Abstract: Purpose – The aim of the paper is to present the methodology of obtaining an approximate equivalent circuit composed of lumped parameters which describes an electromagnetic state of induction machines (IMs) with solid secondary. Higher space harmonic field components are taken into account. The proposed method of machine model constructing is useful for solving electrodynamics states of solid secondary IMs, as well linear machines. Design/methodology/approach – A determination of equivalent circuit parameters of a polyharmonic machine is divided into two steps. In the first step, frequency plots of the spectral inductances are derived – for each of the space harmonic components – from an electromagnetic field distribution calculated by means of the finite element method. In the second step, each of the spectral inductances are represented by the operational inductances which corresponds to the equivalent circuit composed of parallel connected the magnetizing inductance and branches consisting of resistance and inductance connected in series. Findings – The proposed method allows the construction of the approximate equivalent circuit with lumped parameters which enables to solve electrodynamic states of solid secondary IMs, as well linear machines. The machine model has been derived with consideration of the higher space harmonic field components. Research limitations/implications – Saturation effects of a magnetic circuit and an unbalance of phase currents have not been taken into account. Originality/value – The paper shows the method of constructing a machine field-circuit model. Lumped parameters of the model have been derived using frequency characteristics of the stator spectral inductance with consideration of the higher space harmonic field components.
B I B L I O G R A F I AOPERA-3D Reference Manual, Vector Fields Limited. Oxford, 2009.
2. Paszek W., Kapłon A.: Induction machine with anisotropic multilayer rotor modelling the electromagnetic and electrodynamic states of a symmetrical machine with deep bar cage in solid iron rotor core. Electromagnetic Field in Electrical Engineering. Plenum Press, New York and London, 1988.
3. Kapłon A.: Estymacja parametrów elektromagnetycznych określających stany elektrodynamiczne maszyn prądu przemiennego analizowanych za pomocą modeli wielowarstwowych. Kielce, Wydawnictwa PŚk, 2003.
4. Paszek W.: Stany nieustalone maszyn elektrycznych prądu przemiennego. Warszawa, WNT, 1986.
5. Kapłon, A. (2003), Estymacja parametrow elektromagnetycznych okreslajacych stany elektrodynamiczne maszyn pradu przemiennego analizowanych za pomoca modeli wielowarstwowych, Wydawnictwa PSk, Kielce
6. Paszek, W. and Kapłon, A. (1988), “Induction machine with anisotropic multilayer rotor modelling the electromagnetic and electrodynamic states of a symmetrical machine with deep bar cage in solid iron rotor core”, Electromagnetic Field in Electrical Engineering, Plenum Press, New York, NY.
7. Paszek, W., Kapłon, A. and Staszak, J. (1989), “Anwendung finiter Elemente in der Feldverteilung der Synchronmaschine zur Ermittlung elektromagnetischer Parameter und Berechnung von Stobkurzschlubtransienten”, Internationales Wissenschaftliches Kollogium in Ilmenau, Gremany, Vol. 34, Vortrags – reihe Elektriche Maschinen, Ilmenau, pp. 133-6.
8. Paszek, W., Staszak, J. and Kaplon, A. (1989), “The multiloop equivalent circuit of the turbogenerator derived from the magnetic field distribution evaluated by the finite element method”, Proceedings of International Symposium on “Electromagnetic Fields in Electrical Engineering”, ISEF’89, Lodz, Poland, pp. 237-40.
9. Paszek, W., Bobon, A., Kapłon, A. and Staszak, J. (1988), “Electromagnetic parameters and transient properties of the turbogenerator determined from the field distribution at harmonic current impression”, in Transporti, A. (Ed.), Proceedings of International Conference on Electrical Machines in Pisa, Italy, ICEM’88, Pisa, pp. 199-204. 
Pełny tekst 
DOI