FWIW one way to make these charge lead acids is to make only 2 cells, eg in ice cream tubs, or really something more robust but similar size, run a meaty 6v relay in self oscillating mode, and use a good sized transformer with its priamry removed as a choke. Between that lot you get a slow switched mode upconvertor with minimal hassle. The
2 cells are stored in unfilled form: the water and soda (or whatever youre using) are stored in a separate containers.The advantages of a switche mode convertor are simplicity of battery construction, and simplicity of plate replacement. The electrical output of one with no lead acid connected is lethal.
You can run one off a single cell in principle, but you'd then need to rewind both relay and transformer, and every circuit connection becomes resistance critical. There are several variations on the theme, 2 cells and no primary on the transformer are probably the simplest.
NT