Synthesis of Optimal Electromagnetic Actuators on Basis of Solving Inverse Problems

摘要

The article is devoted to method of optimal design of electromagnet actuators based on the solution of conditionally correct inverse problems with two criteria. The first criterion obtained from restriction allows providing a predetermined tractive force of the armature to the stator. Criterion minimizing is performed with the numerical method of gradient descent. Algorithm for solving the inverse problem of determining the unknown quantities is performed. Direct task of calculating the three-dimensional magnetic field of the actuator is solved at each iteration of the algorithm with the finite element method. The second criterion is the mass of the actuator. Minimization of the mass is performed analytically. The formulas for calculating optimal parameters are obtained. The solution of multicriteria problem is performed by the lexicographical method modified with due regard to the problem nature. The authors propose the algorithm of optimization. In addition, the results of experimental researches are given. The method described is more efficient than the known ones, for example, the method of the main criterion and the method of penalty functions. This method may be used for design of similar electrotechnical devices.