It's not the 100 watts from your body maintaining the temperature in your room it's the release of heat from the house structure.
If you mean stored energy in the thermal mass of the room, then no.
- foam insulation has an extremely low thermal mass - that's the point, it's a good insulator not a good energy store; the insulation is behind a thin sheet of plasterboard; the whole construction provides insignificant heat storage
- even if there
were a high thermal mass, then with a lossy room the temperature will still drop, it will
not be sustained
No. Its the
balance between the heat
input and the heat
losses through the house structure and via air leaks.
15 watts is utterly insignificant.
Mass of air in a room 5x4x3m =72kg
Specific heat capacity of air=1003j/(kg*k)
So 200 watt hours to raise this by 1 deg.
So 13.5 hours to raise by 1 deg assuming 100% efficiency, no losses which is obviously not possible.
Your central heating system will be consuming kW of energy. It will not have any ability to control down to a 15 watt level even if this was a heat input that made a difference. The amps heat output will have no appreciable reduction in the energy consumed for heating.
I will not reply to you further on this off topic fantasy.
I didn't want this conversation. You have chosen to extend it.
Your argument about the power of the boiler is irrelevant. On that basis an amplifier that puts out 200W cannot possibly control in the mW range; and single-ended class D amps can't possibly work because they work by switching hard against the supply rail.
Please, stop ranting, stop insulting, stop assuming your intellectual superiority above mine and try listening and thinking. You have exploded and extended this topic by predetermining that it cannot possibly happen rather than listening and understanding that it
does happen and
how it can happen. Each time you have come up with an argument about it cannot possibly be, ignoring energy balances, the control systems involved, and the reality of highly thermally efficient buildings.
To repeat, the combination of high levels of insulation with an effective control loop will sustain temperature by only outputting a few watts
on average.
It does not matter if the
boiler is putting out kW (I hope it is - the target temperature for the heating water is 75C - and this is what gives the system its transient response and ability to respond to a step change). The heating
system is
not consuming kW. The boiler is
not the heating system, it is the power supply.
What matters is how the control system makes use of and releases that energy. The heating/control system does not control to Watts, it controls to temperature; each radiator controls to its own temperature. Each radiator controls to a 0.5C (that's not its accuracy, that's its control resolution.) When the room cools down it tops up the
temperature by 0.5C. (The radiator valves are actually each an independent linear control system, so they never control by hard-on/hard-off; their internal control system is operating to a finer resolution, and they don't overshoot) It consumes only as much energy as it needs at that time to make this temperature rise at the radiator, and turns off again until more energy is needed.
The whole heating system is analogous to a class D amp. The boiler may switch hard between on and off (it doesn't by the way, modern boilers adjust their output crudely in proportion to the demand), but once the time constants in the system and the negative feedback of the control system has its effect, the overall control system is very fine.
Doing a finger-in-the air calculation with my lounge radiators, the
maximum power output of the radiator is 750W - it is unlikely to be outputting this power level but let's use it for calculations. It comes on for, say 15mins then winds itself back down again. depending on the eternal temperature and the energy losses from the room it stays off for an hour. Overall consumption is therefore 1/5 x 750W = 150W. In reality the output is
less.
Again. All heat sources heat your room; every watt has an effect, and it is the
cumulative effect of all small energy sources that add together - how much of an effect that has and how significant it is, is dependent on the specifics of your room. In the calculation above 15W is significant, so too is the
cumulative effect of all the LED bulbs. Especially significant is the 100W I generate.
Your calculations are about creating a step change and are not relevant to maintaining an energy
balance.
Conservation of energy and energy balances always apply whatever the step response or mass or lag of the system.
The Passivhaus standard is 10W/m2 of floor area, based on the day with the highest heat output required - ie middle of winter.
So in the middle of winter, your 20m2 room above requires only 200W. In the UK, middle of winter would probably be considered to be -3/-5C.
At other times it requires
less power.
As I've said, my living room isn't to passivhaus standards but is very highly insulated. There is no wind outside - that can have a dramatic effect on the rate of heat loss. It's currently 6C outside. At dusk 4-1/2 hours ago it was 11C. It has been 21C in the lounge until an hour ago and dropped to 20.5 where it has stayed. The radiators have not produced any heat this evening - the setpoint is 19.5 and so the heating will not have been asked for any heat.
It is the balance between the heat losses and the heat being put into the room - those cumulative few 10s of watts - which is sustaining the temperature.