I have been searching everywhere for the best way to power my circuit and I can't find straight forward information.
My circuit needs 3.3V and the maximum current it draws is 50mA. It will run at 50mA approx 1% of the time and 99% it will run at .004mA (not including the draw of the regulator).
I'd like the physical size to be something close to 3 AA batteries (or smaller).
It has to be rechargeable, have high capacity 3200mAh or more (5000mAh would be great).
So far the best information I see is to use a li-ion rechargeable battery and a TPS63031 voltage regulator. I would like some input regarding if this will even work and if it is an efficient way to power my circuit or if there are better ways.