A three-phase power of (460 mathrm{MW}) is transmitted to a substation located (500 mathrm{~km}) from the source

Question:

A three-phase power of $460 \mathrm{MW}$ is transmitted to a substation located $500 \mathrm{~km}$ from the source of power. With $\mathrm{V}_{\mathrm{S}}=1$ per unit, $\mathrm{V}_{\mathrm{R}}=0.9$ per unit, $\lambda=5000 \mathrm{~km}, \mathrm{Z}_{\mathrm{c}}=500 \Omega$, and $\delta=36.87^{\circ}$, determine a nominal voltage level for the lossless transmission line based on Eq. (5.4.29) of the text.

Using this result, find the theoretical three-phase maximum power that can be transferred by the lossless transmission line.

Eq. (5.4.29)