Aim. The synthesis of single-circuit system of active shielding of magnetic field, generated by group of high voltage power lines, with different spatial arrangement of shielding coil. Methodology. The synthesis is based on the decision of a multi-criteria stochastic game, in which the vector payoff is calculated on the basis of the Maxwell equations solutions in the quasi-stationary approximation. The game decision is based on the stochastic multiagent optimization algorithms by multiswarm particles. The initial parameters for the synthesis of active shielding system are the location of the high voltage power lines with respect to the shielding space, geometry and number of shielding coils, operating currents, as well as the size of the shielding space and normative value magnetic flux density, which should be achieved as a result of shielding. The objective of the synthesis of the active shielding system is to determine their number, configuration, spatial arrangement, wiring diagrams and shielding coils currents, setting algorithm of the control systems as well as the resulting of the magnetic flux density value at the points of the shielding space. Results. Three variant of single-circuit robust system of active shielding with different spatial arrangement of shielding coil synthesis results for reduction of a magnetic field generated by group of high voltage power lines is given. The possibility of a significant reduction in the level of magnetic flux density of the magnetic field source within and reducing the sensitivity of the system to uncertainty of the plant parameters is given. Originality. For the first time carried out the synthesis, theoretical and experimental research of the robust system of active shielding of magnetic field generated by group of high voltage power lines with different spatial arrangement of compensation coil. Practical value. Practical recommendations from the point of view of the practical implementation on reasonable choice of the spatial arrangement of shielding coil of robust single-circuit system of active shielding of the magnetic field generated by the group of high voltage power lines is given.
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