The power flow across a closed surface containing moving media is considered using the Poynting theorem. Various components of this power are identified with known expressions. The effects of hysteresis are considered in a linearized form by assuming hypothetical relations between field vectors. These relations result in elliptical hysteresis loops for sinusoidal time-varying fields. The treatment presented may be useful to students preparing for a master's degree or final year bachelor's degree.
StigantS. Austen, ‘Gabriel Kron on tensor analysis, a bibliographical record’, BEAMA J., August (1948).
2.
GibbsW. J., Tensors in Electrical Machine Theory (Chapman and Hall, London, 1952).
3.
HancockN. N., Matrix Analysis of Electrical Machinery (Pergamon Press, 1974).
4.
BewleyL. V., Two-dimensional Fields in Electrical Engineering (Macmillan, New York, 1948).
5.
HagueB., The Principles of Electromagnetism (Applied to Electrical Machines) (Dover Publications, New York, 1962).
6.
KesavamurthyN.BedfordR. E., Fields and Circuits in Electrical Machines (Thacker Spink & Co., Calcutta, 1963).
7.
HammondP., ‘Electromagnetic energy transfer’, Proc. IEE, 105C (1958), 352.
8.
MukherjiK. C., ‘Certain approaches to electromagnetic field problems pertaining to dynamo electric machines’. Proc. IEE, 108C (1961), 405.
9.
FukushimaF.NasarS. A.SaundersR. M., ‘Electromechanical energy conversion in salient pole structures’, Trans. AIEE, Power Appar. Syst., 83 (1963), 760.
10.
MishkinE., ‘Theory of the squirrel cage induction machine derived directly from Maxwell's field equations’, Q. J. Mech. Appl. Math., VII (1954), 472.
11.
PatelM. R.CullenA. L.BartonT. H., ‘Simplified electromagnetic theory of the induction motor using the concept of wave impedance’, Proc. IEE, 113 (1966), 876–879.
12.
MukerjiS. K.GoelS. K.BhooshanS.BasuK. P., ‘Electromagnetic fields theory of electrical machines, Part-II: Uniqueness theorem for time-varying electromagnetic fields in hysteretic media’, IJEEE, in press.
