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Investigation of equivalent circuit quantities and equations for calculation of characteristics of single‐sided linear induction motors (LIM)
Author(s) -
aka Sakutaro
Publication year - 1996
Publication title -
electrical engineering in japan
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.136
H-Index - 28
eISSN - 1520-6416
pISSN - 0424-7760
DOI - 10.1002/eej.4391170210
Subject(s) - linear induction motor , reactance , equivalent circuit , mathematics , mathematical analysis , trigonometric functions , control theory (sociology) , induction motor , geometry , computer science , engineering , electrical engineering , voltage , control (management) , artificial intelligence
We wish to derive an improved analytic method and performance equations for estimation of the characteristics and the design of a reasonable LIM. An approximation that simplifies the estimation of the performance of the single‐sided linear induction motor is presented. The original equations were derived from the two‐dimensional electromagnetic analysis and the equivalent circuit quantities, such as the magnetizing reactance, the secondary resistance and reactance, and are given in combination with hyperbolic and trigonometric functions of complex number. In this paper, these functions are approximated by the MacLaurin's expansion, and the equivalent circuit quantities are expressed by polynomial approximations. The computed thrust, primary current, power factor and efficiency‐slip curves for the test of urban‐transit SLIM at Kyushu University, calculated from the original equation and the new approximation, show a close agreement. The magnetizing reactance plays an important role in the LIM performance and the larger it is, the better. The ratio of air gap length to pole pitch is the key to the performance of the LIM.