Contents
A single sided linear induction motor with finite length of the primary is considered. Calculations of magnetic flux density, secondary current, forces and power losses in two layers of a secondary are based on Fourier's series method. Variation of magnetic flux density across an air-gap and finite values of permeability and conductivity of the secondary back iron were taken into account in the computational model. Calculations were compared with test results.
Übersicht
Es wird ein einseitiger linearer Induktionsmotor bei Berücksichtigung endlicher Strombelaglänge betrachtet. magnetische Induktion, Strom-, Kraft-und Verlustdichte in zwei Schichten des Sekundärteiles wurden auf Grund der Methode harmonischer Fourierreihen berechnet. Im rechnerischen Modell wurde die Änderung der magnetischen Induktion im Spalt und der endliche Wert der magnetischen Induktion im Spalt und der endliche Wert der magnetischen Permeabilität sowie der Leitfähigkeit von Eisen im Sekundärteil berücksichtigt. Die Berechnungen wurden mit Ergebnissen experimenteller Untersuchungen verglichen.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Abbreviations
- a :
-
primary width
- B :
-
magnetic flux density
- b :
-
slot opening
- c :
-
secondary width
- d :
-
conducting plate thickness
- E :
-
electric field intensity
- F :
-
force
- f:
-
force density
- H :
-
magnetic field intensity
- J :
-
current density
- J s :
-
primary linear current density
- J r :
-
secondary linear current density
- K t :
-
finite primary width correction factor
- K b :
-
Carter's coefficient
- k, u, i :
-
harmonic and wave number
- L :
-
primary length
- q :
-
number of slots per pole per phase
- s :
-
slip
- v :
-
secondary speed relative to primary
- v ijk :
-
speed of the kui field harmonic
- w s :
-
number of wires per slot
- ΔP e :
-
secondary power losses
- Δp e :
-
secondary power loss density
- δ:
-
modified air-gap length
- δ a :
-
actual air-gap length
- μ:
-
permeability
- σ:
-
modified air-gap length
- μ:
-
permeability
- σ:
-
modified secondary conductivity
- σ a :
-
actual secondary conductivity
- [τ s −L]:
-
distance between adjacent primaries
- τ t :
-
tooth pitch
- τ z :
-
pole pitch
- Q :
-
\( = \underline Q _m e^{i\varphi t} , \underline Q _m = |\underline Q _m |e^{i\varphi } \)
- Q*:
-
conjugate value ofQ
References
Lee, C. H.; Chin, C. Y.: A Theoretical Analysis of Linear Induction Motors. IEEE Trans. Power Appar. Syst., PAS-98 (1979) 679–688
Mendrela, E.; Turowski, J.: Rotary-Linear Induction Motor, Winter Meting, New York. IEEE-PES 1978
Mosebach, H.; Hühns, T.; Pierson, E. S.; Hermann, D.: Finite length Effects in Linear Induction Machines with different iron Contours, IEEE Trans. Power Appar. Syst. PAS-96 (1977) 1087–1093
Nasar, S. A.; Boldea, I.: Linear-motion Electric Machines, New York: J. Wiley 1976
Nasar, S. A.; del Cid, L.: Certain Approaches to the Analysis of Single — Sided Linear Induction Motors. IEE Proc. 120 (1973) 477–483
Stabrowski, M.; Sikora, J.: Some Problems of Numerical Analysis of Electromagnetic Field Distribution in Electric Motor with Compound Motion. Rozpr. Elektrotech. 26 (1980) 307–320 (in Polish)
Yamamura, S.; Ito, N.; Masuda, H.: Three-Dimensional Analysis of Double — Sided Linear Induction Motor with Composite Secondary. Electr. Eng. Jap. 99 (1979) 100–104
Yamamura, S.: Theory of Linear Induction Motors. New York: J. Wiley and Sons 1972
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mendrela, E.A., Gierczak, E. Two-dimensional analysis of linear induction motor using Fourier's series method. Archiv f. Elektrotechnik 65, 97–106 (1982). https://doi.org/10.1007/BF01476700
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01476700