How much do you know about track lighting?

I inherited these low-voltage halogen track lights in my office. Recently, one strip of the fried through the wires connecting the transformer to the string of lights.

I want to fix them, but I’d like to get new transformers. When they’re not causing a fire hazard, they buzz like crazy—and I’m pretty sure it’s not because of the dimmers I have them hooked up to (I have high quality Lutrons attached).

Can I just upgrade the transformer? Do I need to re-do the entire track system?