An optimal design of magnetic actuators using topology optimization and the response surface method

The magnetic actuator is a device that transforms electric energy to mechanical energy. By mechanical energy transformation, some part of the electric energy creates force, and the other part is stored within the ferrous material. An actuator with improved magnetic force can be designed by reducing the stored energy within the ferrous material at the core or the armature. Topology optimization based on the homogenization design method (HDM) is used for the initial design by determining the porous hole size of each element created. The homogenized magnetic permeability is applied in calculation of the magnetic energy stored. The magnetic energy is calculated by finite element analysis and the sensitivity is calculated mathematically by determining the effects of the magnetic energy according to the permeability change at each element. Repeating the process of the porous hole size determination by the sequential linear programming (SLP), eventually leads to a design of an actuator that makes the most improved magnetic force within the limited volume. The initial actuator model derived from topology optimization uses parameter optimization for detail designs. In parameter optimization design, the response surface method (RSM) based on the central composite design is used to obtain a clear final design.

[1]  N. Olhoff,et al.  An investigation concerning optimal design of solid elastic plates , 1981 .

[2]  G.I.N. Rozvany.  A new calculus for optimum design , 1967 .

[3]  M. Bendsøe,et al.  Generating optimal topologies in structural design using a homogenization method , 1988 .

[4]  David A. Lowther,et al.  Automated design of magnetic devices by optimizing material distribution , 1996 .

[5]  Jin-kyu Byun,et al.  Topology optimization of electrical devices using material energy and sensitivity , 1999, IEEE International Magnetics Conference.

[6]  Jeonghoon Yoo,et al.  Structural optimization in magnetic devices by the homogenization design method , 2000 .

[7]  Peter P. Silvester,et al.  Finite Elements for Electrical Engineers , 1983 .

[8]  N. Kikuchi,et al.  Optimal structural design considering flexibility , 2001 .

[9]  H. Fusayasu,et al.  Optimization of a magnetic actuator with Taguchi method and multivariate analysis method , 1998 .

[10]  David A. Lowther,et al.  Composite microstructure of permeable material for the optimized material distribution method of automated design , 1997 .

[11]  Martin P. Bendsøe,et al.  Optimization of Structural Topology, Shape, And Material , 1995 .

[12]  R. Haftka,et al.  Elements of Structural Optimization , 1984 .

[13]  S. Hubrig,et al.  Magnetic Fields , 2015, Physics Problems for Aspiring Physical Scientists and Engineers.

[14]  H. Mlejnek,et al.  An engineer's approach to optimal material distribution and shape finding , 1993 .

[15]  P. C. Sen,et al.  Principles of Electric Machines and Power Electronics , 1989 .

[16]  R. H. Myers,et al.  Response Surface Methodology: Process and Product Optimization Using Designed Experiments , 1995 .

[17]  Gih-Keong Lau,et al.  On optimal design of HDD suspension using topology optimization , 2002 .

[18]  Jeonghoon Yoo,et al.  Topology optimization in magnetic fields using the homogenization design method , 2000 .

[19]  Yoon Young Kim,et al.  A new optical pickup suspension design , 1999 .

[20]  William Prager,et al.  Optimal layout of a truss for alternative loads , 1973 .