You cannot just replace your house battery with a lithium without modifying your DVSR to manual operation or hooking it to an ignition hot. The DVSR close threshold of 13.4 volts to close the switch will be activated by the LiFePO’s higher rating voltage of 13.6 volts.
Check my post #43 in this thread.
https://jetboaters.net/threads/conversion-to-lifepo-batteries.35834/page-3
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You may want to read through the whole thread on lithium batteries that I posted and the input from fellow boaters. The short story on them is buy the more reputable battery like a ReLion or Battle Born. If you are a fair weather boater go with the Tracker branded ReLion batteries that you can get at Bass Pro / Cabela’s. I think the Battle Born is the best but both the ReLion and Battle Born have the best BMS that I could find with Battle Bon taking the win here as it’s BMS will keep you from doing anything to it that would damage it.
As far as your lead acid house battery goes, get a good quality smart charger with a minimum of 10A of charging power, and has a manual equalize charger setting, pull your house battery out, take it home and charge it, then run a manual equalize charge on it and this should restore a lot of its capacity.
Our boats just don’t have a lot of left over charging power, perhaps 5-7 Amps per engine. So with everything off except what’s necessary on your 30 min run you could maybe put 7 amp hours back into your house battery.
Also, don’t leave your boat idling at the sand bar to try and keep the battery charged while people are hanging out on the swim deck, the engine exhaust is right there and the risk of carbon monoxide poisoning is real. Same goes for slow cruising… it’s fine just no one hanging out on the swim deck while slow cruising.