How to connect an old ZW to a new Fastrack terminal section

There are two relatively easy ways to connect to FasTrack.

1) The 10" terminal section you have pictured accepts a 5.5mm OD x 2.5mm ID Barrel Connector.  They're available with either screw terminals, solder connections or with pigtails already attached.

2) Most FasTrack (1-3/8", 10" and 30") straights and full curve pieces have spade terminals underneath them that accept 0.110" (aka 110) Faston connectors (wider up to 0.125" also works).  They're available with wire crimp and/or solder connections, with and without insulation.  The crimp version with insulation is available in 3 color coded wire gauge ranges.  Red for 22-16 AWG, Blue for 16-14 AWG and Yellow for 12-10 AWG.

Most auto stores and bigbox hardware stores carry the (female) tabs to connect to the (male) tabs under fastrak. I don't recall the size number but they're not much per package. Are you certain the tab doesn't just pull off? All my fastrak has a (male) tab underneath each piece to attach more feeder wires. But, my fastrak is somewhat old so don't know if they still have the tabs. Good luck.

Cleanest way is to pick up one of these barrel connectors and connect your transformer wires to it (note they are marked for pos and neg.  It should plug right in to the terminal section. They are available in a set of two male/two female for less than $4 on Amazon.

I doubt the black and red wires are soldered on. They should come right off the tabs with a hard pull with a set of pliers. You can then attach wires from your transformer to these female .110 crimps and push them on the tabs being careful to observe polarity. Also, available on Amazon.