Two thoughts I think Gill-T was going in a good direction I think not doubling over any kind of wire line to make the connection has some advantages. Have you thought about putting 3” of heat shrink on the wire before beginning to tie the braid on then when you are done with the knot cut the wire in the already shrunk tubing. Alternatively you could get a crimp and slide it down one of the lines before tying then crimp the very end of the knots after tying to prevent frays. Just a few thoughts.