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Ensuring technical objects magnetic silence (TOMS) is an important practical problem when designing new types of equipment and technologies, the requirements for electromagnetic compatibility of technical means, as well as issues of magnetic ecology. The study proposes robust prediction and control TOMS method based on geometric inverse magnetostatics problems solution (GIMSPS) using initial magnetic field (MF) compensation with magnetic characteristics uncertainty (MCU). Geometric forward magnetostatics problems solution (GFMSPS) to calculate TOMS with initial magnetic field sources (IMFS) or compensating units known coordinates and these IMFS or compensating units MF multipole coefficients values. Mathematical model (MM) of TOMS for GFMSPS calculated based on Laplace equation solutions (LES) in spherical coordinate system (SCS), prolate spheroidal coordinate systems (PSCS) and Cartesian coordinate systems (CCS). Both prediction and control GIMSPS are reduced to multi-objective nonlinear minimax optimization problems solutions (MONMMOPS). Both vector nonlinear objective function (VNOF) of MONMMOPS calculated based on LES for scalar potential (SP) of MF of TOMS with MCU using COMSOL Multiphysics software. Both MONMMOPS calculated from Pareto optimal solutions (POS) with binary preference relations (BPR) by hybrid heuristic multi-swarm optimization algorithm (HHMSOA). Results of prediction TOMS far MF based on near MF measurements and compensation of initial MF with MCU for ensuring TOMS given to demonstrate the performance of the proposed methodology.

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Magnetic Silence of an Uncertain Technical Object as a Geometric Inverse Problem of Magnetic Static’s

  • 会议论文

  • 发表日期：

    2026年

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  • Borys Kuznetsov,
  • Ihor Bovdui,
  • Konstantin Chunikhin,
  • Olena Voloshko,
  • Tetiana Nikitina

摘要

Ensuring technical objects magnetic silence (TOMS) is an important practical problem when designing new types of equipment and technologies, the requirements for electromagnetic compatibility of technical means, as well as issues of magnetic ecology. The study proposes robust prediction and control TOMS method based on geometric inverse magnetostatics problems solution (GIMSPS) using initial magnetic field (MF) compensation with magnetic characteristics uncertainty (MCU). Geometric forward magnetostatics problems solution (GFMSPS) to calculate TOMS with initial magnetic field sources (IMFS) or compensating units known coordinates and these IMFS or compensating units MF multipole coefficients values. Mathematical model (MM) of TOMS for GFMSPS calculated based on Laplace equation solutions (LES) in spherical coordinate system (SCS), prolate spheroidal coordinate systems (PSCS) and Cartesian coordinate systems (CCS). Both prediction and control GIMSPS are reduced to multi-objective nonlinear minimax optimization problems solutions (MONMMOPS). Both vector nonlinear objective function (VNOF) of MONMMOPS calculated based on LES for scalar potential (SP) of MF of TOMS with MCU using COMSOL Multiphysics software. Both MONMMOPS calculated from Pareto optimal solutions (POS) with binary preference relations (BPR) by hybrid heuristic multi-swarm optimization algorithm (HHMSOA). Results of prediction TOMS far MF based on near MF measurements and compensation of initial MF with MCU for ensuring TOMS given to demonstrate the performance of the proposed methodology.