Thank you guys for your efforts.
Initially, I would like to say that things are normally done because who does did not know that they are impossible.
Gunnar, I agree with most you said:
“It will probably be possible to build an isolated platform and put a piece of conductor close to the transmission line so that varying distance would not be a problem. But the safety distance when dealing with 230 and 500 kV is such that the induction between the "primary" and "secondary" will be very small - if you do not apply system voltage insulation. And then, you could just as well use a transformer. With much better results.”
I think that a “hybrid air-iron core transformer” could be used, with the iron being like a half C following the path of the magnetic field created by the lateral phase (cable) of the transmission line, with a coil wound on it. In this case, the induced voltage. It will be like a CT broken in a half but not touch the cable. Gunnar, could you do this experience, please? Thank you!
Slava, I think this discussion is more valuable than 0.00002$. Please, rise your offer!
In our region is like yours (I think), to much sun and little water. The distribution company have already tried solar (photovoltaic) technology but had no success. I do not know why. May be because they are expensive and need too much maintenance (?).
Bill, for safety, we do not like things directly connected in the transmission line phase to ground. So, capacitor dividers in remote areas are almost forbidden, as if they loose their ground connection a full voltage will be at that connection. May be in the future, with surge arresters installed along the transmission line to improve its performance, the way they think could change.
David, I think that what Bill said there is no relationship with the reactive compensation of transmission line. Also, the capacitance of these capacitor dividers is insignificantly small when compared with those of the transmission line. I agree with you when you and Gunnar say that “if it were practical it would already be used in practice”. But, remember that the use of things depends on your needs. In this case we need to do something to supply small remote villages and it is important to know if this kind of device is feasible.
Again, I would like to thank all of you for discussing this matter and for playing in this forum.