Chapter 2, Problem 2.43P

A three-phase line, which has an impedance of $\left(2+j4\right)\Omega$ per phase, feeds two balanced three-phase loads that are connected in parallel. One of the loads is Y-connected with an impedance of $\left(30+j40\right)\Omega$ per phase, and the other is $\Delta$ -connected with an impedance of $\left(60-j45\right)\Omega$ per phase. The line is energized at the sending end from a 60-Hz, three-phase, balanced voltage source of $120\sqrt{3}\text{V}$ (rms. line-to-line). Determine (a) the current, real power. and reactive power delivered by the sending-end source: (b) the line-to-line voltage at the load: (C) the current per phase in each load: and (d) the total three-phase real and reactive powers absorbed by each load and by the line. Check that the total three- phase complex power delivered by the source equals the total three-phase power absorbed by the line and loads.