Calculation of Effective Magnetic Properties Rod Matrices of High-Gradient Magnetic Separators

It is shown that generalization of the universal equation of magnetostatics concerning the magnetization vector of the medium as applied to double-periodic heterogeneous media allows obtaining a universal mathematical model to study rod matrices of high-gradient magnetic separators. The results of numerical modelling of the homogenization problem for matrices of arbitrary geometry and concentration of elements forming the inhomogeneous field both in linear and nonlinear formulations are presented. Particular attention is paid to the need of determining effective matrix parameters both when designing a separator and optimizing geometric parameters of its matrix.