I got frustrated very quickly at KIchlers website. This offers a better explanation. Not great, just better.
How to Install Kichler Under Cabinet Lighting
I'll describe what I thought I saw. The lights can be stacked end to end to make an appropriately sized "light bar". No extra wiring.
The lights can be joined by pre-wired wire jumpers of various lengths.
* I THINK a custom length can be created with a wire module. Use two small jumpers plus the module.
I WOULD HOPE that a wire module can be installed anywhere in the set to provide power.
* The wire module does provide a mechanism of getting power to the fixtures and so does a fixture with a cord.
There are lots of unanswered questions, like there are for many products today. You have to have one in your hand to know how to use it.
The wire module does operate on 120 V and the high cost of the lights justifies that each light has an integral transformer.
Another question is 1) Where is the switch? Do you have to provide a switched outlet?
I doubt they provided something funky like a switch on every fixture which can be programmed to operate each lamp independently or together. So, again, I think you have to provide a switched outlet.
I'd give the people in the link I specified and give them a call. I hope you can beat the sale.
Also ask them, "Hpw would you create a custom jumper length"?
Wiring module + 2 interconnecting jumpers + Wire (What kind?)
The 120 V requirements are small and the 120 V interconnect wiring is premade.
There are questions as to how to get this wiring to the cabinets. I think it's basically designed to plug in at an end. But, where is the power switch? I doubt your allowed to run this wiring in the wall.
As "Short Circuit" would say "Input, Input. I need Input".
Make a phone call with the stuff from the website and only hope that you get a knowledgeable human.