Preheat oven to 350°F (180°C). Grease and flour a cake pan.
Cream together the butter, granulated sugar, and vanilla sugar until light and fluffy.
Add the eggs one at a time, mixing well after each addition.
Sift together the flour and baking powder, then gradually add to the butter mixture.
Stir in the orange zest and freshly squeezed orange juice until just combined.
Pour the batter into the prepared cake pan and spread evenly.
Bake for 30-35 minutes, or until a wooden skewer inserted into the center comes out clean.
Let the cake cool completely before dusting with powdered sugar and serving.
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