A transport system includes a motor for moving the transport appliance and a power supply circuit of the motor. The power supply circuit is connected between the motor and a power source that is limited (Plim) in its dimensioning. An energy storage that is limited (Elim) in its capacity is fitted in connection with the power supply circuit of the motor. The control arrangement includes a determination of the charging status (EQ) of the energy storage; a determination of the movement reference of the transport appliance; and a control of the movement of the transport appliance as a response to the determined movement reference of the transport appliance. The movement reference of the transport appliance is determined on the basis of the amount of energy that can be discharged from the energy storage and/or on the basis of the amount of energy that can be charged into the energy storage as well as on the basis of the travel distance of the transport appliance.