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Thank you so much now l have better understanding. So my plan now is to measure how much the motor is drawing (current and voltage) using a multimeter for all my motirs and calculate how much HP it consumes as attached on the attachment. l guess a properly sized motor should operate @ 90-100% of its design HP to save energy.The pump nameplate shows 5.5 kW or 7.5 HP rating at 132 feet head and 40 gpm. The actual power required at an assumed 50% efficiency is only 2.7 HP. That says your pump nameplate is in error. Either the required power shown is wrong or the head/flowrate is wrong.
am,@40 mwc and 9 m3/h flow, the required power should be less than 1.6 kW.
If the 3.7 kW motor smokes it may be due to starting the pump at discharge valve open condition, when the power requirement is expected to be highest.
Or else there could be other mechanical problems like rubbing of wearing rings, wrong electrical terminals, defective seals etc.