A three-phase -connected generator has an internal impedance of When the load is removed

Chapter 11, Problem 11.18

(choose chapter or problem)

A three-phase \(\Delta\)-connected generator has an internal impedance of \(9+j 90 \mathrm{~m} \Omega / \phi\). When the load is removed from the generator, the magnitude of the terminal voltage is 13,800 V. The generator feeds a \(\Delta\)-connected load through a transmission line with an impedance of \(20+j 180 \mathrm{~m} \Omega / \phi\). The per-phase impedance of the load is \(7.056+j 3.417 \Omega\).

a) Construct a single-phase equivalent circuit.

b) Calculate the magnitude of the line current.

c) Calculate the magnitude of the line voltage at the terminals of the load.

d) Calculate the magnitude of the line voltage at the terminals of the source.

e) Calculate the magnitude of the phase current in the load.

f) Calculate the magnitude of the phase current in the source.