I searched some more and here are what I
think are answers to my original question of how the sensor units get their power. If anyone has these units and knows otherwise, I'd be happy to learn from your real world experience.
With a TED 5000 power is tapped from inside the breaker box. To install TED you must have a spare slot in your breaker box to dedicate a circuit breaker to the TED. If you do not then you will need an electrician to expand your breaker box.
http://www.theenergydetective.com/install5000
With an Eyedro EHWEM1 power is provided from a power supply you plug into a 120VAC outlet. To install Eyedro you must have an electrical outlet in a weatherproof location in close proximity to your breaker box. If you do not then you might run an outdoor extension cord to a waterproof box installed next to your breaker box, in which to plug the power supply transformer.
http://eyedro.com/media/docs/quick-start-ehwem1.pdf
With an Efergy power is provided to the transmitter and receiver by 1.5V alkaline batteries. The monitors may either use batteries or optionally, a 6VDC power supply.
http://efergy.com/us/instructionvideos/ ,
http://efergy.com/us/faq/