Comment Re:Silly assumptions. (Score 1) 172
The physics is very simple here: not heating/cooling your house takes less energy than doing so constantly, and many heating/cooling systems will work more efficiently somewhere near their maximum output.
If you let temperature drift too far from the set-point that you want then your system may struggle to get back there in time, but it is possible to work back from the set point and time and have the system work out when to come on to get you there ("optimum on" in trade jargon), and also thus the furthest the temperature can be allowed to drift.
Partly that depends on outside temperatures ("weather compensation") and largely it depends on the capacity of your heating/cooling system and how well insulated your house is.
(I try to do some of this very crudely in our OpenTRV device and I'm sure that I do not have it right yet, and I am allowing 3C setback if the system is fairly confident that you are not likely to be around.)
BTW, wholesale electricity prices can go *negative* in extreme cases and up 100x normal at the other end, so though only maybe 50% of your retail bill is the energy cost, there is still plenty of scope for passing on big savings if the user wants to accept time-of-day pricing.
Rgds
Damon