Invited Review Paper OPTIMAL DESIGN OF NONLINEAR MAGNETIC SYSTEMS USING FINITE ELEMENTS
نویسنده
چکیده
An inverse finite element method was developed to find optimal geometric parameters of a magnetic device to approximate a desired magnetic flux density distribution at certain test points and directions selected in the device. The augmented Lagrange multipliers method was utilized to transform the constrained problem consisting of a least-square objective function and a set of constraint equations to the unconstrained problem. A second-order approach based on the Lagrange-Newton method was used to minimize the unconstrained problem to improve the design iteratively. Numerical calculation of derivatives in the second-order design sensitivity analysis becomes a difficult task if saturation in material properties is accounted. A novel approach is developed to minimize the computational effort by directly combining the optimization process with the nonlinear finite element equations. The best capabilities to parametrize the device geometry and to model the nonlinear material characteristics were incorporated into the optimization program for rapid sensitivity analysis. Demonstration of various test cases arising from optimally designing electrical machinery verified the validity of the overall theory and developments.
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