Modeling of Induction Motors with One and Two Degrees of Mechanical Freedom

upper armature spherical rotor lower armature Figure In induction motors with two degrees of mechanical freedom this flux is represented by the magnetic .
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Model of IM-2DMF with finite dimensions of primary and secondary parts There are papers [50, 51] applying the Fourier's series method, which takes into account the finite dimensions of the primary core.

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Where the distance between adjacent sheets is t s - L. Each vlfh harmonic of both current densities is represented by the two waves. For the linear armature these are two waves traveling along z axis with two different speeds.

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In the case of the rotary armature these are two rotating-traveling waves moving in the same circumferential direction, but in two opposite linear directions. Construction scheme of rotary-linear induction motor with rotating-traveling field The stator consists of several armatures, built similarly to the one of a conventional rotary induction motor. Each armature produces a rotating magnetic field. If all of them rotate with the same phase Fig.

When there is a shift between the adjacent rotating fields by the same angle Fig. Generation of a rotating and b rotating-traveling fields 53 Simulation ofInduction Motors with Two Degrees Read e-book online Modeling of Induction Motors with One and Two Degrees of PDF Modeling of Induction automobiles with One and levels of Mechanical Freedom offers the mathematical version of induction automobiles with levels of mechanical freedom IM-2DMF , shaped within the electromagnetic box in addition to in circuit conception, which permits examining the functionality of those 3 teams of automobiles considering area results, winding and present asymmetry.

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January 26th, Category: Generator and electrical plant. Potentiality, Entanglement and Passion-at-a-Distance: Modeling such an effect in rotary armature is a significant challenge as it requires a solution considering motion with two degrees of mechanical freedom. In other words, the rotor in the model would have to move between two space coordinates rotary direction as a regular operation of rotary armature and axial direction. Neither of the available FEM software package is currently capable to solve such a problem.

The approach used to address linear motion on rotary armature is based on the combination of transient time-stepping finite element model and frequency domain slip frequency technique. An equivalent circuit model is also developed to address helical motion in rotary armature that is based on the model suggested by Duncan to consider dynamic end effects in linear motors.


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The results obtained from FEM modeling and equivalent circuit model are partially verified by test carried out on experimental model of the motor to validate the theoretical modeling of the motor. FEM performance analysis of the linear armature is rather straightforward as it only involves motion in one direction similar to a conventional linear induction motor. However, due to the finite core length and open magnetic circuit in the direction of motion, the back electromotive forces induced in the three-phase winding are asymmetric and the air gap flux density distribution can still be distorted, even at zero axial speed.

This distortion is known as static end effect. Such an effect does not exist in rotary armature.


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New viewpoint on the end effects in linear armature, which classifies them into two groups, namely as speed-independent static and speed-dependent dynamic ones, is presented. Static end effect is modelled by quasi-static finite element analysis coupled with equivalent circuit via the lumped parameters. The analysis of the motor with the combination of static and dynamic end effects is done with time-stepping finite element analysis.

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The approach makes the contribution of each type of the end effect on the performance of the linear motor more visible, than it is possible within approaches presented to this date. Based on this classification, a novel equivalent circuit steady-state model for linear induction motors is also presented. The novelty resides in classification and inclusion of end effects in the equivalent circuit.

Duncan model is used to address dynamic end effect and appropriately modified to account for the saturation of back iron and skin effect. The static end effect, which manifests itself by the alternating field component, is represented by additional circuit branch similar to the ones of motor with alternating magnetic field.