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Question 6 (12 marks) A balanced Wye-Delta three-phase power circuit has line-to-neutral source voltages of 220 V rms. The source angular frequency is 1000 rad/s, and the source voltages follow a positive phase sequence. The load impedances each consist of a 30 ? resistor in series with a 5 mH inductor. The line impedances can be modeled as a 1 ? resistor in series with a 0.5 mH inductor. (a) [4 marks] Find the line current phasor I_bB and load current phasor I_BC. Support your calculations with an appropriate circuit diagram. (b) [3 marks] Find the real and reactive power of the Wye source. (c) [3 marks] Find the total real and reactive power of the line impedances, and the real and reactive power consumed by the Delta load. (d) [2 marks] Confirm that your answers in parts (b) and (c) are consistent with the Principle of Conservation of Energy.

          Question 6 (12 marks)
A balanced Wye-Delta three-phase power circuit has line-to-neutral source voltages of 220 V rms. The source angular frequency is 1000 rad/s, and the source voltages follow a positive phase sequence. The load impedances each consist of a 30 ? resistor in series with a 5 mH inductor. The line impedances can be modeled as a 1 ? resistor in series with a 0.5 mH inductor.
(a) [4 marks] Find the line current phasor I_bB and load current phasor I_BC. Support your calculations with an appropriate circuit diagram.
(b) [3 marks] Find the real and reactive power of the Wye source.
(c) [3 marks] Find the total real and reactive power of the line impedances, and the real and reactive power consumed by the Delta load.
(d) [2 marks] Confirm that your answers in parts (b) and (c) are consistent with the Principle of Conservation of Energy.

Question 6 (12 marks)
A balanced Wye-Delta three-phase power circuit has line-to-neutral source voltages of 220 V rms. The source angular frequency is 1000 rad/s, and the source voltages follow a positive phase sequence. The load impedances each consist of a 30 ? resistor in series with a 5 mH inductor. The line impedances can be modeled as a 1 ? resistor in series with a 0.5 mH inductor.
(a) [4 marks] Find the line current phasor IbB and load current phasor IBC. Support your calculations with an appropriate circuit diagram.
(b) [3 marks] Find the real and reactive power of the Wye source.
(c) [3 marks] Find the total real and reactive power of the line impedances, and the real and reactive power consumed by the Delta load.
(d) [2 marks] Confirm that your answers in parts (b) and (c) are consistent with the Principle of Conservation of Energy.

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