During its first outing, I managed to burn out the (control circuitry) of two of the batteries connected to my LED jacket (see this, this and this question for context.) I thought I should have been well within spec for the total current I was drawing, so I'm now wondering if it wasn't the total, but just how quickly I was trying to draw it (the draw is quite "peaky".)
In order to mitigate this in the next iteration of my design, I was thinking I could put a few hefty (10,000µF?) capacitors across my power bus. But I understand that they will draw a large amount of current themselves while charging. Can I prevent this by putting a resistor in series with each capacitor?
What resistor values would be appropriate if the voltage across the bus is 5V and I am using four 10,000µF capacitors? Or is there a better way to limit the current drawn by the capacitors on startup?