350F sounds like a huge value. How did you come to that value? (later edit: Oh, I just selected in digikey anything above 300F and that capacitor was the cheapest so I guess maybe that's how)
This boost regulator I had in mind is already capable of generating directly 3.3v but with a voltage input close to this value (2.4v or more) at a few mA output it has a high ripple of up to 100mV.
I was thinking that as the current draw of the device is about 1mA, the boost regulator would be inefficient, at about a 65-70%. So I would use the super capacitor simply as a buffer of energy, to pump current into it at 100-200mA (the peak efficiency of such ISL9111) then turn it off until the super capacitor is going down to 3.5v or whereabouts.
There are LDOs with 10-100mA maximum current which have about 0.1v drop, maybe even less at 1 mA draw... for example MC78LC33NT (
http://www.farnell.com/datasheets/87792.pdf ) drops 30mV at 1mA.
The problem I have is... or better put the question... Is the energy wasted by the linear regulator to convert the 3.5v - 5v from supercapacitor + the slow discharge of the super capacitor LESS than the energy obtained by increasing the efficiency of the boost regulator to 95% ... or not?
Remember, when the supercapacitor is at 5v, the ldo converts to 3.3v wasting (5-3.3) x 2-3 mA .. but the super capacitor will decrease very fast down to about 3.4-3.5v so the losses are decreasing in a relatively linear way
I assume the the super capacitors would have to be low resistance kind, low esr, so not that battery cell types.. but I didn't have 350F in mind, 27-60F seemed like a more reasonable value to me... a 22uF 2.7v with 200mOhm ESR would be about 7$, 5$ at 100pcs order..... but I admit I didn't do the math... so I really don't know off the top of my head how many mA of current would 22 F equate to.
Then it's a question of battery chemistry... would the battery prefer pulses of 100-200mA for a few seconds or minutes, or would it rather prefer long duration draw of a few mA?
I would be quite interested in getting some answers to these, if someone has more experience in this field.