A high voltage 3 phase induction motor operating at rated power can be represented by a balanced delta connected load (ZRY etc) of (350+j100) and is connected to a 3-phase, 11kV and 50 Hz supply. Draw the circuit diagram, indicating VRN, VRY and all load phase, and line currents, Calculate: (i) The three load phase currents (IRY, IYB and IBR). (ii) The three line currents (IR, ly and IB). (iii) The total real power (W) and reactive power (VAr) power at the 3 phase supply.

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(a) A high voltage 3 phase induction motor operating at rated powwer can be represented
by a balanced delta connected load (ZRY etc) of (350 +j100) 2 and is connected to
a 3-phase, 11kV and 50 Hz supply.
Draw the circuit diagram, indicating VRN, VRY and all load phase, and line currents.
Calculate:
(i)
The three load phase currents (IRY, IYB and IBR).
(1i)
The three line currents (IR, ly and IB).
The total real power (W) and reactive power (VAr) power at the 3
phase supply.
(iii)
(b)
A fault condition in the above load in Q1(a) causes the impedance of ZRY to reduce
to (100+j40) 2, but the other two impedances remain at (350 +jl100) 2.
Using the information above:
(i)
Calculate the 3 load phase currents (IRY, IYB and IBR).
Draw a scaled phasor diagram indicating all phase and line voltages
and the three load phase currents.
(ii)
Using the scaled phasor diagram or otherwise determine the 2 line
currents (IR and Iy).
(111)
(c) Specify the relevant measurements for each wattmeter in the 2 wattmeter method,
and determine the total real supply power (W) for Q1(b) based on the 2 wattmeter
measurements.
Transcribed Image Text:(a) A high voltage 3 phase induction motor operating at rated powwer can be represented by a balanced delta connected load (ZRY etc) of (350 +j100) 2 and is connected to a 3-phase, 11kV and 50 Hz supply. Draw the circuit diagram, indicating VRN, VRY and all load phase, and line currents. Calculate: (i) The three load phase currents (IRY, IYB and IBR). (1i) The three line currents (IR, ly and IB). The total real power (W) and reactive power (VAr) power at the 3 phase supply. (iii) (b) A fault condition in the above load in Q1(a) causes the impedance of ZRY to reduce to (100+j40) 2, but the other two impedances remain at (350 +jl100) 2. Using the information above: (i) Calculate the 3 load phase currents (IRY, IYB and IBR). Draw a scaled phasor diagram indicating all phase and line voltages and the three load phase currents. (ii) Using the scaled phasor diagram or otherwise determine the 2 line currents (IR and Iy). (111) (c) Specify the relevant measurements for each wattmeter in the 2 wattmeter method, and determine the total real supply power (W) for Q1(b) based on the 2 wattmeter measurements.
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