Abstract
Inductive coupling based wireless power transfer (WPT) is a popular short-range power delivery mechanism for many industrial, biomedical, and home electronic appliances applications. A numerical methodology is needed for the analysis of the electromagnetic propagation, radiation, scattering and coupling of highly efficient WPT systems. This study is based on the discontinuous Galerkin time-domain (DGTD) finite element method. A brief survey of the DGTD method is given, which is a finite element method using discontinuous piecewise polynomials as basis functions and numerical fluxes based on up-winding for stability. DGTD method is characterized by the fact that no continuity is enforced between the elements, then it is easy to parallelize and results in fast solvers. Even though the finite element method is used by a few researchers to study WPT problems, we found no study using the DGTD method to study WPT problems, which is surprising given that this discretization technique seems particularly well suited for these problems. A design of two coils at the frequency of 3 MHz is introduced, and the effects of the distance and misalignment between two coils on the mutual coupling are studied. The numerical results are validated by experimental and analytical results.
Highlights
Wireless power transmission (WPT) has experienced tremendous progress in the past two decades
The results demonstrate that the mutual inductance between two coils intensifies as the frequency increases
Domain decomposition is a family of linear algebra-based techniques. It reformulates a discrete problem into subproblems to distribute them on various processors of a parallel computer, and to recover the computed distributed solutions in a single global numerical approximation. This is the first study where the discontinuous Galerkin time-domain (DGTD) FEM is used for modeling WPT systems based on three-dimensional full-wave Maxwell’s equations
Summary
Wireless power transmission (WPT) has experienced tremendous progress in the past two decades. Integral methods are based on an integral form of Maxwell’s equations and only the boundaries need to be discretized This approach reduces the number of degrees of freedom and it is known to give good accuracy for some problems. Mutual inductance is an electric parameter that can be computed by several forms expressed over elliptical integrals of the first, the second, and the third kind; Heuman’s Lambda function; Bessel functions; and Legendre functions [38], [39] It has a strong nonlinear dependence on the shapes, orientations and the distance between two coils which needs to be clarified using a precise model. After calculating differential length of conductor elements in arbitrary points of P and Q, and the distance between them (shown in Fig 2 a) and by applying some simplifications, the mutual inductance between two circular coaxial filament coils is (see Appendix B for more details). In order to verify the numerical analysis, we use both analytical and experimental analyses which the results are discussed
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: IEEE Open Journal of the Industrial Electronics Society
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
