For an ideal short transmission line with zero voltage regulation, if receiving end voltage is 150 kV, then the sending end voltage will be:

Modelling of short transmission line:

The receiving end voltage is given by:

\(V_S=AV_R+BI_R\)

At no-load, IR = 0

\(V_S=AV_R+BI(0)\)

\(V_S=AV_R\)

Explanation:

For an ideal short transmission line, the value of A = 1

∴ \(V_S=1\times V_R\)

\(V_S=150\space kV\)

Additional Information Voltage regulation

“Voltage regulation is defined as the ratio of the difference between sending and receiving end voltage to receiving end voltage of a transmission line between the conditions of no load and full load”.

\(VR={V_{R(no \space load)}-V_{R(full\space load)}\over V_R}\)

The receiving end voltage at no-load condition is given by:

\(V_S=AV_R+BI_R\)

At no-load, IR = 0

\(V_S=AV_R+BI(0)\)

\(V_{R(no\space load)}={V_S\over A}\)

and \(V_{R(full\space load)}=V_R\)

The expression for the voltage regulation in the transmission line is:

\(VR={{V_{S}\over A}-V_{R}\over V_R}\)