Calculation of three-dimensional stationary magnetic fields of actuators with shape memory effect using point magnetic moments

Abstract

The problems of calculation of three-dimensional stationary magnetic fields of actuators with shape memory, which are used in control devices of electrical systems and complexes are considered. A special feature of the actuators is an open magnetic system, which causes a large dimension of the problem when calculating the fields by the finite element method. It is proposed to use a mesh-free method for calculating the field using magnetic moments of point sources to describe the fields in ferromagnets and the surrounding space. This approach is tested on a problem with a known analytical solution. A mathematical model of the magnetic field of the actuator and an algorithm for solving the problem of calculating the field parameters are constructed. The use of point magnetic moments can reduce the dimension of the field calculation problem and, as a result, reduce the calculation time. The developed method is advisable to use in the modeling of three-dimensional fields of various electrical devices.The problems of calculation of three-dimensional stationary magnetic fields of actuators with shape memory, which are used in control devices of electrical systems and complexes are considered. A special feature of the actuators is an open magnetic system, which causes a large dimension of the problem when calculating the fields by the finite element method. It is proposed to use a mesh-free method for calculating the field using magnetic moments of point sources to describe the fields in ferromagnets and the surrounding space. This approach is tested on a problem with a known analytical solution. A mathematical model of the magnetic field of the actuator and an algorithm for solving the problem of calculating the field parameters are constructed. The use of point magnetic moments can reduce the dimension of the field calculation problem and, as a result, reduce the calculation time. The developed method is advisable to use in the modeling of three-dimensional fields of various electrical devices.