Optimal design of shell-type electromagnets of XY-coordinate electric actuator

Abstract

This article is devoted to the application of the method for optimal design of the shell-type electromagnets based on the solving inverse problems of stationary magnetic field theory by finite element method and on the transformation of constraints on magnetic induction and a tractive force in the objective functions. Minimization of these objective functions is performed by gradient descent numerically. Minimizing third objective function (mass of the electromagnet) is performed analytically. Objective functions are ranked by importance. Method is a modification of the method for solving multicriteria problems and called the method of lexicographic ordering. The modification takes into account the features of the designed object; each objective function depends on a limited number of parameters of the object. In addition, the example of optimal design of the shell-type electromagnet XY-coordinate of electric actuator of magnetic levitation systems is given. The method is highly efficient and can be used in design of electromagnets that used not only in levitation systems, but also for the design similar electrotechnical devices. Restriction on the magnetic induction in the air gap can be omitted.