Hum from Subwoofers

I've noticed a hum when the volume of my system is turned up (with nothing playing).  The hum is silent when I unplug the subs (a pair of REL Storm III's).  I tried using cheater plugs on the subs, but it makes no difference.  Hum is present with the ground lifted (with cheater plugs), and present with the ground connected (without cheater plugs).  Again, when I unplug the subs, the hum goes away.
The subs are plugged directly into the wall outlets, and the rest of my system is plugged in to an Audio Magic Mini Ref conditioner (no unused outlets left on the condioner).
Any thoughts on how to correct this problem?  
In advance, thanks for your input!
Louis