ZETEX AN44

AN44
A high power LED driver for low voltage halogen replacement
Introduction
LED lighting is becoming more popular as a replacement technology for Halogen low voltage
lighting, primarily because of the low efficiency, reliability and lifetime issues associated with
Halogen bulbs.
Discussed below is a novel approach for driving high power LED's as a replacement for low
voltage halogen lighting systems.
A typical schematic diagram is shown in Figure 1.
Figure 1
Schematic diagram
Operation
Please refer to the typical schematic diagram in Figure 1.
On period, TON
The ZXSC300 turns on Q1 until it senses 19mV (nominal) on the ISENSE pin.
The current in Q1 to reach this threshold is therefore 19mV/R1, called IPEAK.
With Q1 on, the current is drawn from the battery and passes through C1 and LED in parallel.
Assume the LED drops a forward voltage VF. The rest of the battery voltage will be dropped across
L1 and this voltage, called V(L1) will ramp up the current in L1 at a rate di/dt = V(L1)/L1, di/dt in
Amps/sec, V(L1) in volts and L1 in Henries.
The voltage drop in Q1 and R1 should be negligible, since Q1 should have a low RDS(on) and R1
always drops less than 19mV, as this is the turn-off threshold for Q1.
VIN = VF + V(L1)
TON = IPEAK x L1/ V(L1)
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AN44
So TON can be calculated, as the voltage across L1 is obtained by subtracting the forward LED
voltage drop from VIN. Therefore, if L1 is smaller, TON will be smaller for the same peak current
IPEAK and the same battery voltage VIN. Note that, while the inductor current is ramping up to
IPEAK, the current is flowing through the LED and so the average current in the LED is the sum of
the ramps during the TON ramping up period and the TOFF ramping down period.
Off period, TOFF
The TOFF of ZXSC300 and ZXSC310 is fixed internally at nominally 1.7µs. Note that, if relying on
this for current ramp calculations, the limits are 1.2µs min., 3.2µs max.
In order to minimize the conductive loss and switching loss, TON should not be much smaller than
TOFF. Very high switching frequencies cause high dv/dt and it is recommended that the ZXSC300
and 310 are operated only up to 200 kHz. Given the fixed TOFF of 1.7µs, this gives a TON of (5µs 1.7µs) = 3.3µs minimum. However, this is not an absolute limitation and these devices have been
operated at 2 or 3 times this frequency, but conversion efficiency can suffer under these
conditions.
During TOFF, the energy stored in the inductor will be transferred to the LED, with some loss in the
Schottky diode. The energy stored in the inductor is:
½ x L x IPEAK2 [Joules]
Continuous and discontinuous modes (and average LED current)
If TOFF is exactly the time required for the current to reach zero, the average current in the LED
will be IPEAK/2. In practice, the current might reach zero before TOFF is complete and the average
current will be less because part of the cycle is spent with zero LED current. This is called the
‘discontinuous’ operation mode and is shown in Figure 2.
Figure 2
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For continuous mode
If the current does not reach zero after 1.7µs, but instead falls to a value of IMIN, then the device
is said to be in ‘continuous’ mode. The LED current will ramp up and down between IMIN and IPEAK
(probably at different di/dt rates) and the average LED current will therefore be the average of
IPEAK and IMIN, as shown in Figure 3.
Figure 3
Design example
(Refer to Figure 1 and Table 1)
Input = VIN = 12V
LED forward drop = VLED = 9.6V
VIN = VLED+VL
Therefore VL = (12 - 9.6) = 2.4
The peak current = VSENSE / R1
(R1 is RSENSE) = 24mV/50mR = 480mA
TON = IPEAK x L1/V(L1)
680mAx22µH
T ON --------------------------------------- = 6.2µs
2.4
These equations make the approximation that the LED forward drop is constant throughout the
current ramp. In fact it will increase with current, but they still enable design calculations to be
made within the tolerances of the components used in a practical circuit. Also, the difference
between VIN and VLED is small compared to either of them, so the 6.2µs ramp time will be fairly
dependent on these voltages.
Note that, for an LED drop of 9.6V and a Schottky drop of 300mV, the time to ramp down from
680mA to zero would be:
680mAx22µH
TDIS --------------------------------------- = 1.5µs
( 9.6 + 0.3 )
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As the TOFF period is nominally 1.7µs, the current should have time to reach zero. However, 1.5µs
is rather close to 1.7µs and it is possible that, over component tolerances, the coil current will not
reach zero, but this is not a big issue as the remaining current will be small. Note that, because of
the peak current measurement and switch-off, it is not possible to get the dangerous ‘inductor
staircasing’ which occurs in converters with fixed TON times. The current can never exceed IPEAK,
so even if it starts from a finite value (i.e. continuous mode) it will not exceed the IPEAK. The LED
current will therefore be approximately the average of 680mA and zero = 340mA (it will not be
exactly the average, because there is a 200ns period at zero current, but this is small compared
with the IPEAK and component tolerances).
Ref
Value
Part number
Manufacturer Contact details
Comments
U1
ZXSC310E5
Zetex
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LED Driver in SOT23-5
Q1
ZXMN6A07F
Zetex
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N-channel MOSFET in
SOT23
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1A Schottky diode in
SOT23
D1
1A / 40V
ZHCS1000
Zetex
D2
6V8
Generic
Generic
L1
22␮H
DO3316P-223 Coilcraft
R1
50m⍀
Generic
Generic
0805 size
R2
1k2⍀
Generic
Generic
0805 size
C1
100␮F/25V
Generic
Generic
C2
1␮F/10V
Generic
Generic
C3
2.2␮F/25V
Generic
Generic
Table 1
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6V8 Zener diode
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Bill of materials
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Typical performance graphs for 12V system
Figure 4
Performance graphs for 12V system
By changing the value of R2 from 1k2⍀ to 2k2⍀ the operating input voltage range can be adjusted
from 30V to 20V, therefore the solution is able to operate from the typical operating voltage
supplies of 12V and 24V for low voltage lighting.
Typical performance graphs for 24V system
Figure 5
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Performance graphs for 24V system
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Useful formulae for calculations
The input power from the battery during TON (assuming discontinuous operation mode) is VIN *
IPEAK/2. The average input current from the battery is therefore this current multiplied by the ratio
of TON to the total cycle time:
I PEAK
T ON
---------------× --------------------------------2
T ON × T OFF
It can be seen from this how the average battery current will increase at lower VIN as TON becomes
larger compared to the fixed 1.7µs TOFF. This is logical, as the fixed (approximately) LED power
will require more battery current at lower battery voltage to draw the same power.
The energy which is stored in the inductor equals the energy which is transferred from the
inductor to the LED (assuming discontinuous operation) is:
½ * L1 * IPEAK2 [Joules]
I PEAK × L1
T ON = -------------------------------------------( V BATT – V LED )
Therefore, when the input and the output voltage difference are greater, the LED will have more
energy which will be transferred from the inductor to the LED rather than be directly obtained
from the battery. If the inductor size L1 and peak current IPEAK can be calculated such that the
current just reaches zero in 1.7µs, then the power in the LED will not be too dependent on battery
volts, since the average current in the LED will always be approximately IPEAK/2.
As the battery voltage increases, the TON necessary to reach IPEAK will decrease, but the LED
power will be substantially constant and it will just draw a battery current ramping from zero to
IPEAK during TON. At higher battery voltages, TON will have a lower proportional of the total cycle
time, so that the average battery current at higher battery voltage will be less, such that power
(and efficiency) is conserved.
The forward voltage which is across the Schottky diode detracts from the efficiency. For example,
assuming VF of the LED is 6V and VF of the Schottky is 0.3V, the efficiency loss of energy which is
transferred from the inductor is 5%, i.e. the ratio of the Schottky forward drop to the LED forward
drop. The Schottky is not in circuit during the TON period and therefore does not cause a loss, so
the overall percentage loss will depend on the ratio of the TON and TOFF periods. For low battery
voltages where TON is a large proportion of the cycle, the Schottky loss will not be significant. The
Schottky loss will also be less significant at higher LED voltages (more LED's in series) as Schottky
drop becomes a lower percentage of the total voltage.
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[email protected]
Telephone: (44) 161 622 4444
Fax: (44) 161 622 4446
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