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Transcript
Introduction:
Designers of rechargeable battery powered equipment want a charger that minimizes
charge time with maximum charge current by maximizing the power taken from the
supply without collapsing the supply. Resistances between the supply and the battery
present a challenge. This app note explains how to design the charging circuit to
achieve the maximum power from the adapter despite the resistances between the
supply and battery.
1) General working of switch-mode charger:
Below is a circuit model of the buck converter based charger including all of the
undesired resistances, including the inductor’s dc resistance (DCR)
CHARGER
BUCK POWER STAGE
VBUS
PIN
SW
VSUPPLY
RIN
=
RWIRE
+
RCONNECTOR
+
RTRACE
SYS
L
RBFET
RIND
HSFET
LSFET
BATFET
BAT
PIN
ROUT
=
RWIRE
+
RTRACE
+
RCONNECTOR
Figure 1: Charger model with resistances
The input voltage to the charger is through the VBUS, since it is assumed to be from
VSUPPLY which is typically a USB port or adapter. We will use this model to derive the
minimum VSUPPLY voltage given the battery regulation threshold.
Brief working of the charger:
The charger works in 3 main modes of operation, depending on the battery voltage.
1) Low battery voltage signifies deeply discharged battery, hence it must be charged by
a low value of current, till it is brought to the threshold value of VLOWV. This is known
as Pre-Charge mode.
2) Once the battery voltage increases to a certain threshold (VLOWV), the full charge
current which has been set is allowed to flow. This current is maintained by a regulation
loop known as the Current Regulation / Constant Current Mode.
3) When the Battery voltage increases to VBATREG, it indicates that it is fully charged.
Hence, charge current is tapered down. Charger now operates in Voltage Regulation /
Constant Voltage Mode. VBATREG is typically 4.2V for Li-Ion batteries.
The charger ideally must be able to allow the full value of charge current that it has
been set for, till VBAT=4.2V. More importantly, it must be able to let the battery charge
to VBATREG.
Figure 2: Charge profile for the BQ2425x charger
To determine the minimum VBUS value permissible, the designer needs to watch for the
following issues:
1. Operation headroom between VBUS and VBAT to reach target charge current
2. Switching regulator maximum duty cycle
Operation Headroom
The resistance in MOSFETs and inductors generates voltage drop as current flows. If the
voltage difference between VBUS and VBAT is too small, the target charge current
cannot be achieved. For example, if VBUS is 4.3V, VBAT is 4.2V and total resistance from
VBUS to VBAT is 150m, the maximum current between VBUS and VBAT is 660mA.
Switching Regulator Maximum Duty Cycle
Realistically, no high-side NMOS buck converter can reach 100% duty cycle. There is
always dead time to avoid shoot-through during HSFET/LSFET turn-on/turn-off.
If the duty cycle exceeds the maximum value, the switching regulator will skip some
LSFET turn-on pulses to maintain average output current/voltage.
Calculating minimum VBUS threshold
The VBUS-MIN threshold is the minimum VBUS voltage to support target charge current
and keep the duty cycle below the maximum duty cycle. We can derive the VBUS
voltage through inductor ripple current calculation.
IRIPPLE
ICHG
Inductor Current
SW
D
1-D
Time
Figure 3: Inductor current vs operation duty cycle
I RIPPLE 
V  T
L
1
On the inductor current rising edge,
I RIPPLE 
(VBUS  I CHG  ( RRBFET  RHSFET )  I CHG  ( RIND  RBATFET )  VBAT )  D
L
2
On the inductor current falling edge,
I RIPPLE 
(VBAT  I CHG  ( RIND  RBATFET )  I CHG  RLSFET )  (1  D)
L
3
Since the ripple current is the same, we have the following VBUS equation derived:
VBUS 
1
1 D
VBAT  I CHG  ( RRBFET  RHSFET  RIND  RBATFET ) 
 I CHG  ( RBATFET  RIND  RLSFET )
D
D
4
We have a few assumptions to simplify the equation above.
 With 2.2uH, the ripple current at 96% duty cycle is less than 300mA. I is
considered as average current.
 With maximum duty cycle of 96%,
1 D
is only 4.2% compared to the second
D
item in the equation. Therefore, the third item can be ignored.
Therefore the VBUS-MIN threshold is listed as the VBUS voltage at maximum duty cycle.
5
If the Input (VBUS) to the charger falls below the above calculated threshold, then the
battery will not fully charge.
2) Minimum Supply Voltage:
This section shows how the Input voltage to the charger can fall below the permissible
value, when USB adapters are used due to input line resistance.
The USB specification states that the output to the device from a low power port can be
as low as 4.1V under full load after passing through all hubs and cables.
Below is a circuit model of a single cell battery charger powered from USB port. Assume
the 5V supply is an ideal voltage source with zero resistance in series, and the R USB is the
total resistance of the cable, connector and PCB trance. The charger is modeled as an
ideal buck converter which can reach 100% duty cycle.
VBUS
5V Supply
(i.e. USB port)
RIN
Charger IC
RIN = RWIRE + RCONNECTOR + RTRACE
The input voltage VBUS at the charger has to be above the battery charging regulation
threshold VBAT_REG (typically 4.2V). Assume that the minimum to which VIN falls is
VINMIN = 4.75V.
VBUS=VINMIN - IINMAX x RIN > VBAT_REG
With USB cable resistance of 400m, table below shows the minimum VBUS voltage
from USB2.0 port and USB 1.5A adapter.
VINMIN IINMAX VBUS
Below
VBUS-MIN?
USB 2.0
4.75V
0.5A
4.55V No
USB 1.5A
Adapter
4.75V
1.5A
4.15V Yes
At maximum duty cycle the VBUS voltage is close to VBAT so IIN ~= ICHG. Equation 5 can
now be expanded to determine the minimum input supply voltage for a given charge
current.
VSUPPLYMIN 
VBAT
 I CHG  ( RIN  RRBFET  RHSFET  RIND  RBATFET )
DMAX
6
The designer can use equation 6 to determine how low of resistance (high of quality) of
cable and connector or how wide/thick of PCB trace is necessary to avoid excessive
voltage drop at the VBUS pin and therefore utilize all of the adapter’s power for
charging the battery.
3) Input Voltage based Dynamic Power Management (VIN-DPM)
If multiple adapters and/or cables and/or connectors are expected to be used, it may be
difficult to design for all line resistance scenarios. A charger with VINDPM prevents the
input voltage from crashing regardless of input line resistance.
What is VIN-DPM?
VIN-DPM is an analog loop included in many of TI’s chargers. The purpose of the loop is
to extract the maximum amount of current available from the supply without crashing
the adapter, i.e. the input current (and therefore the resulting charge current) is limited
in order to maintain supply voltage at VIN-DPM. This feature can be used when a USB
port is one of the input power sources.
Necessity for VINDPM:
Consider using a charger without the VIN-DPM protection. As the load current drawn
increases, the input current also increases, and hence the drop across the supply
resistance increases. The voltage seen at the input pin of the charger is less than the
EMF offered by the supply. Also, the supply (voltage source) has a compliance limit on
the amount of current it can produce. Now when a load current is drawn such that the
input current required, to maintain the sum of charge current and load current, is
beyond the capability of the supply, the input voltage starts to fall (input capacitor
discharges as an attempt to supply the high current demanded). When this hits the
Under-voltage threshold, the charger turns off. Now, this allows the input voltage to
recover (as the input capacitor recharges), and once it rises above the UVLO, charging
again begins. Once the charger turns on, the same cycle repeats. This causes an On/Off
pulsing in the charge current as shown in the figure below:
VIN
UVLO
1V/div
IIN
500mA / div
Now, if a charger with VIN-DPM was used, it prevents the non-ideal pulsing of charge
current by limiting input current. It works as follows: as the input voltage reduces and
hits the set VINDPM threshold, the VINDPM function activates to limit the input current
to a smaller value. This prevents the input voltage from crashing to the Under Voltage
point, hence ensuring that ICHG pulsing does not occur.
At present, adapters supply currents between 100mA to several amperes. With VINDPM, there is no need to design charger IC with some specific adapter in mind. For
example, if it was used without VIN-DPM, and IC was programmed to draw an input of
900mA, it would cause an adapter of 500mA capability to crash.
Conclusion:
Resistances between the supply and charger can prevent the charger from pulling the
maximum power from its supply adapter without collapsing the adapter voltage. An
equation for determining the minimum supply voltage required for a charger to provide
the maximum charge current from given supply adapter without collapsing the adapter
voltage was developed. In addition, the VINDPM feature allows the use of a variety of
adapters and/or power connections without fear of collapsing the adapter voltage
because it limits the charger’s input current.