Nonlinear optimization methods applied to magnetic actuators design

A penalty method (PM) and a method of moving asymptotes (MMA) are used to solve constrained nonlinear magnetostatic optimization problems. These methods are based on the analysis of the sensitivity of an objective function to a design parameter. Theoretical aspects are considered and numerical results from two different magnetic actuators (a coreless magnetic actuator and an automotive magnetic actuator) are discussed. These algorithms are powerful, efficient, and easy to use when used in design to synthesize these electromagnetic devices. Considering the number of iterations required to solve the problems, MMA can be viewed as computationally more efficient than PM. >

[1]  M. J. D. Powell,et al.  How bad are the BFGS and DFP methods when the objective function is quadratic? , 1986, Math. Program..

[2]  K. Svanberg The method of moving asymptotes—a new method for structural optimization , 1987 .

[3]  F. Moon,et al.  Magneto-Solid Mechanics , 1986 .

[4]  Jean-Paul Yonnet,et al.  Optimization of a linear permanent magnet actuator , 1991 .

[5]  Ashok Dhondu Belegundu,et al.  A Study of Mathematical Programming Methods for Structural Optimization , 1985 .

[6]  Francesco Trevisan,et al.  A methodological analysis of different formulations for solving inverse electromagnetic problems , 1990 .

[7]  R. R. Saldanha,et al.  A dual method for constrained optimization design in magnetostatic problems , 1991 .

[8]  Rodney R. Saldanha,et al.  Inverse problem methodology and finite elements in the identification of cracks, sources, materials, and their geometry in inaccessible locations , 1991 .

[9]  K. Svanberg,et al.  An algorithm for optimum structural design using duality , 1982 .

[10]  P. Biringer,et al.  A proposal for a finite-element force approximation of an automotive magnetic actuator , 1990 .

[11]  B. N. Pshenichnyi Algorithms for general mathematical programming problems , 1970 .

[12]  B. P. Lequesne Finite-element analysis of a constant-force solenoid for fluid flow control , 1988 .

[13]  Raphael T. Haftka,et al.  Applications of a Quadratic Extended Interior for Structural Optimization Penalty Function , 1976 .