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Equation of the magnetic field distribution of dynamo sheets taking into account crystallographic structure

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Języki publikacji
EN
Abstrakty
EN
The main purpose of the paper is to present a method which allows taking into account the anisotropic properties of dynamo steel sheets. An additional aim is to briefly present anisotropic properties of these sheets which are caused by occurrences of some textures. In order to take into account textures occurring in dynamo sheets, a certain sheet sample is divided into elementary segments. Two matrix equations, describing changes of the magnetic field, are transformed to one non-linear algebraic equation in which the field strength components are unknown. In this transformation the flux densities assigned to individual elementary segments are replaced by functions of flux densities of easy magnetization axes of all textures occurring in the given dynamo sheet. The procedure presented in the paper allows determining one non-linear matrix equation of the magnetic field distribution; in this equation all textures occurring in a dynamo sheet are included. Information about textures occurring in typical dynamo sheets may be used in various approaches regarding the inclusion of anisotropic properties of these sheets, but above all, the presented method can be helpful in calculations of the magnetic field distribution in anisotropic dynamo sheets.
Rocznik
Strony
185--194
Opis fizyczny
Bibliogr. 16 poz., rys., tab., wz.
Twórcy
  • Institute of Electromechanical Energy Conversion, Cracow University of Technology Warszawska 24, 31-155 Kraków, Poland
  • Institute of Electromechanical Energy Conversion, Cracow University of Technology Warszawska 24, 31-155 Kraków, Poland
  • Institute of Electromechanical Energy Conversion, Cracow University of Technology Warszawska 24, 31-155 Kraków, Poland
  • Laboratory of magnetic measurements, Stalprodukt SA Wygoda 69, 32-700 Bochnia, Poland
Bibliografia
  • [1] Soiński M., Moses A.J., Handbook of magnetic material, Elsevier Science B.V. (1994).
  • [2] Tumański S., Handbook of magnetic measurements, CRC/Taylor & Francis (2011).
  • [3] Mazgaj W., Warzecha A., Influence of electrical steel sheet textures on their magnetization curves, Archives of Electrical Engineering, vol. 62 (245), no. 3, pp. 425–437 (2013).
  • [4] Banach A., Mazgaj W., Szular Z., Szczurek P., Zelechowski J., Textures of dynamo steel sheets, 2017 International Symposium on Electrical Machines (SME), Naleczow, Poland (2017).
  • [5] Dedulle J.M., Meunier G., Foggia A., Sabonnadiere J.C., Magnetic fields in nonlinear anisotropic grain-oriented iron-sheet, IEEE Transactions on Magnetics, vol. 26, no. 2, pp. 524–527 (1990).
  • [6] Mekhiche M., Péra T., Maréchal Y., Model of the anisotropy behaviour of doubly oriented and non-oriented materials using coenergy: application to a large generator, IEEE Transactions on Magnetics, vol. 31, no. 3, pp. 1817–1820 (1995).
  • [7] Dupre L.P., van Keer R., Melkeebeek J.A., Numerical evaluation of the influence of anisotropy on the eddy currents in laminated ferromagnetic alloys, IEEE Transactions on Magnetics, vol. 38 no. 2, pp. 813–816 (2002).
  • [8] Lin D., Zhou P., Badics Z., Fu W.N., Chen Q.M., Cendes Z.J., A new nonlinear anisotropic model for soft magnetic materials, IEEE Transactions on Magnetics, vol. 42, no. 4, pp. 963–966 (2006).
  • [9] Enokizono M., Mori S., A treatment of the magnetic reluctivity tensor for rotating magnetic field, IEEE Transactions on Magnetics, vol. 33, no. 2, pp. 1608-1611 (1997).
  • [10] Sande H.V., Boonen T., Podoleanu I., Henrotte F., Hameyer K., Simulation of a three-phase transformer using an improved anisotropy model, IEEE Transactions on Magnetics, vol. 40, no. 2, pp. 850–855 (2004).
  • [11] Mazgaj W., Modelling of rotational magnetization in anisotropic sheets, COMPEL, vol. 30, no. 3, pp. 957–967 (2011).
  • [12] Shi Y.M., Jiles D.C., Ramesh A., Generalization of hysteresis modelling to anisotropic and textured materials, Journal of Magnetism and Magnetic Materials, vol. 187, iss. 1, pp. 75–78 (1998).
  • [13] Bunge H.J., Texture analysis in materials science: Mathematical methods, Butterworth (1982).
  • [14] Wohlfarth E.P., Ferromagnetic materials. A handbook on the properties of magnetically ordered substances, North-Holland Publishing Company (1980).
  • [15] Warzecha A., Mazgaj W., Magnetization measurements in circle-shaped samples of typical dynamo steel sheets, Przegl˛ad Elektrotechniczny, no. 6, pp. 96–99 (2015).
  • [16] Della Torre E., Magnetic hysteresis, IEEE Press (1999).
Uwagi
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-22c18bdd-a5d1-4bce-a4e0-37e107660e07
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