Journal ArticleDOI
On the magnetic field of an infinitely long helical line current
R. Hagel,L. Gong,R. Unbehauen +2 more
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In this article, the magnetic field of an infinitely long helical solenoid is calculated using a series expansion of the reciprocal distance between the observation point and a variable point of the line current, which is a substitute for the spatial current distribution.Abstract:
This paper presents the calculation of the low-frequency magnetic field of an infinitely long helical solenoid. Helical solenoids can be applied, e.g., to investigate superconducting coils, twisted wires and the levitation of molten metals. With the aid of a series expansion of the reciprocal distance between the observation point and a variable point of the line current, which is a substitute for the spatial current distribution, the magnetic vector potential is calculated. This approach makes is possible to express also the magnetic field in the form of a series. Explicit formulas for the magnetic field inside and outside the solenoid are developed which include modified Bessel functions and their derivatives. Some properties of the magnetic field are shown. >read more
Citations
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Journal ArticleDOI
Core laying pitch-long 3D finite element model of an AC three-core armoured submarine cable with a length of 3 metres
TL;DR: In this article, a 3D finite element method (FEM) model of a three-core submarine armoured cable is presented, where the different laying pitches of cores and steel wires are correctly taken into account.
Journal ArticleDOI
A New Multiconductor Cell Three-Dimension Matrix-Based Analysis Applied to a Three-Core Armoured Cable
TL;DR: In this paper, a generalization of multiconductor cell analysis to any transmission line where the positions of all the active and passive conductors may change with continuity along their length is presented.
Journal ArticleDOI
Reduction of power system magnetic field by configuration twist
P. Pettersson,N. Schonborg +1 more
TL;DR: In this paper, the low-frequency magnetic field in the vicinity of helical three-conductor arrangements carrying symmetric three-phase alternating current is studied by analytical numerical and experimental methods.
Three-dimensional Finite Element Computation of Eddy Currents in Synchronous Machines
TL;DR: In this article, various magnetic and electric vector potential formulations of three-dimensional eddy-current problems are investigated, which are discretized by the finite element method with nodal or edge finite elements.
Patent
Electric cable with low external magnetic field and method for designing same
Yosef Grach,Michael S. Erlitzki +1 more
TL;DR: In this article, a method of designing a single- or a multi-phase electric cable for conducting current through insulated conductors and creating a weak external magnetic field, so as to obtain a cable wherein at least one of the above-mentioned conductors is assembled from two or more insulated sub-conductors connected in parallel, and wherein the sum of cross-sectional areas of the subconductors is equal to a design crosssectional area of the conductor.
References
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Book
Table of Integrals, Series, and Products
TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform
Journal ArticleDOI
Magnetic Fields near Twisted Wires
TL;DR: In this article, the field near twisted leads carrying equal and opposite direct currents was investigated, and the results were plotted in dimensionless form for various cases, showing that at some points twisting the wires is shown to strengthen rather than weaken the field.