Put the water and butter over medium heat and boil until the butter melts.
Add salt and flour, mix with a spoon until dough forms.
Add vanilla extract to the dough, then break in 3 eggs, one at a time, while working the dough with a hand mixer.
Transfer the batter to the pastry bag and poach 12 circles on parchment paper.
Bake each doughnut in preheated oil for 3-4 minutes or until golden on both sides.
