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Journal of Engineering and Applied Sciences
Year: 2018  |  Volume: 13  |  Issue: 7  |  Page No.: 1696 - 1700

Method for Optimal Design Electromagnets of High-Precision Systems for Positioning Objects in a Horizontal Plane

A.L. Balaban, Yu.A. Bakhvalov, V.V. Grechikhin and D.V. Shaykhutdinov    

Abstract: The study is proposed of the method for optimal design electromagnets of high-precision systems for positioning objects in a horizontal plane, based on the solving conditionally-correct inverse problems and the transformation of constraints on the tractive force, flux density in the gap of the electromagnet of high-precision system and temperature of the coil in the criteria (objective functions). Minimization of these objective functions is performed by gradient descent numerically. In this case is solved sequence of the direct tasks of calculation of magnetic and heat fields. The fourth criterion is the mass of the electromagnet. Minimizing mass is performed analytically. Objective functions are ranked by importance. Method is a modification of the method for solving multicriteria problems the method of lexicographic ordering. Modification takes into account the features of the designed object; each objective function depends on a limited number of parameters of the object. The formula for calculating the optimal parameters are given. The study shows the results of experimental research. The proposed method is more effective than the known methods for example, the method of the main criterion and the method of penalty functions. The method is highly efficient and can be used in optimal design of a variety of electrotechnical devices.

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