Circuit analysis of magnetic couplings between circular turn and spiral coil

• Autorzy: Wciślik M. , Kwaśniewski T.
• Języki publikacji: EN

Abstrakty

EN

The paper deals with magnetic coupling between circular turns, modelling of spiral coil arranged concentrically on a plane and the single forcing turn. The turns are organized in axially symmetric arrangement. Circular turns are made of nonferromagnetic conductor. The equations of the magnetic field distribution around a single turn with current were derived from the Biot-Savart law, taking into account the turn wire radius Using the Biot-Savart law, equations describing the distribution of the magnetic field around a single turn with current, taking into account the radius of the turn wire, were derived. An original relation was obtained. It which allows to calculate self inductance of a single turn and mutual inductances relative to the other turns. The inductance matrix of the individual coil turns was derived from obtained formulas.From the formula inductance matrix of turns set of the spiral coil model was built. The spiral coil inductance was derived from inductance matrix of the adopted coil modelSpiral coil inductance has been described on the basis of the established coil model inductance matrix. The self inductance of the forcing coil, as well as the mutual inductance between forcing coil and the individual turns of the spiral coil were derived from the Biot-Savart lawSimilarly self inductance of the forcing coil and mutual inductance vector between the forcing turn and the each turn of spiral coil model were described.

Słowa kluczowe

EN

spiral coil; magnetic coupling; circumferential equation

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Computer Applications in Electrical Engineering
• Rocznik: 2014
• Tom: Vol. 12
• Strony: 82--91
• Opis fizyczny: Bibliogr. 5 poz., rys., tab.

Twórcy

autor

Wciślik M.

• Kielce University of Technology 25-314 Kielce, Al. Tysiąclecia Państwa Polskiego 7

autor

Kwaśniewski T.

• Kielce University of Technology 25 - 314 Kielce, Al. Tysiąclecia Państwa Polskiego 7

Bibliografia

• [1] H. Rawa.: Electricity and magnetism in technology. (in polish), PWN, Warszawa 1994.
• [2] M. Wcislik, T. Kwasniewski.: Model of cylindrical single-layer coil, Electrotechnical Review, 11-2006.
• [3] M. Wcislik, T. Kwasniewski.: Current distribution induced in conducting plate., Electrotechnical Review, 03-2007.
• [4] D. J. Griffiths.: Introduction to electrodynamics., Prentice Hall, New Jersey, 1999
• [5] Marc T. Thompson.: Inductance Calculation Techniques - Part II: Approximations and Handbook Methods Power Control and Intelligent Motion., December 1999, website http://www.pcim.com