Cream butter and sugar in a stand mixer.
Add sifted flour and baking powder and beat on medium speed.
Add eggs, grated orange rind and orange juice and beat on medium speed. The mixture should emulsify to a uniform texture (rather than looking curdled or weeping liquid).
Spoon tablespoons of mixture into well-greased patty cake tins (makes about 12 cakes).
Cook in a moderate oven for 20 minutes.
When cool, dust with icing sugar.