Akademik Veri Yönetim Sistemi
Acta Polytechnica Hungarica, cilt.18, sa.10, ss.87-112, 2021 (SCI-Expanded, Scopus)
Nowadays, technology is advancing rapidly in parallel with developments.
The traditional concept of machine loses its function and is replaced by particular devices
with spherical geometry such as spherical electric motors and brain stimulation systems.
Consequently; the calculation of self-inductance (Lii) and mutual inductance (Mij)
coefficients in the spherical coordinate system with analytical or semi-analytical methods
has become one of the major research topics in recent years. In this study, the terms of B,
E, and A for multi-winding coils were calculated analytically by using the single-winding
coil approach. The same geometries were calculated with the assumption of axial symmetry
in ANSYS Maxwell using finite element analysis (FEA). The obtained results with the FEA
and analytical calculations were compared. Finally, two concentric coil geometries with
magnetic core with radius r1 were determined, the variation of the self-inductance (Lii) and
mutual inductance (Mij) coefficients of the determined geometries based on the γ angle in
spherical coordinates were calculated analytically. Simulation studies were conducted by
creating 3D models of coil geometries in ANSYS Maxwell program. An experimental setup
that can be produced with 3-dimensional (3D) printers has been designed and constructed
compatibly with the determined geometries. The variation of Lii and Mij coefficients with γ
was studied experimentally after the production of necessary coil windings. At the end of
the study, it was observed that the analytical results collected for the mutual inductance Mij
and the self-inductance coefficient Lii were consistent with each other by comparing the
FEA and experimental results.