Is my PS3 burning out HDMI cables?

I got my PS3 in Feb. and I have been using the same HDMI cable since I got it. I just started using PSGroove a few days ago, so I don't know if it's related to my issue, but it seems like it. I power on the PS3 and there is no audio or video and the TV says no signal. I plug in the regular av cable and the audio and video are fine. I thought that the HDMI cable went bad, so I bought a new one yesterday. It played fine for a few hours earlier today, then I shut it off for a few hours. I powered it back on and there was no audio or video again. I plugged the av cable in again and it's ok.

Anyone have any suggestions? Thanks for the help.