After driving from Tucumcari, New Mexico across I-40 to Shamrock, Texas, I plugged in my car into the Supercharger and after about 15 seconds the entire Supercharger went offline. All the stalls went dark, and then after a second they came back on. This repeated every seven or so seconds, and the car went from a Supercharging state to Not Charging. I unplugged the car, and the Supercharger kept repeating this cycle. I called Tesla and they stated the Supercharger was offline on their end. After about 15 minutes it came back online. They asked me to plug the car in again. The same cycle repeated--car started charging for a short while, then the Supercharger went offline again. Tesla called me back and claims it's a power issue and not the Supercharger. Conveniently, there are no other public chargers in Shamrock. I have 50 miles of charge remaining, which isn't enough to get to another Supercharger. There are some NEMA 14-50 charger within that range, but if they aren't working for some reason or not accessible, that would strand me in a more remote location. Tesla has suggested I drive to the nearest town I can reach (Sayre) and they can have a tow provider meet me and then tow me to the next Supercharger (Weatherford, Oklahoma). It would not be a Tesla certified tow provider, so they'd need to talk the tow operator through towing the Model S. Not really crazy about this solution. I waited another 15 minutes and moved my car from 1A to 2A, assuming this would use a different Supercharger. Unfortunately, the same thing happened. Here is a video: Not sure what I'm going to do at this point.