Chapter 5, Problem 5.31P

A 500-kV, 300-km, 6()-Hz, three-phase overhead transmission line, assumed to be lossless, has a series inductance of 0.97 mH/krn per phase and a shunt capacitance of $0.0115\mu F\text{/km}$. per phase. (a) Determine the phase constant p, the surge impedance $Z_c,$ velocity of propagation v, and the wavelength $\lambda$ of the line (b) Determine the voltage, current, real and reactive power at the sending end, and the percent voltage regulation of the line if the receiving-end load is 800 MW at 0.8 power factor lagging and at 500 kV.