Design of high uniform magnetic field with four coils based on improved wolf pack algorithm

Abstract

Uniform magnetic fields are commonly utilized in scientific and engineering domains for a variety of purposes, such as atomic magnetometers, nuclear magnetic resonance, and other magnetic tools. However, the conventional Helmholtz coils have limitations in generating the highly uniform magnetic fields required for larger devices. To tackle this challenge, a new four-coil Helmholtz configuration has been devised in this paper to produce extremely uniform magnetic fields. Through the utilization of an enhanced Wolf Pack Algorithm (WPA) for optimizing spatial parameters, the four-coil system notably enhances the effective coverage ratio (ECR) of the uniform magnetic field. Finite element simulations confirm that this configuration delivers superior magnetic field uniformity, the ratio of the uniform magnetic field space, known as the ECR, experienced an increase from 18.5495% to 34.3046% when the magnetic field change rate remained below 0.1%. The research underscores the enhanced adaptability and effectiveness of the improved WPA in addressing multi-dimensional optimization challenges, providing a swift and efficient method for attaining uniform magnetic fields. This progress supports applications reliant on uniform magnetic fields, such as geomagnetic navigation, sensor calibration, and magnetic guidance systems, opening up possibilities for future applications of intelligent optimization algorithms in intricate physical and engineering tasks.