# Dresden 2020 – wissenschaftliches Programm

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# MA: Fachverband Magnetismus

## MA 42: Posters Magnetism I

### MA 42.54: Poster

### Mittwoch, 18. März 2020, 15:00–18:00, P3

**A reverse design methodology for 3-D induction coil windings** — •Assja Laas^{1} and Christian Schröder^{1,2} — ^{1}Bielefeld Institute for Applied Materials Research (BIfAM), Computational Materials Science and Engineering (CMSE), University of Applied Sciences Bielefeld, Department of Engineering Sciences and Mathematics, Interaktion 1, D-33619 Bielefeld — ^{2}Faculty of Physics, Bielefeld University, Universitätsstraße 25, 33615 Bielefeld, Germany

In our study we focus on efficient design strategies for three-dimensional induction coils by exploiting an inverse methodology. Compact devices for inductive energy and information transfer require the design of appropriate non-conventional 3-D induction coils. For efficiency and energy reasons the geometry and topology of the coils needs to be adapted to the corresponding application. This is because inside the device there is only restricted space available for mounting the coil and, one is only interested in the near-field characteristics of the generated magnetic field. In our approach, we specify a target field over a certain region and approximate the generating current density through a Fourier series expansion. Because of the ill-posed nature of this problem, we use a Tikhonov regularization with a penalty term in order to calculate the unknown coefficients of the Fourier series expansion. We test our approach by reverse-calculating the windings of simple current carrying coil geometries, such as a circular loop and a linear wire, from their magnetic near-field distribution. Furthermore, we discuss the effect of different penalty terms on the obtained coil geometries and the accuracy of our approximation.