Preheat oven to 400 degrees F, with a rack in the center. Make the glaze: In a small bowl, stir brown sugar, oil, soy sauce, lemon juice, and water until the sugar has dissolved.

Cut salmon into 4 equal-sized fillets; arrange skin side down, in a single layer in a foil-lined baking dish. Pour glaze over the fish and brush glaze over top to coat evenly.

Bake until fish is opaque but still bright pin inside, 15 to 20 minutes. Baste fish every 4 to 5 minutes with glaze from baking dish. Serve with lemon wedges.