Preheat oven to 350°F, and prepare three 6” springform cake pans with cooking spray and parchment rounds. In a medium to large sized mixing bowl, add the flour, baking powder, and salt, then whisk together to combine.
In a stand mixer fitted with paddle attachment, add eggs, sugar and vanilla. Beat on high for around 5 minutes, the mixture should look thick, fluffy, and be tripled in volume. Then, slowly drizzle in the oil. After all the oil has been added, beat for an additional minute.
On low, add the dry mixture to the stand mixer in 3 additions, alternating with the sour cream in between. Beat only until the batter becomes smooth. Fold in the raspberries.
Divide the batter between the three pans, then bake in the oven for around 45 to 50 minutes, or until a toothpick comes out clean. Allow cakes to cool completely before assembling.