There is absolutely something wrong. I can fill my BK to the top with 20 gallons of water and have it to a rolling boil in about 20 minutes, without the lid on. at full power the boil coil with fog out my garage (as seen in my video) and boil off 2+ gallons per hour.
Check to make sure you have it turned up to "ON" power, and also that the toggle switch is turned up to "ON". Beyond that its got to be an issue with your electrical source or a defective boil coil.
The results you described are what I would expect from a 120V version
I did a test on the Auto mode.
It tooke me 12 min and 30 sec to go from 45Celsius(113F), to 65C(149F)
and i just had 9 gallons of water in the Kettle.
I used the Multimeter in the outlet and I got 220v in my outlet(220v is the standard here in Brazil, I think you guys in US got 240v).
If I have a faulty Tower of Power or Boilcoil it will be a pain in the ass to send back to US for repair.
EDIT: When I followed the Manual to change from Fahrenheit to Celsius, I saw a lot of different settings in the TP menu. Maybe there's something there that could fix this and save me the trouble of sendint it back? The manual does not explain any of these settings except the one to change from Fahrenheit to Celsius.