TY  - JOUR
T1  - Method for Optimal Design Electromagnets of High-Precision Systems for
Positioning Objects in a Horizontal Plane
AU - Balaban, A.L. AU - Bakhvalov, Yu.A. AU - Grechikhin, V.V. AU - Shaykhutdinov, D.V. 
JO  - Journal of Engineering and Applied Sciences
VL  - 13
IS  - 7
SP  - 1696
EP  - 1700
PY  - 2018
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2018.1696.1700
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2018.1696.1700
KW  - High-precision systems
KW  -positioning
KW  -multiobjective optimization
KW  -inverse problems
KW  -system and temperature
KW  -minimizing
AB  - 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.
ER  -