Design sensitivity analysis for steady state eddy current problems by continuum approach

Author

Park, Il-Han ; Lee, Hyang-Beom ; Kwak, Il-Gu ; Hahn, Song-Yop

Author_Institution

Dept. of Electr. Eng., Soongsil Univ., Seoul, South Korea

Volume

30

Issue

5

fYear

1994

fDate

9/1/1994 12:00:00 AM

Firstpage

3411

Lastpage

3414

Abstract

In two dimensional steady state eddy current problems, the exact sensitivity formula to the interface shape variation is derived using the material derivative concept of continuum mechanics and an adjoint variable method. The obtained sensitivity formula is expressed in a line integral along the interface and it is calculated using the existing finite element analysis codes. For the rotor slot shape design of the induction motor driven by balanced 3-phase voltage source, the sensitivity for voltage source problems is calculated with the sensitivity for current source problems and the circuit equation. As an optimization algorithm, the Gradient Projection method is used to control easily the torques for various speeds of rotor

Keywords

design engineering; eddy currents; finite element analysis; induction motors; machine theory; numerical analysis; optimisation; rotors; sensitivity analysis; torque; Gradient Projection method; adjoint variable method; balanced 3-phase voltage source; circuit equation; continuum mechanics; current source; design sensitivity analysis; finite element analysis codes; induction motor; interface shape; line integral; optimization algorithm; rotor slot; torques; two dimensional steady state eddy current; Circuits; Eddy currents; Finite element methods; Induction motors; Integral equations; Rotors; Sensitivity analysis; Shape; Steady-state; Voltage;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.312671

Filename

312671