Melt the butter in a double boiler.
In a bowl, combine the eggs and sugar and mix well.
Add the melted butter to the egg mixture and mix.
Sift the cake flour and baking powder, then add to the mixture and combine.
Let the batter rest in the refrigerator for 30 minutes.
Fill the madeleine molds with the batter.
Bake in a preheated oven at 180°C (356°F) for 10-12 minutes.