The converter is a Parallax 7465. According to the "manual" it does not sense battery condition at all. It just comes on at 14 volts (mine is actually 14,5), and after 13 hours a timer drops the output to 13.5 volts. Not real scientific but I guess it works. Problem with this is, if the power to the shop goes out, for even a few seconds, the converter goes back to 14.5 volts for another half day. With Florida's afternoon thunder storms, brief power drops are common. This could cook a battery in short order.
If the unit ever goes out, or probably sooner, I'll install a quality multi-stage unit. Thinking about installing a volt meter on the battery side of the disconnect switch so I can keep an eye on the voltage of the batteries at rest (off the charger).
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Bill
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