Inductance and force calculations of circular coils with parallel axes shielded by a cuboid of high permeability. Issue 5 (4th April 2018)

• Record Type: Journal Article
• Authors: Luo, Yao; Zhu, Yuanzhe; Yu, Yue; Zhang, Lei
• Is Part Of: IET electric power applications. Volume 12:Issue 5(2018)
• Page Start: 717
• Page End: 727
• Publication Date: 2018-04-04
• Subjects: finite element analysis -- magnetic permeability -- coils -- boundary‐value problems; force calculation -- circular coils -- parallel axes -- high‐permeability cuboid -- boundary value problem -- magnetic scalar potential -- boundary conditions -- mutual inductance -- self inductance -- shielded circular coils -- rectangular cross section -- mutual magnetic energy -- self‐magnetic energy -- mutual force component -- self‐force components -- finite‐element method simulation; Electric power -- Periodicals; Electric power systems -- Periodicals; 621.305
• DOI: 10.1049/iet-epa.2017.0646
• Languages: English
• ISSNs: 1751-8660

Abstract

Abstract : A detailed analysis is presented for a boundary value problem of circular coils with parallel axes shielded by a cuboid of high permeability. Field solutions are given by establishing a suitable ansatz of the magnetic scalar potential, which can satisfy the boundary conditions on six surfaces of the cuboid without difficulty. Analytic expressions are also given for the self and mutual inductance of shielded circular coils with rectangular cross section. By differentiating the self‐ and mutual magnetic energy with respect to the centre coordinates of the shielded coils, the total forces exerted on them are further obtained, which consist of self and mutual force components. Finally, the numerical results of the proposed method are compared with those of the finite‐element method simulations, and the proposed method proves to be accurate and efficient enough for practical applications.