Simulation of a Magnetic System With a Ferromagnetic Shell

The synthesis of a magnetic system and the design of an actuator complies with all the requirements are impossible without preliminary research, the creation of a mathematical model that reflects the ongoing processes, testing the model for adequacy and reliability, and comparison with existing approaches. The creation of mathematical models as well as their computer implementation for the analysis of the characteristics of the magnetic field in systems with a complex shape of elements and a large number of components with different physical properties is a mathematically and technically difficult task. Exploring the structure of any actuator, one can approach the formulation of problems for the synthesis of magnetic systems with given parameters. This paper presents a mathematical model obtained using the approaches and provisions of the theory of integral equations for calculating the magnetic field induction in a system with a massive magnetic circuit with axial symmetry. The adequacy of the simulation results is confirmed by comparison with the solution by the finite element method. The results obtained make it possible to analyze the distribution of individual components of the magnetic field induction vector at any point in the working area of space and help to solve the problems of synthesizing magnetic systems with given characteristics.