Noise in a power transformer is due primarily due to magnetostriction, the expansion & contraction of core steel under an alternating magnetic flux, which causes vibration in the transformer assembly. This vibration is transmitted to the air via the transformer tank walls, causing that familiar humming noise. Vibration is also transmitted to the ground via the foundation & may aggravate sound levels. This noise may be further increased by resonant vibration of mechanical parts.
Although a transformer may have passed audible sound level tests in the shop, this is no guarantee that it will perform likewise in the field. Noise levels may increase after installation in the field due to: improper installation, room acoustics (if indoors), loosening of parts during shipment, etc.
Although you will never eliminate the noise (due to magnetostriction), sound levels may be reduced by one or more of the following methods:
1. use of sound absorbing materials on the walls to minimize the formation of standing waves
2. use of sound absorbing materials to form a barrier between transformer housings
3. shock mounting of components susceptible to vibration
4. shock mounting of entire transformer to foundation
5. installation of audio-dampening system
6. inspection of entire transformer assembly to tighten, replace, or eliminate loose connections/parts
hope this helps...also do a search through some old "AIEE Transactions on Power Apparatus and Systems" for articles on tranformer noise & noise mitigation.