Efficiency of heaters with integrated temperature sensors

In any electric goods store you can buy a heater with a regulator - it can be either a fan heater or an oil radiator. In any case, the regulator is usually a bimetallic plate, which closes and opens the contacts, providing the so-called relay control. However, the simplicity and low cost of implementation turn out to be disadvantages.

Firstly, a bimetallic plate measures its own temperature, not the temperature of the surrounding air. It is installed in the heater body, which, in turn, heats up during operation. The air vents near the regulator in the oil radiators make it possible that air temperature will be measured as a result of convection, but in reality the radiator can stand in frost and light breeze and will not turn on for a long time until the bimetallic plate cools down. The cheap fan heaters that I have come across work in exactly the same way as we further illustrate.
So, we have a stand of this kind, with a volume of about 0.75 cubic m3

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Where 1 and 2 are temperature sensors, 3 is a fan heater, 4 is a controller with “smart sockets”

If the built-in controller works for us, then we get the following picture:
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If you turn on the “smart outlet” controller (to turn it on at 23 degrees, turn it off at 25 degrees), we get the following graph
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1 - this is the fan heater control that remained in the same position as when removing the first chart. 2 - the fan heater controller was shifted by one division, but this was not enough, then I had to move it another half division.

At the request of readers, he overlaid graphs on the same scale and from zero along the temperature axis.
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And the fan heater regulator itself, for those who do not remember what it looks like
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