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Just install as you will install a steel cable. Only trick there is to make sure there is not sharp edges that could fray the cord, use the nosed ferrules or some liner for protection. Your barrel adjuster should be all the way in and then turn it back a turn or two. As you feed the cord along, pull on it regularly so the ferrules and everything sits in properly. Use C clamp to hold the pads to the rims (as if you were braking).
At the tie off, remove the bolt, keep the clamp in the bolt, insert the grommet in the threads all the way in, reinstall the bolt without clamping down. Thread the cord around the grommet (at least a 360 for the brakes, if you can make a knot, it is better, a 180 for the derailleur is enough usually), and clamp down hard. The grommet is a non-reusable item, it will protect the cord to some extent as you clamp down. If you need to readjust, just use another grommet.
Why do you need to clamp down hard? You have to grab on 10,000 fibers.
Remove your C clamp. Chances are your brakes are a bit tight, adjust with your barrel adjuster. Tada!! You got a problem at install and mess up a cable? Let Powercordz guys know about it, they will send you a replacement cord.
No problem with the cord fraying after the knot. It looks like you grabbed on the cord nicely so it wont slip.