What is the effect of the speed regulator of a ceiling fan on power consumption?

If we talk about the conventional fan regulator, it has the resistances of different value for regulating the output voltage. The output voltage is governed by selecting the resistance value on the fan regulator. The total input power is equal to the power consumed by the fan plus the heat loss in the resistance type fan regulator.
 
As per fan affinity law, the air pressure that fan delivers is proportional to the square of the speed and, the power consumed is proportional to the cubic of the speed.
So, when the speed of the fan is made to decrease, the power demanded by the fan gets reduced as per the fan affinity law as stated above. However, the power loss will take place in the fan regulator.
The fan- when the regulator is at position 5- will consume more power as compared to the power consumption of the fan when the regulator position is at 2. The delivery of the air at the regulator position 5 will be more than the air delivery at position 2.Thus the lower the regulator tap position,the higher the power saving.
The power loss in the resistance regulator can be eradicated if the electronic fan regulator is used.
The voltage is regulated by controlling the SCR firing angle. Thus the speed of the fan increase/decrease linearly. The resistance regulator has five fixed speed options and has discrete set points.
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