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Control Scheme Using Forward Slip for a Multi-stand Hot Strip Rolling Mill

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Abstract

Forward slip is an important parameter often used in rolling-speed control models for tandem hot strip rolling mills. In a hot strip mill, on-line measurement of strip speed is inherently very difficult. Therefore, for the set-up of the finishing mill, a forward slip model is used to calculate the strip speed from roll circumferential velocity at each mill stand. Due to its complexity, most previous researches have used semi-empirical methods in determining values for the forward slip. Although these investigations may be useful in process design and control, they do not have a theoretical basis. In the present study, a better forward slip model has been developed, which provides for a better set-up and more precise control of the mill. Factors such as neutral point, friction coefficient, width spread, shape of deformation zone in the roll bite are incorporated into the model. Implementation of the new forward slip model for the control of a 7-stand hot strip tandem rolling mill shows significant improvement in roll speed set-up accuracy.

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Abbreviations

Fi :

Shear force between roll and strip of the ith roll stand

fi :

Forward slip of the ith roll stand

f* i :

Plane-strain forward slip of the ith roll stand

\(\bar f\) :

Improved value for forward slip with adjustment for width variation

hi :

Exit strip thickness at the ith roll stand

Δhi :

Draft of the ith roll stand

hN i :

Strip thickness at the neutral point of the ith roll stand

Lp :

Projected contact length between the roll and the strip

Ki :

ith roll adjustment factor for determining the friction coefficient

K* i :

Factor for the ith roll stand used in the determination of Ki.

Km :

Mill deformation resistance

N:

Number of coils

Pm :

Mill load

Pi :

Roll force normal to roll surface for the ith roll stand

pi :

Roll pressure for the ith roll stand

Ri :

Radius of roll in the ith roll stand

Tm :

Mill torque

Vi,actual :

Actual strip speed (measured at steady-state conditions) for the ith roll stand

Vi,error :

Strip speed prediction error for the ith roll stand

Vi,predict :

Predicted strip speed for the ith roll stand

vi :

Exit strip velocity at the ith roll stand

v0 i :

Circumferential velocity of the ith roll stand

VN i :

Strip velocity at the neutral point of the ith roll stand

Wi :

Exit strip width at the ith roll stand

WN i :

Strip width at the neutral point of the ith roll stand

x:

Horizontal position in deformation region

αi :

Bite angle of the ith roll stand

βi :

Neutral angle of the ith roll stand

γi :

Plane-strain prediction accuracy parameter for the ith roll stand

θ:

Angular position in deformation region

μi :

Friction coefficient between the roll and the strip of the ith roll stand

μ* i :

Parameter based on torque, load and roll radius which reflects friction conditions in plane strain

Фi :

Parameter to account for width changes during deformation in the ith roll stand

References

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Author information

Authors and Affiliations

  1. School of Mechanical Engineering/ Engineering Research Center for Net Shape and Die Manufacturing, Pusan National University, 609-735, Pusan, Korea

    Young Hoon Moon & I Seok Jo

  2. Department of Metallurgical and Materials Engineering, Colorado School of Mines, 80401, Golden, CO, USA

    Chester J. Van Tyne

Authors
  1. Young Hoon Moon
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  2. I Seok Jo
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  3. Chester J. Van Tyne
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Corresponding author

Correspondence to Young Hoon Moon.

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Moon, Y.H., Jo, I.S. & Van Tyne, C.J. Control Scheme Using Forward Slip for a Multi-stand Hot Strip Rolling Mill. KSME International Journal 18, 972–978 (2004). https://doi.org/10.1007/BF02990869

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  • DOI: https://doi.org/10.1007/BF02990869

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