Three identical Y-connected resistors of (1.0 angle 0^{circ}) per unit form a load bank that is supplied

Question:

Three identical Y-connected resistors of \(1.0 \angle 0^{\circ}\) per unit form a load bank that is supplied from the low-voltage Y-side of a Y- \(\Delta\) transformer. The neutral of the load is not connected to the neutral of the system. The positive- and negative-sequence currents flowing toward the resistive load are given by

\[
I_{a, 1}=1 \angle 4.5^{\circ} \text { per unit; } \quad I_{a, 2}=0.5 \angle 250^{\circ} \text { per unit }
\]

and the corresponding voltages on the low-voltage Y-side of the transformer are

\[
\begin{aligned}
& V_{a n, 1}=1 \angle 45^{\circ} \text { per unit (Line-to-neutral voltage base) } \\
& V_{a n, 2}=0.5 \angle 250^{\circ} \text { per unit (Line-to-neutral voltage base) }
\end{aligned}
\]

Determine the line-to-line voltages and the line currents in per unit on the high-voltage side of the transformer. Account for the phase shift.

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Related Book For  book-img-for-question

Power System Analysis And Design

ISBN: 9781305632134

6th Edition

Authors: J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

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