Re: Battery Boxes.
Alkaline cells can in practice be paraleled, though suppliers advise against so doing. Any slight mismatch in voltage whilst standing idle can result in one cell charging another.
This can be avoided by only paraleling the cells whilst on load, switch the LT supply by a 3 pole switch such that the 3 alkaline D cells are only connected together whilst on load.
AFAIK "super F" rechargeables are available in 14 A/H which might help.
3 alkaline D cells if paraleled would be about 50 A/H.
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