This is fairly representative of our experience. Our rig has similar solar, battery bank, induction, etc (see build thread). We live in our van full time. I can go through our system logs if you want a monthly average of usage. In the winter solar charging is limited, you may need tiltable panels, or a dc-dc charger from the alternator. Alternatively, a lithium bank doesn't need to be fully charged regularly, and will accept charge rapidly from lower alternator voltages without a dc-dc charger.
Sounds like one way to do it would be to figure out the largest system that will fit, and through trial and error, figure out what needs to be run on what fuel/power source from there. Solar systems are expensive though.
Solar/battery/electric is good for pretty much everything, except making heat. For heat, burn fuel (stove, hot water, cabin heat).
I would go with an electric fridge (with danfoss variable speed compressor), but propane stove, and either propane or gasoline for heat.
That should simplify the electrical calcs.
Solar isn't that expensive, especially when you are talking induction, inverters, 4/0 cables etc. Just put as much as you can fit. You won't regret it.
For some reason I'm attracted to the idea of induction.. I guess I don't like the idea of an open flame in a small space for one.
Fair enough! What made you go with induction? Some say its inefficient others say it is very efficient.. It looks like if I crank it up to high all the time that it COULD use a lot of power...
Couple of thoughts (and I did skim some of the later posts)
If you want to run the induction cook top, start the engine. Trying to bank that much battery power is crazy. But the alternator will keep up just fine.
The other is the fridge value looks high. Not sure what fridge you have picked. My 10 year old ARB Freezerfridge draws under 3 amps when it is running. So summer in freeze, that is all the time. In fridge, way less but dependent on outside temp. Guessing 10~60% duty cycle on average.