In a medium heavy saucepan, stir together sugar, maple syrup, water, lime peel, and lime juice. Bring to boiling; reduce heat. Simmer, uncovered, about 3 minutes or until sugar is dissolved.
Stir in cranberries. Simmer, uncovered, for 5 minutes, stirring occasionally. Stir in ginger. Simmer, uncovered, about 6 minutes more or until berries have popped and mixture starts to thicken, stirring occasionally. Cool.