buzzing sound

My refrigerator-freezer started making a buzzing sound. It lasts about 10 seconds, and then stops. It happens very frequently and repeatedly at different intervals. It doesn’t seem to result in the compressor going on or off. Both the refrigerato and freezer are cooling fine (so far!). What part is giving me trouble? Is it worth replacing or do I need a new fridge (I hope not)?
Thank you in advance for your help.

Try to be specific on the area the noise is coming from.

It’s in the motor area, that’s all I know.

You have a starter/overload relay in that area. Sounds like it may be on the way out. See how to check it here- http://www.acmehowto.com/howto/appliance/refrigerator/check/compressorrelay.php