Combine carrot and broth in a medium saucepan; bring to a boil. Cover, reduce heat, and simmer 10 minutes.
Add orange juice concentrate, sweetener, and ginger to carrot mixture, stirring well. Cook, uncovered, over medium heat 8 minutes or until carrot is tender and liquid is reduced, stirring occasionally.
Tip: If your carrots have gone limp, soak them in ice water for 20 to 30 minutes until they are crisp again.