Due to the special secondary rolling and annealing processes,the physical properties of strip ductility and stress relief differ from those of the general products.The proportional integral differential (PID)algorithm for the annealing furnace tension control and the conventional control method that only controls the total tension of the furnace entrance and exit cannot meet production continuity.Aiming at the tension in the annealing furnace,the interroll tension model of the tension of the steel strip between the adjacent furnace rolls is established.By combining the control principle of the annealing furnace roll transmission mechanism,the tension control involves the motor and frequency converter equipment.The coupling relationship between the stator current and the motor's output torque was determined through the asynchronous equivalent motor circuit.Also,the direct influence of the load torque on the calculated value of the motor's output tension was obtained through the motor vector control equation.Furthermore,the frequency converter's voltage control model was analyzed to control the motor's output tension.Finally,the adjacent furnace roll tension and the horizontal annealing furnace tension were calculated through the interroll tension model.