[en] Steady states of the electron current in a high-voltage diode and of the transmission line of conical configuration at emission current restriction by the space are considered on the basis of the self-consistant kinetic description in connection with the prospects of controlled thermonuclear synthesis. Proceeding from the magnetic self-insulation principle solved are the problems of controling the emission electron current in the double-electron geometry to prevent it from being present on the anode in the line regime and to achieve its maximum focusing in the diode regime. The motion of plasma boundaries as well as the probable contribution of the ion component of the current were not taken into consideration. It is shown that the beam focusing on the system axis takes place at sufficiently strong currents. It is connected with the fact that some part of the full diode current runs on the cathode surface. The results were compared with existing approximate diode models and with the experimetal data on focusien of strong-current beams