Figure shows a 50 Hz, highvoltage, transmission line. The relationships between the sending and receiving end voltages and currents are given by the complex ABCD equations:
\( V_S=V_R(A_1+jA_2)+I_R(B_1+jB_2) \)
\( I_S=V_R(C_1+jC_2)+I_R(D_1+jD_2) \)
where 'S' stands for sendingend and 'R' stands for receivingend
(a) Given the parameter values in TABLE C and an opencircuit received voltage measured as 88.9 kV, calculate the values of \( V_S \) and \( I_S \) and hence the power \( P_{SO} \) absorbed from the supply by the transmission line on open circuit.
(b) If the line is modelled by the Tcircuit of FIGURE 3(b), see if you can estimate the primary line coefficients R, L, G and C. The line is 50 km long.
What I'm thinking is \( I_R=0 \) as this is an opencircuit and given \( V_R \); \( V_S \) and \( I_S \) can be calculated with matrix.
\( V_S=77325+j3149 KV \)
\( I_S=j119.9A \)
But I don't think that is correct because \( V_S \) should not be lower than \( V_R \), also 50Hz frequency is given for a reason, I'm sure it has to be used somewhere.
And as for question (b) I have only got ideas. I can find coefficient of propagation γ and \( Zo \) from R,L,G,C but I don't know how to produce them vice versa (from ABCD), I don't see where I could go from there either.
Any comments are appreciated.
\( V_S=V_R(A_1+jA_2)+I_R(B_1+jB_2) \)
\( I_S=V_R(C_1+jC_2)+I_R(D_1+jD_2) \)
where 'S' stands for sendingend and 'R' stands for receivingend
(a) Given the parameter values in TABLE C and an opencircuit received voltage measured as 88.9 kV, calculate the values of \( V_S \) and \( I_S \) and hence the power \( P_{SO} \) absorbed from the supply by the transmission line on open circuit.
(b) If the line is modelled by the Tcircuit of FIGURE 3(b), see if you can estimate the primary line coefficients R, L, G and C. The line is 50 km long.
What I'm thinking is \( I_R=0 \) as this is an opencircuit and given \( V_R \); \( V_S \) and \( I_S \) can be calculated with matrix.
\( V_S=77325+j3149 KV \)
\( I_S=j119.9A \)
But I don't think that is correct because \( V_S \) should not be lower than \( V_R \), also 50Hz frequency is given for a reason, I'm sure it has to be used somewhere.
And as for question (b) I have only got ideas. I can find coefficient of propagation γ and \( Zo \) from R,L,G,C but I don't know how to produce them vice versa (from ABCD), I don't see where I could go from there either.
Any comments are appreciated.
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