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HW8Sol

HW8Sol - EEL 3216 Introduction to Power Systems Homework 8...

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EEL 3216 Introduction to Power Systems Homework # 8 A balanced 3-phase impedance type load is rated 3 MVA at 4.16 kV, with a lagging power factor of 0.75. It is supplied by a generator via a 2 km long overhead transmission line. The GMD of the conductors is 50 in. The generator is rated 4 MVA at 4.16 kV with a synchronous impedance of j1pu. a) Size the conductor for that load assuming an ambient temperature of 25°C, no wind, and allowing a conductor temperature of 100°C (use tables from lecture notes 14 and 15). b) For 4.16 kV at the load what is the voltage regulation of the T-Line? c) What is the magnitude of the induced voltage of the generator in pu? Solution a) In order to size the conductor we need to know the current it is supposed to carry. Form the load given we calculate 3 0.416 416 3 3 4.16 S I kA A V , with a phase angle of 1 cos ( ) 42.42 M ± ± ± q I PF Table I (lecture 15, page 1) provides ampacity (i.e. current carrying allowance) for different ambient conditions and conductor sizes. For a conductor temperature of 100°C

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HW8Sol - EEL 3216 Introduction to Power Systems Homework 8...

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