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Research Papers

Efficient Model Development for an Assembled Rotor of an Induction Motor Using a Condensed Modal Functional

[+] Author and Article Information
Guillaume Mogenier

CNRS INSA-Lyon, Université de Lyon, LaMCoS UMR 5259, Villeurbanne F-69621, Franceguillaume.mogenier@insa-lyon.fr

Thouraya N. Baranger

CNRS INSA-Lyon, Université de Lyon, LaMCoS UMR 5259, Villeurbanne F-69621, Francethouraya.baranger@insa-lyon.fr

Régis Dufour

CNRS INSA-Lyon, Université de Lyon, LaMCoS UMR 5259, Villeurbanne F-69621, Franceregis.dufour@insa-lyon.fr

Lionel Durantay

SAS Rotating Machines Division, Converteam, INSA-Lyon, LaMCoS UMR 5259, Champigneulles 54250, Francelionel.durantay@converteam.com

Nicolas Baras

SAS Rotating Machines Division, Converteam, INSA-Lyon, LaMCoS UMR 5259, Champigneulles 54250, Francenicolas.barras@converteam.com

J. Comput. Nonlinear Dynam 6(2), 021011 (Oct 28, 2010) (8 pages) doi:10.1115/1.4002381 History: Received July 15, 2009; Revised April 28, 2010; Published October 28, 2010; Online October 28, 2010

In order to predict the lateral rotordynamics of a high-speed induction motor, an optimization procedure is proposed for identifying the equivalent constitutive properties especially those of the magnetic core: an assembly of lamination stack, tie rods, and short-circuit rods. Modal parameters predicted by a finite element (FE) branched model based mainly on beam and disk elements and measured on an induction motor are included in an original energy functional. The minimization of this functional by using the Levenberg–Marquardt algorithm permits extracting the equivalent constitutive properties of the lamination stack.

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References

Figures

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Figure 1

Diagram of a squirrel cage induction rotor

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Figure 2

Short-circuit rod in bending—kinematic assumption

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Figure 3

Diagram of the tie rods and arrangement of the rotor FE. Blue points represent rotor nodes while magenta points represent tie rod nodes.

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Figure 4

Experimental setup

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Figure 5

Finite element branched model. Lumped masses and tie rods are plotted in green and black, respectively, while red dots represent measurement points nδ=692, nδc=87

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Figure 6

Evolution of the mean global energy functionals versus the number of considered modes m by considering either an isotropic model (light blue) or an orthotropic model (dark red)

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Figure 7

Evolution of the Young (○) and shear (△) moduli versus the number of considered modes; values are plotted in N m−2

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Figure 8

The first twelve predicted (solid line, red (rotor), blue (tie rods)) and measured (dashed line, green) lateral mode shapes: (a) predicted and measured mode shapes N°1 to N°4, (b) predicted and measured mode shapes N°5 to N°8, and (c) predicted and measured mode shapes N°9 to N°12

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Figure 9

Representation of the MAC matrix between the predicted and measured mode shapes

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