Method for automatically controlling width of slab during hot rough-rolling thereof

Claim 3

The method as claimed in claim 1, which comprises: detecting said variations in the width of said slab at the entry of said pair of broadening rolls by a slab width detector; and calculating said amount of roll gap correction of said pair of broadening rolls on the basis of deviations of the detected values of said variations in the slab width from a predicted width of said slab.

Claim 4

The method as claimed in claim 2, which comprises calculating said amount of roll gap correction of said pair of broadening rolls by the following two formulae: ##EQU9## in the formulae (1) and (2): ΔB C : amount of width broadening of said slab at the exit of said pair of broadening rolls; n 0 , C: constants dependent on the steel grade and the extraction temperature from the heating furnace of said slab; h: thickness of said slab at the entry of said pair of broadening rolls; B: width of said slab at the entry of said pair of broadening rolls; D: outside diameter of said broadening roll including the annular projection thereof; and, ΔH C set : initially set reduction of the pair of broadening rolls.

Claim 5

The method as claimed in claim 1, which comprises: predicting by calculating variations in the width of said slab at the entry of said pair of broadening rolls; tabulating said variations in the slab width on the basis of the predicted values of said variations in the slab width; calculating the amounts of necessary width broadening at the top portion and the bottom portion of said slab at the exit of said pair of broadening rolls on the basis of the tabulation thus prepared of said variations in the slab width; and calculating said amount of roll gap correction of said pair of broadening rolls on the basis of said predicted values of variations in the slab width and said amounts of necessary width broadening.

Claim 6

The method as claimed in claim 4, wherein said predicted values of said variations in the width of said slab are calculated by the following four formulae: ##EQU10## in the formulae (3), (4), (5) and (6): i: Pass number of the hot roughing mill; ΔB Ti : width shortage in the slab width direction at the top portion of said slab after horizontal reduction in the i-th pass; ΔB Bi : width shortage in the slab width direction at the bottom portion of said slab after horizontal reduction in the i-th pass; ΔB E Ti : width shortage in the slab width direction at the top portion of said slab after slab width reduction in the i-th pass; ΔB E Bi : width shortage in the slab width direction at the bottom portion of said slab after slab width reduction in the i-th pass; Δb Ti : width broadening in the slab width direction at the top portion of said slab after horizontal reduction in the i-th pass; Δb Bi : width broadening in the slab width direction at the bottom portion of said slab after horizontal reduction in the i-th pass; ΔL Ti : width shortage in the slab longitudinal direction at the top portion of said slab after horizontal reduction in the i-th pass; ΔL Bi : width shortage in the slab longitudinal direction at the bottom portion of said slab after horizontal reduction in the i-th pass; ΔL E Ti : length of the dog bone at the non-stationary portion of the slab top portion after width reduction of said slab in the i-th pass; ΔL E Bi : length of the dog bone at the non-stationary portion of the slab bottom portion after width reduction of said slab in the i-th pass; H i-1 : slab thickness at the entry in the i-th pass; B i-1 : slab width at the entry in the i-th pass; ΔB Ei : slab width reduction in the i-th pass; ΔH i : slab horizontal reduction in the i-th pass; ΔB i : width broadening in the slab width direction at stationary portion of said slab by horizontal reduction in the i-th pass; C 1 ˜C 8 : constants dependent on the steel grade of the slab, the slab extraction temperature from the heating furnace, the diameter of the vertical roll and other conditions; n 1 ˜n 10 : constants dependent on the steel grade of the slab, the slab extraction temperature from the heating furnace and other conditions; α Ti : correction coefficient of elongation at the top portion of said slab; and, α Bi : correction coefficient of elongation at the bottom portion of said slab.

Claim 7

The method as claimed in claim 4, wherein said amounts of necessary width broadening "ΔB C (l x )", at the top portion and the bottom portion of said slab, and said amount of roll gap correction of said pair of broadening rolls are calculated by the following four formulae: ΔB C (l x ) at the top portion of said slab ##EQU11## ΔB C (l x ) at the bottom portion of said slab ##EQU12## in the formulae (7), (8), (2) and (9): ΔB C : amount of width broadening at the stationary portion of said slab; ΔB T : width shortage in the slab width direction at the top portion of said slab; ΔB B : width shortage in the slab width direction at the bottom portion of said slab; ΔL T : width shortage in the slab longitudinal direction at the top portion of said slab; ΔL B : width shortage in the slab longitudinal direction at the bottom portion of said slab; L: longitudinal length of said slab; l x : longitudinal length of the top portion of said slab from the top end thereof; n: index approximating variations in the slab width at the top portion and the bottom portion of said slab; n 0 , C: constants dependent on the steel grade and the extraction temperature from the heating furnace of said slab; ΔH C set : initially set reduction of said pair of broadening rolls; h: thickness of said slab at the entry of said pair of broadening rolls; B: width of said slab at the entry of said pair of broadening rolls; and, D: outside diameter of said broadening roll including the annular projection thereof.

Claim 8

The method as claimed in claim 1, which comprises: calculating predicted values of variations in the width of said slab at the entry of said pair of broadening rolls by the following formulae (3) to (6): ##EQU13## in the formulae (3), (4), (5) and (6): i: Pass number of the hot roughing mill; ΔB Ti : width shortage in the slab width direction at the top portion of said slab after horizontal reduction in the i-th pass; ΔB Bi : width shortage in the slab width direction at the bottom portion of said slab after horizontal reduction in the i-th pass; ΔB E Ti : width shortage in the slab width direction at the top portion of said slab after slab width reduction in the i-th pass; ΔB E Bi : width shortage in the slab width direction at the bottom portion of said slab after slab width reduction in the i-th pass; Δb Ti : width broadening in the slab width direction at the top portion of said slab after horizontal reduction in the i-th pass; Δb Bi : width broadening in the slab width direction at the bottom portion of said slab after horizontal reduction in the i-th pass; ΔL Ti : width shortage in the slab longitudinal direction at the top portion of said slab after horizontal reduction in the i-th pass; ΔL Bi : width shortage in the slab longitudinal direction at the bottom portion of said slab after horizontal reduction in the i-th pass; ΔL E Ti : length of the dog bone at the non-stationary portion of the slab top portion after width reduction of said slab in the i-th pass; ΔL E Bi : length of the dog bone at the non-stationary portion of the slab bottom portion after width reduction of said slab in the i-th pass; H i-1 : slab thickness at the entry in the i-th pass; B i-1 : slab width at the entry in the i-th pass; ΔB Ei : slab width reduction in the i-th pass; ΔH i : slab horizontal reduction in the i-th pass; ΔB i : width broadening in the slab width direction at stationary portion of said slab by horizontal reduction in the i-th pass; C 1 ˜C 8 : constants dependent on the steel grade of the slab, the slab extraction temperature from the heating furnace, the diameter of the vertical roll and other conditions; n 1 ˜n 10 : constants dependent on the steel grade of the slab, the slab extraction temperature from the heating furnace and other conditions; α Ti : correction coefficient of elongation at the top portion of said slab; and, α Bi : correction coefficient of elongation at the bottom portion of said slab; converting said variations in the slab width into a pattern on the basis of said predicted values of said variations in the slab width; calculating the amounts of necessary width broadening at the top portion and the bottom portion of said slab at the exit of said pair of broadening rolls on the basis of said pattern of the variations in the slab width by the formulae (7), (8) and (2) set forth below; and calculating the amount of roll gap correction of said pair of broadening rolls on the basis of said predicted values of variations in the slab width and said amounts of necessary width broadening by formula (9) set forth below: ΔB C (l x ) at the top portion of said slab ##EQU14## ΔB C (l x ) at the bottom portion of said slab ##EQU15## in the formulae (7), (8), (2) and (9): ΔB C : amount of width broadening at the stationary portion of said slab; ΔB T : width shortage in the slab width direction at the top portion of said said slab; ΔB B : width shortage in the slab width direction at the bottom portion of said slab; ΔL T : width shortage in the slab longitudinal direction at the top portion of said slab; ΔL B : width shortage in the slab longitudinal direction at the bottom portion of said slab; L: longitudinal length of said slab; l x : longitudinal length of the top portion of said slab from the top end thereof; n: index approximating variations in the slab width at the top portion and the bottom portion of said slab; n 0 , C: constants dependent on the steel grade and the extraction temperature from the heating furnace of said slab; ΔH C set : initially set reduction of said pair of braodening rolls; h: thickness of said slab at the entry of said pair of broadening rolls; B: width of said slab at the entry of said pair of broadening rolls; and D: outside diameter of said broadening roll including the annular projection thereof.

Claim 11

The method as claimed in claim 9, wherein said annular projection of each of said broadening rolls is substantially at the center of the broadening rolls in the longitudinal direction of the broadening rolls.