The methodology of multi objective design of active-passive shielding system for overhead power lines magnetic field in residential buildings space based on metaheuristic optimization method

• Date: 2026
• Main Authors: Kuznetsov, B. I., Kutsenko, A. S., Nikitina, T. B., Bovdui, I. V., Chunikhin, K. V., Kolomiets, V. V.
• Format: Article
• Language: English
• Published: National Technical University "Kharkiv Polytechnic Institute" and Аnatolii Pidhornyi Institute of Power Machines and Systems of NAS of Ukraine 2026
• Subjects: overhead power line; magnetic field; combined electromagnetic active and passive shielding system; design computer simulation; experimental research
• Online Access: https://eie.khpi.edu.ua/article/view/352731
• Journal Title: Electrical Engineering & Electromechanics

Problem. Most studies of power frequency magnetic field reduced to safe level in in residential buildings located near overhead power lines carried out based on passive or active electromagnetic shielding, but there is no methodology for designing active-passive systems that include active and solid or multi-circuit passive shields. The goal of the work is to develop the methodology of multi objective design of active-passive electromagnetic shielding system, consisting of active and solid self or multi-circuit passive parts to improve shielding efficiency of initial magnetic field in residential building edges generated by overhead power lines to sanitary standards level. This goal proposed to achieve based on metaheuristic optimization method Methodology. Multi objective design methodology of active-passive shielding system based on solution of the geometric inverse problem of magnetostatics for the resulting magnetic field generated by the transmission line wires, compensation windings of the active shielding system and a passive shield in the form of a solid or multi-loop shield. The geometric forward problem is solved based on solutions of Maxwell’s equation for magnetic field three-dimensional model using the COMSOL Multiphysics software. The solution of the geometric inverse problem of magnetostatics is formulated as a minimax vector problem of nonlinear programming. The solution of the minimax vector problem of nonlinear programming is calculated based on the metaeristic optimization algorithm from Pareto optimal solutions taking into account binary preference relations. Results. During combined active and solid or multi-circuit passive shielding system design spatial arrangement coordinates of solid or multi-loop passive shield and compensating windings, as well as windings currents and phases of active shield calculated. New scientific results are theoretical and experimental studies of a designed combined active and of solid or multi-circuit passive shielding system efficiency for magnetic field created by overhead power lines. Scientific novelty. For the first time multi objective design methodology for combined active and solid or multi-circuit passive shielding system taking into account original field shielding effectiveness decrease in residential building edges for more effective reduction of industrial frequency magnetic field created by overhead power lines developed. Practical value. Practical recommendations for the reasonable choice of the coordinates of the spatial arrangement of compensation windings of the active shielding system and a passive shield in the form of a solid or multi-loop shield, as well as the currents and phases in the compensation windings, parameters of regulators of the open and closed controls of the two degrees of freedom active shielding system and parameters of positions of magnetic field sensors of the active shielding system for magnetic field generated by overhead power lines in residential building space are given. The possibility of reducing the initial magnetic field induction to the sanitary standards level shown. References 48, figures 11.