For a medium transmission line system if the sending end line voltage is 143 kV with the line impedance as 101.24∠74° Ω and shunt admittance of 7.38*10-4∠90° Ω-1.Then the no load line voltage at the receiving end would be _________

To find the no-load line voltage at the receiving end of a medium transmission line, you can use the formula:

[ V_R = V_S – I_S cdot Z ]

where:

– ( V_R ) is the receiving end voltage,

– ( V_S ) is the sending end voltage,

– ( I_S ) is the sending end current,

– ( Z ) is the line impedance.

However, for a no-load condition, the current ( I_S ) can be assumed to be very small, and the shunt admittance can be neglected for this calculation. Thus, the no-load receiving end voltage (( V_R )) can be approximated to be equal to the sending end voltage (( V_S )).

Given:

– Sending end voltage, ( V_S = 143 ) kV,

– Line impedance, ( Z = 101.24angle74° ) Ω,

– Shunt admittance ( Y = 7.38 times 10^{-4}angle90° ) Ω(^{-1}) (not needed for this approximation).

For the no-load condition:

[ V_R approx V_S ]

Hence, the no-load line voltage at the receiving end would be approximately:

143 kV.