These are very interesting results, thanks for sharing them with us!
There is something I don't understand though in graph 1 - lumen output drops to nearly zero with fan ON around 37th minute or so but stays around 500lm with fan OFF for 100 mins? That doesn't make much sense.
I assume this an external fan you use to blow on the headlamp? Environment is what, room temp around 20 degrees C?
The room temperature was around 22 degrees C.
As scs said, the headlamp automatically lowers the output without cooling. Which means lower drain from the cell, so it can run longer (but with lower output) without cooling.
With cooling, the cell is already empty after those 35 minutes.
Btw what is this styrofoam sphere you are talking about, some device to measure luminosity? Excuse my ignorance, I'm still a newbie here
Homemade integrating sphere for measurement of luminous flux. I use four flashlights measured in professional sphere for calibration.