A 60 Hz three-phase 115 kV transmission line has a series impedance of 30 + j 150 ohms/phase. The shunt susceptance (Bc) of this line is assumed 0. The line to neutral voltages at buses p and q are Vp = 65.06 6.0 degree kV and Vq = 63.51 0 degree kv, respectively. (1) Compute the three phase real power in MW flowing into the series impedance from bus p. Use any one of the three power flow equations (exact, first approximation, or second approximation) to obtain your answer, but if you use an approximate equation, clearly indicate the approximation(s) on which the equation depends.
(2) Compute the three phase real power losses in MW for this transmission circuit.
(3) How does the three phase real power in MW flowing into bus q from the series elements relate to your answers in 1 and 2?