伝達行列法による短一次形リニアインダクションモータの磁界解析
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概要
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The short-primary end effect on the flux patterns in the ultra high speed linear induction motors (LIM) was investigated using a mathematical model. The finite length iron and iron teeth in the primary member have the iron/air boundaries, not only parallel but also perpendicular to the direction of travelling magnetic field. This problem is an extremely complicated boundary-value one. From the viewpoint of including no boundary conditions at any iron ends, the presented model is based on the idea of considering some different regions as a fictitious-layer region which has an inhomogeneous permeability with step variations only at their iron/air boundaries since the primary iron can be assumed nonconducting. One fictitious-layer regin is a combined region of the yoke and the airspace beyond it. Another is a combined region of the teeth, the slots and the airspace beyond the end teeth. The 7-layer boundary-value problem including these fictitious-layer regions is solved neatly in a mathematical sense using the transfer-matrix method. The model enables the problem to be treated almost analytically, so that simulation of the flux patterns in LIMs can be performed at CPU cost much lower than usual numerical-methods of analysis. The flux patterns simulated without effect were obtained for the 6-pole LIMs without secondary and with hollow aluminum and composite sandwiched secondaries, and for the 4-pole LIMs with hollow aluminum and solid iron secondaries. Any instantaneous flux patterns at slip s=0.1 show very well the flux concentration at the exit iron end and the rapid flux decay beyond it which are caused by the short-primary end effect. It is found that the flux patterns in LIM without secondary are quite different from those in the rotating induction motors. The flux pattern with slotting effect was simulated only at starting for the 4-pole LIM with hollow aluminum secondary. Further simulation study is required for slotting effect.
- 日本シミュレーション学会の論文
- 1981-12-15
著者
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