A generation plant has a 12kV, balanced three-phase, wye connected synchronous generator. It has two (2) pole pairs and is coupled to and driven by a gas turbine engine which maintains the rotational speed of the rotor at 1500 rpm. The output of the generator is connected to a 12kV/66&V delta-star composite three phase transformer in the plant's substation. The transformer secondary windings then connect to three transmission lines that leave the substation, each of which has a total resistance and inductance of 102 and 95.5mH respectively. The total number of customers supplied by the transfomer is modelled as a balanced three phase delta connected load at the end of the transmission lines with a resistance and inductance of 5002 and 1.5H respectively per phase. a) Assuming the transformer is ideal and lossless and that all neutrals are grounded, calculate: 1) The line currents between the transformer and load i) The phase curents in the delta load i) The phase voltages of the delta load

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A generation plant has a 12*V, balanced three-phase, wye comnected synchronous generator. It
has two (2) pole pairs and is coupled to and driven by a gas turbine engine which maintains the
rotational speed of the rotor at 1500 rpm.
The output of the generator is connected to a 12kV/66KV delta-star composite three phase
transformer in the plant's substation. The transformer secondary windings then connect to three
transmission lines that leave the substation, each of which has a total resistance and inductance
of 102 and 95.5mH respectively.
The total number of customers supplied by the transfomer is modelled as a balanced three phase
delta connected load at the end of the transmission lines with a resistance and inductance of
5002 and 1.5H respectively per phase.
a) Assuming the transformer is ideal and lossless and that all neutrals are grounded,
calculate:
i) The line curents between the transformer and load
i) The phase currents in the delta load
i) The phase voltages of the delta load
iv) The total apparent power supplied to the load
Transcribed Image Text:A generation plant has a 12*V, balanced three-phase, wye comnected synchronous generator. It has two (2) pole pairs and is coupled to and driven by a gas turbine engine which maintains the rotational speed of the rotor at 1500 rpm. The output of the generator is connected to a 12kV/66KV delta-star composite three phase transformer in the plant's substation. The transformer secondary windings then connect to three transmission lines that leave the substation, each of which has a total resistance and inductance of 102 and 95.5mH respectively. The total number of customers supplied by the transfomer is modelled as a balanced three phase delta connected load at the end of the transmission lines with a resistance and inductance of 5002 and 1.5H respectively per phase. a) Assuming the transformer is ideal and lossless and that all neutrals are grounded, calculate: i) The line curents between the transformer and load i) The phase currents in the delta load i) The phase voltages of the delta load iv) The total apparent power supplied to the load
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