Surrogate Synthesis of System of Active Shielding of Magnetic Field Generated by Group of Overhead Power Lines

The problem of reducing the magnetic field generated by a group of overhead power lines by means of active shielding is considered. First, a metamodel of the magnetic field generated by a group of overhead power lines was synthesized. The task of synthesizing the metamodel of the magnetic field is reduced to a zero-sum antagonistic game. The components of payoff of the game are the deviations of the metamodel induction vector from the experimentally measured values, which are calculated based on the Biot-Savart law. Then, on the basis of the synthesized metamodel, the surrogate synthesis of the parameters of the active screening system is performed. The problem of synthesizing the parameters of an active screening system is also reduced to a zero-sum antagonistic game. The components of the payoff of game are the induction vectors of the resulting magnetic field, which are also calculated on the basis of Biot-Savart law. The solutions of the games are calculated on the basis of multiswarm stochastic optimization algorithms. It is shown that the problem of synthesizing a metamodel is an equivalent problem to the problem of synthesizing an active screening system.