Abstract
A method to optimize the topology of hard as well as soft magnetic structures is implemented using the density approach for topology optimization. The stray field computation is performed by a hybrid finite element–boundary element method. Utilizing the adjoint approach the gradients necessary to perform the optimization can be calculated very efficiently. We derive the gradients using a “first optimize then discretize” scheme. Within this scheme, the stray field operator is self-adjoint allowing to solve the adjoint equation by the same means as the stray field calculation. The capabilities of the method are showcased by optimizing the topology of hard as well as soft magnetic thin film structures and the results are verified by comparison with an analytical solution.
Highlights
A method to optimize the topology of hard as well as soft magnetic structures is implemented using the density approach for topology optimization
In order to obtain a certain magnetic field, the geometry of a magnetic structure is optimized. This can e.g. be the geometry of a permanent magnet producing a well defined magnetic field, or a soft magnetic structure shaping the field possibly generated by an electric current
An algorithm to optimize the topology of magnetic structures based on a hybrid finite element–boundary element method (FEM–BEM) method and the density approach for topology optimization has been presented
Summary
A method to optimize the topology of hard as well as soft magnetic structures is implemented using the density approach for topology optimization. In order to efficiently calculate gradients during optimization, the adjoint approach is utilized. After that the gradient necessary to perform the optimization and the adjoint equation are introduced.
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