CN102527742B - Plate shape signal compensation method for failure measurement channel of plate shape gauge - Google Patents

Abstract

The invention relates to a plate shape signal compensation method for a failure measurement channel of a plate shape gauge, which comprises the following steps of: colling rolling process information such as the width of a cold-rolled steel strip, the size of each measurement channel of the plate shape gauge, the steel strip deflection quantity and the like so as to determine the number of the channels of the plate shape gauge, which are effectively covered by the cold-rolled steel strip and carry out sequence numbering on the channels of the plate shape gauge; according to different positions of the failure measurement channel, selecting different compensation modes to carrying out compensation of a plate shape signal of the failure measurement channel. In the compensation method, by analyzing the plate shape distribution rule and trend between adjacent measurement channels at both sides of the failure measurement channel, a parabolic interpolation method is selectively introduced to replace a conventional linear interpolation method so as to improve the fidelity of the plate shape compensation signal of the failure measurement channel and provide powerful guarantee for improving the plate shape control quality of the cold-rolled steel strip. The invention effectively solves the technical problems generated when the conventional interpolation compensation method is used. The plate shape signal compensation quality of the failure channel of the plate shape gauge can be improved. The powerful guarantee is provided for improving the plate shape control quality of the cold-rolled steel strip.

Description

Plate profile instrument lost efficacy and measured the Shape signal compensation method of passage

Technical field

The present invention relates to cold-strip steel field, relate in particular to the Shape signal compensation method that passage is measured in a kind of plate profile instrument inefficacy.

Background technology

Along with the fast development of domestic and international equipment manufacture, downstream user requires also day by day to increase to the strip shape quality of cold-rolled steel strip products, particularly for industries such as high-grade automobile and high-end IT product manufactures.So cold-rolled strip steel shape quality had become one of the key technical indexes of examination belt steel product already.From control technology angle, cold-rolled strip steel shape control technology is the high complexity technology being coupled mutually between multi-subject knowledge, the control system parameters such as integrating materials, rolling mill practice, equipment, hydraulic drive, control and a computer.Domestic and international each big steel integrated complex and research institution have dropped into a large amount of human and material resources and financial resources are researched and developed the method and the technology that improve plate shape control accuracy, to strengthening core technology and the market competitiveness of iron and steel enterprise.

In order to roll out the cold-rolled steel strip products of high-quality, in cold rolling enterprise production process of modern times, extensively adopted advanced plate shape closed-loop feedback control system.In the most key part of plate shape closed-loop feedback control system, be exactly Plate Profile Measuring System, the stability of measurement mechanism and the precision of measuring-signal directly have influence on the effect of cold-rolled strip steel shape control.Plate Profile Measuring System form is varied, and whether technical staff contacts and divided into contact plate profile instrument and contactless plate profile instrument with band steel according to it conventionally.Contact plate profile instrument has the outstanding advantages such as certainty of measurement is high, measuring-signal reliable, signal antijamming capability is strong compared with contactless plate profile instrument, thereby the most of contact plate profile instrument that adopts of existing cold-strip steel closed-loop control system carries out belt plate shape on-line measurement.

Because cold-strip steel contacts with plate profile instrument roll body, band steel and measure between roll body and have tangential friction force and radial pressure, along with the sensor of the several measurement passages of increase of service time may lose efficacy and cannot continue to provide reliable plate shape measurement signal.When having the passage of measurement to occur to lose efficacy, by appropriate design method for compensating signal, it is compensated and becomes a necessary job.At present, technical staff utilizes simple linear interpolation method to carry out the Shape signal compensation of plate profile instrument inefficacy measurement passage conventionally.Its technology path is to utilize the Shape signal values of measuring immediate two the effective measurement passages of passage apart from breaking down to carry out linear interpolation calculating according to the horizontal level relation of signalling channel.The plate shape compensating signal that utilizes this simple linear interpolation compensation method to obtain can make up the consequence causing owing to measuring channel failure to a certain extent, has guaranteed that plate shape is controlled quality and is unlikely to become very poor because of measuring channel failure.But; the compensation precision of above-mentioned conventional method is conventionally not high; and lost efficacy that to measure belt plate shape corresponding to passage Shape signal after compensation distribution trend actual with it that distribute also not the same, so the plate profile instrument inefficacy channel plate shape signal compensation error that usually can run into greatly, distorted signals causes the technical problem of serious flatness defect.If the Shape signal that has the problems referred to above is offered to plate shape feedback control system, easily cause system to produce unnecessary control output, affected the raising of strip shape quality, under extreme case, can cause the serious accidents such as operation of rolling generation broken belt.

In sum, research and development can effective compensation plate profile instrument inefficacy passage Shape signal compensation method, with the fidelity that reduces plate shape compensating error, improves plate profile instrument exhaustion phase belt plate shape signal, it is a key link that further improves current cold-rolled strip steel shape level of control.

Summary of the invention

Technical problem to be solved by this invention is: provide a kind of plate profile instrument to lose efficacy and measure the Shape signal compensation method of passage; the method can effectively solve the technical problem that plate profile instrument inefficacy channel plate shape signal compensation error is large, distorted signals causes serious flatness defect that often can run into while using traditional Interpolation compensation method; can improve the Shape signal compensation quality of plate profile instrument inefficacy passage, for improving the plate shape of cold-strip steel, control quality raising strong guarantee.

The present invention solves its technical problem and adopts following technical scheme:

Plate profile instrument provided by the invention lost efficacy and measured the Shape signal compensation method of passage, specifically: collection cold-strip steel width, plate profile instrument are respectively measured the operation of rolling information such as channel size, strip running deviation amount, thereby determine the plate profile instrument number of active lanes of the effective covering of cold-strip steel and it is carried out to serial number; According to losing efficacy, measure passage present position difference and select different compensation ways to lose efficacy and measure the compensation of passage Shape signal, compensation method was lost efficacy and was measured the adjacent measurement in the both sides interchannel plate shape regularity of distribution and the trend of passage by reasonable analysis, optionally introduce parabolic interpolation and substitute traditional linear interpolation method, the fidelity of the plate shape compensating signal that can significantly improve lost efficacy measures passage, controls quality raising strong guarantee for improving the plate shape of cold-strip steel.

Plate profile instrument provided by the invention lost efficacy and measured the Shape signal compensation method of passage, and its step comprises:

(1) collect cold-strip steel width B (unit is mm), each measurement channel width size (unit is mm) of selected plate profile instrument, and horizontal range d (be also called strip running deviation amount, unit is mm) between cold-strip steel cross central line and plate profile instrument cross central line.

(2) determine the plate profile instrument measurement number of active lanes N effectively being covered by cold-strip steel, and by the fore side of milling train, to transmission side side's upstream sequence, described N plate profile instrument measured to passage and is numbered, be respectively No. 1 passage, No. 2 passage ..., N passage.Simultaneously determine this N measurement passage width dimensions wi (i=1,2 ..., N; Unit is mm)., take plate profile instrument measuring roller transverse center point as boundary, near the measurement number of active lanes of milling train fore side, be wherein N1, near the measurement number of active lanes of milling train transmission side, be N2, and have N=N ₁+ N ₂.

(3) determine the sequence number i that the measurement passage losing efficacy occurs.If i=1, goes to step (4); If i=N, goes to step (5); If 1 < i < N, transposition step (6).

(4) read with No. 1 and measure immediate two the effective Shape signal value F that measure passage (be expressed as and measure passage for No. m and measure passage No. n, and have m<n) here of passage _mand F _n, calculate respectively No. 1, No. m and n passage corresponding coordinate figure on take plate profile instrument measuring roller transverse center point as the origin of coordinates, near the reference axis of transmission side direction in positive direction:

${\mathrm{<figure-callout\; id="1"\; label="X"\; filenames="HDA0000131251040000011.png"\; state="\{\{state\}\}">X</figure-callout>}}_1=-(\frac{w_1}{2}+\underset{k=1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k),X_m=-(\frac{w_{\mathrm{<figure-callout\; id="2"\; label="m"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">m</figure-callout>}}}{2}+\underset{k=m+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k),X_n=-(\frac{w_{\mathrm{<figure-callout\; id="2"\; label="n"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">n</figure-callout>}}}{2}+\underset{k=n+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k),$

Then utilize linear interpolation method to calculate and go to step (9) after the Shape signal offset of No. 1 passage:

${\mathrm{<figure-callout\; id="1"\; label="F"\; filenames="HDA0000131251040000011.png"\; state="\{\{state\}\}">F</figure-callout>}}_1=\frac{F_n(X_m-X_1)-F_m(X_n-X_1)}{X_m-X_n}.$

(5) read with No. N and measure immediate two the effective Shape signal value F that measure passage (be expressed as and measure passage for No. m and measure passage No. n, and have m<n) here of passage _mand F _n, calculate respectively No. m, No. n and N passage corresponding coordinate figure on take plate profile instrument measuring roller transverse center point as the origin of coordinates, near the reference axis of transmission side direction in positive direction:

$X_m=\frac{w_{\mathrm{<figure-callout\; id="2"\; label="m"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">m</figure-callout>}}}{2}+\underset{k={\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HDA0000131251040000011.png"\; state="\{\{state\}\}">N</figure-callout>}}_1+1}{\overset{m-1}{\mathrm{\&Sigma;}}}{w}_k,X_n=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; n"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_n}{2}+\underset{k={\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HDA0000131251040000011.png"\; state="\{\{state\}\}">N</figure-callout>}}_1+1}{\overset{n-1}{\mathrm{\&Sigma;}}}{w}_k,X_N=\frac{w_{N-1}}{2}+\underset{k={\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HDA0000131251040000011.png"\; state="\{\{state\}\}">N</figure-callout>}}_1+1}{\overset{N-1}{\mathrm{\&Sigma;}}}{w}_k,$

Then utilize linear interpolation method to calculate and go to step (9) after the Shape signal offset of N passage:

$F_N=\frac{F_n(X_N-X_m)-F_m(X_N-X_n)}{X_n-X_m}.$

(6) if 1 < i≤N ₁, transposition step (7); If N ₁< i < N, transposition step (8).

(7) if being less than the measurement passage of i, sequence number all lost efficacy, read sequence number and be greater than the Shape signal value F that approach two effective measurement passages (be expressed as and measure passage for No. m and measure passage No. n, and have m<n) of measuring passage for No. i in i most here _mand F _n, calculate respectively No. i, No. m and n passage corresponding coordinate figure on take plate profile instrument measuring roller transverse center point as the origin of coordinates, near the reference axis of transmission side direction in positive direction:

If i<N ₁,

if i=N ₁,

if m < is N ₁, $X_m=-(\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; m"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_m}{2}+\underset{k=m+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k);$ If m=N ₁, $X_m=-\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; m"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_m}{2};$ If m=N ₁+ 1, $X_m=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; m"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_m}{2};$ If m > is N ₁+ 1, $X_m=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; m"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_m}{2}+\underset{k={\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HDA0000131251040000011.png"\; state="\{\{state\}\}">N</figure-callout>}}_1+1}{\overset{m-1}{\mathrm{\&Sigma;}}}{w}_k;$ If n < is N ₁, $X_n=-(\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; n"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_n}{2}+\underset{k=n+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k);$ If n=N ₁, $X_n=-\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; n"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_n}{2};$ If n=N ₁+ 1, $X_n=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; n"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_n}{2};$ If n > is N ₁+ 1, $X_n=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; n"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_n}{2}+\underset{k=N_1+1}{\overset{n-1}{\mathrm{\&Sigma;}}}{w}_k;$

Then utilize linear interpolation method to calculate and go to step (9) after the Shape signal offset of i passage:

$F_i=\frac{F_n(X_m-X_i)-F_m(X_n-X_i)}{X_m-X_n}.$

If being less than in the measurement passage of i, sequence number only have a passage effective, this channel position for and have 1≤j < i, reading j passage, sequence number is greater than to approach most in i and measures two of passage for No. i and effectively measure the Shape signal value F of passages (be expressed as and measure passage for No. m and measure passage No. n, and have m<n) here _j, F _mand F _n, compare in two kinds of situation F _j, F _mand F _nbetween position relationship, specific as follows:

If a) (F _n-F _m) × (F _j-F _m)≤0, calculate respectively No. j, No. i and m passage corresponding coordinate figure on take plate profile instrument measuring roller transverse center point as the origin of coordinates, near the reference axis of transmission side direction in positive direction:

$X_j=-(\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; j"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_j}{2}+\underset{k=j+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k),$ If i<N ₁, $X_i=-(\frac{w_i}{2}+\underset{k=i+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k);$ If i=N ₁, $X_i=-\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; i"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_i}{2};$ If m < is N ₁, $X_m=-(\frac{w_{\mathrm{<figure-callout\; id="2"\; label="m"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">m</figure-callout>}}}{2}+\underset{k=m+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k);$ If n=N ₁, $X_m=-\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; m"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_m}{2};$ If m=N ₁+ 1, $X_m=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; m"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_m}{2};$ If m > is N ₁+ 1, $X_m=\frac{w_{\mathrm{<figure-callout\; id="2"\; label="m"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">m</figure-callout>}}}{2}+\underset{k={\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HDA0000131251040000011.png"\; state="\{\{state\}\}">N</figure-callout>}}_1+1}{\overset{m-1}{\mathrm{\&Sigma;}}}{w}_k;$

Then utilize linear interpolation method to calculate and go to step (9) after the Shape signal offset of i passage:

$F_i=\frac{F_m(X_i-X_j)-F_j(X_i-X_m)}{X_m-X_j};$

If b) (F _n-F _m) × (F _j-F _m) >0, calculate respectively No. j, No. i, No. m, n passage corresponding coordinate figure in the reference axis take plate profile instrument measuring roller transverse center point as the origin of coordinates, near transmission side direction in positive direction:

$X_j=-(\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; j"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_j}{2}+\underset{k=j+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k),$ If i<N ₁, $X_i=-(\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; i"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_i}{2}+\underset{k=i+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k);$ If i=N ₁, $X_i=-\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; i"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_i}{2};$ If m < is N ₁,

if n=N ₁,

if m=N ₁+ 1, $X_m=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; m"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_m}{2};$ If m > is N ₁+ 1, $X_m=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; m"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_m}{2}+\underset{k={\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HDA0000131251040000011.png"\; state="\{\{state\}\}">N</figure-callout>}}_1+1}{\overset{m-1}{\mathrm{\&Sigma;}}}{w}_k;$ If n < is N ₁, $X_n=-(\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; n"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_n}{2}+\underset{k=n+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k);$ If n=N ₁, $X_n=-\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; n"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_n}{2};$ If n=N ₁+ 1, $X_n=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; n"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_n}{2};$ If n > is N ₁+ 1, $X_n=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; n"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_n}{2}+\underset{k=N_1+1}{\overset{n-1}{\mathrm{\&Sigma;}}}{w}_k;$

Then utilize parabolic interpolation to calculate and go to step (9) after the Shape signal offset of i passage:

$\left(\begin{array}{c}a\\ b\\ c\end{array}\right)={\left[\begin{array}{ccc}0& 0& 1\\ {(X_m-X_j)}^2& (X_m-X_j)& 1\\ {(X_n-X_j)}^2& (X_n-X_j)& 1\end{array}\right]}^{-1}\&times;\left(\begin{array}{c}{F}_j\\ F_m\\ F_n\end{array}\right),$

F _i＝a×(X _i-X _j) ²+b×(X _i-X _j)+c。

If it is effective that sequence number is less than in the measurement passage of i two or more passages, reading respectively sequence number is less than to approach most in i and measures two of passage for No. i and effectively measure passages and (be expressed as here and measure passage for No. h and measure passage No. j, and have h<j) Shape signal and sequence number be greater than to approach most in i and measure two of passage for No. i and effectively measure the Shape signal value F of passages (be expressed as and measure passage for No. m and measure passage No. n, and have m<n) here _h, F _j, F _mand F _n, compare in two kinds of situation F _h, F _j, F _mand F _nbetween position relationship, specific as follows:

If a) (F _n-F _m) × (F _j-F _h)>=0, calculate respectively No. j, No. i and m passage corresponding coordinate figure on take plate profile instrument measuring roller transverse center point as the origin of coordinates, near the reference axis of transmission side direction in positive direction:

$X_j=-(\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; j"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_j}{2}+\underset{k=j+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k),$ If i<N ₁, $X_i=-(\frac{w_i}{2}+\underset{k=i+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k),$ If i=N ₁, $X_i=-\frac{w_i}{2},$ If m < is N ₁, $X_m=-(\frac{w_{\mathrm{<figure-callout\; id="2"\; label="m"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">m</figure-callout>}}}{2}+\underset{k=m+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k),$ If n=N ₁, $X_m=-\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; m"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_m}{2},$ If m=N ₁+ 1, $X_m=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; m"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_m}{2},$ If m > is N ₁+ 1, $X_m=\frac{w_{\mathrm{<figure-callout\; id="2"\; label="m"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">m</figure-callout>}}}{2}+\underset{k={\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HDA0000131251040000011.png"\; state="\{\{state\}\}">N</figure-callout>}}_1+1}{\overset{m-1}{\mathrm{\&Sigma;}}}{w}_k,$

Then utilize linear interpolation method to calculate and go to step (9) after the Shape signal offset of i passage:

$F_i=\frac{F_m(X_i-X_j)-F_j(X_i-X_m)}{X_m-X_j};$

If b) (F _n-F _m) × (F _j-F _h) <0, calculate respectively and measure passage respective coordinates value in the reference axis take plate profile instrument measuring roller transverse center point as the origin of coordinates, near transmission side direction in positive direction for No. h, No. j, No. i, No. m:

$X_h=-(\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; h"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_h}{2}+\underset{k=h+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k),$ $X_j=-(\frac{w_{\mathrm{<figure-callout\; id="2"\; label="j"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">j</figure-callout>}}}{2}+\underset{k=j+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k),$ If i<N ₁, $X_i=-(\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; i"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_i}{2}+\underset{k=i+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k);$ If i=N ₁, $X_i=-\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; i"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_i}{2};$ If m < is N ₁, $X_m=-(\frac{w_{\mathrm{<figure-callout\; id="2"\; label="m"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">m</figure-callout>}}}{2}+\underset{k=m+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k);$ If m=N ₁, $X_m=-\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; m"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_m}{2};$ If m=N ₁+ 1, $X_m=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; m"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_m}{2};$ If m > is N ₁+ 1, $X_m=\frac{w_{\mathrm{<figure-callout\; id="2"\; label="m"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">m</figure-callout>}}}{2}+\underset{k={\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HDA0000131251040000011.png"\; state="\{\{state\}\}">N</figure-callout>}}_1+1}{\overset{m-1}{\mathrm{\&Sigma;}}}{w}_k;$

Then utilize parabolic interpolation to calculate and go to step (9) after the Shape signal offset of i passage:

$\left(\begin{array}{c}a\\ b\\ c\end{array}\right)={\left[\begin{array}{ccc}0& 0& 1\\ {(X_j-X_h)}^2& (X_j-X_h)& 1\\ {(X_m-X_h)}^2& (X_m-X_h)& 1\end{array}\right]}^{-1}\&times;\left(\begin{array}{c}{F}_h\\ F_j\\ F_m\end{array}\right),$

F _i＝a×(X _i-X _h) ²+b×(X _i-X _h)+c。

(8) if being greater than the measurement passage of i, sequence number all lost efficacy, read sequence number and be less than the Shape signal F that approach two effective measurement passages (be expressed as and measure passage for No. h and measure passage No. j, and have h<j) of measuring passage for No. i in i most here _hand F _j, calculate respectively No. i, No. h and j passage corresponding coordinate figure on take plate profile instrument measuring roller transverse center point as the origin of coordinates, near the reference axis of transmission side direction in positive direction:

If i=N ₁+ 1, if i>N ₁+ 1,

if h < is N ₁, $X_h=-(\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; h"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_h}{2}+\underset{k=h+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k),$ If h=N ₁, $X_h=-\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; h"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_h}{2},$ If h=N ₁+ 1, $X_h=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; h"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_h}{2},$ If h > is N ₁+ 1, $X_h=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; h"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_h}{2}+\underset{k=N_1+1}{\overset{h-1}{\mathrm{\&Sigma;}}}{w}_k,$ If j < is N ₁, $X_j=-(\frac{w_{\mathrm{<figure-callout\; id="2"\; label="j"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">j</figure-callout>}}}{2}+\underset{k=j+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k),$ If j=N ₁, $X_j=-\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; j"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_j}{2},$ If j=N ₁+ 1, $X_j=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; j"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_j}{2},$ If j > is N ₁+ 1, $X_j=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; j"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_j}{2}+\underset{k={\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HDA0000131251040000011.png"\; state="\{\{state\}\}">N</figure-callout>}}_1+1}{\overset{j-1}{\mathrm{\&Sigma;}}}{w}_k;$

Then utilize linear interpolation method to calculate and go to step (9) after the Shape signal offset of i passage:

$F_i=\frac{F_h(X_i-X_j)-F_j(X_i-X_h)}{X_h-X_j}.$

If sequence number is greater than in the measurement passage of i, only have a passage effective, this channel position for and have i < j≤N, read the Shape signal F of j passage _j, sequence number is less than to approach most in i and measures two of passage for No. i and effectively measure the Shape signal F that passages are measured passage for No. m and measured passage for No. n _mand F _n, and have m<n, then compare F in two kinds of situation _j, F _mand F _nbetween position relationship, specific as follows:

If a) (F _m-F _n) × (F _j-F _n)≤0, calculate respectively No. j, No. i and n passage corresponding coordinate figure on take plate profile instrument measuring roller transverse center point as the origin of coordinates, near the reference axis of transmission side direction in positive direction:

$X_j=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; j"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_j}{2}+\underset{k={\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HDA0000131251040000011.png"\; state="\{\{state\}\}">N</figure-callout>}}_1+1}{\overset{j-1}{\mathrm{\&Sigma;}}}{w}_k,$ If i=N ₁+ 1, $X_i=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; i"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_i}{2},$ If i>N ₁+ 1, $X_i=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; i"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_i}{2}+\underset{k={\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HDA0000131251040000011.png"\; state="\{\{state\}\}">N</figure-callout>}}_1+1}{\overset{i-1}{\mathrm{\&Sigma;}}}{w}_k,$ If n < is N ₁, $X_n=-(\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; n"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_n}{2}+\underset{k=n+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k),$ If n=N ₁, $X_n=-\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; n"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_n}{2},$ If n=N ₁+ 1, $X_n=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; n"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_n}{2},$ If n > is N ₁+ 1, $X_n=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; n"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_n}{2}+\underset{k={\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HDA0000131251040000011.png"\; state="\{\{state\}\}">N</figure-callout>}}_1+1}{\overset{n-1}{\mathrm{\&Sigma;}}}{w}_k;$

Then utilize linear interpolation method to calculate and go to step (9) after i channel plate shape signal compensation value:

$F_i=\frac{F_n(X_j-X_i)-F_j(X_n-X_i)}{X_j-X_n};$

If b) (F _m-F _n) × (F _j-F _n) >0, calculate respectively No. j, No. i, No. n, m passage corresponding coordinate figure in the reference axis take plate profile instrument measuring roller transverse center point as the origin of coordinates, near transmission side direction in positive direction:

$X_j=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; j"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_j}{2}+\underset{k={\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HDA0000131251040000011.png"\; state="\{\{state\}\}">N</figure-callout>}}_1+1}{\overset{j-1}{\mathrm{\&Sigma;}}}{w}_k,$ If i=N ₁+ 1, $X_i=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; i"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_i}{2};$ If i>N ₁+ 1, $X_i=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; i"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_i}{2}+\underset{k={\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HDA0000131251040000011.png"\; state="\{\{state\}\}">N</figure-callout>}}_1+1}{\overset{i-1}{\mathrm{\&Sigma;}}}{w}_k;$ If n < is N ₁, $X_n=-(\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; n"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_n}{2}+\underset{k=n+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k);$ If n=N ₁, $X_n=-\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; n"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_n}{2};$ If n=N ₁+ 1, $X_n=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; n"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_n}{2};$ If n > is N ₁+ 1, $X_n=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; n"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_n}{2}+\underset{k={\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HDA0000131251040000011.png"\; state="\{\{state\}\}">N</figure-callout>}}_1+1}{\overset{n-1}{\mathrm{\&Sigma;}}}{w}_k;$ If m < is N ₁, $X_m=-(\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; m"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_m}{2}+\underset{k=m+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k);$ If n=N ₁, $X_m=-\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; m"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_m}{2};$ If m=N ₁+ 1, $X_m=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; m"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_m}{2};$ If m > is N ₁+ 1, $X_m=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; m"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_m}{2}+\underset{k={\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HDA0000131251040000011.png"\; state="\{\{state\}\}">N</figure-callout>}}_1+1}{\overset{m-1}{\mathrm{\&Sigma;}}}{w}_k;$

Then utilize parabolic interpolation to calculate and go to step (9) after the Shape signal offset of i passage:

$\left(\begin{array}{c}a\\ b\\ c\end{array}\right)={\left[\begin{array}{ccc}0& 0& 1\\ {(X_n-X_j)}^2& (X_n-X_j)& 1\\ {(X_m-X_j)}^2& (X_m-X_j)& 1\end{array}\right]}^{-1}\&times;\left(\begin{array}{c}{F}_j\\ F_n\\ F_m\end{array}\right),$

F _i＝a×(X _i-X _j) ²+b×(X _i-X _j)+c。

If it is effective that sequence number is greater than in the measurement passage of i two or more passages, read sequence number and be less than to approach most in i and measure two of passage for No. i and effectively measure the Shape signal F that passages are measured passage for No. h and measured passage for No. j _h, F _j, and have h<j, and read sequence number and be greater than to approach most in i and measure two of passage for No. i and effectively measure the Shape signal value F that passages are measured passage for No. m and measured passage for No. n _m, F _n, and have m<n, then compare F in two kinds of situation _h, F _j, F _mand F _nbetween position relationship:

If a) (F _n-F _m) × (F _j-F _h)>=0, calculate respectively No. j, No. i and m passage corresponding coordinate figure on take plate profile instrument measuring roller transverse center point as the origin of coordinates, near the reference axis of transmission side direction in positive direction:

If j < is N ₁,

if j=N ₁,

if j=N ₁+ 1, $X_j=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; j"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_j}{2};$ If j > is N ₁+ 1, $X_j=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; j"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_j}{2}+\underset{k={\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HDA0000131251040000011.png"\; state="\{\{state\}\}">N</figure-callout>}}_1+1}{\overset{j-1}{\mathrm{\&Sigma;}}}{w}_k;$ If i=N ₁+ 1, $X_i=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; i"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_i}{2};$ If i>N ₁+ 1, $X_i=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; i"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_i}{2}+\underset{k={\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HDA0000131251040000011.png"\; state="\{\{state\}\}">N</figure-callout>}}_1+1}{\overset{i-1}{\mathrm{\&Sigma;}}}{w}_k,$ $X_m=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; m"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_m}{2}+\underset{k={\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HDA0000131251040000011.png"\; state="\{\{state\}\}">N</figure-callout>}}_1+1}{\overset{m-1}{\mathrm{\&Sigma;}}}{w}_k;$

Then utilize linear interpolation method to calculate and go to step (9) after i channel plate shape signal compensation value:

$F_i=\frac{F_m(X_i-X_j)-F_j(X_i-X_m)}{X_m-X_j};$

If b) (F _n-F _m) × (F _j-F _h) <0, calculate respectively No. j, No. i, No. m, n passage respective coordinates value in the reference axis take plate profile instrument measuring roller transverse center point as the origin of coordinates, near transmission side direction in positive direction:

If j < is N ₁, if j=N ₁,

if j=N ₁+ 1, $X_j=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; j"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_j}{2};$ If j > is N ₁+ 1, $X_j=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; j"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_j}{2}+\underset{k={\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HDA0000131251040000011.png"\; state="\{\{state\}\}">N</figure-callout>}}_1+1}{\overset{j-1}{\mathrm{\&Sigma;}}}{w}_k;$ If i=N ₁+ 1, $X_i=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; i"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_i}{2};$ If i>N ₁+ 1, $X_i=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; i"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_i}{2}+\underset{k={\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HDA0000131251040000011.png"\; state="\{\{state\}\}">N</figure-callout>}}_1+1}{\overset{i-1}{\mathrm{\&Sigma;}}}{w}_k,X_m=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; m"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_m}{2}+\underset{k={\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HDA0000131251040000011.png"\; state="\{\{state\}\}">N</figure-callout>}}_1+1}{\overset{m-1}{\mathrm{\&Sigma;}}}{w}_k,X_n=\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; n"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">w</figure-callout>}}_n}{2}+\underset{k={\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HDA0000131251040000011.png"\; state="\{\{state\}\}">N</figure-callout>}}_1+1}{\overset{n-1}{\mathrm{\&Sigma;}}}{w}_k;$

Then utilize parabolic interpolation to calculate and go to step (9) after the Shape signal offset of i passage:

$\left(\begin{array}{c}a\\ b\\ c\end{array}\right)={\left[\begin{array}{ccc}0& 0& 1\\ {(X_m-X_j)}^2& (X_m-X_j)& 1\\ {(X_n-X_j)}^2& (X_n-X_j)& 1\end{array}\right]}^{-1}\&times;\left(\begin{array}{c}{F}_j\\ F_m\\ F_n\end{array}\right),$

F _i＝a×(X _i-X _j) ²+b×(X _i-X _j)+c。

(9) by the F calculating _ibe sent to plat control system, for the control of cold-rolled strip steel shape closed loop feedback; Send host computer simultaneously to, for plate shape, show or provide reference for Artificial Control.

Plate profile instrument provided by the invention lost efficacy and measured the Shape signal compensation method of passage, compared with prior art had the following advantages:

1. reasonable analysis lost efficacy and measured the adjacent measurement in the both sides interchannel plate shape regularity of distribution and the trend of passage, optionally introduced parabolic interpolation and substituted traditional linear interpolation method, and can significantly improve lost efficacy measures the plate shape compensating signal precision of passage;

2. when significantly improving plate profile instrument inefficacy measurement channel plate shape compensating signal quality, its on-line calculation does not increase a lot, after once lose efficacy, measurement channel position is determined, the inverse matrix of using in described parabolic interpolation can be determined and all remain unchanged within the subsequent control cycle, whole Shape signal compensation method realizes simply, reaction speed is fast, meets the requirement of real-time when header board shape automatic control system completely.

In a word; effectively solve the technical problem that plate profile instrument inefficacy channel plate shape signal compensation error is large, distorted signals causes serious flatness defect that often can run into while using traditional Interpolation compensation method; can significantly improve the Shape signal compensation quality of plate profile instrument inefficacy passage, for improving the plate shape of cold-strip steel, control quality raising strong guarantee.

Accompanying drawing explanation

Fig. 1 is that channel plate shape compensation value calculation flow chart is measured in the plate shape inefficacy of the inventive method.

Fig. 2 is the plate shape distribution map of being measured by the plate profile instrument of completely normal work in this example.

Fig. 3 is the plate shape distribution map while measuring channel failure No. 21 and No. 22 in this example.

Fig. 4 compensates rear obtained plate shape distribution map for employing tradition interpolation method.

Fig. 5 is for adopting the inventive method to compensate rear obtained plate shape distribution map.

Fig. 6 is conventional method and the inventive method compensating error effect comparison diagram in this example.

The specific embodiment

Plate profile instrument provided by the invention lost efficacy and measured the Shape signal compensation method of passage, as shown in Figure 1, this inventive method specific works flow process is: collection cold-strip steel width, plate profile instrument are respectively measured the operation of rolling information such as channel size, strip running deviation amount, thereby determines the effective plate profile instrument number of active lanes covering of cold-strip steel and it is carried out to serial number; According to losing efficacy, measure passage present position difference and select different compensation ways to lose efficacy and measure the compensation of passage Shape signal, compensation method was lost efficacy and was measured the adjacent measurement in the both sides interchannel plate shape regularity of distribution and the trend of passage by reasonable analysis, optionally introduce parabolic interpolation and substitute traditional linear interpolation method, the fidelity of the plate shape compensating signal that can significantly improve lost efficacy measures passage, controls quality raising strong guarantee for improving the plate shape of cold-strip steel.

Below in conjunction with embodiment and Fig. 2 to Fig. 6, the invention will be further described, but do not limit the present invention.

The Shape signal compensation method of measuring passage based on a kind of plate profile instrument inefficacy of the present invention can be used for four rollers, six roller single chassis or multi-frame tandem mills.Below take a single chassis six-high cluster mill as example, the product that six-high cluster mill can rolling comprises common plate, high-strength steel, part stainless steel and silicon steel etc.The present embodiment rolling be middle high grade silicon steel, type is UCM milling train, plate shape control device comprises that roller declination, the positive and negative roller of working roll, the positive roller of intermediate calender rolls, intermediate roll shifting and emulsion section are cooling etc.Wherein intermediate roll shifting is to preset according to strip width, and adjusting principle is that intermediate calender rolls body of roll edge is alignd with steel edge portion, also can be considered to add a correction by operation side, is transferred to a rear holding position constant; Emulsion section is cooling has larger characteristic time lag.Thereby the plate shape control device of on-line control mainly contains three kinds of roller declinations, the positive and negative roller of working roll, the positive roller of intermediate calender rolls.Basic mechanical design feature index and the device parameter of this unit are:

Mill speed: Max900m/min, draught pressure: Max18000KN, maximum rolling force square: 140.3KN × m, coiling tension: Max220KN, main motor current: 5500KW;

Supplied materials thickness range: 1.8～2.5mm, supplied materials width range: 850～1280mm, outgoing gauge scope: 0.3mm～1.0mm;

Work roll diameter: 290～340mm, working roll height: 1400mm, intermediate calender rolls diameter: 440～500mm, intermediate calender rolls height: 1640mm, backing roll diameter: 1150～1250mm, backing roll height: 1400mm;

Every side work roll bending power :-280～350KN, every side intermediate calender rolls bending roller force: 0～500KN, the axial traversing amount of intermediate calender rolls :-120～120mm, auxiliary hydraulic system pressure: 14MPa, balance bending system pressure: 28MPa, press down system pressure: 28MPa.

Plate Profile Measuring System (being generally contact plate profile instrument) adopts ABB AB's plate shape roller of Sweden, this plate shape roller roller footpath 313mm, by single solid steel axle, formed, broad ways is divided into a measured zone every 52mm or 26mm, in each measured zone, the surrounding at measuring roller is uniform-distribution with four grooves to place magnetoelasticity power sensor vertically, and the outside of sensor is wrapped up by steel loop.Product specification in this example (thickness × width) is: 0.80mm × 1250mm, and in the middle of plate profile instrument, 20 measurement section width are 52mm, all the other two-sided measurement section width are 26mm.

Fig. 1 has provided the plate shape inefficacy of the inventive method and has measured channel plate shape compensation value calculation flow chart.Based on Fig. 1, the lost efficacy concrete calculation process of the Shape signal compensation of measuring passage of the present embodiment is:

1. collect this example operation of rolling parameter: cold-strip steel width B=1250mm, in the middle of plate profile instrument, 20 measurement section width are 52mm, all the other two-sided measurement section width are 26mm, horizontal range d=2mm between cold-strip steel cross central line and plate profile instrument cross central line, and cold-strip steel center line deflection milling train transmission side.

2. take plate profile instrument measuring roller transverse center point as boundary, near milling train fore side with near the measurement number of active lanes of milling train transmission side, be respectively:

${\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HDA0000131251040000011.png"\; state="\{\{state\}\}">N</figure-callout>}}_1=|10+\frac{\frac{1250}{2}-52\&times;10-2}{26}|=14,{\mathrm{<figure-callout\; id="2"\; label="N"\; filenames="HDA0000131251040000021.png,HDA0000131251040000022.png"\; state="\{\{state\}\}">N</figure-callout>}}_2=|10+\frac{\frac{1250}{2}-52\&times;10+2}{26}=14.$

Thereby the plate profile instrument effectively being covered by cold-strip steel is measured number of active lanes N=N ₁+ N ₂=28.By the fore side of milling train, to transmission side side's upstream sequence, described 28 plate profile instruments are measured to passage and are numbered, be respectively No. 1 passage, No. 2 passage ..., No. 28 passage, determine these 28 width dimensions of measuring passages simultaneously:

W _i=26mm (i=1,2,3,4,25,26,27,28) and w _i=52mm (i=5,6 ..., 23,24).

3. due to the contact friction of measuring in production process between passage and belt steel surface, make plate profile instrument in use for some time certain or certain several measurement passages can be damaged and lose efficacy, now need inefficacy passage Shape signal to compensate processing.In order to verify the validity of compensation method of the present invention, take the Shape signal that gathered by the good ABB plate profile instrument of working condition in a certain control cycle in this example as example, 28 Shape signals of measuring passages as shown in Figure 2.Here the measurement passage that hypothesis occurs to lose efficacy is respectively No. 21 and No. 22 and measures passage, and the Shape signal value of now measuring passage for No. 21 and No. 22 is zero, and effectively Shape signal as shown in Figure 3.If now adopt traditional linear interpolation method to carry out measuring for No. 21 and No. 22 the Shape signal compensation of passage, can obtain the rear plate shape distribution map that compensates as shown in Figure 4.From to Fig. 2 and Fig. 4 to recently, No. 21 of obtaining of traditional linear interpolation method and measure for No. 22 passage be respectively-2.3238I of plate shape offset and-2.1183I, and in Fig. 2 No. 21 and No. 22 measure passage be respectively-2.8780I of plate shape actual value and-2.7478I, between visible plate shape actual value and offset, there is relatively large deviation, by the known compensator section plate of contrast shape curve and the actual plate shape plots changes of Fig. 2 and Fig. 4, differ also larger in addition.We adopt compensation method of the present invention to carry out measuring for No. 21 and No. 22 the Shape signal compensation of passage below, because these two sequence numbers of measuring passage all meet decision condition 1 < i < 28, therefore computational process goes to the step 6 in Fig. 1.

4. the measurement channel position that occurs to lose efficacy is i=21 and i=22, all meets 14 < i < 28, so computational process goes to the step 8 in Fig. 1.

5. first carry out losing efficacy and measuring the plate shape compensation of passage for No. 21:

Now sequence number be greater than in 21 measurement passage, have No. 23 to No. 28 totally six to measure passages effective, read the Shape signal value F of No. 19 passage, No. 20 passage, No. 23 passage and No. 24 passage ₁₉=-1.8969I, F ₂₀=-2.5293I, F ₂₃=-1.9129I and F ₂₄=-0.1172I, simultaneously F ₁₉, F ₂₀, F ₂₃and F ₂₄between position relationship be: (F ₂₄-F ₂₃) × (F ₂₀-F ₁₉) <0, calculate respectively No. 20, No. 21, No. 23, No. 24 passage respective coordinates value in the reference axis take plate profile instrument measuring roller transverse center point as the origin of coordinates, near transmission side direction in positive direction:

$X_{20}=\frac{w_{20}}{2}+\underset{k=15}{\overset{19}{\mathrm{\&Sigma;}}}{w}_k=286\mathrm{mm},X_{21}=\frac{w_{21}}{2}+\underset{k=15}{\overset{20}{\mathrm{\&Sigma;}}}{w}_k=338\mathrm{mm},$

$X_{23}=\frac{w_{23}}{2}+\underset{k=15}{\overset{22}{\mathrm{\&Sigma;}}}{w}_k=442\mathrm{mm},X_{24}=\frac{w_{24}}{2}+\underset{k=15}{\overset{23}{\mathrm{\&Sigma;}}}{w}_k=494\mathrm{mm},$

Then utilize parabolic interpolation to calculate the Shape signal offset of measuring passage for No. 21:

$\begin{array}{c}\left(\begin{array}{c}a\\ b\\ c\end{array}\right)={\left[\begin{array}{ccc}0& 0& 1\\ {(X_{23}-X_{20})}^2& (X_{23}-X_{20})& 1\\ {(X_{24}-X_{20})}^2& (X_{23}-X_{20})& 1\end{array}\right]}^{-1}\&times;\left(\begin{array}{c}{F}_{20}\\ F_{23}\\ F_{24}\end{array}\right)\\ =\left[\begin{array}{ccc}0& -0.0001& 0.0001\\ -0.0112& 0.0256& -0.0144\\ 1.0000& 0& 0\end{array}\right]\&times;\left(\begin{array}{c}-1.8969\\ -1.9129\\ -0.1172\end{array}\right)\\ =\left(\begin{array}{c}0.0001\\ -0.0190\\ -2.5293\end{array}\right)\end{array}$

F ₂₁＝a×(X ₂₁-X ₂₀) ²+b×(X ₂₁-X ₂₀)+c＝-3.1189I。

6. next carry out losing efficacy and measuring the plate shape compensation of passage for No. 22:

Now sequence number be greater than in 22 measurement passage, have No. 23 to No. 28 totally six to measure passages effective, read the Shape signal value F of No. 19 passage, No. 20 passage, No. 23 passage and No. 24 passage ₁₉=-1.8969I, F ₂₀=-2.5293I, F ₂₃=-1.9129I and F ₂₄=-0.1172I, simultaneously F ₁₉, F ₂₀, F ₂₃and F ₂₄between position relationship be: (F ₂₄-F ₂₃) × (F ₂₀-F ₁₉) <0, calculate respectively No. 20, No. 22, No. 23, No. 24 passage respective coordinates value in the reference axis take plate profile instrument measuring roller transverse center point as the origin of coordinates, near transmission side direction in positive direction:

$X_{20}=\frac{w_{20}}{2}+\underset{k=15}{\overset{19}{\mathrm{\&Sigma;}}}{w}_k=286\mathrm{mm},X_{21}=\frac{w_{21}}{2}+\underset{k=15}{\overset{20}{\mathrm{\&Sigma;}}}{w}_k=390\mathrm{mm},$

$X_{23}=\frac{w_{23}}{2}+\underset{k=15}{\overset{22}{\mathrm{\&Sigma;}}}{w}_k=442\mathrm{mm},X_{24}=\frac{w_{24}}{2}+\underset{k=15}{\overset{23}{\mathrm{\&Sigma;}}}{w}_k=494\mathrm{mm},$

Then utilize parabolic interpolation to calculate the Shape signal offset of measuring passage for No. 22:

$\begin{array}{c}\left(\begin{array}{c}a\\ b\\ c\end{array}\right)={\left[\begin{array}{ccc}0& 0& 1\\ {(X_{23}-X_{20})}^2& (X_{23}-X_{20})& 1\\ {(X_{24}-X_{20})}^2& (X_{23}-X_{20})& 1\end{array}\right]}^{-1}\&times;\left(\begin{array}{c}{F}_{20}\\ F_{23}\\ F_{24}\end{array}\right)\\ =\left[\begin{array}{ccc}0& -0.0001& 0.0001\\ -0.0112& 0.0256& -0.0144\\ 1.0000& 0& 0\end{array}\right]\&times;\left(\begin{array}{c}-1.8969\\ -1.9129\\ -0.1172\end{array}\right)\\ =\left(\begin{array}{c}0.0001\\ -0.0190\\ -2.5293\end{array}\right)\end{array},$

F ₂₂＝a×(X ₂₂-X ₂₀) ²+b×(X ₂₂-X ₂₀)+c＝-2.9134I。

Fig. 5 has provided the plate shape distribution map obtaining after the inventive method compensation.From to Fig. 2 and Fig. 5 to recently, the plate shape offset of measuring passage for No. 21 and No. 22 that inefficacy measurement channel compensation method of the present invention obtains is respectively-3.1189 Hes--and 2.9134, and in Fig. 2 No. 21 and No. 22 measure passage be respectively-2.8780I of plate shape actual value and-2.7478I, between visible plate shape actual value and offset, there is relatively large deviation, in addition also very close by the known compensator section plate of contrast shape curve and the actual plate shape plots changes of Fig. 2 and Fig. 4, backoff algorithm has well restored original plate shape distribution situation.Take the absolute value of the difference of inefficacy passage actual plate shape value and offset as criterion, Fig. 6 has provided and has adopted respectively conventional method and the inventive method compensating error effect comparison diagram in this example, can find out that the inventive method can significantly reduce compensating error; Meanwhile, by the contrast of Fig. 2 and Fig. 4, Fig. 5, can find out that the plate shape distribution trend of the inventive method compensator section is similar with the distribution of actual plate shape, that is the actual plate shape distribution characteristics of passage is measured in reduction inefficacy preferably.

7. by the F calculating ₂₁and F ₂₂be sent to plat control system, for the control of cold-rolled strip steel shape closed loop feedback; Send host computer simultaneously to, for plate shape, show or provide reference for Artificial Control.

Above embodiment is only for calculating thought of the present invention and feature are described, its object is to make those skilled in the art can understand content of the present invention and implement according to this, and protection scope of the present invention is not limited to above-described embodiment.So the disclosed principle of all foundations, equivalent variations or the modification that mentality of designing is done, all within protection scope of the present invention.

Claims (7)

1. a plate profile instrument lost efficacy and measured the Shape signal compensation method of passage, it is characterized in that: collection cold-strip steel width, plate profile instrument are respectively measured the operation of rolling information of channel size, strip running deviation amount, thereby determine the effective plate profile instrument number of active lanes covering of cold-strip steel and it is carried out to serial number; According to losing efficacy, measure passage present position difference and select different compensation ways to lose efficacy and measure the compensation of passage Shape signal, compensation method was lost efficacy and was measured the adjacent measurement in the both sides interchannel plate shape regularity of distribution and the trend of passage by reasonable analysis, adopt introducing parabolic interpolation to substitute traditional linear interpolation method, the fidelity of plate shape compensating signal and the plate shape of cold-strip steel that can improve the measurement passage that lost efficacy are controlled quality;

This Shape signal compensation method comprises the following steps:

(1) collect cold-strip steel width B, unit is mm, each measurement channel width size of selected plate profile instrument, and unit is mm, and horizontal range d between cold-strip steel cross central line and plate profile instrument cross central line, unit is mm;

(2) determine the plate profile instrument measurement number of active lanes N effectively being covered by cold-strip steel, and by the fore side of milling train, to transmission side side's upstream sequence, described N plate profile instrument measured to passage and is numbered, be respectively No. 1 passage, No. 2 passage ..., N passage; Determine this N width dimensions w that measures passage simultaneously _i, i=1,2 ..., N, unit is mm, wherein take plate profile instrument measuring roller transverse center point as boundary, near the measurement number of active lanes of milling train fore side, is N ₁, near the measurement number of active lanes of milling train transmission side, be N ₂, and have N=N ₁+ N ₂;

(3) determine the sequence number i that the measurement passage losing efficacy occurs: if i=1 goes to step (4); If i=N, goes to step (5); If 1 < i < N, transposition step (6);

(4) read with No. 1 and measure immediate two the effective i.e. Shape signal value F of No. m measurement passage of passage that measure of passage _mshape signal value F with No. n measurement passage _n, and there is m<n, then calculate respectively No. 1, No. m and n passage corresponding coordinate figure in the reference axis take plate profile instrument measuring roller transverse center point as the origin of coordinates, near transmission side direction in positive direction:

$X_1=-(\frac{w_1}{2}+\underset{k=1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k),X_m=-(\frac{w_m}{2}+\underset{k=m+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k),X_n=-(\frac{w_n}{2}+\underset{k=n+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k),$

Then utilize linear interpolation method to calculate and go to step (9) after the Shape signal offset of No. 1 passage:

$F_1=\frac{F_n(X_m-X_1)-F_m(X_n-X_1)}{X_m-X_n};$

(5) read with No. N and measure immediate two the effective i.e. Shape signal value F of No. m measurement passage of passage that measure of passage _mshape signal value F with No. n measurement passage _n, and there is m<n, then calculate respectively No. m, No. n and N passage corresponding coordinate figure in the reference axis take plate profile instrument measuring roller transverse center point as the origin of coordinates, near transmission side direction in positive direction:

$X_m=\frac{w_m}{2}+\underset{k=N_1+1}{\overset{m-1}{\mathrm{\&Sigma;}}}{w}_k,X_n=\frac{w_n}{2}+\underset{k=N_1+1}{\overset{n-1}{\mathrm{\&Sigma;}}}{w}_k,X_N=\frac{w_{N-1}}{2}+\underset{k=N_1+1}{\overset{N-1}{\mathrm{\&Sigma;}}}{w}_k,$

Then utilize linear interpolation method to calculate and go to step (9) after the Shape signal offset of N passage:

$F_N=\frac{F_n(X_N-X_m)-F_m(X_N-X_n)}{X_n-X_m};$

(6) if 1 < i≤N ₁, transposition step (7); If N ₁< i < N, transposition step (8);

(7) sequence number is less than the number of effectively measuring passage in the measurement passage of i and classifies as following three kinds: the measurement passage that 1) sequence number is less than i all lost efficacy; 2) it is effective that sequence number is less than in the measurement passage of i and only has a passage effective, 3) sequence number is less than in the measurement passage of i two or more passages; According to sequence number, being less than the Shape signal of measuring passage that lost efficacy of classification under the number of effectively measuring passage in the measurement passage of i compensates;

(8) sequence number is greater than the number of effectively measuring passage in the measurement passage of i and classifies as following three kinds: the measurement passage that 1) sequence number is greater than i all lost efficacy; 2) it is effective that sequence number is greater than in the measurement passage of i and only has a passage effective, 3) sequence number is greater than in the measurement passage of i two or more passages; According to sequence number, being greater than the Shape signal of measuring passage that lost efficacy of classification under the number of effectively measuring passage in the measurement passage of i compensates;

(9) by the F calculating _ibe sent to plat control system, for the control of cold-rolled strip steel shape closed loop feedback; Send host computer simultaneously to, for plate shape, show or provide reference for Artificial Control;

Through above-mentioned steps, realize plate profile instrument was lost efficacy and measures the Shape signal compensation of passage.

2. Shape signal compensation method according to claim 1, it is characterized in that the sequence number described in step (7) is less than the number of effectively measuring passage in the measurement passage of i and belongs to classification 1) time, be that the measurement passage that sequence number is less than i all lost efficacy, read sequence number and be greater than and in i, approach the Shape signal value F that measure two of passage for No. i and effectively measure passages and measure for No. m passage most _mshape signal value F with No. n measurement passage _n, and there is m<n, then calculate respectively No. i, No. m and n passage corresponding coordinate figure in the reference axis take plate profile instrument measuring roller transverse center point as the origin of coordinates, near transmission side direction in positive direction:

If i<N ₁,

if i=N ₁,

if m < is N ₁, $X_m=-(\frac{w_m}{2}+\underset{k=m+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k);$ If m=N ₁, $X_m=-\frac{w_m}{2};$ If m=N ₁+ 1, $X_m=\frac{w_m}{2};$ If m > is N ₁+ 1, $X_m=\frac{w_m}{2}+\underset{k=N_1+1}{\overset{m-1}{\mathrm{\&Sigma;}}}{w}_k;$ If n < is N ₁, $X_n=-(\frac{w_n}{2}+\underset{k=n+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k);$ If n=N ₁, $X_n=-\frac{w_n}{2};$ If n=N ₁+ 1, $X_n=\frac{w_n}{2};$ If n > is N ₁+ 1, $X_n=\frac{w_n}{2}+\underset{k=N_1+1}{\overset{n-1}{\mathrm{\&Sigma;}}}{w}_k;$

Then utilize linear interpolation method to calculate and go to step (9) after the Shape signal offset of i passage:

$F_i=\frac{F_n(X_m-X_i)-F_m(X_m-X_i)}{X_m-X_n}.$

3. Shape signal compensation method according to claim 1, it is characterized in that the sequence number described in step (7) is less than the number of effectively measuring passage in the measurement passage of i and belongs to classification 2) time, be that sequence number is less than in the measurement passage of i and only has a passage effective, this channel position is j and has 1≤j < i, reads the Shape signal F of j passage _j, and sequence number is greater than two effective i.e. Shape signal F of No. m measurement passage of passages that measure that approach No. i measurement passage in i most _mshape signal F with No. n measurement passage _n, and have m<n; Compare in two kinds of situation again F _j, F _mand F _nbetween position relationship, specifically:

If a) (F _n-F _m) × (F _j-F _m)≤0, calculate respectively No. j, No. i and m passage corresponding coordinate figure on take plate profile instrument measuring roller transverse center point as the origin of coordinates, near the reference axis of transmission side direction in positive direction:

$X_j=-(\frac{w_j}{2}+\underset{k=j+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k),$ If i<N ₁, $X_i=-(\frac{w_i}{2}+\underset{k=i+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k);$ If i=N ₁, $X_i=-\frac{w_i}{2};$ If m < is N ₁,

if n=N ₁,

if m=N ₁+ 1, $X_m=\frac{w_m}{2};$ If m > is N ₁+ 1, $X_m=\frac{w_m}{2}+\underset{k=N_1+1}{\overset{m-1}{\mathrm{\&Sigma;}}}{w}_k,$

Then utilize linear interpolation method to calculate and go to step (9) after the Shape signal offset of i passage:

$F_i=\frac{F_m(X_i-X_j)-F_j(X_i-X_m)}{X_m-X_j};$

If b) (F _n-F _m) × (F _j-F _m) >0, calculate respectively No. j, No. i, No. m, n passage corresponding coordinate figure in the reference axis take plate profile instrument measuring roller transverse center point as the origin of coordinates, near transmission side direction in positive direction:

$X_j=-(\frac{w_j}{2}+\underset{k=j+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k),$ If i<N ₁, $X_i=-(\frac{w_i}{2}+\underset{k=i+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k);$ If i=N ₁, $X_i=-\frac{w_i}{2};$ If m < is N ₁, if n=N ₁, if m=N ₁+ 1, $X_m=\frac{w_m}{2};$ If m > is N ₁+ 1, $X_m=\frac{w_m}{2}+\underset{k=N_1+1}{\overset{m-1}{\mathrm{\&Sigma;}}}{w}_k;$ If n < is N ₁, $X_n=-(\frac{w_n}{2}+\underset{k=n+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k);$ If n=N ₁, $X_n=-\frac{w_n}{2};$ If n=N ₁+ 1, $X_n=\frac{w_n}{2};$ If n > is N ₁+ 1, $X_n=\frac{w_n}{2}+\underset{k=N_1+1}{\overset{n-1}{\mathrm{\&Sigma;}}}{w}_k,$

Then utilize parabolic interpolation to calculate and go to step (9) after the Shape signal offset of i passage:

$\left(\begin{array}{c}a\\ b\\ c\end{array}\right)={\left[\begin{array}{ccc}0& 0& 1\\ {(X_m-X_j)}^2& (X_m-X_j)& 1\\ {(X_n-X_j)}^2& (X_n-X_j)& 1\end{array}\right]}^{-1}\&times;\left(\begin{array}{c}{F}_j\\ F_m\\ F_n\end{array}\right),$

F _i＝a×(X _i-X _j) ²+b×(X _i-X _j)+c。

4. Shape signal compensation method according to claim 1, it is characterized in that the sequence number described in step (7) is less than the number of effectively measuring passage in the measurement passage of i and belongs to classification 3) time, it is effective to be that sequence number is less than in the measurement passage of i two or more passages, reads respectively sequence number and is less than and in i, approaches the Shape signal F that measure two of passage for No. i and effectively measure passages and measure for No. h passage most _hshape signal F with No. j measurement passage _j, and have h<j, and sequence number is greater than two effective i.e. Shape signal F of No. m measurement passage of passages that measure that approach No. i measurement passage in i most _mshape signal F with No. n measurement passage _n, and have m<n;

Compare in two kinds of situation again F _h, F _j, F _mand F _nbetween position relationship, specifically:

If a) (F _n-F _m) × (F _j-F _h)>=0, calculate respectively No. j, No. i and m passage corresponding coordinate figure on take plate profile instrument measuring roller transverse center point as the origin of coordinates, near the reference axis of transmission side direction in positive direction:

$X_j=-(\frac{w_j}{2}+\underset{k=j+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k),$ If i<N ₁, $X_i=-(\frac{w_i}{2}+\underset{k=i+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k),$ If i=N ₁, $X_i=-\frac{w_i}{2},$ If m < is N ₁,

if n=N ₁,

if m=N ₁+ 1, $X_m=\frac{w_m}{2},$ If m > is N ₁+ 1, $X_m=\frac{w_m}{2}+\underset{k=N_1+1}{\overset{m-1}{\mathrm{\&Sigma;}}}{w}_k,$

Then utilize linear interpolation method to calculate and go to step (9) after the Shape signal offset of i passage:

$F_i=\frac{F_m(X_i-X_j)-F_j(X_i-X_m)}{X_m-X_j};$

If b) (F _n-F _m) × (F _j-F _h) <0, calculate respectively and measure passage respective coordinates value in the reference axis take plate profile instrument measuring roller transverse center point as the origin of coordinates, near transmission side direction in positive direction for No. h, No. j, No. i, No. m:

$X_h=-(\frac{w_h}{2}+\underset{k=h+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k),$ $X_j=-(\frac{w_j}{2}+\underset{k=j+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k),$ If i<N ₁, $X_i=-(\frac{w_i}{2}+\underset{k=i+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k);$ If i=N ₁, $X_i=-\frac{w_i}{2};$ If m < is N ₁, $X_m=-(\frac{w_m}{2}+\underset{k=m+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k);$ If m=N ₁, $X_m=-\frac{w_m}{2};$ If m=N ₁+ 1,

if m > is N ₁+ 1, then utilize parabolic interpolation to calculate and go to step (9) after the Shape signal offset of i passage:

$\left(\begin{array}{c}a\\ b\\ c\end{array}\right)={\left[\begin{array}{ccc}0& 0& 1\\ {(X_j-X_h)}^2& (X_j-X_h)& 1\\ {(X_m-X_h)}^2& (X_m-X_h)& 1\end{array}\right]}^{-1}\&times;\left(\begin{array}{c}{F}_h\\ F_j\\ F_m\end{array}\right),$

F _i＝a×(X _i-X _h) ²+b×(X _i-X _h)+c。

5. Shape signal compensation method according to claim 1, it is characterized in that the sequence number described in step (8) is greater than the number of effectively measuring passage in the measurement passage of i and belongs to classification 1) time, be that the measurement passage that sequence number is greater than i all lost efficacy, read sequence number and be less than and in i, approach the Shape signal F that measure two of passage for No. i and effectively measure passages and measure for No. h passage most _hshape signal F with No. j measurement passage _j, and there is h<j, then calculate respectively No. i, No. h and j passage corresponding coordinate figure in the reference axis take plate profile instrument measuring roller transverse center point as the origin of coordinates, near transmission side direction in positive direction:

If i=N ₁+ 1,

if i>N ₁+ 1,

if h < is N ₁, $X_h=-(\frac{w_h}{2}+\underset{k=h+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k),$ If h=N ₁, $X_h=-\frac{w_h}{2},$ If h=N ₁+ 1, $X_h=\frac{w_h}{2},$ If h > is N ₁+ 1, $X_h=\frac{w_h}{2}+\underset{k=N_1+1}{\overset{h-1}{\mathrm{\&Sigma;}}}{w}_k,$ If j < is N ₁, $X_j=-(\frac{w_j}{2}+\underset{k=j+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k),$ If j=N ₁, $X_j=-\frac{w_j}{2},$ If j=N ₁+ 1, $X_j=\frac{w_j}{2},$ If j > is N ₁+ 1, $X_j=\frac{w_j}{2}+\underset{k=N_1+1}{\overset{j-1}{\mathrm{\&Sigma;}}}{w}_k;$

Then utilize linear interpolation method to calculate and go to step (9) after the Shape signal offset of i passage:

$F_i=\frac{F_h(X_i-X_j)-F_j(X_i-X_h)}{X_h-X_j}.$

6. Shape signal compensation method according to claim 1, it is characterized in that the sequence number described in step (8) is greater than the number of effectively measuring passage in the measurement passage of i and belongs to classification 2) time, sequence number is greater than in the measurement passage of i only has a passage effective, this channel position is and has i < j≤N, reads the Shape signal F of j passage _j, sequence number is less than to approach most in i and measures two of passage for No. i and effectively measure the Shape signal F that passages are measured passage for No. m and measured passage for No. n _mand F _n, and have m<n, then compare F in two kinds of situation _j, F _mand F _nbetween position relationship:

If a) (F _m-F _n) × (F _j-F _n)≤0, calculate respectively No. j, No. i and n passage corresponding coordinate figure on take plate profile instrument measuring roller transverse center point as the origin of coordinates, near the reference axis of transmission side direction in positive direction: $X_j=\frac{w_j}{2}+\underset{k=N_1+1}{\overset{j-1}{\mathrm{\&Sigma;}}}{w}_k,$ If i=N ₁+ 1 $X_i=\frac{w_i}{2},$ If i>N ₁+ 1 $X_i=\frac{w_i}{2}+\underset{k=N_1+1}{\overset{i-1}{\mathrm{\&Sigma;}}}{w}_k,$ If n < is N ₁? $X_n=-(\frac{w_n}{2}+\underset{k=n+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k),$ If n=N ₁? $X_n=-\frac{w_n}{2},$ If n=N ₁+ 1 $X_n=\frac{w_n}{2},$ If n > is N ₁+ 1

recycling linear interpolation method is calculated and is gone to step (9) after i channel plate shape signal compensation value:

$F_i=\frac{F_n(X_j-X_i)-F_j(X_n-X_i)}{X_j-X_n};$

If b) (F _m-F _n) × (F _j-F _n) >0, calculate respectively No. j, No. i, No. n, m passage corresponding coordinate figure in the reference axis take plate profile instrument measuring roller transverse center point as the origin of coordinates, near transmission side direction in positive direction: $X_j=\frac{w_j}{2}+\underset{k=N_1+1}{\overset{j-1}{\mathrm{\&Sigma;}}}{w}_k,$ If i=N ₁+ 1 $X_i=\frac{w_i}{2},$ If i>N ₁+ 1 $X_i=\frac{w_i}{2}+\underset{k=N_1+1}{\overset{i-1}{\mathrm{\&Sigma;}}}{w}_k,$ If n < is N ₁? $X_n=-(\frac{w_n}{2}+\underset{k=n+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k),$ If n=N ₁? $X_n=-\frac{w_n}{2},$ If n=N ₁+ 1 $X_n=\frac{w_n}{2},$ If n > is N ₁+ 1 $X_n=\frac{w_n}{2}+\underset{k=N_1+1}{\overset{n-1}{\mathrm{\&Sigma;}}}{w}_k,$ If m < is N ₁? $X_m=-(\frac{w_m}{2}+\underset{k=m+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k),$ If n=N ₁, $X_m=-\frac{w_m}{2},$ If m=N ₁+ 1 $X_m=\frac{w_m}{2},$ If m > is N ₁+ 1, $X_m=\frac{w_m}{2}+\underset{k=N_1+1}{\overset{m-1}{\mathrm{\&Sigma;}}}{w}_k;$

Recycling parabolic interpolation calculates and goes to step (9) after the Shape signal offset of i passage:

$\left(\begin{array}{c}a\\ b\\ c\end{array}\right)={\left[\begin{array}{ccc}0& 0& 1\\ {(X_n-X_j)}^2& (X_n-X_j)& 1\\ {(X_m-X_j)}^2& (X_m-X_j)& 1\end{array}\right]}^{-1}\&times;\left(\begin{array}{c}{F}_j\\ F_n\\ F_m\end{array}\right),$

F _i＝a×(X _i-X _j) ²+b×(X _i-X _j)+c。

7. Shape signal compensation method according to claim 1, it is characterized in that: the sequence number described in step (8) is greater than the number of effectively measuring passage in the measurement passage of i and belongs to classification 3) time, it is effective that sequence number is greater than in the measurement passage of i two or more passages, reads sequence number and be less than to approach most in i and measure two of passage for No. i and effectively measure the Shape signal F that passages are measured passage for No. h and measured passage for No. j _h, F _j, and have h<j, and read sequence number and be greater than to approach most in i and measure two of passage for No. i and effectively measure the Shape signal value F that passages are measured passage for No. m and measured passage for No. n _m, F _n, and have m<n, then compare F in two kinds of situation _h, F _j, F _mand F _nbetween position relationship:

If a) (F _n-F _m) × (F _j-F _h)>=0, calculate respectively No. j, No. i and m passage corresponding coordinate figure on take plate profile instrument measuring roller transverse center point as the origin of coordinates, near the reference axis of transmission side direction in positive direction:

If j < is N ₁? $X_j=-(\frac{w_j}{2}+\underset{k=j+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k),$ If j=N ₁? $X_j=-\frac{w_j}{2},$ If j=N ₁+ 1 $X_j=\frac{w_j}{2},$ If j > is N ₁+ 1 $X_j=\frac{w_j}{2}+\underset{k=N_1+1}{\overset{j-1}{\mathrm{\&Sigma;}}}{w}_k,$ If i=N ₁+ 1 $X_i=\frac{w_i}{2},$ If i>N ₁+ 1 $X_i=\frac{w_i}{2}+\underset{k=N_1+1}{\overset{i-1}{\mathrm{\&Sigma;}}}{w}_k,$ $X_m=\frac{w_m}{2}+\underset{k=N_1+1}{\overset{m-1}{\mathrm{\&Sigma;}}}{w}_k,$

Then utilize linear interpolation method to calculate and go to step (9) after i channel plate shape signal compensation value:

$F_i=\frac{F_m(X_i-X_j)-F_j(X_i-X_m)}{X_m-X_j};$

If b) (F _n-F _m) × (F _j-F _h) <0, calculate respectively No. j, No. i, No. m, n passage respective coordinates value in the reference axis take plate profile instrument measuring roller transverse center point as the origin of coordinates, near transmission side direction in positive direction:

If j < is N ₁? $X_j=-(\frac{w_j}{2}+\underset{k=j+1}{\overset{N_1}{\mathrm{\&Sigma;}}}{w}_k),$ If j=N ₁? $X_j=-\frac{w_j}{2},$ If j=N ₁+ 1 $X_j=\frac{w_j}{2},$ If j > is N ₁+ 1 $X_j=\frac{w_j}{2}+\underset{k=N_1+1}{\overset{j-1}{\mathrm{\&Sigma;}}}{w}_k,$ If i=N ₁+ 1 $X_i=\frac{w_i}{2},$ If i>N ₁+ 1 $X_i=\frac{w_i}{2}+\underset{k=N_1+1}{\overset{i-1}{\mathrm{\&Sigma;}}}{w}_k,$ $X_m=\frac{w_m}{2}+\underset{k=N_1+1}{\overset{m-1}{\mathrm{\&Sigma;}}}{w}_k,$ $X_n=\frac{w_n}{2}+\underset{k=N_1+1}{\overset{n-1}{\mathrm{\&Sigma;}}}{w}_k,$

Then utilize parabolic interpolation to calculate and go to step (9) after the Shape signal offset of i passage:

$\left(\begin{array}{c}a\\ b\\ c\end{array}\right)={\left[\begin{array}{ccc}0& 0& 1\\ {(X_m-X_j)}^2& (X_m-X_j)& 1\\ {(X_n-X_j)}^2& (X_n-X_j)& 1\end{array}\right]}^{-1}\&times;\left(\begin{array}{c}{F}_j\\ F_m\\ F_n\end{array}\right),$

F _i＝a×(X _i-X _j) ²+b×(X _i-X _j)+c。

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