Title :
Combined Analytical–Numerical Noise Calculation of Electrical Machines Considering Nonsinusoidal Mode Shapes
Author :
Braunisch, D. ; Ponick, Bernd ; Bramerdorfer, Gerd
Author_Institution :
Inst. of Drive Syst. & Power Electron, Leibniz Univ. of Hanover, Hanover, Germany
Abstract :
This paper describes a calculation method for the electromagnetically excited noise of different types of rotating electrical machines. A numerically gained modal matrix of the stator is used for the analytical calculation of the surface´s deflection and thus combines short calculation times of analytical methods with the accuracy of numerical calculations. Considering elliptic deformations due to nonsymmetrical pairs of eigenvectors, as especially occurring for small machines with few teeth, a time-stepping algorithm allows the examination of noncircular spatial harmonics of the deformation. An adapted analytical sound pressure calculation is appended. Finally, a comparison with a measurement of the surface oscillation validates the improved calculation method.
Keywords :
eigenvalues and eigenfunctions; electric machines; matrix algebra; numerical analysis; stators; adapted analytical sound pressure calculation; combined analytical-numerical noise calculation; eigenvector nonsymmetrical pairs; electromagnetically excited noise calculation method; elliptic deformations; noncircular spatial harmonics; nonsinusoidal mode shapes; numerically gained modal matrix; rotating electrical machines; stator; surface deflection; surface oscillation measurement; time-stepping algorithm; Finite element methods; Force; Harmonic analysis; Mathematical model; Noise; Stator windings; Eigenvectors; electrical machines; magnetic noise; modal analysis; noise prediction;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2012.2228214