Identification of Transformer Core Vibrations and the Effect of Third Harmonic in the Electricity Grid

In this work, an experimental technique is applied
for the measurements of the vibrations and deformation of a test
transformer core. Since the grid voltage contains some higher
harmonics, in addition to a purely sinusoidal magnetisation of the
core the presence of third harmonic is also studied. The vibrations of
the transformer core for points as well as the surface scan of the leg
show more deformation in the corners of the leg than the middle of
the leg. The influence of the higher harmonic of the magnetisation
on the core deformation is also more significant in the corners of the
leg. The core deformation shape under a sinusoidal magnetisation
with a higher harmonic is more wavy and fluctuating than that under
a purely sinusoidal magnetisation.

• Setareh Gorji Ghalamestani
• Lieven Vandevelde
• Jan Melkebeek

• Vibrations and noise
• transformer
• vibration measurements
• laser vibrometer
• higher harmonic.

[1] L. Vandevelde and J. Melkebeek Magnetic forces and magnetostriction
in electrical machines and transformer cores, IEEE Trans. Magn. , 2003,
vol. 39, no. 3, pp. 1617-1621
[2] A. Belahcen, Vibrations of rotating electrical machines due to
magnetomechanical coupling and magnetostriction, IEEE Trans. Magn.,
2006, vol. 42, pp. 971-974
[3] B. Weiser, H. Pf¨utzner and J. Anger, Relevance of Magnetostriction and
Forces for the Generation of Audible Noise of Transformer Cores, IEEE
Trans. Magn., 2000, vol. 36, no. 5, pp. 3759-3777
[4] A. Belahcen, K. Fonteyn, R. Kouhia, P. Rasilo, and A. Arkkio,
Magnetomechanical coupled fe simulations of rotating electrical
machines, COMPEL: International Journal for Computation and
Mathematics in Electrical and Electronics Engineering, 2013, vol. 32,
no. 5, pp. 14841498
[5] S. Gorji Ghalamestani, L. Vandevelde, J. Dirckx, P. Guillaum and
J. Melkebeek, Magnetostrictive Deformation of a Transformer: a
Comparison Between Calculation and Measurement, Accepted for
publication in International Journal of Applied Electromagnetics &
Mechanics
[6] N. S. specialist group N-E EMC & Harmonics, Power quality
in European electricity supply networks-2nd edition, Union of the
Electricity Industry EURELECTRIC, 2003
[7] S. Gorji Ghalamestani, L. Vandevelde, J. Dirckx and J. Melkebeek,
Magnetostriction and the Influence of Higher Harmonics in the Magnetic
Field, IEEE Trans. Magn., 2012, vol. 48, no. 11, pp. 3981-3984
[8] T. Hilgert, L. Vandevelde and J. Melkebeek, J. Appl. Phys., 2005,
vol. 97, 10E101