I don't know the voltage of the lines that you're passing under, but, in our (power company's) 345 KV substation yards, and sometimes in our 138 KV yards, you can experience this. However, working in the yard, in bucket trucks, or, on top of transformers, brings us much closer to the lines than anyone on a bike should be. What happens, is, there is an electrical field around the lines. If you're within range, YOU get charged up. Then, you discharge when you touch something that is grounded. It's kinda like a static discharge that you get in your house when you shuffle your feet across the carpet, and then touch something...except that it's stronger, and doesn't stop. If you could stay there, you would keep on feeling this shock 60 times per second. In our high voltage yards, I can see this by holding a spanner in my hand, and holding the other end of the spanner near a grounded object. A spark will continuously jump from the spanner to the grounded object.
I'm surprised that you are actually getting close enough to the lines for this to happen, though. The height of the lines above the roadway should be sufficient to keep you beyond the range of this phenomenon.