In the paper we discuss the question of eddy currents induced in screens of a symmetrical three-phase single-pole transmission line. First of all, we determine eddy currents induced in the tubular screen by the magnetic field of the current in the external parallel conductor. This magnetic field is presented as vector magnetic potential in the form of a Fourier series. In the non-conducting external and internal area of the screen we use Laplace equation for the magnetic field strength taking into account the reverse reaction of eddy currents induced in the screen. In the conducting screen we apply Helmholtz equation for eddy currents density. Using classical boundary conditions we determine the density of the currents. The solutions obtained are used to determine the eddy currents induced in all the screens of the GIL under consideration.
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