A cooling system for an interior space of a vehicle comprises a main cooling system coupled with an air inlet for receiving air and coupled with the interior space for providing cooled air to the interior space, at least one air duct arranged between the air inlet and the interior space, a reservoir for liquid nitrogen having a nitrogen outlet and a valve arranged between the outlet and an injection port of the at least one air duct. The reservoir is couplable with the injection port of the at least one air duct via the valve on demand for evaporating nitrogen in the at least one air duct. With the injection of liquid nitrogen the main cooling system is supported in case it is not able to provide a sufficient cooling power.