The following 3-phase loads are connected to a 3- phase 400 V, 50 Hz power supply: Load 1: Lighting load of P kW at unity P.F where P 100 + NN and NN is the last two digits (from right) of your registration number. Load 2: A 3-ph induction motor that draws 400 A at 0.8 lagging power factor. Find: 1- The total line current supplied by the source to feed these loads. 2- The leading power factor of the 300 kW synchronous motor that should be connected in parallel with these loads in order to to improve the power factor to be 0.96. 3- The line curent supplied by the source to feed these loads after connecting the synchronous motor. 4- Does the synchronous motor supply or consume reactive power in this case of operation. Verify your answer.

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Power Measurement

According to Blondel's theorem, the total power is measured with one less number of wattmeters than the number of wires present in the system. So, a single-phase and two-wire system will require one wattmeter and a single-phase and the three-wire system will require two wattmeters, and a three-phase and the three-wire system will also require two wattmeters and a three-phase and the four-wire system will require three wattmeter devices. The wattmeter is a device that measures power using one voltage and one current input as shown in the above figure. Multiple current or voltage input pair cables are used by many power analyzers and digital storage oscilloscopes (DSOs) for measuring watts, in effect within a single instrument acting as multiple wattmeters. It is possible to measure three-phase and four-wire power with one correctly specified power analyzer.