Chapter 8, Problem 8.12P

A Y-connected load bank with a three-phase rating of 500 kVA and 2300 V consists of three identical resistors of $10.58\Omega$. The load bank has the following applied voltages: $V_{ab}=1840\angle 82.8°,V_{bc}=2760\angle -41.4°,$ and $V_{ca}=2300\angle 180°\text{V}.$ Determine the symmetrical components of (a) the line-to-line voltages $V_{ab0},V_{ab1},$ and $V_{ab2},$ (b) the line-to-neutral voltages and $V_{an0},V_{an1},$ and $V_{an2},$ (c) and the line currents $I_{a0},I_{a1},$ and $I_{a2}.$ (Note that the absence of a neutral connection means that zero-sequence currents are not present.)