Hi Milton and you should not be trying to charge the lithium batteries direct from the alternator.
It can be done but the problem is that when ever you turn the motor off, while your caravan is connected to your D4, your lithium batteries, which have a rested voltage of 13.2v, will be discharging back into your lead acid batteries, which have a fully charged rested voltage of 12.7v.
Even if your cranking and auxiliary batteries are fully charged, they will still continually drawing a considerable amount of energy from your lithium batteries.
And I suspect this is part of your problem.
Also, to fully charge lithium batteries, the final stage of the charge must be around 14.4v.
if the lithium batteries are low, they will cause a fair bit of voltage drop, even with your thick cable. But once the lithium’s get close to their fully charged state, the voltage drop should be minimal, and your lithium batteries will eventually fully charge.
With lithium batteries, being charged with a lower voltage, they will only charge to a specific capacity.
With your alternator voltage and what your solar can put in, I am surprised you can’t achieve a fully charged state, if you drive long enough, and the actual drive time needed will depend on the discharged level of your lithium’s when you start the drive.
Lots more to cover, but this should give you a starting point.


 
						
					 
					
					 
				
				
				
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