Gas Stove sizing?

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Kevin*

Burning Hunk
Nov 29, 2011
189
SNOHOMISH, WA
So i have a small place, about 800 sq/ft and the heat loss isn't great, about 7500 btu/hr at 55 delta (peak of winter) and around 3-5k most of the time.
My question: Is it problematic to short cycle these gas stoves? The smallest i can find is around 20k btu/hr and i fear a thermostat will have this DV400 i got on and off too often.
Thanks,