Preheat Your Oven: Set it to 350°F (175°C). Line two standard muffin tins with cupcake liners.
Mix the Wet Ingredients: In a large bowl, beat the sugar, vegetable oil, and vanilla extract with an electric mixer until smooth. Add the eggs one at a time, mixing well after each addition.
Prepare the Dry Ingredients: Sift together the flour, cinnamon, baking soda, and salt in a separate bowl.
Combine Wet and Dry: Gradually add the dry ingredients to the wet mixture on low speed until just combined. Toss the grated carrots, raisins, and walnuts with a small amount of flour to coat, then fold them into the batter.
Fill the Liners: Spoon the batter into the prepared cupcake liners, filling each about three-quarters full.
Bake: Bake for 20 to 25 minutes, or until a toothpick inserted into the center comes out clean. Let the cupcakes cool in the tins for 10 minutes, then transfer them to a wire rack to cool completely.