JPH045551A - Emission spectrochemical analysis of steel - Google Patents
Emission spectrochemical analysis of steelInfo
- Publication number
- JPH045551A JPH045551A JP10519490A JP10519490A JPH045551A JP H045551 A JPH045551 A JP H045551A JP 10519490 A JP10519490 A JP 10519490A JP 10519490 A JP10519490 A JP 10519490A JP H045551 A JPH045551 A JP H045551A
- Authority
- JP
- Japan
- Prior art keywords
- abnormal value
- determined
- aluminum
- sample
- analysis
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
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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
(57)【要約】本公報は電子出願前の出願データであるた
め要約のデータは記録されません。(57) [Summary] This bulletin contains application data before electronic filing, so abstract data is not recorded.
Description
【発明の詳細な説明】
[産業上の利用分野]
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、鋼中の介在物を定量分析するための鋼
の発光分光分析方法に関する。[Detailed Description of the Invention] [Industrial Application Field] The present invention relates to an emission spectroscopic analysis method for analyzing the components of steel materials, and in particular to an emission spectroscopic analysis of steel for quantitatively analyzing inclusions in steel. Regarding the method.
[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、AN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.Aj
J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, AN) that is dissolved in steel, and acid-insoluble aluminum (hereinafter referred to as In5o1.Aj), which is an alumina-based compound.
There are two forms: J).
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
l1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、AIになるが、一部はIn5o1.Al1にな
る。In5o1.AN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。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量を正確に把握する必要があ
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 l1 falls within the standard range. Most of the added aluminum becomes solid solution and becomes Sol, AI, but some of it becomes In5o1. Becomes Al1. In5o1. When AN is present in large amounts in steel, alumina inclusions are formed, making the product more likely to have defects such as surface scratches. Therefore, it is necessary to accurately grasp the amount of alumina inclusions in steel at each stage of the steelmaking process.
一般に、鋼中の介在物を定量する方法には、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を定量する。Generally, methods for quantifying inclusions in steel include sand analysis and microscopy. In the sand analysis method, a sample is dissolved in acid and the amount of alumina in the residue is determined.
[発明が解決しようとする課題]
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。[Problems to be Solved by the Invention] However, the sand analysis method requires complicated operations, and furthermore, the time required for analysis is 2 to 5 days, making it impractical.
顕微鏡法は、JIS規格GO555に規定されている。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
迅速に得ることができない。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
速化が進んでいるが、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, but they are prone to errors due to polishing scratches and adhesion of 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.
1987−3989 (233)の文献には、発光分光
分析により粒径10μm以上のアルミナ介在物の個数を
推定する方法が記載されている。しかしながら、この方
法によれば粒径10μm以上のアルミナ介在物に限られ
、他の粒径のものを判定できない。1987-3989 (233) describes a method for estimating the number of alumina inclusions with a particle size of 10 μm or more by emission spectroscopic analysis. However, this method is limited to alumina inclusions with a particle size of 10 μm or more, and cannot determine particles with other particle sizes.
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かで
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の状態
量を把握し、この異常値パルスの状態量を用いて分析対
象元素を含む介在物の含有率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. The correlation between the emission intensities is determined, the state quantity of the abnormal value pulse of the target element in the sample is determined from this correlation, and the content rate of inclusions containing the target element is determined using the state quantity of the abnormal value pulse. Characterized by seeking.
この場合に、異常値パルスの状態量としてアルミニウム
元素の異常値パルスの数を求め、異常値パルスの数に基
づき酸化アルミニウム介在物の含有率を求めることが好
ましい。In this case, it is preferable to determine the number of abnormal value pulses of the aluminum element as the state quantity of the abnormal value pulses, and to determine the content rate of aluminum oxide inclusions based on the number of abnormal value pulses.
また、異常値パルスの状態量としてアルミニウム元素の
異常値パルスの異常度の総和を求め、異常値パルスの異
常度の総和に基づき酸化アルミニウム介在物の含有率を
求めることが好ましい。Further, it is preferable to obtain the sum of the degrees of abnormality of the abnormal value pulses of the aluminum element as the state quantity of the abnormal value pulses, and to determine the content rate of aluminum oxide inclusions based on the sum of the degrees of abnormality of the abnormal value pulses.
[作用コ
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)とが共存するか、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存在により正
誤差を生じる。[The action sample contains soluble aluminum and insoluble aluminum (
(alumina inclusions) coexist, or the two exhibit different behavior in luminescence intensity. In general, the excitation efficiency of insoluble aluminum is higher than that of soluble aluminum, so the presence of insoluble aluminum causes a positive error in the PDA method.
この発明に係る綱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発光分析することが可能になる。In the optical emission spectroscopic analysis method according to the present invention, a part of the sample is melted by irradiation with an electron beam, and inclusions inside the sample are floated to the surface. It becomes possible to perform luminescence analysis.
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。If a pulse discharge is performed after the electron beam irradiation area has solidified, there will be more inclusions than other surface areas, so
A large number of outlier pulses are detected. 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、異常値パルスの状態量を把握する。この異常値
パルスの状態量は、異常値パルスの数であってもよいし
、異常値パルスの異常度の総和であってもよい。異常値
パルスの数は、下方接線の傾きを0倍した式(更に、切
片をm倍した式であってもよい)を上方接線とし、この
上方接線をしきい値として用いてこれを越えるパルスを
カウントして求める。また、異常値パルスの異常度は、
上方接線からのアルミニウム強度値の外れ方の異常さ(
異常度b / a )を求め、異常値プロット数または
異常度b / aの二次関数として不溶性アルミニウム
補正量を求める。この二次関数は、不溶性アルミニウム
量が既知の標準試料を用いて予め求めておく。これら異
常度(指数)の総和からアルミナ介在物の含有率を求め
る。Next, the state quantity of the abnormal value pulse is grasped. The state quantity of the abnormal value pulses may be the number of abnormal value pulses, or may be the sum of the degrees of abnormality of the abnormal value pulses. The number of abnormal value pulses is determined by using a formula that is the slope of the lower tangent multiplied by 0 (or a formula that multiplies the intercept by m) as the upper tangent, and using this upper tangent as a threshold value, pulses that exceed this are used as the upper tangent. Find it by counting. In addition, the degree of abnormality of the abnormal value pulse is
Abnormality in how the aluminum strength value deviates from the upper tangent (
The abnormality degree b/a) is determined, and the insoluble aluminum correction amount is determined as a quadratic function of the number of abnormal value plots or the abnormality degree b/a. This quadratic function is determined in advance using a standard sample with a known amount of insoluble aluminum. The content of alumina inclusions is determined from the sum of these abnormalities (indexes).
[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、連続鋳造溶鋼(素tM)および
精錬中の鍋内試料を発光分光分析する。連続鋳造用タン
デイツシュ内および精錬中の鍋内よりサンプリングし、
凝固後これを切断・研磨して試料を作製する。In this example, continuous casting molten steel (element tM) and a sample in the pot during refining are analyzed by emission spectroscopy. Samples were taken from inside the continuous casting tandash and the inside of the pot during refining.
After solidification, it is cut and polished to prepare 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
ームを所定時間だけ照射し、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。As shown in FIG. 1, the polished surface of the sample 3 is irradiated with an electron beam for a predetermined period of time to partially melt a predetermined volume of the sample 3, thereby forming a molten solidified portion 4.
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. 2, in the melting and solidifying section 4, the sample 3
The alumina inclusions 5 contained inside float 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、パルスアーり放電の周波数は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 pulsed earth 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が
、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が大になる)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, but in reality, there are 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 (intensity increases from left to right on the screen), and the vertical axis shows the luminescence intensity of aluminum element (intensity increases from the bottom of the screen to the top). 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、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 procedure for finding a regression line for a plot group 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] Obtain 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 obtain the average value AV of the iron intensity.
[II]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)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。[II] Extract the fifth plot from the one where the iron intensity exists in the region above the average value AV and the emission intensity of the aluminum element (hereinafter referred to as "aluminum intensity") is small, and calculate the plots of these five iron The average value FH of strength and the average value AH of aluminum strength are determined respectively.
[I[I]鉄強度が平均値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)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。[I [I] Extract the plots that exist in the region where the iron intensity is less than the average value AV and the luminescence intensity of the aluminum element (hereinafter referred to as "aluminum intensity") is the lowest, and extract these five plots. The average value FL of the iron strength and the average value AL of the aluminum strength 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)XA、+Bl −=(1
)ただし、(1)はアルミニウム強度、(Fe)は鉄強
度、A、はXYY標上における直線の傾き、B、はXY
Y標上における直線の切片をそれぞれ示す。(An))−(Fe)XA, +Bl −=(1
) However, (1) is the aluminum strength, (Fe) is the iron strength, A is the slope of the straight line at the XYY elevation, and B is the XYY
The intercepts of the straight lines on the Y mark are shown.
鉄カラム最小二乗回帰法
[I]]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]] The sum of the emission intensities of the elements (hereinafter referred to as "iron intensity") is determined, and this is divided by the number of pulses (2000) to determine 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.
鉄強度が平均値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L1〜L1゜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 L1 to L1°.
[m]]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AVI
を求める。[m]] Iron strength average value FVI and aluminum strength average value AVI of the nth plots from the lowest aluminum strength among the plots existing in 1 column L1
seek.
rlV]M2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
VIOおよびアルミニウム強度平均値AV2〜AVIO
を求める。rlV] For M2 column L2 to 10th column LIO, the iron strength average values FV2 to F are obtained by the same procedure, respectively.
VIO and aluminum strength average value AV2 ~ AVIO
seek.
[V]各シカラム代表する平均値(FVI。[V] Average value (FVI) representing each cikaram.
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。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.
(AN)−(Fe)xA2+82 ・ (2)ただし
、A2はXYY標上における直線の傾き、B2はXYY
標上における直線の切片をそれぞれ示す。(AN) - (Fe) x A2 + 82 ・ (2) However, A2 is the slope of the straight line on the XYY standard, and B2 is the XYY
Each shows the intercept of a straight line at the elevation.
回帰収斂相関係数判定法
[I]]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).
(Afり−(Fe)XA3 +83 −(3)ただし
、A、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。(Afri - (Fe)XA3 +83 - (3) where A is the slope of the straight line on the
Each shows the intercept of a straight line at the elevation. In this case,
The correlation coefficient representing the degree of dispersion of the plot group is small.
[I[]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。[I[] Discard the plot groups existing in the area above the straight line corresponding to the above equation (3), 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, Find the following equation (4).
これにより、相関係数が増大する。This increases the correlation coefficient.
(All)−(Fe)xA4+B4 −(4)ただし、
(Ail)はアルミニウム強度、(Fe)は鉄強度、A
4はXY座座上上おける直線の傾き、B4はXYY標上
における直線の切片をそれぞれ示す。(All) - (Fe) x A4 + B4 - (4) However,
(Ail) is aluminum strength, (Fe) is iron strength, A
4 indicates the slope of the straight line on the XY locus, and B4 indicates the intercept of the straight line on the XYY coordinate.
[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。[ml As described above, the correlation coefficient is increased by repeating the operations of linear regression and upward rejection, 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.
CAD )= (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。CAD ) = (Fe) Find the formula.
(A、Q)−(Fe)xA6 +86 −16)た
だし、A6はXYY標上における直線の傾き、B6はX
YY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
。(A, Q) - (Fe) x A6 +86 -16) However, A6 is the slope of the straight line on the XYY altitude, and B6 is
The intercepts of the straight lines on the YY mark are shown. In this case, the correlation coefficient representing the degree of dispersion of the plot group is small.
[I[]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。[I[] 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, Find the following equation (7).
これにより、相関係数が増大する。This increases the correlation coefficient.
(Ajl’ )−(F e)XA7 +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
。(Ajl') - (F e)XA7 +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.
[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
σ6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。[ml As described above, the correlation coefficient is increased by repeating the operations of linear regression and upward rejection, 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 σ6 is determined using the following equation (8). However, N is the number of residual plots.
σ、−Σd2/ (N−1) ・・・(8)[
IV]標準偏差σ6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が遠
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
。σ, -Σd2/ (N-1) ... (8) [
IV] Plots with a standard deviation exceeding twice the standard deviation σ6 are rejected as abnormal values, or plots with a distance d from the provisional regression line that is 10% from the farthest 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).
(AX’ )” (Fe)XAl 十Be −(9
)ただし、A、はXYY標上における最終回帰線の傾き
、B、はXYY標上における最終回帰線の切片をそれぞ
れ示す。(AX')" (Fe)XAl 1Be −(9
) However, A indicates the slope of the final regression line on the XYY elevation, and B 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).
(AfI)−(F e)XAIO+B、。−(10)た
だし、AloはXY座座上上おける直線の傾き、B、O
はXYY標上における直線の切片をそれぞれ示す。(AfI)-(Fe)XAIO+B,. -(10) However, Alo is the slope of the straight line on the XY seat, B, O
indicate the intercept of a straight line on the XYY reference plane, respectively.
[■]]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
。[■]] Discard the plot groups that exist in the area above the straight line corresponding to equation 10) 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 (11).
(Ail )−(F e)XA1+B14 − (11
)ただし、A11はXY座座上上おける直線の傾き、B
llはXYY標上における直線の切片をそれぞれ示す。(Ail)-(Fe)XA1+B14-(11
) However, A11 is the slope of the straight line on the XY seat, and B
ll indicates the intercept of a straight line on the XYY standard.
[■]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。[■] Reduce the number of residual plots by repeating the linear regression and upward rejection operations as described above. When the number of plots becomes less than a predetermined number (for example, 100), the iterative calculation is stopped and the regression line at that time is seek. This final regression line is expressed by the following equation (12).
(/l )−(F e)xA、□+B、、□−(12)
ただし、A12はXYY標上における最終回帰線の傾き
、B12はXYY標上における最終回帰線の切片をそれ
ぞれ示す。(/l)-(Fe)xA, □+B,, □-(12)
However, A12 indicates the slope of the final regression line on the XYY elevation, and B12 indicates the intercept of the final regression line on the XYY elevation.
回帰収斂パルス(プロット)敷料定異常パルス棄却法
[11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 [11 From the correlation diagram, iron strength and aluminum strength are linearly regressed by the least squares method to obtain the following equation (13).
(Aff )−(F e)XA13+ BI3 −
(13)ただし、ABBはXY座座上上おける直線の傾
き、B13はXYY標上における直線の切片をそれぞれ
示す。(Aff) - (Fe)XA13+ BI3 -
(13) However, ABB indicates the slope of the straight line on the XY locus, and B13 indicates the intercept of the straight line on the XYY base.
[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.
(Aj! )−(F e)XA14+B14 − (1
4)rただし、A、4はXYY標上における直線の傾き
、B14はXYY標上における直線の切片をそれぞれ示
す。(Aj!)-(F e)XA14+B14-(1
4) r However, A and 4 indicate the slope of the straight line on the XYY standard, and B14 indicates the intercept of the straight line on the XYY standard, respectively.
[m]]上記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σ、を求める。[m]] 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 provisional regression at that time is performed. Find the line. The distance d from the provisional regression line to each residual plot is determined, and the standard deviation σ 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).
(Aj))= (F e)xA、、+B、、−(15)
ただし、A15はXYY標上における最終回帰線の傾き
、BI5はXY座座上上おける最終回帰線の切片をそれ
ぞれ示す。(Aj))=(F e)xA,,+B,,-(15)
However, A15 indicates the slope of the final regression line on the XYY coordinate, and BI5 indicates the intercept of the final regression line on the XY locus.
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、これらの回帰線に基づき
全アルミニウム検量線を作成し、検量線から試料中の全
アルミニウム含有率を求める。Determine the regression line (lower tangent line) of the plot group using one of the six methods mentioned above, create a total aluminum calibration curve based on these regression lines, and determine the total aluminum content in the sample from the calibration curve. .
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、下記のいずれか
の方法によりアルミナ介在物を定量する場合について説
明する。Next, the above regression line (hereinafter, general formula (AN) - (Fe)
A case will be described in which alumina inclusions are quantified using one of the following methods using xA+B).
実施例1′(異常値パルス(プロット)敵側定法)[、
I ]下記(a)又は(b)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個数を求める。Example 1' (abnormal value pulse (plot) enemy side standard method) [,
I] Find the number of abnormal value pulses existing in the upper region using either method (a) or (b) below.
(a)不等式(AN )> (F e)XAXN+Bを
満足するプロット数を算出する。ただし、Nは定数とす
る。(a) Calculate the number of plots that satisfy the inequality (AN)>(F e)XAXN+B. However, N is a constant.
この不等式を満足する領域は、第3図中の直線Gより上
方領域である。The region that satisfies this inequality is the region above the straight line G in FIG.
(b)不等式(All)> (F e)XAXN十Cを
満足するプロット数を算出する。ただし、Nは定数、C
−FHXA+Bとする。(b) Calculate the number of plots that satisfy the inequality (All) > (F e) XAXN0C. However, N is a constant, C
-FHXA+B.
この不等式を満足する領域は、第4図中の直線Hより上
方領域である。The region that satisfies this inequality is the region above straight line H in FIG.
[11]上記(a)又は(b)で求めた異常値パルスの
個数nの二次関数f (n)としてアルミナ介在物量を
求める。この場合に、二次関数f (n)は、アルミナ
介在物量が既知の標準試料により予め求められたもので
ある。[11] The amount of alumina inclusions is determined as a quadratic function f (n) of the number n of abnormal value pulses determined in (a) or (b) above. In this case, the quadratic function f (n) is determined in advance from a standard sample with a known amount of alumina inclusions.
第5図は、横軸にサンド分析法で正確に定量分析したア
ルミナ介在物の分析値(ppm、)をとり、縦軸に異常
値パルス数測定法で検量したアルミナ介在物の分析値(
ppIll)をとって、上記実施例の分析精度を調べて
プロットしたグラフ図である。In Figure 5, the horizontal axis shows the analytical value (ppm) of alumina inclusions that was accurately quantitatively analyzed using the Sandoz analysis method, and the vertical axis shows the analytical value (ppm) of alumina inclusions that was calibrated using the abnormal value pulse number measurement method.
It is a graph diagram obtained by examining and plotting the analysis accuracy of the above example by taking the data (ppIll).
両者とも同一の試料(サンプル数9個)につき調査した
。その結果、両者はよく一致しており、繰り返し精度σ
Mは3.4ppmとなり、この分析方法が高い再現精度
および正確さを有していることか判明した。In both cases, the same sample (nine samples) was investigated. As a result, the two agree well, and the repeatability σ
M was 3.4 ppm, proving that this analytical method has high reproducibility and accuracy.
上記の異常値パルス数測定法によれば、分析開始から終
了までの所要時間は約15秒間であり、試料調整(エレ
クトロンビーム溶解)時間を含めても約1時間とアルミ
ナ介在物の定量分析の迅速化の要請に十分に応えること
かできる。According to the abnormal value pulse number measurement method described above, the time required from the start to the end of the analysis is approximately 15 seconds, and even including sample preparation (electron beam dissolution) time, it is approximately 1 hour, which is the time required for quantitative analysis of alumina inclusions. It is possible to sufficiently respond to requests for speeding up.
実施例2(異常値パルス異常度測定法)[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 2 (Abnormal value pulse abnormality degree measuring method) [I] The threshold value of the abnormal value pulse existing in the upper region is determined by either method (1) or (2) below.
■等式(A11)= (Fe)xAxN+Bを求める。■ Find equation (A11)=(Fe)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 according to the degree of abnormality b/a. Abnormality level b/a
is determined by the following equation (16).
b/a−Σ ”+−+[(AN)−1(Fe)x ^X
N+ BlコバFe)・・・(16)
ただし、i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 ”+-+[(AN)-1(Fe)x ^X
N+BlCobaFe) (16) However, for i, only the abnormal value pulses existing in the region above the straight line G are added.
■等式(1)−(Fe)xAxN+Cを求める。(2) Find equation (1)-(Fe)xAxN+C.
但し、Nは定数、C−FHxA十Bとする。、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。However, N is a constant, C-FH x A and B. , the above equation is shown by the 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. The abnormality level b/a is as follows (
17) Calculate using formula.
b/a−Σ”、−、[(A1)) −f(Fe) X
Ax N+ CI ]/(Fe)・・・ (17)
たたし、l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", -, [(A1)) -f(Fe) X
Ax N+ CI]/(Fe)... (17) Here, l is assumed to add only the abnormal value pulses existing in the region above the straight line H.
[11]異常度b / aの二次関数f(b/a)とし
てアルミナ介在物量を求める。この場合に、二次関数f
(b/a)は、アルミナ介在物量が既知の標準試料によ
り予め求められたものである。[11] Obtain the amount of alumina inclusions as a quadratic function f(b/a) of the degree of abnormality b/a. In this case, the quadratic function f
(b/a) was determined in advance from a standard sample with a known amount of alumina inclusions.
上記の異常値パルス異常度測定法によれば、分析開始か
ら終了までの所要時間は約15秒間であり、試料調整(
エレクトロンビーム溶解)時間を含めても約1時間と、
アルミナ介在物の定量分析の迅速化の要請に十分に応え
ることができる。According to the above abnormal value pulse abnormality measurement method, the time required from the start to the end of analysis is approximately 15 seconds, and sample preparation (
It takes about 1 hour including electron beam melting time.
This can fully meet the demand for rapid quantitative analysis of alumina inclusions.
[発明の効果]
この発明によれば、鋼中の介在物量を高精度に定量分析
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ができ、従来法
より迅速に分析結果を得ることができる。[Effects of the Invention] According to the present invention, the amount of inclusions in steel can be quantitatively analyzed 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.
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、第1実施例である異常値パ
ルス数測定法および第2実施例である異常値パルス異常
度測定法を説明するための図、第5図は異常値パルス数
測定法の効果を説明するために分析結果のばらつきを示
すグラフ図である。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 is a diagram for explaining the method for measuring the number of abnormal value pulses according to the first embodiment and the method for measuring the abnormality degree of abnormal value pulses according to the second embodiment, and FIG. 5 is for explaining the effect of the method for measuring the number of abnormal value pulses. FIG. 2 is a graph diagram showing variations in analysis results.
Claims (3)
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
異常値パルスの状態量を把握し、この異常値パルスの状
態量を用いて分析対象元素を含む介在物の含有率を求め
ることを特徴とする鋼の発光分光分析方法。(1) A part of the sample is melted by irradiation with an electron beam, the inclusions contained in the sample are floated to the sample surface, and after solidification, this is subjected to emission analysis. The emission intensity of each spectroscopic spectral line is detected, and the correlation between the emission intensity of the iron element and the emission intensity of the analyte element is determined using a statistical method for the detected emission intensity, and from this correlation, the analyte element in the sample is determined. A method for optical emission spectrometry analysis of steel, characterized in that the state quantity of an abnormal value pulse is determined, and the content rate of inclusions containing an analysis target element is determined using the state quantity of the abnormal value pulse.
異常値パルスの数を求め、異常値パルスの数に基づき酸
化アルミニウム介在物の含有率を求めることを特徴とす
る請求項1記載の鋼の発光分光分析方法。(2) The light emission of the steel according to claim 1, characterized in that the number of abnormal value pulses of aluminum element is determined as the state quantity of the abnormal value pulses, and the content rate of aluminum oxide inclusions is determined based on the number of abnormal value pulses. Spectroscopic analysis method.
異常値パルスの異常度の総和を求め、異常値パルスの異
常度の総和に基づき酸化アルミニウム介在物の含有率を
求めることを特徴とする請求項1記載の鋼の発光分光分
析方法。(3) A claim characterized in that the sum of the degrees of abnormality of the abnormal value pulses of aluminum element is determined as the state quantity of the abnormal value pulses, and the content rate of aluminum oxide inclusions is determined based on the sum of the degrees of abnormality of the abnormal value pulses. 1. The method for optical emission spectroscopic analysis of steel according to 1.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP10519490A JPH045551A (en) | 1990-04-23 | 1990-04-23 | Emission spectrochemical analysis of steel |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP10519490A JPH045551A (en) | 1990-04-23 | 1990-04-23 | Emission spectrochemical analysis of steel |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| JPH045551A true JPH045551A (en) | 1992-01-09 |
Family
ID=14400865
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP10519490A Pending JPH045551A (en) | 1990-04-23 | 1990-04-23 | Emission spectrochemical analysis of steel |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JPH045551A (en) |
-
1990
- 1990-04-23 JP JP10519490A patent/JPH045551A/en active Pending
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