I am considering using a step-up voltage converter/transformer to increase the voltage of an outlet (in Los Angeles) from 110 VAC to 220 VAC for use with a 220 VAC electric oven/range (Samsung Model#NE59J3420SS). I'm trying to size/choose the appropriate converter but I'm a little confused on what size I should choose after looking through the oven's specifications and doing some calculations.
The specs say the two front ranges are 3 kW each, the two rear ranges are 1.2 kW each, and the oven heating element is 800 W. I am thinking that to size the converter, I would need to add these wattages up, giving a total of 2*3+2*1.2+0.8=9.2 kW. But if I calculate the amperage of 9.2 kW with 220 VAC, then I get a current of 9200/220=42 Amps.
Considering that these things would usually be used in a house with a 15-20 Amp circuit breaker, I am left wondering if I'm sizing this incorrectly. It seems to me that no one would be able to operate this thing in a house if they operate at such high amperage, so am I not supposed to add all of the power ratings or am I doing this right but people would just need to have a dedicated high-amperage circuit to operate this in their house?
Lastly, I have read that these converters should be sized two to three times the wattage of the equipment that will be used on the converter. So if I calculate 9.2 kW, then should the converter really be sized for 27.6 kW (if I can even find one that big)? Is the large safety factor of 3 here really necessary, or is it more for applications involving compressors or motors? Are there any special considerations that should be taken into account with these types of converters when sizing them for an application?