CN102527742A - 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 plate shape method for compensating signal of passage

Technical field

The present invention relates to the cold-strip steel field, relate in particular to the plate shape method for compensating signal 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 to increase day by day to the strip shape quality of cold-rolled steel strip products, particularly for industries such as high-grade automobile and high-end IT product manufacturings.So the cold-rolled strip steel shape quality had become one of the key technical indexes of examination belt steel product already.From the control technology angle, the cold-rolled strip steel shape control technology is that the high complexity of coupling is technological mutually between a multi-subject knowledge such as integrating materials, rolling mill practice, equipment, hydraulic drive, control and computer, the control systematic parameter.Domestic and international each big steel integrated complex and research institution have dropped into great amount of manpower and material resources and financial resources are researched and developed method and the technology that improves plate shape control accuracy, in the hope of strengthening the core technology and the market competitiveness of iron and steel enterprise.

In order to roll out high-quality cold-rolled steel strip products, extensively adopted advanced plate shape close-loop feedback control system in the cold rolling in modern times enterprise production process.The most key part is exactly the plate shape measurement device in plate shape close-loop feedback control system, and the stability of measurement mechanism and precision of signal directly have influence on the effect of cold-rolled strip steel shape control.The plate shape measurement device form is varied, and usually whether the technical staff contacts with the band steel according to it it is divided into contact plate profile instrument and contactless plate profile instrument.The contact plate profile instrument is compared outstanding advantage such as have the certainty of measurement height, measuring-signal is reliable, the signal antijamming capability is strong 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 the belt plate shape on-line measurement.

Because cold-strip steel contacts with the plate profile instrument roll body, there are tangent direction friction power and radial pressure between band steel and the measurement roll body, along with the sensor of the several measurement passages of the increase of service time may lose efficacy and can't continue to provide reliable plate shape measurement signal.When measuring passage generation inefficacy, it is compensated the work that becomes a necessity through the appropriate design method for compensating signal.At present, the technical staff utilizes simple linear interpolation method to carry out the plate shape signal compensation that passage is measured in the plate profile instrument inefficacy usually.Its technology path carries out linear interpolation calculating for utilizing apart from break down immediate two the plate shape signal values of effectively measuring passage of measurement passage 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 remedy owing to measure the consequence that channel failure causes to a certain extent, has guaranteed that plate shape control quality is unlikely to become very poor because measure channel failure.But; The compensation precision of above-mentioned conventional method is not high usually; And the corresponding belt plate shape plate shape signal distributions distribution trend actual with it after compensation of measurement passage that lost efficacy is also not the same, so the technical problem that the plate profile instrument inefficacy channel plate shape signal compensation error that usually can run into is big, distorted signals causes serious flatness defect.If will exist the plate shape signal of the problems referred to above to offer plate shape feedback control system, then cause system to produce unnecessary control output easily, influenced the raising of strip shape quality, can cause serious accidents such as operation of rolling generation broken belt under the extreme case.

In sum; Research and development can effectively compensate the compensation method of plate profile instrument inefficacy channel plate shape signal; With the fidelity that reduces plate shape compensating error, improves plate profile instrument exhaustion phase belt plate shape signal, be a key link that further improves current cold-rolled strip steel shape control level.

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 plate shape method for compensating signal of passage; This method can effectively solve the technical problem that plate profile instrument inefficacy channel plate shape signal compensation error is big, distorted signals causes serious flatness defect that runs into through regular meeting when using traditional interpolation compensation method; Can improve the plate shape signal compensation quality of plate profile instrument inefficacy passage, for the plate shape control quality that improves cold-strip steel improves 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 plate shape method for compensating signal of passage; Specifically: collection cold-strip steel width, plate profile instrument are respectively measured operation of rolling information such as channel size, strip running deviation amount, thereby determine the effective plate profile instrument number of active lanes that covers of cold-strip steel and it is carried out serial number; The foundation inefficacy is measured passage present position difference and is selected different compensation ways to lose efficacy and measure the compensation of channel plate shape signal; Compensation method was lost efficacy through reasonable analysis and was measured the adjacent measurement in the both sides interchannel plate shape regularity of distribution and the trend of passage; 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 is for the plate shape control quality that improves cold-strip steel improves strong guarantee.

Plate profile instrument provided by the invention lost efficacy and measured the plate shape method for compensating signal of passage, and its step comprises:

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

(2) confirm that the plate profile instrument that is effectively covered by cold-strip steel measures number of active lanes N, and said N plate profile instrument measurement passage numbered by the fore side of milling train order on the transmission side direction, be respectively No. 1 passage, No. 2 passage ..., the N passage.Definite simultaneously this N measurement width of channel size wi (i=1,2 ..., N; Unit is mm).Being the boundary with plate profile instrument measuring roller transverse center point wherein, is N1 near the measurement number of active lanes of milling train fore side, is N2 near the measurement number of active lanes of milling train transmission side, and N=N is arranged ₁+ N ₂

(3) confirm the measurement serial number of channels i that generation was lost efficacy.If i=1 then goes to step (4); If i=N then goes to step (5); If 1＜i＜N, transposition step (6).

(4) read and measure immediate two of passage for No. 1 and effectively measure passages and (be expressed as m number here and measure passage and measure passage n number, and the plate shape signal value F of m＜n) is arranged _mAnd F _n, calculate No. 1, m number and n passage respectively and be the origin of coordinates with plate profile instrument measuring roller transverse center point, be coordinate figure corresponding on the reference axis on the positive direction near the transmission side direction:

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

Utilize linear interpolation method to calculate then and go to step (9) after the plate shape signal compensation value 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 and measure immediate two of passage for N number and effectively measure passages and (be expressed as m number here and measure passage and measure passage n number, and the plate shape signal value F of m＜n) is arranged _mAnd F _n, calculate m number, n number and N passage respectively and be the origin of coordinates with plate profile instrument measuring roller transverse center point, be coordinate figure corresponding on the reference axis on the positive direction near the transmission side direction:

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

Utilize linear interpolation method to calculate then and go to step (9) after the plate shape signal compensation value 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 sequence number all lost efficacy less than the measurement passage of i, (being expressed as m number here measures passage and measures passage for n number, and the plate shape signal value F of m＜n) is arranged greater than effectively measuring passages near two that measure passage for i number among the i then to read sequence number _mAnd F _n, calculate i number, m number and n passage respectively and be the origin of coordinates with plate profile instrument measuring roller transverse center point, be coordinate figure corresponding on the reference axis on the positive direction near the transmission side direction:

If i＜N ₁, then

If i=N ₁, then

If m＜N ₁, then

If m=N ₁, then

If m=N ₁+ 1, then

If m＞N ₁+ 1, then

If n＜N ₁, then

If n=N ₁, then

If n=N ₁+ 1, then

If n＞N ₁+ 1, then

Utilize linear interpolation method to calculate then and go to step (9) after the plate shape signal compensation value of i passage:

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

If have only a passage effective in the measurement passage of sequence number less than i; This channel position for and 1≤j＜i arranged; (being expressed as m number here measures passage and measures passage for n number, and the plate shape signal value F of m＜n) is arranged greater than effectively measuring passages near two that measure passage for i number among the i then to read j passage, sequence number _j, F _mAnd F _n, divide relatively F of two kinds of situation _j, F _mAnd F _nBetween position relation, specific as follows:

A) if (F _n-F _m) * (F _j-F _m)≤0, then calculate j number, i number and m passage respectively and be the origin of coordinates with plate profile instrument measuring roller transverse center point, be coordinate figure corresponding on the reference axis on the positive direction near the transmission side direction:

If i＜N ₁, then

If i=N ₁, then

If m＜N ₁, then

If n=N ₁, then

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

Utilize linear interpolation method to calculate then and go to step (9) after the plate shape signal compensation value of i passage:

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

B) if (F _n-F _m) * (F _j-F _m)＞0, then calculate j number, i number, m number, n passage respectively and be the origin of coordinates with plate profile instrument measuring roller transverse center point, be coordinate figure corresponding on the reference axis on the positive direction near the transmission side direction:

If i＜N ₁, then If i=N ₁, then

If m＜N ₁, then

If n=N ₁, then

If m=N ₁+ 1, then

If m＞N ₁+ 1, then If n＜N ₁, then

If n=N ₁, then

If n=N ₁+ 1, then

If n＞N ₁+ 1, then

Utilize parabolic interpolation to calculate then and go to step (9) after the plate shape signal compensation value 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 sequence number is effective less than two or more passages in the measurement passage of i; (being expressed as h number here measures passage and measures passage j number less than effectively measuring passages near two that measure passage for i number among the i then to read sequence number respectively; And (being expressed as m number here measures passage and measures passage for n number, and the plate shape signal value F of m＜n) is arranged greater than effectively measuring passages near two that measure passage for i number among the i for plate shape signal and sequence number that h＜j) arranged _h, F _j, F _mAnd F _n, divide relatively F of two kinds of situation _h, F _j, F _mAnd F _nBetween position relation, specific as follows:

A) if (F _n-F _m) * (F _i-F _h)>=0, then calculate j number, i number and m passage respectively and be the origin of coordinates with plate profile instrument measuring roller transverse center point, be coordinate figure corresponding on the reference axis on the positive direction near the transmission side direction:

If i＜N ₁, then If i=N ₁, then If m＜N ₁, then

If n=N ₁, then If m=N ₁+ 1, then

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

Utilize linear interpolation method to calculate then and go to step (9) after the plate shape signal compensation value of i passage:

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

B) if (F _n-F _m) * (F _j-F _h)＜0, then calculate h number, j number, i number, m respectively and number measure passage and be the origin of coordinates with plate profile instrument measuring roller transverse center point, be respective coordinates value on the reference axis on the positive direction near the transmission side direction:

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

If m＜N ₁, then If m=N ₁, then

If m=N ₁+ 1, then

If m＞N ₁+ 1, then

Utilize parabolic interpolation to calculate then and go to step (9) after the plate shape signal compensation value 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 sequence number all lost efficacy greater than the measurement passage of i, (being expressed as h number here measures passage and measures passage for j number, and the plate shape signal F of h＜j) is arranged less than effectively measuring passages near two that measure passage for i number among the i then to read sequence number _hAnd F _j, calculate i number, h number and j passage respectively and be the origin of coordinates with plate profile instrument measuring roller transverse center point, be coordinate figure corresponding on the reference axis on the positive direction near the transmission side direction:

If i=N ₁+ 1, then If i＞N ₁+ 1, then

If h＜N ₁, then If h=N ₁, then

If h=N ₁+ 1, then

If h＞N ₁+ 1, then If j＜N ₁, then

If j=N ₁, then If j=N ₁+ 1, then

If j＞N ₁+ 1, then

Utilize linear interpolation method to calculate then and go to step (9) after the plate shape signal compensation value of i passage:

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

If have only a passage effective in the measurement passage of sequence number greater than i; This channel position for and i＜j≤N arranged; (being expressed as m number here measures passage and measures passage for n number, and the plate shape signal F of m＜n) is arranged less than effectively measuring passages near two that measure passage for i number among the i then to read j passage, sequence number _j, F _mAnd F _n, divide relatively F of two kinds of situation _j, F _mAnd F _nBetween position relation, specific as follows:

A) if (F _m-F _n) * (F _j-F _n)≤0, then calculate j number, i number and n passage respectively and be the origin of coordinates with plate profile instrument measuring roller transverse center point, be coordinate figure corresponding on the reference axis on the positive direction near the transmission side direction:

If i=N ₁+ 1, then

If i＞N ₁+ 1, then

If n＜N ₁, then

If n=N ₁, then

If n=N ₁+ 1, then

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

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

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

B) if (F _m-F _n) * (F _j-F _n)＞0, then calculate j number, i number, n number, m passage respectively and be the origin of coordinates with plate profile instrument measuring roller transverse center point, be coordinate figure corresponding on the reference axis on the positive direction near the transmission side direction:

If i=N ₁+ 1, then

If i＞N ₁+ 1, then

If n＜N ₁, then

If n=N ₁, then

If n=N ₁+ 1, then

If n＞N ₁+ 1, then If m＜N ₁, then

If n=N ₁, then

If m=N ₁+ 1, then

If m＞N ₁+ 1, then

Utilize parabolic interpolation to calculate then and go to step (9) after the plate shape signal compensation value 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 sequence number is effective greater than two or more passages in the measurement passage of i; (being expressed as h number here measures passage and measures passage j number less than effectively measuring passages near two that measure passage for i number among the i then to read sequence number respectively; And (being expressed as m number here measures passage and measures passage for n number, and the plate shape signal value F of m＜n) is arranged greater than effectively measuring passages near two that measure passage for i number among the i for plate shape signal and sequence number that h＜j) arranged _h, F _j, F _mAnd F _n, divide relatively F of two kinds of situation _h, F _j, F _mAnd F _nBetween position relation:

A) if (F _n-F _m) * (F _j-F _h)>=0, then calculate j number, i number and m passage respectively and be the origin of coordinates with plate profile instrument measuring roller transverse center point, be coordinate figure corresponding on the reference axis on the positive direction near the transmission side direction:

If j＜N ₁, then

If j=N ₁, then

If j=N ₁+ 1, then

If j＞N ₁+ 1, then

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

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

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

B) if (F _n-F _m) * (F _j-F _h)＜0, then calculate j number, i number, m number, n passage respectively and be the origin of coordinates with plate profile instrument measuring roller transverse center point, be respective coordinates value on the reference axis on the positive direction near the transmission side direction:

If j＜N ₁, then

If j=N ₁, then

If j=N ₁+ 1, then

If j＞N ₁+ 1, then

If i=N ₁+ 1, then

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

Utilize parabolic interpolation to calculate then and go to step (9) after the plate shape signal compensation value 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) with the F that calculates _iBe sent to plat control system, be used for the cold-rolled strip steel shape close-loop feedback control; Send host computer simultaneously to, be used for that plate shape shows or reference be provided for Artificial Control.

Plate profile instrument provided by the invention lost efficacy and measured the plate shape method for compensating signal 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 the measurement channel position was confirmed in case lost efficacy; Employed inverse matrix can be confirmed and all remains unchanged in the cycle in subsequent control in the said parabolic interpolation, and that whole plate shape method for compensating signal is realized is simple, reaction speed is fast, satisfies the real-time requirement when header board shape automatic control system fully.

In a word; Effectively solve the technical problem that plate profile instrument inefficacy channel plate shape signal compensation error is big, distorted signals causes serious flatness defect that runs into through regular meeting when using traditional interpolation compensation method; Can significantly improve the plate shape signal compensation quality of plate profile instrument inefficacy passage, for the plate shape control quality that improves cold-strip steel improves strong guarantee.

Description of drawings

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

The plate shape distribution map of Fig. 2 for measuring by the plate profile instrument of complete operate as normal in this instance.

Fig. 3 is the plate shape distribution map when channel failure is measured in No. 21 and No. 22 in this instance.

Fig. 4 compensates the resulting plate shape distribution map in back for adopting traditional interpolation method.

Fig. 5 compensates the resulting plate shape distribution map in back for adopting the inventive method.

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 plate shape method for compensating signal of passage; As shown in Figure 1; The concrete workflow of this inventive method is: collection cold-strip steel width, plate profile instrument are respectively measured operation of rolling information such as channel size, strip running deviation amount, thereby determine the effective plate profile instrument number of active lanes that covers of cold-strip steel and it is carried out serial number; The foundation inefficacy is measured passage present position difference and is selected different compensation ways to lose efficacy and measure the compensation of channel plate shape signal; Compensation method was lost efficacy through reasonable analysis and was measured the adjacent measurement in the both sides interchannel plate shape regularity of distribution and the trend of passage; 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 is for the plate shape control quality that improves cold-strip steel improves strong guarantee.

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

The plate shape method for compensating signal 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 multimachine frame tandem mills.Below be example with a single chassis six-high cluster mill, six-high cluster mill can comprise common plate, high-strength steel, part stainless steel and silicon steel etc. by rolling product.What present embodiment was rolling is middle high grade silicon steel, and type is the UCM milling train, and plate shape control device comprises roller declination, the positive and negative roller of working roll, the positive roller of intermediate calender rolls, intermediate roll shifting and emulsion section cooling etc.Wherein intermediate roll shifting is to preset according to strip width, and the adjustment principle is that intermediate calender rolls body of roll edge is alignd with strip edge portion, also can considered to add a correction by operation side, and it is constant to be transferred to a back holding position; The emulsion section cooling has bigger characteristic time lag.Thereby the plate shape control device of online adjusting mainly contains three kinds of roller declinations, the positive and negative roller of working roll, the positive roller of intermediate calender rolls.The 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 roller system pressure: 28MPa, press down system pressure: 28MPa.

Plate shape measurement device (being generally the contact plate profile instrument) adopts ABB AB's plate shape roller of Sweden; This plate shape roller roller footpath 313mm; Form by the single solid steel axle; Broad ways is every to be divided into a measured zone at a distance from 52mm or 26mm, around measuring roller, is uniform-distribution with four grooves in each measured zone vertically to place magnetoelasticity power sensor, and the outside of sensor is wrapped up by steel loop.Product specification in this instance (thickness * width) is: 20 measurement section width are 52mm in the middle of the 0.80mm * 1250mm, plate profile instrument, and 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 plate shape signal compensation of measuring passage of present embodiment is:

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

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

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

Thereby by the effective plate profile instrument measurement number of active lanes N=N that covers of cold-strip steel ₁+ N ₂=28.By the fore side of milling train order on the transmission side direction said 28 plate profile instruments are measured passage and number, be respectively No. 1 passage, No. 2 passage ..., No. 28 passage, confirm these 28 simultaneously and measure the width of channel sizes:

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

3. owing to measure the contact friction between passage and the belt steel surface in the production process, make plate profile instrument in use for some time certain or certain several measurement passage can be damaged and lose efficacy, need compensate processing this moment to inefficacy channel plate shape signal.In order to verify the validity of compensation method of the present invention, be example with the plate shape signal of being gathered by the good ABB plate profile instrument of working condition in a certain control cycle in this instance, 28 plate shape signals of measuring passage are as shown in Figure 2.Here the measurement passage that hypothesis generation was lost efficacy is respectively No. 21 and No. 22 and measures passage, and the plate shape signal value of measuring passage at this moment for No. 21 and No. 22 is zero, and effectively plate shape signal is as shown in Figure 3.If adopt this moment traditional linear interpolation method to carry out measuring for No. 21 and No. 22 the plate shape signal compensation of passage, can obtain the back plate shape distribution map that compensates as shown in Figure 4.From to Fig. 2 and Fig. 4 to recently seeing; No. 21 of obtaining of traditional linear interpolation method and the plate shape offset of measuring passage for No. 22 be respectively-2.3238I and-2.1183I; And the plate shape actual value that passage is measured in No. 21 and No. 22 among Fig. 2 is respectively-2.8780I and-2.7478I; It is thus clear that exist than large deviation between plate shape actual value and the offset, can know that through the contrast of Fig. 2 and Fig. 4 compensator section plate shape curve and actual plate shape plots changes differ also bigger in addition.Below we adopt compensation method of the present invention to carry out the plate shape signal compensation that passage is measured in No. 21 and No. 22 because these two measured serial number of channels and all satisfy decision condition 1＜i＜28, so computational process goes to the step 6 among Fig. 1.

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

5. at first carry out compensating for No. 21 plate shape of measuring passage of losing efficacy:

Totally six measurement passages are effective greater than there being No. 23 to No. 28 in 21 the measurement passage for sequence number at this moment, then read the plate 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, F simultaneously ₁₉, F ₂₀, F ₂₃And F ₂₄Between position relation be: (F ₂₄-F ₂₃) * (F ₂₀-F ₁₉)＜0, then calculate No. 20, No. 21, No. 23, No. 24 passage respectively and be the origin of coordinates with plate profile instrument measuring roller transverse center point, be respective coordinates value on the reference axis on the positive direction near the transmission side direction:

$X_{20}=\frac{w_{20}}{2}+\underset{k=15}{\overset{19}{\mathrm{\&Sigma;}}}{w}_k=286\mathrm{mm},$ $X_{21}=\frac{{\mathrm{<figure-callout\; id="21"\; label="w"\; filenames="HDA0000131251040000041.png"\; state="\{\{state\}\}">w</figure-callout>}}_{21}}{2}+\underset{k=15}{\overset{20}{\mathrm{\&Sigma;}}}{w}_k=338\mathrm{mm},$

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

Utilize parabolic interpolation to calculate the plate shape signal compensation value of measuring passage for No. 21 then:

$\left(\begin{array}{c}a\\ b\\ c\end{array}\right){=\left[\begin{array}{ccc}0& 0& 1\\ {(X_{23}-X_{20})}^2& (X_{23}-X_{20})& 1\\ {(X_{24}-X_{20})}^2& (X_{23}-X_{20})& 1\end{array}\right]}^{-1}\&times;\left(\begin{array}{c}{F}_{20}\\ F_{23}\\ F_{24}\end{array}\right)$

$=\left[\begin{array}{ccc}0& -0.0001& 0.0001\\ -0.0112& 0.0256& -0.0144\\ 1.0000& 0& 0\end{array}\right]\&times;\left(\begin{array}{c}-1.8969\\ -1.9129\\ -0.1172\end{array}\right)$

$=\left(\begin{array}{c}0.0001\\ -0.0190\\ -2.5293\end{array}\right)$

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

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

Totally six measurement passages are effective greater than there being No. 23 to No. 28 in 22 the measurement passage for sequence number at this moment, then read the plate 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, F simultaneously ₁₉, F ₂₀, F ₂₃And F ₂₄Between position relation be: (F ₂₄-F ₂₃) * (F ₂₀-F ₁₉)＜0, then calculate No. 20, No. 22, No. 23, No. 24 passage respectively and be the origin of coordinates with plate profile instrument measuring roller transverse center point, be respective coordinates value on the reference axis on the positive direction near the transmission side direction:

$X_{20}=\frac{w_{20}}{2}+\underset{k=15}{\overset{19}{\mathrm{\&Sigma;}}}{w}_k=286\mathrm{mm},$ $X_{21}=\frac{{\mathrm{<figure-callout\; id="21"\; label="w"\; filenames="HDA0000131251040000041.png"\; state="\{\{state\}\}">w</figure-callout>}}_{21}}{2}+\underset{k=15}{\overset{20}{\mathrm{\&Sigma;}}}{w}_k=390\mathrm{mm},$

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

Utilize parabolic interpolation to calculate the plate shape signal compensation value of measuring passage for No. 22 then:

$\left(\begin{array}{c}a\\ b\\ c\end{array}\right){=\left[\begin{array}{ccc}0& 0& 1\\ {(X_{23}-X_{20})}^2& (X_{23}-X_{20})& 1\\ {(X_{24}-X_{20})}^2& (X_{23}-X_{20})& 1\end{array}\right]}^{-1}\&times;\left(\begin{array}{c}{F}_{20}\\ F_{23}\\ F_{24}\end{array}\right)$

$=\left[\begin{array}{ccc}0& -0.0001& 0.0001\\ -0.0112& 0.0256& -0.0144\\ 1.0000& 0& 0\end{array}\right]\&times;\left(\begin{array}{c}-1.8969\\ -1.9129\\ -0.1172\end{array}\right),$

$=\left(\begin{array}{c}0.0001\\ -0.0190\\ -2.5293\end{array}\right)$

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

Fig. 5 has provided the resulting plate shape distribution map in the inventive method compensation back.From to Fig. 2 and Fig. 5 to recently seeing; The plate shape offset of No. 21 and No. 22 measurement passage that inefficacy measurement channel compensation method of the present invention obtains is respectively-3.1189 draws--and 2.9134; And the plate shape actual value that passage is measured in No. 21 and No. 22 among Fig. 2 is respectively-2.8780I and-2.7478I; It is thus clear that exist between plate shape actual value and the offset than large deviation; Can know that through the contrast of Fig. 2 and Fig. 4 compensator section plate shape curve is also very close with actual plate shape plots changes in addition, backoff algorithm has well restored original plate shape distribution situation.Absolute value with the difference of inefficacy passage actual plate shape value and offset is a criterion; Fig. 6 has provided and has adopted conventional method and the inventive method compensating error effect comparison diagram in this example respectively, can find out that the inventive method can reduce compensating error significantly; Meanwhile, through the contrast of Fig. 2 and Fig. 4, Fig. 5, the plate shape distribution trend that can find out the inventive method compensator section distributes similar with actual plate shape, that is reduction was preferably lost efficacy and measured the actual plate shape distribution characteristics of passage.

7. with the F that calculates ₂₁And F ₂₂Be sent to plat control system, be used for the cold-rolled strip steel shape close-loop feedback control; Send host computer simultaneously to, be used for that plate shape shows or reference be provided for Artificial Control.

Above embodiment only is used to explain calculating thought of the present invention and characteristics, and its purpose is to make those skilled in the art can understand content of the present invention and implements according to this, and protection scope of the present invention is not limited to the foregoing description.So the disclosed principle of all foundations, equivalent variations or the modification that mentality of designing is done are all within protection scope of the present invention.

Claims (8)

1. a plate profile instrument lost efficacy and measured the plate shape method for compensating signal of passage; It is characterized in that: collection cold-strip steel width, plate profile instrument are respectively measured operation of rolling information such as channel size, strip running deviation amount, thereby determine the effective plate profile instrument number of active lanes that covers of cold-strip steel and it is carried out serial number; The foundation inefficacy is measured passage present position difference and is selected different compensation ways to lose efficacy and measure the compensation of channel plate shape signal; Compensation method was lost efficacy through reasonable analysis and was measured the adjacent measurement in the both sides interchannel plate shape regularity of distribution and the trend of passage; 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 is for the plate shape control quality that improves cold-strip steel improves strong guarantee.

2. plate shape method for compensating signal according to claim 1 is characterized in that may further comprise the steps:

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

(2) confirm that the plate profile instrument that is effectively covered by cold-strip steel measures number of active lanes N, and said N plate profile instrument measurement passage numbered by the fore side of milling train order on the transmission side direction, be respectively No. 1 passage, No. 2 passage ..., the N passage; Confirm that simultaneously this N is measured width of channel size w _i, i=1,2...., N, unit is mm, is the boundary with plate profile instrument measuring roller transverse center point wherein, is N near the measurement number of active lanes of milling train fore side ₁, be N near the measurement number of active lanes of milling train transmission side ₂, and N=N is arranged ₁+ N ₂

(3) confirm the measurement serial number of channels i that generation was lost efficacy: if i=1 then goes to step (4); If i=N then goes to step (5); If 1＜i＜N, transposition step (6);

(4) read and No. 1 immediate two the effective i.e. plate shape signal value F of m number measurement passage of passages that measure of measurement passage _mPlate shape signal value F with n number measurement passage _n, and m＜n is arranged, calculate No. 1, m number and n passage more respectively and be the origin of coordinates with plate profile instrument measuring roller transverse center point, be coordinate figure corresponding on the reference axis on the positive direction near the transmission side direction:

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

Utilize linear interpolation method to calculate then and go to step (9) after the plate shape signal compensation value 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 and N number immediate two the effective i.e. plate shape signal value F of m number measurement passage of passages that measure of measurement passage _mPlate shape signal value F with n number measurement passage _n, and m＜n is arranged, calculate m number, n number and N passage more respectively and be the origin of coordinates with plate profile instrument measuring roller transverse center point, be coordinate figure corresponding on the reference axis on the positive direction near the transmission side direction:

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

Utilize linear interpolation method to calculate then and go to step (9) after the plate shape signal compensation value 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 can classify as following three kinds less than the number of effectively measuring passage in the measurement passage of i: 1) sequence number all lost efficacy less than the measurement passage of i; 2) have only a passage effective in the measurement passage of sequence number less than i, 3) sequence number is effective less than two or more passages in the measurement passage of i; Lost efficacy less than classification under the number of effectively measuring passage in the measurement passage of i according to sequence number and to measure the plate shape signal compensation of passage.

(8) sequence number can classify as following three kinds greater than the number of effectively measuring passage in the measurement passage of i: 1) sequence number all lost efficacy greater than the measurement passage of i; 2) have only a passage effective in the measurement passage of sequence number greater than i, 3) sequence number is effective greater than two or more passages in the measurement passage of i; Lost efficacy greater than classification under the number of effectively measuring passage in the measurement passage of i according to sequence number and to measure the plate shape signal compensation of passage.

(9) Fi that calculates is sent to plat control system, is used for the cold-rolled strip steel shape close-loop feedback control; Send host computer simultaneously to, be used for that plate shape shows or reference be provided for Artificial Control;

Through above-mentioned steps, realize plate shape signal compensation to plate profile instrument inefficacy measurement passage.

3. plate shape method for compensating signal according to claim 2; It is characterized in that the sequence number described in the step (7) belongs to classification 1 less than the number of effectively measuring passage in the measurement passage of i) time; Being sequence number all lost efficacy less than the measurement passage of i, read sequence number greater than effectively measuring the plate shape signal value F that passages are promptly measured passage for m number near two that measure passage for i number among the i _mPlate shape signal value F with n number measurement passage _n, and m＜n is arranged, calculate i number, m number and n passage more respectively and be the origin of coordinates with plate profile instrument measuring roller transverse center point, be coordinate figure corresponding on the reference axis on the positive direction near the transmission side direction:

If i＜N ₁, then

If i=N ₁, then

If m＜N ₁, then If m=N ₁, then

If m=N ₁+ 1, then

If m＞N ₁+ 1, then

If n＜N ₁, then

If n=N ₁, then If n=N ₁+ 1, then

If n＞N ₁+ 1, then

Utilize linear interpolation method to calculate then and go to step (9) after the plate shape signal compensation value of i passage:

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

4. plate shape method for compensating signal according to claim 2; It is characterized in that the sequence number described in the step (7) belongs to classification 2 less than the number of effectively measuring passage in the measurement passage of i) time; Be to have only a passage effective in the measurement passage of sequence number less than i; This channel position is j and 1≤j＜i is arranged, and then reads the plate shape signal F of j passage _j, and sequence number is greater than effectively measuring the plate shape signal F that passages are promptly measured passage for m number near two that measure passage for i number among the i _mPlate shape signal F with n number measurement passage _n, and m＜n is arranged; Divide relatively F of two kinds of situation again _j, F _mAnd F _nBetween position relation, specifically:

A) if (F _n-F _m) * (F _j-F _m)≤0, then calculate j number, i number and m passage respectively and be the origin of coordinates with plate profile instrument measuring roller transverse center point, be coordinate figure corresponding on the reference axis on the positive direction near the transmission side direction:

If i＜N ₁, then

If i=N ₁, then

If m＜N ₁, then

If n=N ₁, then

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

Utilize linear interpolation method to calculate then and go to step (9) after the plate shape signal compensation value of i passage:

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

B) if (F _n-F _m) * (F _j-F _m)＞0, then calculate j number, i number, m number, n passage respectively and be the origin of coordinates with plate profile instrument measuring roller transverse center point, be coordinate figure corresponding on the reference axis on the positive direction near the transmission side direction:

If i＜N ₁, then

If i=N ₁, then

If m＜N ₁, then

If n=N ₁, then

If m=N ₁+ 1, then

If m＞N ₁+ 1, then

If n＜N ₁, then If n=N ₁, then

If n=N ₁+ 1, then

If n＞N ₁+ 1, then

Utilize parabolic interpolation to calculate then and go to step (9) after the plate shape signal compensation value 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。

5. plate shape method for compensating signal according to claim 2; It is characterized in that the sequence number described in the step (7) belongs to classification 3 less than the number of effectively measuring passage in the measurement passage of i) time; Be that sequence number is effective less than two or more passages in the measurement passage of i, then read sequence number respectively less than effectively measuring the plate shape signal F that passages are promptly measured passage for h number among the i near two that measure passage for i number _hPlate shape signal F with j number measurement passage _j, and h＜j is arranged, and sequence number is greater than effectively measuring the plate shape signal F that passages are promptly measured passage for m number near two that measure passage for i number among the i _mPlate shape signal F with n number measurement passage _n, and m＜n is arranged;

Divide relatively F of two kinds of situation again _h, F _j, F _mAnd F _nBetween position relation, specifically:

A) if (F _n-F _m) * (F _j-F _h)>=0, then calculate j number, i number and m passage respectively and be the origin of coordinates with plate profile instrument measuring roller transverse center point, be coordinate figure corresponding on the reference axis on the positive direction near the transmission side direction:

If i＜N ₁, then

If i=N ₁, then

If m＜N ₁, then

If n=N ₁, then

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

Utilize linear interpolation method to calculate then and go to step (9) after the plate shape signal compensation value of i passage:

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

B) if (F _n-F _m) * (F _j-F _h)＜0, then calculate h number, j number, i number, m respectively and number measure passage and be the origin of coordinates with plate profile instrument measuring roller transverse center point, be respective coordinates value on the reference axis on the positive direction near the transmission side direction:

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

If m＜N ₁, then

If m=N ₁, then

If m=N ₁+ 1, then If m＞N ₁+ 1, then

Utilize parabolic interpolation to calculate then and go to step (9) after the plate shape signal compensation value 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。

6. plate shape method for compensating signal according to claim 2; It is characterized in that the sequence number described in the step (8) belongs to classification 1 greater than the number of effectively measuring passage in the measurement passage of i) time; Being sequence number all lost efficacy greater than the measurement passage of i, then read sequence number less than effectively measuring the plate shape signal F that passages are promptly measured passage for h number near two that measure passage for i number among the i _hPlate shape signal F with j number measurement passage _j, and h＜j is arranged, calculate i number, h number and j passage more respectively and be the origin of coordinates with plate profile instrument measuring roller transverse center point, be coordinate figure corresponding on the reference axis on the positive direction near the transmission side direction:

If i=N ₁+ 1, then

If i＞N ₁+ 1, then If h＜N ₁, then

If h=N ₁, then

If h=N ₁+ 1, then If h＞N ₁+ 1, then

If j＜N ₁, then

If j=N ₁, then

If j=N ₁+ 1, then

If j＞N ₁+ 1, then

Utilize linear interpolation method to calculate then and go to step (9) after the plate shape signal compensation value of i passage:

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

7. plate shape method for compensating signal according to claim 2; It is characterized in that the sequence number described in the step (8) belongs to classification 2 greater than the number of effectively measuring passage in the measurement passage of i) time; Have only a passage effective in the measurement passage of sequence number greater than i; And this channel position for and i＜j≤N arranged; (being expressed as m number here measures passage and measures passage for n number, and the plate shape signal F of m＜n) is arranged less than effectively measuring passages near two that measure passage for i number among the i then to read j passage, sequence number _j, F _mAnd F _n, divide relatively F of two kinds of situation _j, F _mAnd F _nBetween position relation:

A) if (F _m-F _n) * (F _j-F _n)≤0, then calculate j number, i number and n passage respectively and be the origin of coordinates with plate profile instrument measuring roller transverse center point, be coordinate figure corresponding on the reference axis on the positive direction near the transmission side direction: If i=N ₁+ 1

If i＞N ₁+ 1

If n＜N ₁Then

If n=N ₁Then If n=N ₁+ 1

If n＞N ₁+ 1

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

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

B) if (F _m-F _n) * (F _j-F _n)＞0, then calculate j number, i number, n number, m passage respectively and be the origin of coordinates with plate profile instrument measuring roller transverse center point, be coordinate figure corresponding on the reference axis on the positive direction near the transmission side direction:

If i=N ₁+ 1

If i＞N ₁+ 1

If n＜N ₁Then If n=N ₁Then

If n=N ₁+ 1

If n＞N ₁+ 1

If m＜N ₁Then

If n=N ₁Then

If m=N ₁+ 1

If m＞N ₁+ 1

Utilize parabolic interpolation to calculate again and go to step (9) after the plate shape signal compensation value 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。

8. plate shape method for compensating signal according to claim 2; It is characterized in that the sequence number described in the step (8) belongs to classification 3 greater than the number of effectively measuring passage in the measurement passage of i) time; Then sequence number is effective greater than two or more passages in the measurement passage of i; (being expressed as h number here measures passage and measures passage j number less than effectively measuring passages near two that measure passage for i number among the i then to read sequence number respectively; And (being expressed as m number here measures passage and measures passage for n number, and the plate shape signal value F of m＜n) is arranged greater than effectively measuring passages near two that measure passage for i number among the i for plate shape signal and sequence number that h＜j) arranged _h, F _j, F _mAnd F _n, divide relatively F of two kinds of situation _h, F _j, F _mAnd F _nBetween position relation:

A) if (F _n-F _m) * (F _j-F _h)>=0, then calculate j number, i number and m passage respectively and be the origin of coordinates with plate profile instrument measuring roller transverse center point, be coordinate figure corresponding on the reference axis on the positive direction near the transmission side direction:

If j＜N ₁Then

If j=N ₁Then

If j=N ₁+ 1

If j＞N ₁+ 1

If i=N ₁+ 1

If i＞N ₁+ 1

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

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

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

B) if (F _n-F _m) * (F _j-F _h)＜0, then calculate j number, i number, m number, n passage respectively and be the origin of coordinates with plate profile instrument measuring roller transverse center point, be respective coordinates value on the reference axis on the positive direction near the transmission side direction:

If j＜N ₁Then

If j=N ₁Then

If j=N ₁+ 1

If j＞N ₁+ 1 If i=N ₁+ 1 If i＞N ₁+ 1

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

Utilize parabolic interpolation to calculate then and go to step (9) after the plate shape signal compensation value 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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