# Berlin 2018 – wissenschaftliches Programm

## Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe

# MA: Fachverband Magnetismus

## MA 21: Poster I

### MA 21.82: Poster

### Dienstag, 13. März 2018, 09:30–13:00, Poster A

**A target field approach for the design of non-conventional 3-D coils** — •Assja Laas and Christian Schröder — 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

The design of coils for high-frequency applications in the area of inductive energy or information transfer is a challenging task. For efficiency and energy reasons the geometry and topology of the coils needs to be adapted to the corresponding application. In our study we focus on the design of three dimensional induction heating coils by an inverse methodology. Induction hubs are operating at frequencies where a time-harmonic representation of the Maxwell equations can be used to determine the axial component of the magnetic field B(r). A target field is specified over a certain region and an approximation of the current density through a Fourier series expansion is derived which generates the desired field. Because of the ill-posed nature of this problem, a Tikhonov regularization with a minimum gradient term is used to calculate the unknown parameters of the Fourier series expansion. Based on this, the coil windings are usually determined using a stream function approach. However, because of the three dimensionality of the problem this is not possible. Instead, we generate a current density map, from which the winding patterns can be derived.