Power System Analysis I

A three phase 220KV, 50Hz transmission line supplies a power of 200MW at a power factor of 0.8 lagging and line has ABCD parameters as follows:

$$\begin{bmatrix}A & B\\ C & D\end{bmatrix}=\begin{bmatrix}0.9\angle 0.001^\circ & B\,\Omega\\ 1.14\times10^{-3}\angle 90^\circ & 0.9\angle 0.001^\circ\end{bmatrix}$$

Determine the following:

i) Sending end voltage and current

ii) Real and reactive power at sending and at full load.

iii) Real and reactive power loss in line at full load.

iv) Voltage regulation and line efficiency at full load.