Automotive-Grade, Constant-Current
PWM Dimmable Buck Regulator LED Driver
A6213 and
A6213-1
9
Allegro MicroSystems, LLC
115 Northeast Cutoff
Worcester, Massachusetts 01615-0036 U.S.A.
1.508.853.5000; www.allegromicro.com
Figure 8: Minimum and Maximum Output Voltage versus
Switching Frequency (VIN = 24 V, iLED = 2 A, minimum tON and
tOFF = 150 ns)
Figure 9: Minimum and Maximum Output Voltage versus iLED
current (VIN = 9 V, fSW = 1 MHz, minimum tON and tOFF = 150 ns)
atanytime,aseriesresistor(1kΩ)isrequiredtolimitthecurrent
flowing into the EN pin. This series resistor is not necessary if
EN is driven from a logic input.
PWM Dimming Ratio
The brightness of the LED string can be reduced by adjusting the
PWM duty cycle at the EN pin as follows:
Dimming ratio = PWM on-time / PWM period
For example, by selecting a PWM period of 5 ms (200 Hz PWM
frequency) and a PWM on-time of 50 µs, a dimming ratio of 1%
can be achieved.
In an actual application, the minimum dimming ratio is deter-
mined by various system parameters, including: VIN
, VOUT
,
inductance, LED current, switching frequency, and PWM
frequency. As a general guideline, the minimum PWM on-time
should be kept at 50 µs or longer. A shorter PWM on-time is
acceptable under more favorable operating conditions.
Output Voltage and Duty Cycle
Figure 7 provides simplified equations for approximating output
voltage. Essentially, the output voltage of a buck converter is
approximately given as:
VOUT = VIN × D – VD1 × (1 – D ) ≈ VIN × D, if VD1<< V IN
D = tON / (tON + tOFF )
where D is the duty cycle, and VD1 is the forward drop of the
Schottky diode D1 (typically under 0.5 V).
Minimum and Maximum Output Voltages
For a given input voltage, the maximum output voltage depends
on the switching frequency and minimum tOFF . For example, if
tOFF(min) = 150 ns and fSW = 1 MHz, then the maximum duty
cycle is 85%. So for a 24 V input, the maximum output is 20.3 V.
This means up to 6 LEDs can be operated in series, assuming
Vf = 3.3 V or less for each LED.
The minimum output voltage depends on minimum tON and
switching frequency. For example, if the minimum tON = 150 ns
and fSW = 1 MHz, then the minimum duty cycle is 15%. That
means with VIN = 24 V, the minimum VOUT = 3.2 V (one LED).
To a lesser degree, the output voltage is also affected by other
factors such as LED current, on-resistance of the high-side
switch, DCR of the inductor, and forward drop of the low-side
diode. The more precise equation is shown in figure 7.
As a general rule, switching at lower frequencies allows a wider
range of VOUT , and hence more flexible LED configurations.
This is shown in figure 8.
Figure 8 shows how the minimum and maximum output volt-
ages vary with LED current (assuming RDS(on)=0.4Ω,inductor
DCR=0.1Ω,anddiodeVf = 0.6 V).
If the required output voltage is lower than that permitted by the
minimum tON , the controller will automatically extend the tOFF ,
in order to maintain the correct duty cycle. This means that the
switching frequency will drop lower when necessary, while the
LED current is kept in regulation at all times.
24
22
20
18
16
14
12
10
8
6
4
2
0
0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0
VOUT ( V )
fsw (MHz)
V
OUT
(max) (V)
V
OUT
(min) (V)
9
8
7
6
5
4
3
2
1
0
0 0.5 1.0 1.5 2.0 2.5 3.0
VOUT ( V )
iLED (A)
V
OUT
(max) (V)
V
OUT
(min) (V)