Consider the Single-Line Diagram of the Power System Shown in Figure

Essay

Consider the single-line diagram of the power system shown in Figure P3.11. Equipment rating are:}
$\begin{array}{ll}\text { generator 1: } & 750 \mathrm{MVA}, 18 \mathrm{kV}, \mathrm{X}^{\prime \prime}=0.2 \text { per unit } \\\text { generator 2: } & 750 \mathrm{MVA}, 18 \mathrm{kV}, \mathrm{X}^{\prime \prime}=0.2 \\\text { synchronous motor 3: } & 1500 \mathrm{MVA}, 20 \mathrm{kV}, \mathrm{X}^{\prime \prime}=0.2 \\\begin{array}{l}\text { 3-phase } \Delta-\mathrm{Y} \text { transformers } \\\mathrm{T}_{1}, \mathrm{~T}_{2}, \mathrm{~T}_{3}, \mathrm{~T}_{4}:\end{array} & 750 \mathrm{MVA}, 500 \mathrm{kV} \mathrm{Y} / 20 \mathrm{kV} \Delta, \mathrm{X}=0.1 \\\text { 3-phase Y-Y transformer } \mathrm{T}_{5}: & 1500 \mathrm{MVA}, 500 \mathrm{kV} \mathrm{Y} / 20 \mathrm{kV} \mathrm{Y}, \mathrm{X}=0.1\end{array}$
Neglecting resistance, transformer phase shift, and magnetizing reactance, draw the equivalent reactance diagram. Use a base of $100 \mathrm{MVA}$ and $500 \mathrm{kV}$ for the 40 -ohm line. Determine the per-unit reactances.

FIGURE P3.11