The PSU advice provided by the sage veterans above is recommended. 😀
Also, some suggestions:
1) Uninstall software on your HDD such as George Breese's latency patch, and anything similar. Maybe there's something specific to do with the Athlon CPU in your registry that the Applebred core is clashing with? Edit: Reinstall G.B.'s latency patch afterwards, if this temporary uninstall fixed the problem.
2) If that fails, try a fresh Win98 installation. How about using a cheap and simple compact flash HDD, for example - just to have a "back up / testing" HDD to hand. Edit: Compact flash devices use much less power than a conventional HDD.
3) If that fails, cut out as many power hungry components as possible. For example, use a simple PCI graphics card (eg < 16MB) just to get you to the desktop.
4) If that fails, try a "new" PSU with a minimum of 30A on the 5v rail. (Not first choice, simply because you might not have another PSU to hand right now.)
5) If that fails, try 2 PSUs: one for the mobo, the other for everything else. I do this all the time. Right now in fact, with my KT133A based mobo.
6) Also, carefully examine the CPU for any sign of damage.