JPH045553A - Emission spectrochemical analysis of steel - Google Patents
Emission spectrochemical analysis of steelInfo
- Publication number
- JPH045553A JPH045553A JP10519690A JP10519690A JPH045553A JP H045553 A JPH045553 A JP H045553A JP 10519690 A JP10519690 A JP 10519690A JP 10519690 A JP10519690 A JP 10519690A JP H045553 A JPH045553 A JP H045553A
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- JP
- Japan
- Prior art keywords
- sample
- inclusions
- steel
- pulses
- abnormality
- Prior art date
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Classifications
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N21/00—Investigating or analysing materials by the use of optical means, i.e. using sub-millimetre waves, infrared, visible or ultraviolet light
- G01N21/62—Systems in which the material investigated is excited whereby it emits light or causes a change in wavelength of the incident light
- G01N21/66—Systems in which the material investigated is excited whereby it emits light or causes a change in wavelength of the incident light electrically excited, e.g. electroluminescence
- G01N21/67—Systems in which the material investigated is excited whereby it emits light or causes a change in wavelength of the incident light electrically excited, e.g. electroluminescence using electric arcs or discharges
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- Health & Medical Sciences (AREA)
- Nuclear Medicine, Radiotherapy & Molecular Imaging (AREA)
- Physics & Mathematics (AREA)
- Life Sciences & Earth Sciences (AREA)
- Chemical & Material Sciences (AREA)
- Analytical Chemistry (AREA)
- Biochemistry (AREA)
- General Health & Medical Sciences (AREA)
- General Physics & Mathematics (AREA)
- Immunology (AREA)
- Pathology (AREA)
- Investigating, Analyzing Materials By Fluorescence Or Luminescence (AREA)
Abstract
Description
【発明の詳細な説明】
[産業上の利用分野コ
この発明は、鉄鋼材料の成分を分析する発光分光分析方
法に係り、特に、鋼中介在物の平均粒径を測定するため
の鋼の発光分光分析方法に関する。DETAILED DESCRIPTION OF THE INVENTION [Industrial Field of Application] This invention relates to an emission spectroscopic analysis method for analyzing the components of steel materials, and particularly relates to an emission spectroscopic analysis method for analyzing the components of steel materials, and in particular, for measuring the average particle size of inclusions in steel. Concerning spectroscopic analysis methods.
[従来の技術]
鋼へのアルミニウムの添加は、脱酸剤としての機能の他
に、鋼質を決定する上で重要な要素となる。鋼中アルミ
ニウムの形態は、鋼に固溶している酸可溶性アルミニウ
ム(以下、Sol、A、17という)と、アルミナ系化
合物である酸不溶性アルミニウム(以下、In5o1.
Allという)との二つの形態がある。[Prior Art] The addition of aluminum to steel serves as an important factor in determining the quality of the steel, in addition to its function as a deoxidizing agent. The forms of aluminum in steel are acid-soluble aluminum (hereinafter referred to as Sol, A, 17) dissolved in steel, and acid-insoluble aluminum (hereinafter referred to as In5o1.
There are two forms: All).
製鋼工程においては各鋼種ごとにSol、A1)量が定
められており、実操業では分析結果に基づきSol、A
、Q量が規格範囲内に収まるようにアルミニウム添加量
を調整している。添加アルミニウムの大部分は固溶して
Sol、Agになるが、一部はIn5o1.Allにな
る。In5o1.A、Qが鋼中に多量に存在すると、こ
れによりアルミナ介在物が生成され、製品に表面疵など
の欠陥が生じやすくなる。In the steelmaking process, the amounts of Sol and A1) are determined for each type of steel, and in actual operations, Sol and A1) are determined based on the analysis results.
, the amount of aluminum added is adjusted so that the amount of Q falls within the standard range. Most of the added aluminum dissolves into Sol and Ag, but some of it becomes In5o1. Become All. In5o1. When A and Q are present in large amounts in steel, alumina inclusions are generated, making the product more likely to have defects such as surface flaws.
特に、深絞り材などの鋼製品では大粒径のアルミナ介在
物が鋼中に多く存在すると、欠陥か生じやすくなり、決
定的な品質低下となる。従って、製鋼工程の各段階にお
いて鋼中のアルミナ介在物の平均粒径を正確に把握する
必要かある。Particularly, in steel products such as deep-drawn materials, if a large number of large-grain alumina inclusions are present in the steel, defects are likely to occur, resulting in a decisive quality deterioration. Therefore, it is necessary to accurately grasp the average particle size of alumina inclusions in steel at each stage of the steelmaking process.
一般に、鋼中介在物の平均粒径を測定する方法には、サ
ンド分析法および顕微鏡法がある。サンド分析法では、
試料を酸に溶解して残渣中のアルミナ等の介在物を選別
し、これらの平均粒径を測定する。しかしながら、サン
ド分析法は複雑な操作が不可欠であり、さらに分析所要
時間が2乃至5日にも及び、実用的でない。Generally, methods for measuring the average particle size of inclusions in steel include sand analysis and microscopy. In the sand analysis method,
The sample is dissolved in acid, inclusions such as alumina in the residue are screened out, and the average particle size of these is measured. However, the Sandoz analysis method requires complicated operations and requires analysis time of 2 to 5 days, making it impractical.
[発明が解決しようとする課題] 顕微鏡法は、JIS規格GO555に規定されている。[Problem to be solved by the invention] The microscopy method is specified in JIS standard GO555.
この方法では、試料を鏡面仕上げしなければならず、試
料作製及び測定に1乃至2日も要するので、分析結果を
迅速に得ることかできない。In this method, the sample must be mirror-finished, and it takes one to two days for sample preparation and measurement, making it impossible to obtain analytical results quickly.
近年ではコンピュータ画像解析法が開発され、分析の迅
速化が進んでいるか、研磨疵およびゴミの付着により誤
差を生じやすい。また、コンピュータ画像解析法では介
在物の種類を判別することが困難であるなどの欠点があ
る。In recent years, computer image analysis methods have been developed to speed up analysis, or they are prone to errors due to polishing scratches and dust. Furthermore, computer image analysis methods have drawbacks such as difficulty in determining the type of inclusions.
特開昭64−70134号公報には、エレクトロンビー
ム(E B)により試料の一部を溶融して介在物を試料
表面に浮上させ、これを顕微鏡観察により定量する方法
が記載されている。しかしながら、この方法においても
分析所要時間が2乃至3時間にも及び、迅速な測定結果
を得ることができない。JP-A-64-70134 describes a method in which inclusions are floated to the surface of the sample by melting a portion of the sample using an electron beam (EB), and the inclusions are quantified by microscopic observation. However, even with this method, the time required for analysis is as long as 2 to 3 hours, and rapid measurement results cannot be obtained.
この発明は、かかる事情に鑑みてなされたものであって
、鋼中の介在物量を迅速かつ高精度に分析することがで
きる鋼の発光分光分析方法を提供することを目的とする
。The present invention has been made in view of the above circumstances, and an object of the present invention is to provide an emission spectroscopic analysis method for steel that can quickly and accurately analyze the amount of inclusions in steel.
[課題を解決するための手段]
この発明に係る鋼の発光分光分析方法は、エレクトロン
ビームを照射して試料の一部を溶融し、試料中に含まれ
る介在物を試料表面に浮上させ、凝固後これを発光分析
し、パルス放電ごとに鉄元素および分析対象元素の分光
スペクトル線の発光強度をそれぞれ検出し、検出した発
光強度について統計的手法を用いて鉄元素の発光強度お
よび分析対象元素の発光強度の相関関係を求め、この相
関関係から試料中の分析対象元素の異常値パルスごとに
異常度を求め、これら異常度の平均を用いて分析対象元
素を含む介在物の平均粒径を求めることを特徴とする。[Means for Solving the Problems] The method for optical emission spectroscopic analysis of steel according to the present invention melts a part of the sample by irradiating it with an electron beam, floats inclusions contained in the sample to the sample surface, and solidifies the sample. This is then subjected to emission analysis, and the emission intensities of the spectroscopic lines of the iron element and the target element are detected for each pulse discharge, and the detected emission intensities are used to calculate the emission intensity of the iron element and the target element using statistical methods. Determine the correlation between the emission intensities, use this correlation to determine the degree of abnormality for each abnormal value pulse of the element to be analyzed in the sample, and use the average of these degrees of abnormality to determine the average particle size of inclusions containing the element to be analyzed. It is characterized by
[作用]
試料中には可溶性アルミニウムと不溶性アルミニウム(
アルミナ介在物)とが共存するが、両者は発光強度に現
れる挙動が異なる。一般に、不溶性アルミニウムの励起
効率が可溶性アルミニウムのそれよりも高くなるために
、PDA法によれば不溶性アルミニウムの多量の存在に
より正誤差を生じる。[Effect] The sample contains soluble aluminum and insoluble aluminum (
Alumina inclusions) coexist, but the behavior of the two in terms of emission intensity is different. In general, the excitation efficiency of insoluble aluminum is higher than that of soluble aluminum, so the presence of a large amount of insoluble aluminum causes a positive error in the PDA method.
この発明に係る鋼の発光分光分析方法においては、エレ
クトロンビームを照射して試料の一部を溶融させ、試料
内部の介在物を表面に浮上させるので、一定体積内に存
在する介在物に対して分析することが可能になる。エレ
クトロンビーム照射領域が凝固した後にパルス放電する
と、介在物が他の表面領域より多く存在するので、多数
の異常値パルスが検出される。これらの異常値パルスに
おいては、鉄元素の発光強度に対して分析対象元素の発
光強度が異常に高くなる。In the steel emission spectroscopic analysis method according to the present invention, an electron beam is irradiated to melt a part of the sample and cause inclusions inside the sample to float to the surface. It becomes possible to analyze. If a pulse discharge is performed after the electron beam irradiation area has solidified, a large number of abnormal value pulses will be detected because there are more inclusions than other surface areas. In these abnormal value pulses, the emission intensity of the element to be analyzed becomes abnormally higher than the emission intensity of the iron element.
このようにして検出されたパルス群を回帰法により処理
し、パルス群の下方接線を相関式として求める。さらに
、この下方接線相関式を統計的解析手法により変形し、
上方接線を求める。この上方接線は、異常値パルスを他
の正常値パルスから区分するためのしきい値を与えるも
のであり、上方接線を越えるパルスを異常値パルスと判
定する。The pulse group detected in this manner is processed by a regression method, and the lower tangent line of the pulse group is determined as a correlation equation. Furthermore, this downward tangent correlation equation is transformed using statistical analysis methods,
Find the upper tangent. This upper tangent provides a threshold value for distinguishing abnormal value pulses from other normal value pulses, and a pulse that exceeds the upper tangent is determined to be an abnormal value pulse.
次いで、異常値パルスごとに異常度を求める。Next, the degree of abnormality is determined for each abnormal value pulse.
異常値パルスの異常度は、上方接線がらの分析対象元素
の発光強度値の外れ方の異常さ(異常度b / a )
をあられす指数である。すべての異常値パルスの異常度
b / a (:基づき介在物の平均粒径を求める。こ
の場合に、介在物の平均粒径が既知の標準試料にパルス
放電して異常値パルスを予め検出しておき、これら異常
値パルスを基準値として用いる。この基準値と実測の異
常値パルスとの比較において試料中の介在物の平均粒径
を求める。The abnormality of the abnormal value pulse is the abnormality of the deviation of the emission intensity value of the analysis target element from the upper tangent (abnormality degree b / a)
is the hail index. The average particle size of inclusions is calculated based on the abnormality degree b / a of all abnormal value pulses (:). Then, these abnormal value pulses are used as reference values.The average particle size of inclusions in the sample is determined by comparing these reference values with the actually measured abnormal value pulses.
[実施例コ
以下、添付の図面を参照して本発明の種々の実施例につ
いて具体的に説明する。[Embodiments] Hereinafter, various embodiments of the present invention will be specifically described with reference to the accompanying drawings.
この実施例においては、RH脱ガス精錬溶鋼、連続鋳造
溶鋼(素鋼)、取鍋精錬溶鋼、並びに転炉出鋼溶鋼から
サンプリングした試料をそれぞれ発光分光分析する。所
定量の溶鋼をサンプリングし、凝固後これを切断・研磨
して試料を作製する。In this example, samples taken from RH degassing refining molten steel, continuous casting molten steel (raw steel), ladle refining molten steel, and converter-extracted molten steel are analyzed by emission spectroscopy. A predetermined amount of molten steel is sampled, and after solidification, it is cut and polished to create a sample.
第1図に示すように、試料3の研磨面にエレクトロンビ
ームを照射し、試料3の所定体積を部分溶融し、溶融凝
固部4を形成する。第2図に示すように、溶融凝固部4
においては、試料3の内部に含まれるアルミナ介在物5
が浮上し、表面に介在物5が露出する。As shown in FIG. 1, the polished surface of the sample 3 is irradiated with an electron beam to partially melt a predetermined volume of the sample 3, thereby forming a molten solidified portion 4. As shown in FIG.
In this case, alumina inclusions 5 contained inside sample 3
floats up, and the inclusions 5 are exposed on the surface.
次いで、溶融凝固部4と電極との間に5秒間だけパルス
放電し、分光スペクトル線を光電子倍増管で受け、鉄元
素およびアルミニウム元素の発光強度をそれぞれ検出す
る。この場合に、放電の周波数は400ヘルツである。Next, a pulse discharge is generated between the melting solidification part 4 and the electrode for only 5 seconds, and the spectral lines are received by a photomultiplier tube to detect the emission intensities of iron element and aluminum element, respectively. In this case, the frequency of the discharge is 400 Hertz.
発光分光分析器の光電子倍増管はデータ処理装置の入力
側に接続されている。試料に放電し、得られた鉄元素お
よびアルミニウム元素の発光強度の関係を第3図に示す
。第3図では、便宜的にプロット数を簡略化しているか
、1回の分析において実際には発光プロット群は200
0個のプロット群からなるものである。画面の横軸は鉄
元素の発光強度(画面左から右へ向って強度が大になる
)を示し、縦軸はアルミニウム元素の発光強度(画面下
から上へ向って強度か大になる)を示す。The photomultiplier tube of the emission spectrometer is connected to the input side of the data processing device. FIG. 3 shows the relationship between the luminescence intensities of iron element and aluminum element obtained by discharging the sample. In Figure 3, the number of plots is simplified for convenience, or there are actually 200 luminescence plots in one analysis.
It consists of 0 plot groups. The horizontal axis of the screen shows the luminescence intensity of the iron element (the intensity increases from left to right on the screen), and the vertical axis shows the luminescence intensity of the aluminum element (the intensity increases from the bottom to the top of the screen). show.
データ処理装置のCPUは、統計的解析を実行するため
の各種プログラムを有している。発光プロットの全ての
データがデータ処理装置のメモリ部に一時的にストアさ
れ、各種の統計的解析手法によってデータ解析される。The CPU of the data processing device has various programs for executing statistical analysis. All the data of the luminescence plots are temporarily stored in the memory section of the data processing device, and the data are analyzed using various statistical analysis techniques.
次に、検出データを種々の統計的手法を用いて解析し、
プロット群の回帰線を求める手順について説明する。Next, the detected data is analyzed using various statistical methods,
The procedure for finding a regression line for a group of plots will be explained.
二点回帰法
[I]鉄元素の発光強度(以下、「鉄強度」という)の
総和を求め、これをパルス数(2000個)で割って鉄
強度の平均値Avを求める。Two-point regression method [I] Find the sum of the emission intensities of iron elements (hereinafter referred to as "iron intensity"), and divide this by the number of pulses (2000) to find the average value Av of the iron intensity.
[n]鉄強度が平均値Av以上の領域に存在し、かつ、
アルミニウム元素の発光強度(以下、「アルミニウム強
度」という)か小さいほうから5番目までのプロットを
抽出し、これら5個の鉄強度の平均値FHおよびアルミ
ニウム強度の平均値AHをそれぞれ求める。[n] Exists in a region where the iron strength is equal to or higher than the average value Av, and
Plots of the fifth smallest emission intensity of the aluminum element (hereinafter referred to as "aluminum intensity") are extracted, and the average value FH of these five iron intensities and the average value AH of aluminum intensities are determined, respectively.
[m]鉄強度か平均値AV未満の領域に存在し、かつ、
アルミニウム元素の発光強度(以下、「アルミニウム強
度」という)が小さいほうから5番目までのプロットを
抽出し、これら5個の鉄強度の平均値FLおよびアルミ
ニウム強度の平均値ALをそれぞれ求める。[m] Exists in a region where the iron strength is less than the average value AV, and
The fifth plots with the smallest emission intensity of the aluminum element (hereinafter referred to as "aluminum intensity") are extracted, and the average value FL of these five iron intensities and the average value AL of the aluminum intensities are determined, respectively.
[IV]上方領域を代表する平均値(FH,AH)の交
点Pと、下方領域を代表する平均値(F L。[IV] The intersection point P of the average values (FH, AH) representing the upper region and the average value (F L) representing the lower region.
AL)の交点Qと、の二点を通る直線の式を求める。こ
の直線式は、鉄強度およびアルミニウム強度の下方接線
を表わす相関式として下記(1)式のように表現できる
。Find the equation of the straight line that passes through the intersection Q of AL) and the two points. This linear equation can be expressed as the following equation (1) as a correlation equation representing the lower tangent of the iron strength and aluminum strength.
(AN)−(Fe)XAI十B+ −(1)たたし
、(i )はアルミニウム強度、(Fe)は鉄強度、A
1はXY座標上における直線の傾き、B1はXY座標上
における直線の切片をそれぞれ示す。(AN) - (Fe)
1 indicates the slope of the straight line on the XY coordinates, and B1 indicates the intercept of the straight line on the XY coordinates.
鉄カラム最小二乗回帰法
[I]鉄元素の発光強度(以下、「鉄強度」という)の
総和を求め、これをパルス数(2000個)で割って鉄
強度の平均値Avを求める。Iron Column Least Squares Regression Method [I] Find the sum of the emission intensities of iron elements (hereinafter referred to as "iron intensity"), and divide this by the number of pulses (2000) to find the average value Av of the iron intensity.
[■]平均値AVを10で割って、カラム幅を求める。[■] Divide the average value AV by 10 to find the column width.
鉄強度か平均値Avを下まわる領域に存在するプロット
群を10個のカラムL、〜LIOに等分割する。The plot group existing in the region where the iron strength is below the average value Av is equally divided into 10 columns L, ~LIO.
[I[[]第1カラムL1に存在するプロットのうちア
ルミニウム強度の小さいほうからn番目までのプロット
の鉄強度平均値FVIおよびアルミニウム強度平均値A
VIを求める。[I[[] Iron strength average value FVI and aluminum strength average value A of the n-th plots from the lowest aluminum strength among the plots existing in the first column L1
Find VI.
[IV]第2カラムL2乃至第10カラムLIOについ
ても同様の手順によりそれぞれ鉄強度平均値FV2〜F
VI Oおよびアルミニウム強度平均値AV2〜AVI
Oを求める。[IV] For the second column L2 to the tenth column LIO, the iron strength average values FV2 to FV are determined by the same procedure, respectively.
VI O and aluminum strength average value AV2 ~ AVI
Find O.
[Vl各カラムを代表する平均値(FVl。[Vl Average value representing each column (FVl.
AVI)〜(FVIO,AVIO)に相当する10個の
交点を最小二乗法により一次回帰し、直線の式を求める
。この直線式は、鉄強度およびアルミニウム強度の下方
接線を表わす相関式として下記(2)式のように表現で
きる。10 intersection points corresponding to AVI) to (FVIO, AVIO) are subjected to linear regression using the method of least squares to obtain a straight line equation. This linear equation can be expressed as the following equation (2) as a correlation equation representing the lower tangent line of iron strength and aluminum strength.
(A I ) = (F e ) X A 2 + 8
2 ・・・(2)ただし、A2はXYY標上におけ
る直線の傾き、B2はXY座座上上おける直線の切片を
それぞれ示す。(A I ) = (F e ) X A 2 + 8
2...(2) However, A2 indicates the slope of the straight line on the XYY coordinate, and B2 indicates the intercept of the straight line on the XY locus.
回帰収斂相関係数判定法
[I]相関図より鉄強度とアルミニウム強度を最小二乗
法により一次回帰し、下記(3)式を求める。Regression convergence correlation coefficient determination method [I] From the correlation diagram, iron strength and aluminum strength are subjected to linear regression using the least squares method to obtain the following equation (3).
(AN )−(F e)XA3 +B3 − (3
)ただし、A3はXYY標上における直線の傾き、B3
はXYY標上における直線の切片をそれぞれ示す。この
場合に、プロット群の分散の程度を表わす相関係数は小
さい。(AN)-(Fe)XA3 +B3-(3
) However, A3 is the slope of the straight line on the XYY standard, B3
indicate the intercept of a straight line on the XYY reference plane, respectively. In this case, the correlation coefficient representing the degree of dispersion of the plot group is small.
[II]上記(3)式に対応する直線より上方領域に存
在するプロット群を棄却し、直線を下まわる領域に存在
するプロット群につき鉄強度およびアルミニウム強度を
最小二乗法により一次回帰し、下記(4)式を求める。[II] Discard the plot groups that exist in the area above the straight line corresponding to equation (3) above, perform linear regression on the iron strength and aluminum strength using the least squares method for the plot groups that exist in the area below the straight line, and calculate the following: Find equation (4).
これにより、相関係数か増大する。This increases the correlation coefficient.
(A、Q )−(F e)XA4 +84 ・−(
4)たたし、(Aρ)はアルミニウム強度、(F e)
は鉄強度、A4はXYY標上における直線の傾き、B4
はXYY標上における直線の切片をそれぞれ示す。(A,Q)-(Fe)XA4 +84 ・-(
4) T, (Aρ) is aluminum strength, (F e)
is the steel strength, A4 is the slope of the straight line on the XYY elevation, B4
indicate the intercept of a straight line on the XYY reference plane, respectively.
[m]上記のように一次回帰と上方棄却の操作を繰り返
すことにより相関係数を増大させ、相関係数が所定値を
越えたところで繰り返し演算を止め、そのときの回帰式
を求める。最終の回帰式を下記(5)式に示す。[m] The correlation coefficient is increased by repeating the linear regression and upward rejection operations as described above, and when the correlation coefficient exceeds a predetermined value, the repeated calculation is stopped and the regression equation at that time is determined. The final regression equation is shown in equation (5) below.
(AN )= (Fe)XAn十Bn −(5)回
帰収斂相関係数判定異常パルス(プロット)棄却法
[1]相関図より鉄強度とアルミニウム強度を最小二乗
法により一次回帰し、下記(6)式を求める。(AN) = (Fe) ) Find the formula.
(Aff )−(F e)XA6 +B6 −
(6)ただし、A6はXYY標上における直線の傾き、
B6はXYY標上における直線の切片をそれぞれ示す。(Aff) - (Fe)XA6 +B6 -
(6) However, A6 is the slope of the straight line on the XYY standard,
B6 indicates the intercept of a straight line on the XYY standard.
この場合に、プロット群の分散の程度を表わす相関係数
は小さい。In this case, the correlation coefficient representing the degree of dispersion of the plot group is small.
[■コ上記(6)式に対応する直線より上方領域に存在
するプロット群を棄却し、直線を下まわる領域に存在す
るプロット群につき鉄強度およびアルミニウム強度を最
小二乗法により一次回帰し、下記(7)式を求める。こ
れにより、相関係数が増大する。[■C] Discard the plot groups that exist in the area above the straight line corresponding to the above equation (6), perform linear regression on the iron strength and aluminum strength using the least squares method for the plot groups that exist in the area below the straight line, and calculate the following Find equation (7). This increases the correlation coefficient.
(AII)−(F e)XA、+B7 −= (7)
ただし、A7はXYY標上における直線の傾き、B7は
XYY標上における直線の切片をそれぞれ示す。(AII)-(Fe)XA, +B7-= (7)
However, A7 represents the slope of the straight line on the XYY standard, and B7 represents the intercept of the straight line on the XYY standard.
[III]上記のように一次回帰と上方棄却の操作を繰
り返すことにより相関係数を増大させ、相関係数が所定
値を越えたところで繰り返し演算を止め、そのときの回
帰線を求める。この暫定回帰線から各プロット(残留す
るプロット)までの距離dをそれぞれ求め、その標準偏
差σ、を下記(8)式により求める。ただし、Nは残留
プロットの数とする。[III] As described above, the correlation coefficient is increased by repeating the linear regression and upward rejection operations, and when the correlation coefficient exceeds a predetermined value, the repeated calculation is stopped and the regression line at that time is determined. The distance d from this provisional regression line to each plot (remaining plot) is determined, and its standard deviation σ is determined using the following equation (8). However, N is the number of residual plots.
σ6− Σd2/ (N−1) ・・・(8)
[IV]標準偏差σ、の2倍を越えるプロットを異常値
として棄却するか、または、暫定回帰線からの距離dか
遠いほうから10%のプロットを棄却する。異常値を棄
却した後に、再び最小二乗法を用いて一次回帰し、回帰
線を求める。この最終回帰線は下記(9)式で表わされ
る。σ6- Σd2/ (N-1) ... (8)
[IV] Plots that exceed twice the standard deviation σ are rejected as abnormal values, or plots that are 10% of the distance d from the provisional regression line, whichever is farther, are rejected. After rejecting abnormal values, linear regression is performed again using the least squares method to obtain a regression line. This final regression line is expressed by the following equation (9).
(AN )= (Fe)XAQ 十89 ・−(9
)たたし、A9はXYY標上における最終回帰線の傾き
、B9はXYY標上における最終回帰線の切片をそれぞ
れ示す。(AN) = (Fe)XAQ 189 ・-(9
), A9 indicates the slope of the final regression line on the XYY elevation, and B9 indicates the intercept of the final regression line on the XYY elevation.
回帰収斂パルス(プロット)敷料定法
[1]相関図より鉄強度とアルミニウム強度を最小二乗
法により一次回帰し、下記(10)式を求める。Regression convergence pulse (plot) bedding method [1] From the correlation diagram, iron strength and aluminum strength are linearly regressed by the least squares method to obtain the following equation (10).
(AΩ)”” (F e)XA+o+ Boo ・−
(10)ただし、AHOはXYY標上における直線の傾
き、BIOはXYY標上における直線の切片をそれぞれ
示す。(AΩ)”” (F e)XA+o+ Boo ・-
(10) However, AHO represents the slope of the straight line on the XYY standard, and BIO represents the intercept of the straight line on the XYY standard.
[II]上記(10)式に対応する直線より上方領域に
存在するプロット群を棄却し、直線を下まわる領域に存
在するプロット群につき鉄強度およびアルミニウム強度
を最小二乗法により一次回帰し、下記(11)式を求め
る。[II] Discard the plot groups that exist in the area above the straight line corresponding to the above equation (10), linearly regress the iron strength and aluminum strength using the least squares method for the plot groups that exist in the area below the straight line, and calculate the following: Find equation (11).
(Ag) ”” (F e) xAll+EllI
・+・(11)たたし、A11はXY座標上における直
線の傾き、BllはXY座標上における直線の切片をそ
れぞれ示す。(Ag) ”” (F e) xAll+EllI
・+・(11) where A11 indicates the slope of the straight line on the XY coordinates, and Bll indicates the intercept of the straight line on the XY coordinates.
[ml上記のように一次回帰と上方棄却の操作を繰り返
すことにより残留プロット数を減少させ、プロット数が
所定数(例えば100個)より少なくなったところで繰
り返し演算を止め、そのときの回帰線を求める。この最
終回帰線は下記(12)式で表わされる。[ml As mentioned above, reduce the number of residual plots by repeating the operations of linear regression and upward rejection, and when the number of plots becomes less than a predetermined number (for example, 100), stop the repeated calculations and calculate the regression line at that time. demand. This final regression line is expressed by the following equation (12).
(Aff ) = (F e) XAl2+B12
=−(12)ただし、A12はXY座標上における最終
回帰線の傾き、B、□はXY座標上における最終回帰線
の切片をそれぞれ示す。(Aff) = (F e) XAl2+B12
=-(12) However, A12 indicates the slope of the final regression line on the XY coordinates, and B and □ indicate the intercepts of the final regression line on the XY coordinates, respectively.
回帰収斂パルス(プロット)敷料定異常パルス棄却法
[I]相関図より鉄強度とアルミニウム強度を最小二乗
法により一次回帰し、下記(13)式を求める。Regression Convergence Pulse (Plot) Bedding Constant Abnormal Pulse Rejection Method [I] From the correlation diagram, the iron strength and aluminum strength are linearly regressed by the least squares method to obtain the following equation (13).
(Ag)−(F e)XA13+B13 − (1B)
ただし、A13はXY座標上における直線の傾き、B1
3はXY座標上における直線の切片をそれぞれ示す。(Ag)-(Fe)XA13+B13-(1B)
However, A13 is the slope of the straight line on the XY coordinates, B1
3 indicates the intercept of a straight line on the XY coordinates.
[I[]上記(13)式に対応する直線より上方領域に
存在するプロット群を棄却し、直線を下まわる領域に存
在するプロット群につき鉄強度およびアルミニウム強度
を最小二乗法により一次回帰し、下記(14)式を求め
る。[I[] Discard the plot groups existing in the area above the straight line corresponding to the above equation (13), linearly regress the iron strength and aluminum strength using the least squares method for the plot groups existing in the area below the straight line, The following equation (14) is obtained.
(Ag)=’ (F e)XA14+B14 ”’
(14)ただし、A14はXY座標上における直線の傾
き、B14はXY座標上における直線の切片をそれぞれ
示す。(Ag)=' (F e)XA14+B14 '''
(14) However, A14 indicates the slope of the straight line on the XY coordinates, and B14 indicates the intercept of the straight line on the XY coordinates.
[I[[]上記のように一次回帰と上方棄却の操作を繰
り返すことにより残留プロット数を減少させ、プロット
数が所定数(例えば100個)より少なくなったところ
で繰り返し演算を止め、そのときの暫定回帰線を求める
。暫定回帰線から各残留プロットまでの距離dをそれぞ
れ求め、上記(8)式を用いて標準偏差σ4を求める。[I [[] As described above, the number of residual plots is reduced by repeating the linear regression and upward rejection operations, and when the number of plots becomes less than a predetermined number (for example, 100), the iterative calculation is stopped and the Find a provisional regression line. The distance d from the provisional regression line to each residual plot is determined, and the standard deviation σ4 is determined using the above equation (8).
[IV]標準偏差σ、の2倍を越えるプロットを異常値
として棄却する。異常値棄却後に、残留するプロット群
につき最小二乗法を用いて一次回帰し、最終の回帰線を
求める。この最終回帰線は下記(15)式で表わされる
。[IV] Plots that exceed twice the standard deviation σ are rejected as abnormal values. After rejecting outliers, linear regression is performed on the remaining plot groups using the least squares method to obtain a final regression line. This final regression line is expressed by the following equation (15).
(A、Q ) −(F e) ×A+5+ B+s
−(15)たたし、A15はXY座標上における最終回
帰線の傾き、B15はXY座標上における最終回帰線の
切片をそれぞれ示す。(A, Q) −(F e) ×A+5+ B+s
-(15) where A15 indicates the slope of the final regression line on the XY coordinates, and B15 indicates the intercept of the final regression line on the XY coordinates.
上述の六通りの方法のうちのいずれかによりプロット群
の回帰線(下方接線)を求める。Determine the regression line (lower tangent) of the plot group using one of the six methods described above.
次に、上記回帰線(以下、一般式(AN)−(F e)
xA+Bを用いて表現する)を用いて、下記の方法によ
りアルミナ介在物の平均粒径を求める場合について説明
する。Next, the above regression line (hereinafter, general formula (AN) - (Fe)
A case will be described in which the average particle size of alumina inclusions is determined by the following method using xA+B).
実施例1(異常値パルス異常度判定法による平均[I]
下記■又は■のいずれか一方の方法により上方領域に存
在する異常値パルスのしきい値を求める。Example 1 (Average [I] by abnormal value pulse abnormality degree determination method
The threshold value of the abnormal value pulse existing in the upper region is determined by either method (1) or (2) below.
■等式(Aff )= (F e)xAxN+Bを求め
る。■ Find the equation (Aff)=(F e)xAxN+B.
但し、Nは定数とする。However, N is a constant.
上記等式を第3図中の直線Gに示す。各異常値パルスご
とに異常度b / aを求め、異常度b / aにより
各異常値パルスのランク付けをする。異常度b / a
は下記(16)式により求める。The above equation is shown by straight line G in FIG. The degree of abnormality b/a is determined for each abnormal value pulse, and each abnormal value pulse is ranked based on the degree of abnormality b/a. Abnormality level b/a
is determined by the following equation (16).
b/a−Σ’+−+[(A、C’) f(Pe)XA
xN+Bl]/(Fe)・・ (16)
ただし、lは直線Gより上方領域に存在する異常値パル
スのみ加算することとする。b/a-Σ'+-+[(A, C') f(Pe)XA
xN+Bl]/(Fe) (16) However, l is assumed to be added only to the abnormal value pulses existing in the region above the straight line G.
■等式(AN )−(F e)XAXN+Cを求める。■ Find the equation (AN)-(Fe)XAXN+C.
但し、Nは定数、C−FHXA十Bとする。However, N is a constant, C-FHXA10B.
上記等式を第4図中の直線Hに示す。各異常値パルスご
とに異常度b / aを求め、異常度b / aにより
各異常値パルスのランク付けをする。異常度b / a
は下記(17)式により求める。The above equation is shown as straight line H in FIG. The degree of abnormality b/a is determined for each abnormal value pulse, and each abnormal value pulse is ranked based on the degree of abnormality b/a. Abnormality level b/a
is determined by the following equation (17).
b/a−Σ’+−+[(Ail) −1(Fe)x A
x N+ C1]/(Fe)・・・(17)
たたし、iは直線Hより上方領域に存在する異常値パル
スのみ加算することとする。b/a-Σ'+-+[(Ail)-1(Fe)x A
x N+ C1]/(Fe) (17) where i is assumed to add only the abnormal value pulses existing in the region above the straight line H.
[II]異常度b / aの総和を求め、これを異常値
パルスの個数で割って平均値を求める。この異常度の平
均値を基準値(介在物の平均粒径が既知の標準試料を用
いて予め求めておいた値)と比較し、試料中のアルミナ
介在物の平均粒径を決定する。[II] Find the sum of the abnormality degrees b/a and divide this by the number of abnormal value pulses to find the average value. This average value of the degree of abnormality is compared with a reference value (a value determined in advance using a standard sample in which the average particle size of inclusions is known) to determine the average particle size of alumina inclusions in the sample.
上記の異常値パルス異常度判定法を利用する方法によれ
ば、分析開始から終了までの所要時間は約30秒間(2
回分析の場合)であり、試料調整(エレクトロンビーム
溶解)時間を含めても約1時間で分析が終了し、アルミ
ナ介在物平均粒径の測定の迅速化の要請に十分に応える
ことができる。According to the method using the above abnormal value pulse abnormality degree determination method, the time required from the start to the end of analysis is approximately 30 seconds (2
(in the case of multiple analysis), and the analysis can be completed in about one hour, including the sample preparation (electron beam melting) time, and can fully meet the demand for speeding up the measurement of the average particle size of alumina inclusions.
第5図は、横軸にサンド分析法の測定による介在物の平
均粒径をとり、縦軸に本発明方法の測定による介在物の
平均粒径をとって、両者の測定結果の相関について調査
したグラフ図である。図中にて、白丸はRH脱ガス精錬
溶鋼の試料の結果を、黒丸は連続鋳造溶鋼の試料の結果
を、白三角は取鍋精錬溶鋼の試料の結果を、黒三角は転
炉出鋼溶鋼の試料の結果を、それぞれ示す。図から明ら
かなように、両者の測定結果は各種溶鋼においてよい一
致を示している。In Figure 5, the horizontal axis shows the average particle size of inclusions measured by the sand analysis method, and the vertical axis shows the average particle size of inclusions measured by the method of the present invention, and the correlation between the two measurement results is investigated. FIG. In the figure, white circles show the results of RH degassed molten steel samples, black circles show the results of continuous cast molten steel samples, white triangles show the results of ladle refined molten steel samples, and black triangles show the results of molten steel samples drawn from the converter. The results for each sample are shown below. As is clear from the figure, the two measurement results show good agreement for various types of molten steel.
第6図は、横軸に顕微鏡法の測定による介在物の平均粒
径をとり、縦軸に本発明方法の測定による介在物の平均
粒径をとって、両者の測定結果の相関について調査した
グラフ図である。図中にて、白丸はRH脱ガス精錬溶鋼
の試料の結果を、黒丸は連続鋳造溶鋼の試料の結果を、
白三角は取鍋精錬溶鋼の試料の結果を、黒三角は転炉出
鋼溶鋼の試料の結果を、それぞれ示す。図から明らかな
ように、両者の測定結果は各種溶鋼においてよい一致を
示している。In Figure 6, the horizontal axis shows the average particle size of inclusions measured by microscopy, and the vertical axis shows the average particle size of inclusions measured by the method of the present invention, and the correlation between the two measurement results was investigated. It is a graph diagram. In the figure, white circles show the results of the RH degassed molten steel sample, black circles show the results of the continuous cast molten steel sample,
The white triangles show the results for samples of ladle-refined molten steel, and the black triangles show the results for samples of molten steel extracted from a converter. As is clear from the figure, the two measurement results show good agreement for various types of molten steel.
[発明の効果]
この発明によれば、鋼中の介在物の平均粒径を高精度に
測定することができる。また、この発明によれば、分析
開始から終了までの所要時間を短くすることかでき、従
来法より迅速に分析結果を得ることかできる。このため
、深絞り鋼のような清浄鋼を精錬する場合に、その品質
管理において特に有効であり、鋼製品の品質向上におお
いに寄与することかできる。[Effects of the Invention] According to the present invention, the average particle size of inclusions in steel can be measured with high accuracy. Further, according to the present invention, the time required from the start to the end of analysis can be shortened, and analysis results can be obtained more quickly than with conventional methods. Therefore, when refining clean steel such as deep-drawn steel, it is particularly effective in quality control, and can greatly contribute to improving the quality of steel products.
第1図はエレクトロンビームを照射した試料を示す斜視
図、第2図はエレクトロンビーム照射により溶融凝固さ
せた部分を示す縦断面、第3図及び第4図はそれぞれ発
光パルス群を模式的に示し、異常値パルス異常度判定法
による平均粒径の測定手順を説明するための図、第5図
および第6図はそれぞれ本発明の詳細な説明するための
グラフ図である。
第1図
第2図
第3図
出願人代理人 弁理士 鈴江武彦
第4図Figure 1 is a perspective view showing a sample irradiated with an electron beam, Figure 2 is a longitudinal section showing a portion melted and solidified by electron beam irradiation, and Figures 3 and 4 schematically show a group of light emission pulses. , FIG. 5 and FIG. 6 are graphs for explaining the present invention in detail, respectively. Figure 1 Figure 2 Figure 3 Applicant's agent Patent attorney Takehiko Suzue Figure 4
Claims (1)
料中に含まれる介在物を試料表面に浮上させ、凝固後こ
れを発光分析し、パルス放電ごとに鉄元素および分析対
象元素の分光スペクトル線の発光強度をそれぞれ検出し
、検出した発光強度について統計的手法を用いて鉄元素
の発光強度および分析対象元素の発光強度の相関関係を
求め、この相関関係から試料中の分析対象元素の異常値
パルスごとに異常度を求め、これら異常度の平均を用い
て分析対象元素を含む介在物の平均粒径を求めることを
特徴とする鋼の発光分光分析方法。A part of the sample is melted by irradiation with an electron beam, and the inclusions contained in the sample float to the surface of the sample. After solidification, this is subjected to luminescence analysis, and each pulse discharge produces spectroscopic spectral lines of the iron element and the element to be analyzed. The detected luminescence intensities are used to find the correlation between the luminescence intensity of iron element and the luminescence intensity of the target element, and from this correlation, abnormal values of the target element in the sample are determined. A method for optical emission spectrometry analysis of steel, characterized in that the degree of abnormality is determined for each pulse, and the average particle size of inclusions containing the element to be analyzed is determined using the average of these degrees of abnormality.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP10519690A JPH045553A (en) | 1990-04-23 | 1990-04-23 | Emission spectrochemical analysis of steel |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP10519690A JPH045553A (en) | 1990-04-23 | 1990-04-23 | Emission spectrochemical analysis of steel |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| JPH045553A true JPH045553A (en) | 1992-01-09 |
Family
ID=14400918
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP10519690A Pending JPH045553A (en) | 1990-04-23 | 1990-04-23 | Emission spectrochemical analysis of steel |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JPH045553A (en) |
-
1990
- 1990-04-23 JP JP10519690A patent/JPH045553A/en active Pending
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