[논문]Strip Tension Control Considering the Temperature Change in Multi-Span Systems

Lee Chang Woo; Shin Kee Hyun

doi:10.1007/bf02919178

Strip Tension Control Considering the Temperature Change in Multi-Span Systems 원문보기

Lee Chang Woo (Department of Mechanical Engineering, Konkuk University) , Shin Kee Hyun (Department of Mechanical and Aerospace Engineering, Konkuk University)

The mathematical model for tension behaviors of a moving web by Shin (2000) is extended to the tension model considering the thermal strain due to temperature variation in furnace. The extended model includes the terms that take into account the effect of the change of the Young's Modulus, the thermal coefficient, and the thermal strain on the variation of strip tension. Computer simulation study proved that the extended tension model could be used to analyze tension behaviors even when the strip goes through temperature variation. By using the extended tension model, a new tension control method is suggested in this paper. The key factors of suggested tension control method include that the thermal strain of strip could be compensated by using the velocity adjustment of the helper-rollers. The computer simulation was carried out to confirm the performance of the suggested tension control method. Simulation results show that the suggested tension control logic not only overcomes the problem of the traditional tension control logic, but also improves the performance of tension control in a furnace of the CAL (Continuous Annealing Line).

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가설 설정

(1) The tension at each span becomes different by the amount of the thermal strain due to temperature change of the material.
(2) The variation of temperature distribution can be ignored due to the small velocity change from a steady-state operating value.
(2)Although the elastic strain of each span is equal, the tension of each span is not because the Young's Modulus varies according to temperature of the material.
(3) The strain within a web is linear combination of elastic strain and thermal strain.
2, the tension and the velocity behaviors in the heating section with conventional control scheme are shown in Fig. 9. Even _白4 (at the tension-meter 2) is regulated well in steady-state, tensions in other spans are different from the tension at the tension-meter 1 because there is no velocity difference among helper rolls to remove thermal strain effect. Note that the negative tension does not necessarily represent compression but drooping.

제안 방법

A simulation study for the heating section and the final cooling section has been carried out in order to confirm the limitation of conventional control scheme and to verify the performance of the proposed control scheme. Because the temperature range of material in _比ese section are larger than those of other sections, heating section and final cooling section were modeled as fourteen-span and six-span systems respectively. And it was assumed that the property of rolls and motors was identical within the system.
In order to verify the performance of proposed control scheme, computer simulation study was carried out for a section with temperature change. From the computer simulation study, it is confirmed that the tension variation due to temperature change could be eliminated well by the proposed control scheme in the CAL.
In this paper, a mathematical model for tension behavior considering temperature change is developed in order to study tension behavior of the plants with heating or cooling materials just like in the CAL. Using the mathematical model developed, we demonstrated that it is impossible to regulate the tension in a section by using the conventional control scheme.
Consequently in order to improve productivity and quality of product, it is important to develop the tension control method considering the thermal effect in multi-span systems with temperature change. In this paper, a mathematical model for tension behaviors of a moving web by Shin is extended to the tension model which includes the thermal effect on the tension variation. By using the model developed, a new control logic that includes velocity compensator is suggested in order to eliminate thermal effect due to temperature change in a section.
By using the model developed, a new control logic that includes velocity compensator is suggested in order to eliminate thermal effect due to temperature change in a section. The computer simulation study was carried out to confirm the performance of the suggested tension control method. Simulation results show that the suggested tension control logic not only overcomes the problem of the traditional tension control logic, but also improves the performance of tension control in a furnace of the CAL.

이론/모형

Eq, (10)can be linearized as Eq. (11) by using the perturbation method.

성능/효과

The computer simulation study was carried out to confirm the performance of the suggested tension control method. Simulation results show that the suggested tension control logic not only overcomes the problem of the traditional tension control logic, but also improves the performance of tension control in a furnace of the CAL.

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Strip Tension Control Considering the Temperature Change in Multi-Span Systems 원문보기

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Strip Tension Control Considering the Temperature Change in Multi-Span Systems 원문보기

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