While I know that this can only be guessed at, can anyone give me a rough indication what life I can expect from LEDs are various currents?
I was thinking of running some Cree R2s at 1400mA and would like to know what life I can expect from them. Is the 50,000 hour rating given to them the rating at nominal 350mA or at their rated 3W which is about 800mA?
The Cree life rating assumes an average of 70% lumens maintenance after 50,000 hrs for a junction temperature of 80C. If you can keep the junction cooler, the life will increase.
Three factors can affect junction temp:
1. drive current
2. ambient temp
3. thermal resistance of your thermal path to the ambient environment to cool the LED
If you can isolate the driver from the LED, so that the heat generated by the driver does not contribute to the LED's junction temperature, that really helps.
If you can keep the ambient temperature low (e.g., by always operating in the Arctic :wave:, using active cooling, or using a fan), that also can help a lot.
Of course, optimizing the thermal conduction between the LED slug or PCB and your heat sink should be a design goal.
The Cree docs state that the thermal resistance between the junction and the solder point is 8C/W.
You also have thermal resistances between the solder point and the heat sink and the heat sink and the ambient.
I don't know what the Vf for an R2 is at 1400ma. But, let's assume 4V just to plug in a number. You can easily use the actual value via simple substitution into the calculations below.
P = Power dissipated by the LED = Vf * drive current = 4V * 1.4A = 5.6W
Tjunction = Tambient + (Rj-a x P)
Rj-a = Rj-sp + Rsp-h + Rh-a
where
Rj-a = thermal resistance from junction to ambient
Rj-sp = thermal resistance from junction to solder point
Rsp-h = thermal resistance from solder point to heat sink
Rh-a = thermal resistance from heat sink to ambient
Let's use the following assumptions:
Tjunction = 80C as our target for the maximum allowable junction temp (taken from the 50,000 hr spec above)
Tambient = ambient temperature
Rj-sp = 8C/W (spec from the Cree docs)
Rsp-h = 1C/W (an assumed value for a good thermal interface)
Therefore, you can solve for the required value of Rh-a:
Rh-a = (Tj-Ta)/P - Rj-sp - Rsp-h = (80-Ta)/5.6 - 9
That means that (80-Ta)/5.6 >= 9, if Rh-a is to be a positive number. That gives a max operating ambient temp of about 30C, or 86F. And that requires a thermal resistance between the heat sink and ambient of zero C/W. This is basically as good as you are going to get with improved heat sinking unless you change some operating conditions.
If you can actively cool the ambient, then you can accept a higher Rh-a thermal resistance value. If you are willing to run at a higher max acceptable junction temperature (trading off LED life), you can run at a higher Tambient and-or accept a higher Rh-a value.