Small Engine Troubleshooting Problems? Ask a Mechanic Now.
Welcome to JUST ANSWER small engines, let me try to help you !! I don't know it all, but maybe together we can get you a satisfactory answer!
What are the wires coming from? Wires over heating is caused by too much amperage . Either from the charging system or from the pto clutch.
In the link below, the Kohler engine shows the brown wire to go to the ignition coil and the spark advance module. Looks like problem with the wire itself, or bad coil.
You may have a bad ground, and it is using the brown wire as an alternate to the ground source. Check the negative battery cable to the frame connection.
I will opt out and see if you will get a better answer. Sorry I can't help. Please do not respond to me or it will lock the question.
What is the model of the engine and spec. Kohler had a replacement ignition module due to this issue. It was never considered a recall as it should have been, but your engine may fall in this category.
I was away from shop today, but can double check tomorrow when I get in the shop
They were unable to confirm the ignition coil replacement. I will OPT out and see if another expert may be able to give you more details on this issue and solve your problem