Hoof Hearted:
I have had my Pioneer 43" Plasma telly for more than five years now. I can honestly say that I have never heard any buzzing from it, constant or otherwise, so I not going to be claiming that all Plasmas make a buzzing sound. Nope, it's silent as the grave in that respect.
Come to think of it, the plasmas I looked at in Currys today weren't buzzing either.
I wonder if it might be a "characteristic" of a certain manufacturer or, of course, it could be a fault? Try having the power supply module checked out. It might be mains hum you are hearing. Any electrical device can suffer from that.
Hoof, the title tells you the manufacturer, and all plasmas do buzz, most you can't hear even if the volumes down and with your ear stuck on the cabinet, but it will be buzzing somewhere, it's down to the drives on the unit, but sometimes the isolation is not fitted properly and this transmits through the rear cabinet making the sound louder.
He's just unlucky to get one that you can hear.
EDIT: love the name by the way, we used to have it as our quiz pub team name.