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I too was thinking diodes, perhaps with a limiting resistor to keep charge rates at a modest level.
You could have a diode in one circuit that allows full discharge of the supercap, and a diode on another circuit that allows charging through a current limiting resistor.
It should work, but seems like a hassle. The best bet is probably to get a higher farad rated capacitor bank, or just replace the failing battery.
Perhaps there are other charging issues at play here?
My Acura can start and run without issue using just the 350 farad (58 series farads) capacitor bank, and it has large electrical demands and many computers.
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