Herbie
Rendezvous Conspirator
It takes about 4 hours to fully charge my battery bank from the alternator. That's with some beefy 4AWG wire too. A lot of it has to do with heat. As the batteries get hot, the charge controller will drop the current to protect the batteries, even though my battery system can pull 50 amps from the alternator.
From websites like AAA and others, I've found the statistic that it takes 1 gallon of gas to idle your car for one hour. I'm on the road about 30 weeks a year, and I need to recharge batteries once a week. So the math works out to 30 weeks X 4 hours X 1 gallon = 120 gallons a year X $3 a gallon gas = $360 a year.
So that's $360 a year, not including wear and tear on the engine, to recharge batteries using the Jeep's engine. An Engel fridge is $375 more than an Edgestar, so the savings of an Edgestar is wiped out in the first year, and it makes the Engel cheaper than the Edgestar in subsequent years.
Like I mentioned a couple posts ago, when you get into solar and batteries, every amp is worth a fortune. While the Edgestar saves you a lot of cash upfront, you end up paying in other ways if you're trying to run a battery bank and solar panels. If I wasn't on the road as much as I am and if I didn't run a solar system, the Edgestar would be perfect.
Most of your math looks right, but this is the second thread in the last week that I've seen the "1 gallon per hour to idle" stat, and it just doesn't seem to bear out. My Scangauge reports my 4.3L v6 idles at about .25 to .3 gallons per hour.
Yes, idling your massive vehicle engine is a fairly inefficient way to charge a set of batteries, but it isn't quite "gallon per hour" inefficient.
Niggles over the dollar-cost of keeping batteries charged with an Edgestar versus a competing model aside, you're right, for some applications power efficiency is king. For other applications, it is not. For anyone who absolutely MUST save power at all costs, look into a cooler, a PC fan recirculating the air, and a block of dry ice. It will keep things cold for longer than you can imagine...