One thing we forgot to discuss is the discharge rate... If you have 200AH with the two batteries, and you are discharging 147A, the discharge rate is very steep at 147/200 = approx 75%.
Most batteries are designed for a 5% discharge rate (5A on a 100A battery). Golf cart / deep cycle may give you slightly better discharge rates...
Most batteries will tell you if you've got a 6 hour rate (industrial batteries), a 20 hour rate (normal rating), or a 100 hour rate (slightly misleading rating for our purposes). Since you're drawing at 75% of the battery rating, you've got a really aggressive discharge rate and you can expect the battery to get down to 50% significantly faster than 35 minutes. Look at the chart below - shows a 100AH battery giving the full 100AH at 5A (5% of battery rating) 20 hours, but only 81% of the 100AH at 15A (15% of battery rating) 5.6 hours.
Imagine the curve when drawing 75% of the battery rating....
At the end of the day it's hard to beat the convenience and low cost of a propane fuelled cooktop.
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