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
3.4.1 Current loop compensation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
3.4.2 Voltage loop compensation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
4 Short-circuit protection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
4.1 Synchronization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
4.2 DROPOUT operation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
4.3 Adjustable output voltage . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
4.4 OVP (overvoltage protection) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
4.5 Hysteretic thermal shutdown . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
5 Application information . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
5.1 External component selection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
5.1.1 Input capacitor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
5.1.2 Output capacitor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
5.1.3 Inductor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
5.1.4 Compensation network (R
5.2 Losses and efficiency . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
5.2.1 Conduction losses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
5.2.2 Switching losses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
5.2.3 Gate charge losses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
1C3
6 Thermal considerations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
2/29
AN1893 Contents
7 Application board . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
8 Efficiency results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
9 Application ideas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
9.1 Buck boost topology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
9.2 White LEDs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
9.2.1 Driving white LEDs: buck topology . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
9.2.2 Driving white LEDs: boost topology . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
9.2.3 Driving white LEDs: buck-boost topology . . . . . . . . . . . . . . . . . . . . . . . 26
10 Revision history . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
3/29
List of figures AN1893
List of figures
Figure 1. Application test circuit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Figure 2. Pin connections . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
Figure 3. MSOP8 package. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
Figure 4. Block diagram . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
Figure 5. Low consumption mode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
Figure 6. Low noise mode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
Figure 7. Slope compensation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
Figure 8. Equivalent circuit for the voltage loop analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
Figure 9. Equivalent circuits during the ON time . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
Figure 10. Equivalent circuit during the OFF time . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
Figure 11. Valley current limit protection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
Figure 12. Thermal performance results: V
Figure 13. RDS(on) vs. temperature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
Figure 14. Application board . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
Figure 15. Component placement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
Figure 16. Top side view . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
Figure 17. Bottom side view. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
Figure 18. Schematic demonstration board . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
Figure 19. Low noises vs. low consumption efficiencies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
Figure 20. Efficiency vs. output current . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
Figure 21. Efficiency vs. output current . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
Figure 22. Efficiency vs. output current . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
Figure 23. Positive buck boost application. 1 Li-Ion cell to 3.3 V at 0.25 A . . . . . . . . . . . . . . . . . . . . . 24
Figure 24. Buck topology schematic . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
Figure 25. Boost topology schematic . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
Figure 26. Buck-boost topology schematic . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
Figure 27. PWM brightness control . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
Figure 28. Analog brightness control . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
= 3.7 V V
IN
OUT
= 1.8 V I
= 800 mA . . . . . . . . . . . . . . 19
OUT
4/29
AN1893 Pin functions

1 Pin functions

Table 1. Pin description

N. Name Description
Battery low voltage detector input. The internal threshold is set at 0.6 V. The
1 LBI
2 COMP
3 VFB Error amplifier inverting external divider.
4 GND Ground.
5 LX Switches output node. Common point between high side and low side MOSFETs
6
VCC
7 SYNC
8 LBO
external threshold can be adjusted by using an external resistor divider (see
Section 3.1). If not used, the pin can be left floating.
Error amplifier output. A compensation network has to be connected to this pin.
Usually a 220 pF capacitor is enough to guarantee the loop stability (see
Section 3.3.1).
Input voltage. The startup input voltage is 2.8 V (typ) while the operating input
voltage range is from 2.7 V to 5.5 V. An internal UVLO circuit realizes a 200 mV
(typ) hysteresis.
Operating mode selector input. Low consumption mode when connected to a
higher voltage than 1.3 V (up to VCC). Low noise mode when connected to a lower
than 0.5 V (down to GND). Synchronization mode when connected to an external
appropriate clock generator. This pin must not be left floating.
Battery low voltage detector output. If the voltage at the LBI pin drops below the
internal threshold, the LBO pin goes low. The LBO pin is an open drain output. A
pull-up resistor should be connected between the pin and the output voltage. If not
used, the pin can be left floating.

Figure 2. Pin connections

Figure 3. MSOP8 package

5/29
Block diagram AN1893

2 Block diagram

Figure 4. Block diagram

6/29
AN1893 Functional description

3 Functional description

The main loop uses constant frequency peak current mode architecture. Each cycle, the high side MOSFET is turned on, triggered by the oscillator, so that the current flowing through it increases with a slope fixed by the operating conditions. When the sensed current (a part of the high side current) reaches the output value of the error amplifier E/A, COMP pin, the internal logic turns off the high side MOSFET and turns on the low side one until the next clock cycle begins or the current flowing through it goes down to zero (ZERO- CROSSING comparator). During the load transients, the voltage control loop keeps the output voltage in regulation changing the COMP pin value, fixing a new turnoff threshold. Moreover, during these dynamic conditions the choke must not saturate and the inductor peak current must never exceed the maximum value. This value is in function of the internal slope compensation (see Section 3.4.1).

3.1 LBI (low battery input)/LBO (low battery output)

A low battery input pin is available. The pin is internally connected to a comparator with a threshold of 0.6 V. By using an external resistor divider connected between the battery voltage and the ground it is possible to fix a threshold for the battery voltage. When the voltage at the LBI pin goes lower than 0.6 V, the LBO pin is forced low. This feature can be useful for example to have a warning signal when the battery is quite discharged.

3.2 UVLO (undervoltage lockout) operation

The device is particularly designed for equipment powered by a Li-ion battery. These types of batteries are almost fully discharged when their voltage goes lower than approximately 3 V. For this reason, a UVLO is internally set at 2.8 V, with a hysteresis of 200 mV. Thanks to this feature, when the battery is fully discharged, the device automatically turns off.

3.3 Modes of operation

3.3.1 Low consumption mode

At light load, the device operates in burst mode in order to keep the efficiency very high also in these conditions.
While the device is not switching the load discharges the output capacitor and the output voltage goes down. The COMP pin, due to the feedback loop, increases and when a fixed internal threshold is reached, the device starts to switch again. In this condition the peak current limit is set approximately in the range of 200 mA-400 mA, depending on the slope compensation (see Section 3.4.1). Once the device starts to switch the output capacitor is recharged. The repetition time of the bursts depend on parameters like input and output voltages, load, inductor and output capacitors.
Between two bursts, most of the internal circuitries are off, thus reducing the device consumption down to a typical value of 25 µA. During the burst, the frequency of the pulses is equal to the internal frequency.
7/29
Functional description AN1893

3.3.2 Low noise mode

In case the very low frequencies generated by the low consumption mode are undesirable, the low noise mode can be selected. The efficiency is a little bit lower compared with the low consumption mode conditions when working close to zero loads, while the trend is to reach the efficiency of low consumption mode for intermediate light loads.
The device could skip some cycles in order to keep the output voltage in regulation. In
Figure 5 and 6 the LCM and LNM typical waveforms are shown.
Figure 5. Low consumption mode
Figure 6. Low noise mode
Measurement conditions: V C
= 22 µF; RC = 40 k; CC = 330 pF
OUT
= 4.2 V; V
IN
= 1.5 V; I
OUT
= 30 mA; L = 6.8 µH; CIN = 10 µF;
OUT
Figure 19 shows a comparison between the efficiency in low noise mode and the efficiency
in low consumption mode.
8/29
AN1893 Functional description

3.4 System stability

Since the device operates with constant frequency peak current mode architecture, the voltage loop stability is usually not a big issue. For most of the applications a 220 pF connected between the COMP pin and ground is enough to guarantee the stability. In case very low ESR capacitors are used for the output filter, such as multilayer ceramic capacitors, the zero introduced by the capacitor itself can be shifted at a frequency well above the resonance frequency of the L-C filter and the loop stability could be affected.
Adding a series resistor to the 220 pF capacitor can solve this problem. The right value for the resistor can be determined by checking the load transient response voltage waveforms.
The current mode stability can be studied in two consecutive steps; first the inner loop is closed (current loop) and then the second loop stability is considered (voltage loop).

3.4.1 Current loop compensation

The selected control architecture brings many advantages: easy compensation with ceramic capacitors, fast transient response and intrinsic peak current measurement that simplify the current limit protection. A known drawback, however, is that the current loop becomes unstable when the duty cycle exceeds 50%.
This phenomenon is known as "sub-harmonic oscillation" and can be avoided by adding a slope compensation signal. Due to this fact, the current limit of the device decreases when the slope compensation signal is applied. The slope compensation is internally implemented from a duty around 30% and Figure 7 shows how the slope compensation affects the device current limit.
Figure 7. Slope compensation
The amount of slope compensation depends on the inductor current slope during the OFF time. This slope, for a given duty cycle, is inversely proportional to the inductor value. Since the device can be synchronized at a higher frequency, it is reasonable to calculate the inductor value in terms of it. Finally, the input voltage affects the OFF time slope as well. This is obvious because, for a given duty cycle, the output voltage (and so the OFF time inductor current slope) is directly proportional to the input one. In order to better manage these issues, the amount of slope compensation depends not only on the duty cycle but also on the switching frequency and the input voltage.
9/29
Functional description AN1893
Table 2. Suggested inductor values for different switching frequencies, at V
3.6 V and V
FSW [kHz] Minimum inductor value [∝H]
600 6.8
1000 3.6
1400 2.7
OUT
=1.8 V.
Table 3. Suggested inductor values for different switching frequencies, at
V
= 5 V and V
IN
F
[kHz] Minimum inductor value [µH]
SW
600 8.2
1000 5.6
1400 3.6
OUT
=3.3 V
Ta bl e 2 and 3 indicate the minimum inductor values that ensure the current loop stability
with an input voltage of 3.6 V and 5 V. Also there is a maximum inductor value above which the loop can become unstable. For example, if the inductor is too high the LC double pole returns to the bandwidth.

3.4.2 Voltage loop compensation

=
IN
Ideally in a current mode control, after closing the current loop, the pole splitting effect separates the complex double pole due to the inductor and the output capacitor in 2 different poles. The pole due to the inductor shifts out of system bandwidth (i.e. the inductor ideally acts like a current source), while the pole due to the output capacitor remains inside the bandwidth. Figure 8 shows the equivalent circuit used to study the voltage loop compensation:
Figure 8. Equivalent circuit for the voltage loop analysis
10/29
AN1893 Functional description
In Equation 1 the power stage transfer function is shown:
Equation 1
s()
Hs()
V
O
--------------- -
I
L
sCOESR 1+()R
----------------------------------------------------- -==
s()
sCOESR RO+()1+
O
where R
is the output equivalent resistor load (VO/IO) and ESR is the series resistance of
O
the output capacitors. It can be seen that the pole due to the output capacitor shifts in frequency based on the load value.
In order to have zero DC error in the voltage regulation, the feedback voltage loop is implemented with an integrator stage. The transfer function of the signal stage is shown in
Equation 2.
Equation 2
sC
where g
α
g
m
-----------
Gs()
is the integrator transconductance (250 µS). The total gain loop is:
m
A
V
---------------------------- -
=
CRC
sC
1+
C
Equation 3
R
α 1sESRC
+()sCCRC1+()
A
1sCOESR RO+()+()
VsCC
O
where A (R
/(R2+R3).
2
Ogm
G
LOOP
is the current loop factor (1 typ.) and α is the feedback resistor divider ratio
V
s()
--------------------------------------------------------------------------------------------- -=
Once the gain loop is known the system is stabilized with the compensation network as shown in Section 5.1.4.
11/29
Short-circuit protection AN1893

4 Short-circuit protection

The device is provided with two limiting current circuitries, one on the high side and a second on the low side MOSFET.
Due to the peak current mode architecture, the peak current flowing through the high side switch is accurately sensed. When this current reaches the peak current limit threshold, the internal high side MOSFET is turned off. In this way, the ON time, T output voltage decreases. The minimum T
can be around 200 nsec (T
ON
short-circuit, the peak current could further increase because the intervention of the high side limiting current is not fast enough. In this case, the valley current limits eliminate the risks of device failure. To better understand this concept, it's useful to read the below considerations on the current variation through the inductor during the ON and OFF time.
Equation 4
VINV
()
I
ON
----------------------------------
OUT
=
L
T
ON
(ON time slope)
Equation 5
V
OUT
I
OFF
--------------
L
T
=
(OFF time slope)
OFF
, is reduced and the
ON
). In case of
MIN
When V
= 0 V, it can be seen that the inductor current doesn't decrease during the OFF
OUT
time. Therefore the current increases step by step during each cycle. In order to understand when this phenomenon ends, some real parameters must be considered.

Figure 9. Equivalent circuits during the ON time

Figure 10. Equivalent circuit during the OFF time

12/29
AN1893 Short-circuit protection
Considering Figure 9 and 10, in particular during the OFF time, despite the output voltage of zero, the output current generates on the parasitic resistances the voltage drop necessary to produce a negative slope. So, the higher the output current is, the higher the negative slope during the OFF time. In this way, the inductor current finds a stable value. This value is given by:
Equation 6
I
LIM
----------------------------------------------------------------------------------------------------------------------------------------------------- -=
+()1T
R
NRL
VINT
()RPRL+()T
MINFSW
()
MINFSW
()+[]
MINFSW
where T resistance of the low side and high side MOSFETs respectively, R resistance and R conditions, the maximum current value depends both on the application conditions (like V and F
is the minimum ON time, FSW is the switching frequency, RN and RP are the ON
MIN
is the equivalent output resistance. As it can be seen, in these extreme
O
), the inductor parasitic resistor RL, and the MOSFETS R
SW
is the inductor series
L
DS(on) RN
and RP . It does
IN
not depend on the peak current limit at all. In order to limit the output current to a safe value even in extreme short-circuit conditions, a current limit has also been introduced on the low side MOSFET: this operates as a valley current limit, as shown in Figure 11. The high side MOSFET does not turn on until the inductor current exceeds the valley current limit. This implies that, depending on the over current conditions, the device skips some cycles, thus reducing the equivalent switching frequency in order to limit the output current. With this approach, the maximum peak current is definitively limited to:
Equation 7
VINT
I
LIMIVALLEY
MIN
----------------------+=
L

Figure 11. Valley current limit protection

4.1 Synchronization

The device can be synchronized with an external signal from 500 kHz up to 1.4 MHz through the internal PLL. When the device is locked, the external signal and the high side turn-on rising edges are aligned. In this case the low noise mode is automatically selected. The device eventually skips some cycles in very light load conditions depending also on the input/output conditions. The internal synchronization circuit is inhibited in short-circuit and
13/29
Short-circuit protection AN1893
overvoltage conditions in order to keep the involved protections effective. The synchronization signal amplitude can range typically from 1 V to V
and the duty factor can
CC
range typically from 20% to 80%. Sometimes, if the synchronization signal duty cycle is very similar to the application duty factor, noise can be detected on the LX pin. In this case some practical solutions are:
1. Change the synchronization signal duty factor
2. Decrease the synchronization signal amplitude
3. Add 20 pF capacitor between the Comp pin and ground.
The device switches at 600 kHz (typ.) if no synchronization signal is applied.

4.2 DROPOUT operation

When the input voltage is a Li-Ion battery, the voltage ranges from a minimum of 3 V or less to 4.1 V - 4.2 V (depending on the anode material). In case the regulated output voltage is from 2.5 V and 3.3 V, the device can work in linear mode or dropout operation. The minimum input voltage necessary to ensure output regulation can be calculated as:
Equation 8
V
INMIN
---
VOIOR
DS on()HSMAXRL
+()+=
where R
DS(on)_HS_MAX
is the maximum high side resistance and RL is the series inductor
resistance.

4.3 Adjustable output voltage

The output voltage can be adjusted by an external resistor network from a minimum value of
0.6 V up to the V
. The output voltage value is given by:
IN
Equation 9
V
OUT
Thanks to the very low FB leakage current (typ. 25 nA), high R3, R2 values can be chosen in hundreds of k increasing the system efficiency also at very low load.

4.4 OVP (overvoltage protection)

The device has an internal output overvoltage protection. If the output voltage goes higher than 10% of its nominal value, the low side MOSFET is turned on until the output voltage returns inside the nominal value tolerances. During the overvoltage circuit intervention, the zero-crossing comparator is disabled so that the device is also able to sink current.
⎛⎞
0.6 1
=
⎝⎠
R
3
------ -+
R
2

4.5 Hysteretic thermal shutdown

The device has also a thermal shutdown protection activated when the junction temperature rises above 150°C. In this case both the high side MOSFET and the low side one are turned off. Once the junction temperature falls back to about 95 °C, the device restarts normal operation.
14/29
AN1893 Application information

5 Application information

5.1 External component selection

5.1.1 Input capacitor

The input capacitor must be able to support the maximum input operating voltage and the maximum RMS input current. Since step-down converters draw current from the input in pulses, the input current is squared and the height of each pulse is equal to the output current, neglecting the ripple across the inductor.
The RMS input current (flowing through the input capacitor) is:
Equation 10
I
RMSIO
2D2⋅
D
-------------- -
η
2
D
------ -+=
2
η
Where η is the expected system efficiency, D is the duty cycle and I
the output DC current.
O
Supposing η =1 this function reaches its maximum value at D = 0.5 and the equivalent RMS current is equal to I
/2.
O
The maximum and minimum duty cycles are:
Equation 11
V
D
MAX
------------------=
V
INMIN
O
Equation 12
MIN
------------------- -=
V
INMAX
D
V
O
Depending on the output voltage value the worst case can be with the maximum or minimum input battery voltage. Usually the best choice for the input capacitor is the MLCC (multi layer ceramic capacitor) thanks to its very small size and very low ESR. Ta bl e 4 provides a list of some MLCC manufacturers.
Table 4. Recommended input capacitors
Manufacturer Series Cap value (µF) Rated voltage (V) ESR at 600 kHz (m.)
PANASONIC ECJ 10 to 22 6.3 10
TAIYO YUDEN JMK 10 to 22 6.3 10

5.1.2 Output capacitor

The output capacitor is very important to satisfy the output voltage ripple requirement. Very small inductor values reduce size and cost of the application but increase the current ripple. This ripple, multiplied by the ESR of the output capacitor, is the output voltage ripple. Tantalum and ceramic capacitors are usually good for this use. Ceramic capacitors have the lowest ESR for a given size so, for very compact applications they are the best choice. POSCAP capacitors from Sanyo are also a good choice for the output filter.
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Application information AN1893
Ta bl e 5 gives a list of some capacitor manufacturers.
Table 5. Recommended output capacitors
Manufacturer Series Cap value (µF) Rated voltage (V) ESR (m.)
PANASONIC ECJ 10 to 47 6.3 10
PANASONIC EEF 22 to 47 6.3 60 to 90
TAIYO YUDEN JMK 10 to 47 6.3 10
SANYO POSCAP TPA 47 to 100 6.3 80 to 100

5.1.3 Inductor

The inductor value fixes the ripple current flowing through the output capacitor. The ripple current is usually fixed at 20% - 30% of the output current and is approximately obtained by the following formula:
Equation 13
()
V
INVOUT
----------------------------------
L
=
T
I
ON
For example, with V and I
= 600 mA and I = 200 mA, the inductor value is about 6 µH. The peak current
O
= 3.3 V, VIN = 4.2 V (Li-ion battery fully charged), FSW = 600 kHz
OUT
through the inductor is given by:
Equation 14
I
PKIO
I
---- -+=
2
It can be seen that if the inductor value decreases, the peak current (that has to be lower than the current limit of the device) increases. This peak current must be lower than the saturation current of the choke.
This is particularly important when using ferrite cores because they can hardly saturate (the inductance value decreases abruptly when the saturation threshold is exceeded thus causing an abrupt increase of the current flowing through it). The inductor should be selected also considering the system stability, (see Section 3.4.1). Moreover the inductor selection should be made, taking into account the inductor parasitic resistance because a value that is too high can decrease the efficiency. Ta bl e 6 lists some inductor manufacturers.
Table 6. Recommended inductors
Manufacturer Series Inductor value (µH) Saturation current (A)
DO1607C 6.8 to 15 0.72 to 0.96
Coilcraft
DT1608C 6.8 to 15 0.6 to 1
LPO1704 6.8 to 10 0.8 to 0.9
DO1606T 6.8 to 10 1 to 1.1
Panasonic
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ELL6RH 6.2 to 22 0.7 to 1.4
ELL6GM 6.8 to 10 0.93 to 1.1
AN1893 Application information
Table 6. Recommended inductors (continued)
Manufacturer Series Inductor value (µH) Saturation current (A)
To ko
D62CB 10 to 22 0.71 to 1.07
D62C 10 to 22 0.63 to 0.99

5.1.4 Compensation network (R1C3)

As shown in Section 3.4 the system stability can be studied with the loop transfer function given by Equation 3. If the output capacitor is a ceramic type, the zero due to the ESR generally is out of the system bandwidth, so the stability of the system is ensured by the cancellation between the pole due to the output capacitor and the equivalent load and the R
zero. In Equation 15, a simplified gain loop expression, valid around the transition
1C3
frequency f
Equation 15
Supposing C system bandwidth), and the output voltage equal to 1.8 V, the R
Equation 16
The nearest standard E12 series value is R
The higher the bandwidth is, the faster the transient response but the bandwidth (and so the R
value) must be lower than fSW/10 to avoid the effect due to the sampling effect poles as
1
mentioned in Section 3.2. The zero due to the compensation network must be at least 5 times lower than the frequency transition, so the C
is given by:
T
G
= 22 µF, the transition frequency at 0 dB equal to 30 kHz (fT is equal to the
2
R
1
LOOP s()
2π fTC
-------------------
gmα
= 47 kΩ .
1
gmR1α
------------------ -=
sC
2
2
48k ==
value:
3
value can be calculated as:
1
Equation 17
The nearest standard value is C ESR zero is in the system bandwidth and it can be used to stabilize the system so the zero due to the compensation network is useless (the C

5.2 Losses and efficiency

There are losses affecting the efficiency of the application. Some of these losses are related to the device and others are related to the external components. The most important losses are explained in the following paragraphs.

5.2.1 Conduction losses

These losses are basically due to the non-negligible resistances of the internal switches and the external inductor. Usually the current ripple across the inductor is negligible and in order to estimate the conduction losses of the inductor, the average output current can be
C
3
2π f
= 470 pF. If the output capacitors are tantalum type the
3
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TR1
500pF==
is necessary to the integrator function).
3
5
-------------------
Application information AN1893
considered. The conduction losses of the switches depend also on the duty cycle of the application. The RMS current flowing through the high side MOSFET is (I RMS current flowing through the low side MOSFET is (I
)2 · (1-D). So, the total conduction
O
)2 · D while the
O
losses are:
Equation 18
P
MOSIO
2
RPD() RN1D()RL++()=
where R respectively and R
and RN are the series resistance of the high side and low side MOSFETs
P
the series resistance of the inductor. The conduction losses due to the
L
ESR of the input and output capacitors are usually negligible, particularly when using ceramic caps (very low ESR). Anyway, in case of high ESR values for these caps, their conduction losses are:
Equation 19
P
where I is the current ripple flowing through the choke and D is the duty cycle of the application. The conduction losses are particularly important at high current because they depend on its squared value.

5.2.2 Switching losses

The switching losses are due to the turn on and off of the internal high side MOSFET.
Equation 20
where T are approximately in the range of 15 ns to 20 ns.This loss is important at high frequency.
ON
and T
OFF
2
CIN COUT,
I
O
P
SWITCHINGVINIOFSW
D1D()()ESR
⋅⋅ ⋅=
I2∆
------- -
+⋅⋅=
CIN
T
ONTOFF
----------------------------------- -
ESR
12
+()
2
COUT
are the turn-on and turnoff times of the internal high side switch. These

5.2.3 Gate charge losses

The gate charge losses derive from switching the gate capacitance of the internal MOSFETs. The gate capacitances (C MOSFETs) are charged and discharged with the input voltage at the switching frequency.
Equation 21
P
GATECHARGEVINCHCL
These losses are also directly proportional to the switching frequency and input voltage but are usually negligible compared with the conduction and switching losses.
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H
-
for the high side MOSFETs and CL for the low side
+()F
⋅⋅=
SW
AN1893 Thermal considerations

6 Thermal considerations

Depending on the electrical application conditions (input voltage, switching frequency, and output current) and ambient temperature, the heat produced by device losses could increase the junction temperature over its absolute maximum rating. The following relation can be used to estimate the junction temperature of the device:
Equation 22
TJTAR
where T
is the ambient temperature of the application, R
A
junction to ambient of the package and P R equal to 180 °C/W. P
depends a little bit on the application board but it can be considered approximately
TH_JA
is given by:
TOT
Equation 23
P
TOTPMOSPSWITCHINGPGATECHARGE
++=
TOT
+=
THJAPTOT
­ is the thermal resistance
TH_JA
is the overall power dissipated by the device.
-
Figure 12. Thermal performance results: V
Figure 13. R
vs. temperature
DS(on)
= 3.7 V V
IN
OUT
= 1.8 V I
= 800 mA
OUT
For a better estimation of the power dissipated, it can be useful to consider the MOSFETs R
variation with the temperature, as shown in Figure 13.
DS(on)
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Application board AN1893

7 Application board

Figure 14. Application board

Demonstration board layout
In the figures below the demonstration board layout is shown.

Figure 15. Component placement

Figure 16. Top side view

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AN1893 Application board

Figure 17. Bottom side view

Demonstration board schematic
The very small package and high switching frequency allows a very compact application. The demonstration board circuit is shown in Figure 18:

Figure 18. Schematic demonstration board

Table 7. Bill of material

Reference Part number Description Manufacturer
C1 ECJ3XBOJ106K 10 µF 6.3 V Panasonic
C2 ECJ4XBOJ226M 22 µF 6.3 V Panasonic
C3 C0406C221J5GAC 220 pF, 5% 50 V Kemet
R1 10 k 1% 0402 Neohm
R2 450 k 1% 0402 Neohm
R3 100 k 1% 0402 Neohm
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Application board AN1893
Table 7. Bill of material (continued)
Reference Part number Description Manufacturer
R4 100 k 1% 0402 Neohm
R5 200 k1% 0402 Neohm
R6 100 k1% 0402 Neohm
L1 ELL6GM100M 10 µH 0.9 A Panasonic

Figure 19. Low noises vs. low consumption efficiencies

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AN1893 Efficiency results

8 Efficiency results

Some efficiency results are shown below in Figure 20, 21, and 22.

Figure 20. Efficiency vs. output current

Figure 21. Efficiency vs. output current

Figure 22. Efficiency vs. output current

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Application ideas AN1893

9 Application ideas

9.1 Buck boost topology

In portable applications, the input voltage changes a lot due to the battery discharge profile that often depends on many parameters like temperature, discharge rate, battery ageing, etc… Moreover, in particular applications, the output voltage requirements can also change. This could imply that is not possible to provide the desired regulated output voltage by using simple buck topology. This problem is often present, for example, in systems using a single Li-Ion cell, whose voltage profile changes from 4.2 V down to 2.7 V or less. In fact, in these systems, a 3.3 V output is normally required to power processor I/O, memory and logic. Adopting buck topology, the 3.3 V output can be regulated until the battery voltage is approximately 3.4 V, also depending on the minimum dropout of the regulator. Depending on the battery type and conditions, this would leave unused some 20% - 30% of its capacity. Another application, even more critical, is the power management of 3G phones, where a
3.7 V or more can be required to power the RF power amplifier (PA).
In order to use the full battery capacity also in these applications, a positive buck_boost topology can be used. Figure 22 shows how to implement it. This topology can be more suitable, compared to a standard buck, depending on the battery discharge profile and the load conditions. In fact, the efficiency loss of the buck-boost topology can be translated into an equivalent loss in battery capacity. This can then be compared with the gain in battery capacity due to the fact that it is used over the full voltage range.

Figure 23. Positive buck boost application. 1 Li-Ion cell to 3.3 V at 0.25 A

9.2 White LEDs

White LEDs are now widely used both for LCD backlighting and for illumination. Since their brightness is proportional to the current flowing through them, a current control loop must be implemented instead of a voltage one. The device can be used in current control architecture by simply inserting a sense resistor between the FB and GND pins and connecting the LED in series with it. The loop sets 0.6 V across the sense resistor, and thus, a constant current flowing through the LED. The current, and by consequence, the brightness, can be adjusted by changing the resistor value or the voltage across it (by
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AN1893 Application ideas
partitioning the FB pin voltage). The forward voltage across a white LED is approximately
3.6 V and so, depending on the input source, appropriate topologies must be used.

9.2.1 Driving white LEDs: buck topology

The simple buck topology can be used when the input voltage source is higher than approximately 4.5 V which is the case, for example, with the USB bus.
Figure 24. Buck topology schematic
In this case, the maximum device current (800 mA, continuous) can be delivered to the LED. Moreover, in this topology, the efficiency is maximized.

9.2.2 Driving white LEDs: boost topology

When the input voltage source is always lower than 3 V (which is the case, for example, of 2 cells of a NiMH battery) a boost topology must be implemented, as shown in Figure 25.
Figure 25. Boost topology schematic
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Application ideas AN1893
In this case, according to the boost topology, the maximum current that can be delivered depends on the duty cycle. The relation between the output current and the internal switch current (assuming a negligible current ripple and 100% efficiency) is given in Equation 24:
Equation 24
I
OUTISWITCH
1D()=
This topology is possible because the input source is a battery, and so it must not be referred to ground. A drawback of this approach, intrinsic in the boost topology, is that a path between the input and output is always present. This does not allow an effective short circuit protection and can generate a battery discharge also when the device is turned off.

9.2.3 Driving white LEDs: buck-boost topology

In case a single Li-Ion cell is used at the input, a buck-boost topology can be used, as shown in Figure 26.
Figure 26. Buck-boost topology schematic
The relation from the output current and the switch current is the same as the boost topology. An advantage of this topology compared with boost topology, is that when the device is turned off, there is no current path between the input and the output. This allows an effective short-circuit protection and minimizes the current drawn from the battery when the device is turned off.
A dimming control can be developed by turning on and off the device with a frequency around 100-200 Hz in order to avoid LED flickering. Another way to implement the LED dimming is to reduce the voltage drop across the resistor in series to the LED to a partition of the FB voltage. Figure 27 and 28 show the relative circuits.
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AN1893 Application ideas
Figure 27. PWM brightness control
Figure 28. Analog brightness control
Note: The present application note which is for guidance only, aims at providing customers with
information regarding their products in order for them to save time. As a result, STMicroelectronics shall not be held liable for any direct, indirect or consequential damages with respect to any claims arising from the content of such a note and/or the use made by customers of the information contained herein in connection with their products.
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Revision history AN1893

10 Revision history

Table 8. Document revision history

Date Revision Changes
03-Nov-2007 1 Initial release
17-Apr-2008 2
26-Feb-2009 3 Modified: Section 5.1.1
– Document reformatted. No content change – Changed: Figure 13.
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AN1893
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