ASUS 1225B freezes on battery but not mains power

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http://ubuntuforums.org – I've got an ASUS EeePC 1225B (with a C60 processor / Radeon HD 6290) as per http://bit.ly/Re8zHG I've been trying to get a fully functional version of Ubuntu on it, and I'm struggling. With any of the Ubuntu variants, across any of 13.04, 13.10 and 14.04 (Beta), in either 32 or 64bit, I am seeing random but easily reproducible freezes when running on battery. They do NOT occur when running on mains power. Interestingly, this problem does NOT seem to be present when I run with the Live CD/Installer (that I use from a USB Key). This raises some interesting questions about what is the diff (Hardware)