In a bowl, mix the sugar and vanilla sugar, then whisk the eggs.
Mix the baking powder with the flour and gradually fold it into the eggs. Continue whisking. Then add the melted butter and mix.
Bake in a preheated oven at 180°C and bake for 30-45 minutes (baking time may vary; check for doneness with a toothpick before taking the cake out). Sprinkle the cake with icing sugar.