A 500 kV, 400 km, 50-Hz three-phase uncompensated overhead transmission line,

assumed to be loss-less, is composed of three conductors per phase with flat horizontal

spacing of 9 m. The bundle spacing is 30 cm and conductors’ diameter and GMR are 3

cm and 1.3 cm, respectively.

NOTE: Please keep at least four significant decimal points during calculation in this

assignment in order to obtain more accurate results for the practical part.

(1) Determine the phase constant ??, the surge impedance ????

, velocity of propagation

?, and the wavelength ? of the line. (12 marks)

(2) Determine the ABCD parameters. (12 marks)

(3) Calculate voltage, current, real and reactive power at the sending end, and the

percent voltage regulation of the line if the receiving end load is 985 MW at 0.96

power factor lagging and at 500kV (|VR| = 500kV). (15 marks)

(4) What will the load be to maintain |VS

| = |VR| with zero reactive power loss along

the transmission line? (3 marks)

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ELEC4300/TKS/SEM1/2019 1 University of Queensland School of Information Technology and Electrical Engineering ELEC4300/ELEC7303: Power Systems Analysis – Assignment 1 thSubmit this assignment by 5pm 12 April (Friday) 2019 A 1 (42 Marks) A 500 kV, 400 km, 50-Hz three-phase uncompensated overhead transmission line, assumed to be loss-less, is composed of three conductors per phase with flat horizontal spacing of 9 m. The bundle spacing is 30 cm and conductors’ diameter and GMR are 3 cm and 1.3 cm, respectively. NOTE: Please keep at least four significant decimal points during calculation in this assignment in order to obtain more accurate results for the practical part. (1) Determine the phase constant ?? , the surge impedance ?? , velocity of propagation ?? ?, and the wavelength ? of the line. (12 marks) (2) Determine the ABCD parameters. (12 marks) (3) Calculate voltage, current, real and reactive power at the sending end, and the percent voltage regulation of the line if the receiving end load is 985 MW at 0.96 power factor lagging and at 500kV (|V | = 500kV). (15 marks) R| | | |(4) What will the load be to maintain V = V with zero reactive power loss along S Rthe transmission line? (3 marks) P 1 (58 Marks) Write a brief report for the following questions. You MUST show your graphic results clearly in your report. An example of a PowerWorld figure is shown as follows. Make sure you have indicated the necessary parameters. Please do not copy or forge your graphs. We will check your PowerWorld programs. If the results do not match, you will get ZERO marks. (NOTE: you do not have to do the calculation. You should use PowerWorld to help you solve these problems.) Based on line parameters in A1: (1) Use PowerWorld to check your calculation in question A1(4). (8 marks) (2) For the original uncompensated line in A1, if the load increases to 1100MW at unity power factor: | |a. What is the magnitude of the receiving…

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