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It is common for a camper to have different house battery charging sources:
Some solar installs will even have separate charge controllers running their own panel[s].
So what happens when multiple chargers are running at the same time? Nothing dramatic, as it turns out.
In general, the charging source with the highest voltage will win.
Most charging involves holding1) If a charging sources sees the bank voltage is above its own setpoint it thinks the job is done.
Example. Pretend you have a bank in a van with alternator charging and a large and small solar panel on the roof. Each panel has a dedicated charge controller because the panels are of wildly different specs. This gives us three charging sources if you are driving down the road at dawn.
The alternator is just a plain alternator and puts out 14.0v all the time. The Morningstar charge controller is factory set to start Absorption at 14.4v.2) The Xantrex charge controller has been configured by you to start Absorption at 14.7v.3)
Let's charge that battery. Here is the battery voltage along the way: