Preheat oven to 350 degrees F. Grease a 9-inch round springform pan.
Whisk together the flour, baking powder and salt. Add cardamom if using.
In a mixing bowl, beat the egg yolks and half of the sugar until well blended, then gradually add the olive oil, then the lemon zest, lemon juice and vanilla. Fold in the flour mixture followed by the apples, nuts and raisins.
In a separate bowl, beat the egg whites until soft peaks form, slowly adding the reserved ¼ cup (50 grams) sugar to the whites as you beat.
Fold the egg white mixture into the cake batter. Scrape into the greased springform pan.
Bake for 30 minutes or until a toothpick inserted in center comes out clean. Cool on a rack for 10-15 minutes and remove the ring from the springform pan. When cool, you can garnish with a little powdered sugar.