Electromagnetic Microparticle Control Systems Modeling Based on the Standard Element Method

Abstract

The paper describes a simulation of the electromagnetic control system structure of microparticles based on containing dc coils. The computational experiment results for magnetic field calculation created by the simulated system are presented. Comparative estimates of modern software environments accuracy based on the finite element method and the SEM software package based on the standard element method are obtained. The authors continued the development of numerical-analytical methods of standard elements introducing a new standard element for modeling DC coils. The introduction of such standard elements opens a possibility of applying standard element method without combining them with the finite element method. The use of standard elements provides for a good approximation of an outer boundary of the computational domain, the interface of its parts with linear and nonlinear properties, complete filling of the computational domain standard elements. The system of linear algebraic equations can be formed with respect to the Fourier coefficients of the representation of solutions at the boundaries of standard elements for their bonding with adjacent standard elements.