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Question 3 (15 points) Synchronous Motors Three 1 kV AC motors are used to drive pumps in a TUT Arcadia Campus and connected to the feeder network. The three motors are supplied by a three-phase line with an impedance of $0.9 + j5 \Omega$ per phase. The voltage on the motors is 90% of the nominal voltage. Motor 1 is an induction motor consuming 10 kW at 0.85 PF lagging and Motor 2 is an induction motor consuming 5 kW at 0.8 PF lagging. Motor 3 is a synchronous motor whose real power consumption is 10 kW and at p.f. 0.9 leading. Determine: 3.1 the total power reactive power absorbed/supplied by the 3 motors. (7) 3.2 the total real power of the 3 motors. (1) 3.3 the power factor of the system. (2) 3.4 the total current supplied to the 3 motors. (1) 3.5 the losses over the supplying line if the load is to be reduced by half. (2) 3.6 the reactive power consumed by the Motor 2 based on condition 3.5 above. (2)

          Question 3 (15 points)

Synchronous Motors

Three 1 kV AC motors are used to drive pumps in a TUT Arcadia Campus and connected to the feeder network. The three motors are supplied by a three-phase line with an impedance of $0.9 + j5 \Omega$ per phase. The voltage on the motors is 90% of the nominal voltage. Motor 1 is an induction motor consuming 10 kW at 0.85 PF lagging and Motor 2 is an induction motor consuming 5 kW at 0.8 PF lagging. Motor 3 is a synchronous motor whose real power consumption is 10 kW and at p.f. 0.9 leading.

Determine:
3.1 the total power reactive power absorbed/supplied by the 3 motors. (7)
3.2 the total real power of the 3 motors. (1)
3.3 the power factor of the system. (2)
3.4 the total current supplied to the 3 motors. (1)
3.5 the losses over the supplying line if the load is to be reduced by half. (2)
3.6 the reactive power consumed by the Motor 2 based on condition 3.5 above. (2)

question 3 15 points synchronous motors three 1 kv ac motors are used to drive pumps in a tut arcadia campus and connected to the feeder network the three motors are supplied by a three phas 29076

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