استفاده از پتانسيل اسكالر مغناطيسي جهت آناليز تحليلي ميدان مغناطيسي ناشي از حلقه هاي سيمي حامل جريان سينوسي با شكل دلخواه در مجاورت نيم فضاي هادي در رژيم شبه ساكن

USING SCALAR MAGNETIC POTENTIAL FOR ANALYTICAL SOLUTION OF FIELD DISTRIBUTIONS IN MAGNETOSTATIC REGIME DUE TO CURRENT - CARRYING WIRES OF ARBITRARY SHAPE ABOVE A CONDUCTING HALF-SPACE

The computation of magnetic field distribution around conducting structures due to current-carrying conductors is used in a wide range of industrial applications, including eddy-current and magnetic-shielding problems. This paper presents an analytical modeling technique for evaluating the electromagnetic field distribution in magnetostatic regime due to an arbitrary wire loop in the vicinity of a conducting half space. The technique uses the two-dimensional Fourier transform to solve the governing equation formulated in terms of a magnetic scalar potential. The main feature of the model is its ability to analyze two and three-dimensional excitation geometry, with similar degree of computation burden. This feature stems from the fact that in this model, knowledge of the field distribution at the place of the conductor surface in free space suffices to compute the filed in the presence of the conductor. To demonstrate the accuracy of the model, we consider two special cases of rhombic and elliptic wire inducers. The comparison of our results with those obtained using the conventional algorithm in the literature validates the accuracy of the model introduced in this paper. To show the generality of the model, we also present results associated with a wire - loop inducer with a three - dimensional geometry for which no analytical solution is available in the literature.