Chapter 3, Problem 3.41P

Consider the single-line diagram of the power system shown in Figure 3.38. Equipment ratings are

Generator 1: $\text{1000}\text{MVA,}\text{18}\text{kV,}\text{X"}\text{=}\text{0}\text{.2}\text{per}\text{unit}$

Generator 2: $\text{1000}\text{MVA,}\text{18}\text{kV,}\text{X"}\text{=}\text{0}\text{.2}\text{p}\text{.u}\text{.}$

Synchronous motor 3: $\text{1500}\text{MVA,}\text{20}\text{kV,}\text{X"}\text{=}\text{0}\text{.2}\text{p}\text{.u}\text{.}$

Three-phase $\text{Δ-Y}$ transformers ${\text{T}}_{\text{1}},{\text{T}}_{\text{2}},{\text{T}}_{\text{3}},{\text{T}}_{\text{4}},$: $\text{1000}\text{MVA,}\text{500}\text{kV,}\text{Y/20}\text{kV}\Delta ,\text{X}\text{=}\text{0}\text{.1}\text{p}\text{.u}\text{.}$

Three-phase $\text{Y}-\text{Y}$ transformer ${\text{T}}_{\text{5}}$: $\text{1500}\text{MVA,}\text{500}\text{kV,}\text{Y/20}\text{kV}\Delta \text{Y,}\text{X}\text{=}\text{0}\text{.1}\text{p}\text{.u}\text{.}$

Neglecting resistance, transformer phase shift, and magnetizing reactance, draw the equivalent reactance diagram. Use a base of 100 MA and 500 kV for the 50-ohm line. Determine the per-unit reactances.