---
True
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>** Impossible to reduce the battery drain and have the same power.
>
>
>> So if you want to increase battery life beyond belief,
>> the thing to do is wire the LEDs in series
>
>** Also impossible, cos they all have different current drains.
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Depends on the array, yes?
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>> and then use a "boost" converter to step-up the 6V voltage to 24-30 V as
>> required.
>
>** Insanity.
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Actually, it's quite practicable and, depending on the array,
practical.
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> Just adds conversion loses to the battery drain.
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But if the conversion losses are less than the ballast drain and the
ballast resistor(s) can be removed, then that's win win.
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>.... Phil
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Sure, but the loss due to the LED ballasts (the current limiting
resistors) will go down substantially as the number of series LEDs
increases.
Just for grins, let's say we have 100 LEDs with a Vf of 2.2V with
20mA through them, and a 6V source driving them.
Using a resistor to drop the 6V from the source to the 2.2V each LED
load wants to see leaves us with a 190 ohm resistor in series with
each LED.
The E24 series provides 180 and 200 ohm +/- 5% resistors, so -
erring on the low side of If - we choose 200 ohms and, assuming a
negligible change in Vf at the new current, that current becomes:
Vcc - Vf(led)
If = --------------- = 0.019A = 19mA,
Rs
the equivalent resistance of each LED will be:
Vf 2.2V
R = ---- = ------ = 116 ohms,
If .019A
R LED
and each R/LED string will look like this: +6V--[200R]--[116R]--0V.
---19mA-->
The power dissipated in the LED will be:
P = I²R = 0.019A * 116R ~ 0.042 watts
and, in the resistor, 0.072 watts.
For 100 R/LED series strings connected in parallel then, the total
power into the array will be 11.4 watts and the supply current will
rise to 1900 mA.
Using Fred's proposition, but raising Vcc to 48V - which, as I
understand it, is pretty close to what UL calls "non-shocking"-
would allow us to connect Vcc/Vled = 48V/2.2V = about 22, LEDs in
series across Vcc with no ballast.
For a 100 LED array, then, we could use 5 parallel strings of 20
series connected LEDs with a single ballast resistor in each string,
which we would select to allow, say, 20mA through each string with a
drop of:
Rs = Vcc - (n Vf(led) = 48V - 20 * 2.2V = 4.0V
across the R = 4.0V/0.02A = 200 ohm ballast resistor.
In this case, the per-string power dissipated by the LEDs will be:
Pd = 0.02A * 44V = 0.88 watts,
and for the resistor:
Pd = 0.02A * 4V = 0.08 watts, for a total dissipation of 0.96
watts per string, and 4.8 watts for the array.
In order to get from 6V to 48V we can use a boost converter and,
assuming an efficiency of 80%, that 4.8 watts into the 48V array
will cost 6 watts out of the 6V battery, which is 1 ampere.
On the other hand, the 6V array will cost 1.9 amperes, and looking
at a typical SLA discharge current VS discharge time curve at:
http://www.panasonic.com/industrial/includes/pdf/Panasonic_VRLA_LC-R0612P.pdf
reveals that - as expected - there's only about a 2:1 increase in
discharge time (to terminal voltage, I assume,) for the 48V versus
the 6 volt array, since almost all of those wasteful resistors have
been removed from the 48V array.
So maybe the increase in "battery life" Fred was referring to was
charge-discharge cycles?
John Fields