remote terminal voltage - transmission line

[mmoisan]

Hello Everyone,
We are developing some control applications in the local terminal of a 110 kV transmission line. The control requires to know the voltage in the remote terminal of the transmission line. We need to compute (or estimate) that remote terminal voltage, as we d like to avoid the implementation of a communication channel.
In the local terminal, all the key variables are available (voltaje, line current, active and reactive power, etc.). Assuming that the line positive sequence is available, could you please suggest a robust method to compute the voltage in the remote terminal?
Any advice is welcome! Thanks in advance.

 

[davidbeach]

V_1R=V_1L-I₁*Z₁

 

[electricpete]

If it is a very long line, pi equivalent circuit might be needed. In which case you'd need to compute I1 in equation above based on your measured current plus current that flows to ground in the lumped-equivalent capacitance at your end of the line.

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(2B)+(2B)' ?

 

[cuky2000]

A possible method to compute the voltage in the remote terminal
could be implemented modeling the line as a single port with the ABCD constants determined considering line length and calibration during measurement and field test.

 

[mmoisan]

Hi there!
Thanks everybody! I agree that a valid answer to the problem is given by basic network equations, as pointed out above. Initially I expected something more complex, as an state observer for example. We will be running some tests.
Thanks again.