Transmission line data:

Data:

$$ Active power of the load $($P$)$: $50$ kW

$$ Power factor of the load $($PF$)$: $0\mathrm{.}8($lagging$)$

$$ Line$-$to$-$line voltage at the load $($V$\_$LC$)$: $13\mathrm{.}8$ kV

$$ Line resistance $($R$)$: $2$

$$ Line inductance $($L$)$: $0\mathrm{.}8$ H

$$ Line capacitance $($C$)$: $0\mathrm{.}0003$ F

$$ Required series compensation: $60\%$ of the line impedance.

$$ Line length: $250$ km

Determine:

$1.$ Characteristic impedance and propagation constant.

$2.$ The generalized long line constants A$,$ B$,$ C$,$ D$.$

$3.$ Total voltage, current and power at the generating end.

$4.$ Voltage regulation.

$5.$ Parameters A$,$ B$,$ C$,$ D of the compensation circuit.

$6.$ New generalized constants of the power system after

series compensation.

$7.$ Conclusion of the results obtained.