1) If you have an existing 200 amp main electrical panel, you should have a panel that has 42 available spaces. You wish to add an additional 114 amps onto a new sub-panel, that tells me that your 42 space panel is most likely maxed out in terms of available breaker spaces. This also suggests that if adding 114 amps onto a new sub, the main panel only has capacity of 200 amps minus 114 amps for the sub panel which = 86 amps. If you have an existing 200 amp main panel, I would suspect that the existing 200 amp panel is pulling more than 86 amps with all existing LOADS connected? If so and by adding an additional 114 amps or so, the 200 amp main breaker is gonna trip. The existing 200 amp service will be overloaded and undersized. Even by not performing the calculations, you will need a minimum of a 350 or a 400 amp service to handle all of these loads.
An electric stove will require a 50 amp. A water heater requires a minimum of a 30 amp and the heat pump probably requires a minimum of a 60 amp. If you have Central Air, that's another 40 amps. Not too mention the remainder of the existing 15 and 20 amp circuits throughout the house for receptacles, general lighting, garbage disposal, dish washer, etc.
The only true ways to determine this are to either recalculate the entire existing branch circuits in the house plus the sub-panel calculated load or to turn on every electrical appliance within the house , lighting, Central Air, Furnace, Sump Pumps, Well Pump, etc and to use a clamp-on amp meter to determine the actual amperage draw on each leg of the main breaker.
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