That's really strange. I have a pair of noise cancelling phones, but they are the Bose QC15. No feedback or anything else. They have a tiny mic outside each ear muff that the system uses to cancel the sound waves with. Perhaps the mic on your phones is picking something up from inside the speaker on the left side. Do the phones seal properly around your left ear.
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Home Theater: Epson 8100, Onkyo 876, Outlaw 7125, Oppo 103, Speakers: Paradim Monitor 7, cc370, Totem Lynks x 4
2 Channel system: Oppo 95, Parasound Halo A21, Halo P7, Paradigm Signature S6
Bedroom: NAD C326BEE, Panasonic S97, Tannoy Revolution DC4, Energy Classics