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If you could post a link to one you'd recommend, I may just buy one myself.
What kind of current rating is needed?
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I don't have any specific recommendations. It's really sort of a science as to how you build these. Your wire size dictates the current rating of the setup. You want to use Ni-Chrome wire. There are some other, super-duper-special wire alloys that work better (higher heat with less deflection which will yield a better cut quality) but they also command a super-duper-special price.
The only real purpose I can see one of those wires being useful is for profiles or cuts that don't completely penetrate the foam where-in you can't stretch the wire tight. I know there is a special wire made for this that you can bend to shape and just plunge & drag; IIRC it's about $15/foot.
In general, your wire size depends on what you're doing. Slowly cutting thin foams when you won't be pushing hard or need the wire tension to maintain straighness and you can get by with some of the smallest wires. However, if you're cutting fast, or cutting thicker foams where the wire needs to withstand some abuse I recommend stepping your wire size up a bit. I forget what size I'm running, I'll have to check.
After you figure out roughly what size wire you need you can appropriately size your transformer. Most websites that offer this wire have charts for sizing transformers. I'll see if I can find the website I used.
Unfortunately, I don't have anymore info than that. I did not build my wire cutter like I'm suggesting. Why not? I have a lab-grade variable voltage AC/DC power supply that works really well for this; 24 V, 5 amps. I bought it in college for a project and it's proven valuable for MANY different things. As far as suggestings, I know that the 5 amps circuit breaker on my power supply trips at about 4 amps (according to the meter) and that is barely enough to run my cutter. Sometimes I have to go slower than I want because it can't keep up and I'll break the wire if I push it too hard.
If you ever want to borrow my cutter you can; I drive pretty close to where you live on a daily basis...