Suppose you are given the following: A home with a south facing wall glazed with the lowest heat loss windows money can buy. At a distance from the windows (floor to ceiling) chosen by you, a passive solar absorbing wall is placed (mortared stone) of arbitrary thickness. On the outside of this south-facing wall (the house is in the northern hemisphere at 30 ° latitude and -101 longitude for this example), the roof line extends arbitrarily outward as another variable. For argument's sake, the house is at elevation of 3300 ft (1006 m), and yearly average outside temperature is 72 °F (22.2 °C), with extremes of 20 °F (-6.7 °C) and 105 °F (40.6 °C). No input is given with respect to how many extreme days there are, but there is a substantial daily variation, due to the arid climate.
You design for the following: (1) Maximum heat transfer into the home from the solar absorbing wall in the winter months, and maximum rejection of insolation during summer. (2) Reduce auxiliary heating and cooling to a minimum. Auxiliary cooling and heating is done by heat pump, and the unit is electrically powered. Additional heat inputs as required include: (a) wood fireplace with insert/stove with forced draft heat exchanger, (b) natural gas-fired furnace on central HVAC unit.
The house is 3000 sq. ft. living area on a single floor. There is no basement. All exterior walls are insulated (to your specification), as well as the attic. The house rests upon a concrete slab, engineered to withstand local stresses, and to support the mass of the passive solar wall. The total heated/cooled mass of the house is X, the air volume of the house is Y with 1-100% air exchange per day (with 90% heat recovery/rejection), and the north, east, and west sides of the house are shielded from high winds.
What will be the average power requirement if daily temperature swing averages 30 °F in the summer and 20 °F in the winter, and the seasonal shift is ± 20 °F relative to the given average temperature for this location? The load estimate will not include other household activities, lighting, electronics, cooking, etc. at this time.
This is a discussion, not a question, so feel free to answer the questions any way you choose. There is no particular "right" answer, but feel free to support your declarations any way you choose.
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