One of our pastues had old fence and the goats would step on it and it would go down. To keep them in and electric fence about 6 inches from the old fence does the trick...One wire 6 inches off the ground the wire above it about 12 inche higher and another top one 6 inches above that...the lowest one gets their nose as they graze to close to the old fence. if they are not grazing but trying to get to the old fence the second wire gets them and just for an extra shock the top one....they quite grazing about 1 foot from the wire after one shock....but the funniest thing I saw was one of our roosters wander into the fence, he yelled and jumped up and hit the other wire, fell down and got the bottom wire again squaking like crazy, finally fell out of the wires and found the gate to the barn....But you have to know how to properly wire and be sure to ground it it uses alternat current so you won’t roast them, but get at least 2 goats, being a flock animal one goat will always be afraid....of corse depending the breed/size of the goat you might put your wires differently....we had Angoras and they are not a big goat....females 60-75 pounds and the males about double that but they aren’t a tall goat...
Many moons ago (aka ‘decades’), when I was a young pony-crazed little girl, my dad bought me a pony ... she had a 13 month old filly with her, still nursing. We only had one fenced pasture, so he ran an electric fence down the middle so we could separate the two. I got ‘bitten’ by that darn fence a couple of times .... hurts like the dickens! It did the trick though, in keeping the ponies apart until we could get the mare dried up. Later, we electric-fenced another part of the ‘yard’ so the horses could graze (had 5 by then). Dad was driving down the road after a snow/ice storm and just happened to notice a herd of horses, galloping across the neighbor’s pond dam, about a mile from our place. Yup, it was OUR herd .... the fence had shorted out (ice on the wires) & those rascals always knew if the fence is ‘live’ or not.
Not quite sure I’m ready for goats yet, but I’m thinking about it. :-)