CN114166777A - Near infrared spectrum influence factor correction method for insulating paper - Google Patents

Near infrared spectrum influence factor correction method for insulating paper Download PDF

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CN114166777A
CN114166777A CN202111450777.4A CN202111450777A CN114166777A CN 114166777 A CN114166777 A CN 114166777A CN 202111450777 A CN202111450777 A CN 202111450777A CN 114166777 A CN114166777 A CN 114166777A
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matrix
oil
insulating paper
interference
spectral data
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CN114166777B (en
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陈晓琳
陈林聪
李欣然
符小桃
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Electric Power Research Institute of Hainan Power Grid Co Ltd
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N21/00Investigating or analysing materials by the use of optical means, i.e. using sub-millimetre waves, infrared, visible or ultraviolet light
    • G01N21/17Systems in which incident light is modified in accordance with the properties of the material investigated
    • G01N21/25Colour; Spectral properties, i.e. comparison of effect of material on the light at two or more different wavelengths or wavelength bands
    • G01N21/31Investigating relative effect of material at wavelengths characteristic of specific elements or molecules, e.g. atomic absorption spectrometry
    • G01N21/35Investigating relative effect of material at wavelengths characteristic of specific elements or molecules, e.g. atomic absorption spectrometry using infrared light
    • G01N21/3563Investigating relative effect of material at wavelengths characteristic of specific elements or molecules, e.g. atomic absorption spectrometry using infrared light for analysing solids; Preparation of samples therefor
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N21/00Investigating or analysing materials by the use of optical means, i.e. using sub-millimetre waves, infrared, visible or ultraviolet light
    • G01N21/17Systems in which incident light is modified in accordance with the properties of the material investigated
    • G01N21/25Colour; Spectral properties, i.e. comparison of effect of material on the light at two or more different wavelengths or wavelength bands
    • G01N21/31Investigating relative effect of material at wavelengths characteristic of specific elements or molecules, e.g. atomic absorption spectrometry
    • G01N21/35Investigating relative effect of material at wavelengths characteristic of specific elements or molecules, e.g. atomic absorption spectrometry using infrared light
    • G01N21/359Investigating relative effect of material at wavelengths characteristic of specific elements or molecules, e.g. atomic absorption spectrometry using infrared light using near infrared light

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Abstract

The invention provides a method for correcting near infrared spectrum influence factors of insulating paper, which comprises the following steps: acquiring first spectral data x of a first insulating paper sample0Second spectral data y of a second insulation paper sample0And third spectral data x of a third insulation paper sample1(ii) a Based on the first spectral data x0Third spectral data x1Obtaining a difference matrix D1Based on the second spectral data y0Third spectral data x1Obtaining a difference matrix D2(ii) a Based on a difference matrix D1Obtaining a principal component matrix G1Based on a difference matrix D2Obtaining a principal component matrix G2(ii) a Based on principal component matrix G1Obtaining an oil interference resistance matrix P _ oil based on the principal component matrix G2Obtaining a moisture interference resistant matrix P _ motion; using the oil-resistant matrix P _ oil and the moisture-resistant matrix P _ motion to the insulation patternThe near infrared spectrum of the product is corrected.

Description

Near infrared spectrum influence factor correction method for insulating paper
Technical Field
The invention relates to the technical field of insulation paper detection, in particular to a near infrared spectrum influence factor correction method for insulation paper.
Background
The presence of insulating oil and moisture affects the spectrum of the insulating paper, and includes large variations in the position, width, peak value, etc. of characteristic peaks, and the degree of the variations may be related to the contents of insulating oil and water. In order to ensure the prediction accuracy of the polymerization degree of the insulating paper, the influence of the water content and the oil content on the near infrared spectrum of the insulating paper needs to be analyzed. The existing treatment method is to remove oil by a physical or chemical method during field test, and the method greatly reduces the technical advantages of rapidness, convenience and no damage of a near infrared spectrum detection method and is not suitable for development of field experiments.
Disclosure of Invention
The invention aims to provide a method for correcting near infrared spectrum influence factors of insulating paper, so as to solve the problems in the background technology.
The invention is realized by the following technical scheme: a method for correcting near infrared spectrum influence factors for insulating paper comprises the following steps:
preparing a first insulating paper sample with different oil contents, a second insulating paper sample with different water contents and a third insulating paper sample in a dry state, and respectively performing near infrared spectrum detection on the first insulating paper sample, the second insulating paper sample and the third insulating paper sample;
acquiring first spectral data x of a first insulating paper sample0Second spectral data y of a second insulation paper sample0And third spectral data x of a third insulation paper sample1
Based on the first spectral data x0Third spectral data x1Obtaining a difference matrix D1Based on the second spectral data y0Third spectral data x1Obtaining a difference matrix D2
Based on a difference matrix D1Obtaining a principal component matrix G1Based on a difference matrix D2Obtaining a principal component matrix G2
Based on principal component matrix G1Obtaining an oil-interference-resistance matrix P _ oil based onPrincipal component matrix G2Obtaining a moisture interference resistant matrix P _ motion;
the near infrared spectrum of the insulating paper sample was corrected using an oil interference matrix P _ oil and a moisture interference matrix P _ motion.
Optionally, the first spectral data x0Third spectral data x1Obtaining a difference matrix D1The method specifically comprises the following steps: calculating the difference matrix D by1
Figure BDA0003382382900000021
In the formula, xnpIs the third spectral data x1Of any one data value, x0pIs the first spectral data x0Any of the data values in (1).
Optionally, based on the second spectral data y0Third spectral data x1Obtaining a difference matrix D2The method specifically comprises the following steps:
Figure BDA0003382382900000022
in the formula, xnpIs the third spectral data x1Of any one of the data values, y0pIs the second spectral data y0Any of the data values in (1).
Optionally, the difference matrix D1Obtaining a principal component matrix G1The method specifically comprises the following steps:
the symmetric matrix S is obtained by the following calculation1
S1=D1 TD1
Calculating the matrix S1Of the covariance matrix V1Solving said covariance matrix V1Selecting the characteristic value with the largest value and the characteristic vector thereof to calculate a first principal component; sorting according to the numerical value sequence of the eigenvalues, and calculating according to the principle that corresponding eigenvectors are orthogonal to each other to obtain the covariance matrix V1Rest of (2)And (5) feature value. The first three eigenvectors are taken to form an eigenvector matrix G1
Optionally based on a difference matrix D2Obtaining a principal component matrix G2The method specifically comprises the following steps:
the symmetric matrix S is obtained by the following calculation2
S2=D2 TD2
Calculating the matrix S2Of the covariance matrix V2Solving said covariance matrix V2Selecting the characteristic value with the largest value and the characteristic vector thereof to calculate a first principal component; sorting according to the numerical value sequence of the eigenvalues, and calculating according to the principle that corresponding eigenvectors are orthogonal to each other to obtain the covariance matrix V2The remaining characteristic values of (a). The first three eigenvectors are taken to form an eigenvector matrix G2
Optionally, based on the principal component matrix G1Obtaining an oil interference resistance matrix P _ oil, which specifically comprises:
based on principal component matrix G1Obtaining an oil quantity influence matrix Q1
Figure BDA0003382382900000031
By influencing the matrix Q of the oil quantity1And (3) calculating to obtain an oil interference resistance matrix P _ oil:
P_oil=I-Q1
in the formula, I is an identity matrix.
Optionally, the principal component matrix G is based on2Obtaining a moisture interference resistance matrix P _ motion, which specifically comprises the following steps:
based on principal component matrix G1Obtaining a moisture influence matrix Q2
Figure BDA0003382382900000032
By influencing the matrix Q of the oil quantity2Calculating to obtain a moisture interference resisting matrix P _ mobility;
P_moisture=I-G
in the formula, I is an identity matrix.
Optionally, the correcting the near infrared spectrum of the insulation paper sample by using the oil interference resistant matrix P _ oil specifically includes: and acquiring a spectrum matrix x of any insulating paper, and multiplying the spectrum matrix x by the oil interference resistant matrix P _ oil to remove the oil interference.
Optionally, the method for correcting the near infrared spectrum of the insulating paper sample by using the moisture interference resistant matrix P _ motion specifically includes: and the interference of water can be removed by multiplying the spectrum matrix x by the water-resistant interference matrix P _ motion.
Optionally, the near infrared spectrum of the insulating paper sample is corrected by using an oil interference resistant matrix P _ oil and a moisture interference resistant matrix P _ motion, and the method specifically includes: and the spectrum matrix x is multiplied by the moisture-resistant interference matrix P _ motion and the oil-resistant interference matrix P _ oil in sequence to remove the interference of water.
Compared with the prior art, the invention has the following beneficial effects:
according to the method for correcting the influence factors of the near infrared spectrum of the insulating paper, provided by the invention, the spectrum data of the insulating paper sample under various conditions are mapped to the space orthogonal to the interference components to remove the interference items, so that an oil interference resistant matrix and a moisture interference resistant matrix are obtained, the quick correction of the influence factors of the near infrared spectrum is realized through the oil interference resistant matrix and the moisture interference resistant matrix, and the experiment efficiency is greatly improved.
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In order to more clearly illustrate the technical solutions in the embodiments of the present invention, the drawings needed to be used in the description of the embodiments will be briefly introduced below, and it is obvious that the drawings in the following description are only preferred embodiments of the present invention, and it is obvious for those skilled in the art that other drawings can be obtained according to these drawings without inventive exercise.
FIG. 1 is a flow chart of a method for correcting near infrared spectrum influence factors of insulating paper provided by the invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, exemplary embodiments according to the present invention will be described in detail below with reference to the accompanying drawings. It is to be understood that the described embodiments are merely a subset of embodiments of the invention and not all embodiments of the invention, with the understanding that the invention is not limited to the example embodiments described herein. All other embodiments, which can be derived by a person skilled in the art from the embodiments of the invention described herein without inventive step, shall fall within the scope of protection of the invention.
In the following description, numerous specific details are set forth in order to provide a more thorough understanding of the present invention. It will be apparent, however, to one skilled in the art, that the present invention may be practiced without one or more of these specific details. In other instances, well-known features have not been described in order to avoid obscuring the invention.
It is to be understood that the present invention may be embodied in many different forms and should not be construed as limited to the embodiments set forth herein. Rather, these embodiments are provided so that this disclosure will be thorough and complete, and will fully convey the scope of the invention to those skilled in the art.
The terminology used herein is for the purpose of describing particular embodiments only and is not intended to be limiting of the invention. As used herein, the singular forms "a", "an" and "the" are intended to include the plural forms as well, unless the context clearly indicates otherwise. It will be further understood that the terms "comprises" and/or "comprising," when used in this specification, specify the presence of stated features, integers, steps, operations, elements, and/or components, but do not preclude the presence or addition of one or more other features, integers, steps, operations, elements, components, and/or groups thereof. As used herein, the term "and/or" includes any and all combinations of the associated listed items.
In order to provide a thorough understanding of the present invention, a detailed structure will be set forth in the following description in order to explain the present invention. Alternative embodiments of the invention are described in detail below, however, the invention may be practiced in other embodiments that depart from these specific details.
Referring to fig. 1, a method for correcting near infrared spectrum influence factors for insulating paper includes the following steps:
s1, preparing a first insulating paper sample with different oil contents, a second insulating paper sample with different water contents and a third insulating paper sample in a dry state, and respectively carrying out near infrared spectrum detection on the first insulating paper sample, the second insulating paper sample and the third insulating paper sample;
in the embodiment of the invention, an insulating paper sample is cut into 200mm × 2mm paper slips, the sample quality is recorded, oil immersion treatment is carried out on the sample to obtain a plurality of first insulating paper samples with different oil contents, and similarly, insulating paper with natural moisture absorption of 48h is prepared as a sample a; preparing insulating paper dried for 48 hours at 105 ℃ as a sample a; preparing insulating paper humidified for 1s as a sample c, and preparing insulating paper humidified for 2s as a sample d; preparing insulating paper which is humidified for 3s as a sample e; an insulating paper of humidified 4s was prepared as a sample f, and the above samples a to f thereof were used as second insulating paper samples.
S2, respectively scanning the first insulation paper sample, the second insulation paper sample and the third insulation paper sample by adopting a near-infrared spectrometer to obtain first spectral data x of the first insulation paper sample0Second spectral data y of a second insulation paper sample0And third spectral data x of a third insulation paper sample1
S3 based on the first spectral data x0Third spectral data x1Obtaining a difference matrix D1Based on the second spectral data y0Third spectral data x1Obtaining a difference matrix D2
The first spectral data x0Third spectral data x1Obtaining a difference matrix D1The method specifically comprises the following steps: calculating the difference matrix D by1
Figure BDA0003382382900000061
In the formula, xnpIs the third spectral data x1Of any one data value, x0pIs the first spectral data y0Any of the data values in (1).
Optionally, based on the second spectral data y0Third spectral data x1Obtaining a difference matrix D2The method specifically comprises the following steps:
Figure BDA0003382382900000062
in the formula, xnpIs the third spectral data x1Of any one of the data values, y0pIs the second spectral data y0Any of the data values in (1).
S4 based on difference matrix D1Obtaining a principal component matrix G1Based on a difference matrix D2Obtaining a principal component matrix G2
The symmetric matrix S is obtained by the following calculation1
S1=D1 TD1
Calculating the matrix S1Of the covariance matrix V1Solving said covariance matrix V1Selecting the characteristic value with the largest value and the characteristic vector thereof to calculate a first principal component; sorting according to the numerical value sequence of the eigenvalues, and calculating according to the principle that corresponding eigenvectors are orthogonal to each other to obtain the covariance matrix V1The remaining characteristic values of (a).
The first three eigenvectors are taken to form an eigenvector matrix 11
Similarly, the symmetric matrix S is obtained by the following calculation2
S2=D2 TD2
Calculating the matrix S2Of the covariance matrix V2Solving said covariance matrix V2Selecting the characteristic value with the largest value and calculating the first characteristic vectorA main component; sorting according to the numerical value sequence of the eigenvalues, and calculating according to the principle that corresponding eigenvectors are orthogonal to each other to obtain the covariance matrix V2The remaining characteristic values of (a). The first three eigenvectors are taken to form an eigenvector matrix G2
S5 based on principal component matrix G1Obtaining an oil interference resistance matrix P _ oil based on the principal component matrix G2Obtaining a moisture interference resistant matrix P _ motion;
in particular, based on the principal component matrix G1Obtaining an oil quantity influence matrix Q1
Figure BDA0003382382900000071
By influencing the matrix Q of the oil quantity1And (3) calculating to obtain an oil interference resistance matrix P _ oil:
P_oil=I-Q1
optionally, the principal component matrix G is based on2Obtaining a moisture interference resistance matrix P _ motion, which specifically comprises the following steps:
based on principal component matrix G1Obtaining a moisture influence matrix Q2
Figure BDA0003382382900000072
By influencing the matrix Q of the oil quantity2And (3) calculating to obtain an anti-moisture interference matrix P _ motion:
P_moisture=I-Q2
and S6, correcting the near infrared spectrum of the insulating paper sample by using an oil interference resistant matrix P _ oil and a moisture interference resistant matrix P _ motion.
In the embodiment of the invention, when the near infrared spectrum is corrected, firstly, the spectrum matrix x of any insulating paper is obtained, and the interference of oil can be removed by multiplying the spectrum matrix x by the oil interference resistant matrix P _ oil.
Further, the method for correcting the near infrared spectrum of the insulating paper sample by using the moisture interference resistant matrix P _ motion specifically comprises the following steps: and the interference of water can be removed by multiplying the spectrum matrix x by the water-resistant interference matrix P _ motion.
Optionally, the near infrared spectrum of the insulating paper sample is corrected by using an oil interference resistant matrix P _ oil and a moisture interference resistant matrix P _ motion, and the method specifically includes: and the spectrum matrix x is multiplied by the moisture-resistant interference matrix P _ motion and the oil-resistant interference matrix P _ oil in sequence to remove the interference of water.
The above description is only for the purpose of illustrating the preferred embodiments of the present invention and is not to be construed as limiting the invention, and any modifications, equivalents, improvements and the like made within the spirit and principle of the present invention should be included in the scope of the present invention.

Claims (10)

1. A method for correcting near infrared spectrum influence factors for insulating paper is characterized by comprising the following steps:
preparing a first insulating paper sample with different oil contents, a second insulating paper sample with different water contents and a third insulating paper sample in a dry state, and respectively performing near infrared spectrum detection on the first insulating paper sample, the second insulating paper sample and the third insulating paper sample;
acquiring first spectral data x of a first insulating paper sample0Second spectral data y of a second insulation paper sample0And third spectral data x of a third insulation paper sample1
Based on the first spectral data x0Third spectral data x1Obtaining a difference matrix D1Based on the second spectral data y0Third spectral data x1Obtaining a difference matrix D2
Based on a difference matrix D1Obtaining a principal component matrix G1Based on a difference matrix D2Obtaining a principal component matrix G2
Based on principal component matrix G1Obtaining an oil interference resistance matrix P _ oil based on the principal component matrix G2Obtaining a moisture interference resistant matrix P _ motion;
the near infrared spectrum of the insulating paper sample was corrected using an oil interference matrix P _ oil and a moisture interference matrix P _ motion.
2. Method for correcting influences of near infrared spectrum for insulating paper according to claim 1, characterized in that said first spectral data x0Third spectral data x1Obtaining a difference matrix D1The method specifically comprises the following steps: calculating the difference matrix D by1
Figure FDA0003382382890000011
In the formula, xnpIs the third spectral data x1Of any one data value, x0pIs the first spectral data x0Any of the data values in (1).
3. The method of claim 2, wherein the correction of the influence factors is based on the second spectral data y0Third spectral data x1Obtaining a difference matrix D2The method specifically comprises the following steps:
Figure FDA0003382382890000021
in the formula, xnpIs the third spectral data x1Of any one of the data values, y0pIs the second spectral data y0Any of the data values in (1).
4. The method according to claim 3, wherein the correction method is based on a difference matrix D1Obtaining a principal component matrix G1The method specifically comprises the following steps:
the symmetric matrix S is obtained by the following calculation1
S1=D1 TD1
Calculating momentsArray S1Of the covariance matrix V1Solving said covariance matrix V1Selecting the characteristic value with the largest value and the characteristic vector thereof to calculate a first principal component; sorting according to the numerical value sequence of the eigenvalues, and calculating according to the principle that corresponding eigenvectors are orthogonal to each other to obtain the covariance matrix V1The remaining characteristic values of (a). The first three eigenvectors are taken to form an eigenvector matrix G1
5. The method for correcting the influence factors of the near infrared spectrum of the insulating paper according to claim 4, wherein the method is based on a difference matrix D2Obtaining a principal component matrix G2The method specifically comprises the following steps:
the symmetric matrix S is obtained by the following calculation2
S2=D2 TD2
Calculating the matrix S2Of the covariance matrix V2Solving said covariance matrix V2Selecting the characteristic value with the largest value and the characteristic vector thereof to calculate a first principal component; sorting according to the numerical value sequence of the eigenvalues, and calculating according to the principle that corresponding eigenvectors are orthogonal to each other to obtain the covariance matrix V2The remaining characteristic values of (a). The first three eigenvectors are taken to form an eigenvector matrix G2
6. The method of claim 5, wherein the correction of the near infrared spectrum influencing factor is based on a principal component matrix G1Obtaining an oil interference resistance matrix P _ oil, which specifically comprises:
based on principal component matrix G1Obtaining an oil quantity influence matrix Q1
Figure FDA0003382382890000031
By influencing the matrix Q of the oil quantity1And (3) calculating to obtain an oil interference resistance matrix P _ oil:
P_oil=I-Q1
in the formula, I is an identity matrix.
7. The method as claimed in claim 6, wherein the principal component matrix G is a principal component matrix2Obtaining a moisture interference resistance matrix P _ motion, which specifically comprises the following steps:
based on principal component matrix G1Obtaining a moisture influence matrix Q2
Figure FDA0003382382890000032
By influencing the matrix Q of the oil quantity2And (3) calculating to obtain an anti-moisture interference matrix P _ motion:
P_moisture=I-Q2
in the formula, I is an identity matrix.
8. The method for correcting the influence factor of the near infrared spectrum of the insulating paper as claimed in claim 7, wherein the correction of the near infrared spectrum of the insulating paper sample by using the oil interference resistant matrix P _ oil specifically comprises: and acquiring a spectrum matrix x of any insulating paper, and multiplying the spectrum matrix x by the oil interference resistant matrix P _ oil to remove the oil interference.
9. The method for correcting the influence factors of the near infrared spectrum of the insulating paper according to claim 8, wherein the correction of the near infrared spectrum of the insulating paper sample by using the moisture interference matrix P _ motion specifically comprises the following steps: and the interference of water can be removed by multiplying the spectrum matrix x by the water-resistant interference matrix P _ motion.
10. The method for correcting the influence factors of the near infrared spectrum of the insulating paper as claimed in claim 9, wherein the correction of the near infrared spectrum of the insulating paper sample by using an oil interference resistant matrix P _ oil and a moisture interference resistant matrix P _ mobility specifically comprises: and the spectrum matrix x is multiplied by the moisture-resistant interference matrix P _ motion and the oil-resistant interference matrix P _ oil in sequence to remove the interference of water.
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CN111999261A (en) * 2020-09-30 2020-11-27 海南电网有限责任公司电力科学研究院 Near infrared spectrum noise data processing method for insulation paper aging evaluation
CN113447452A (en) * 2021-06-29 2021-09-28 西安交通大学 Method and system for correcting moisture influence factors of insulating paper spectrum

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US3655427A (en) * 1969-10-28 1972-04-11 Parker Pen Co Correctable graphic system
US4260664A (en) * 1978-11-27 1981-04-07 Columbia Ribbon & Carbon Mfg. Co., Inc. Transfer elements and process
JP2012204032A (en) * 2011-03-24 2012-10-22 Ngk Insulators Ltd Inter-layer deviation prevention tool for oil-immersed paper capacitor core, and oil-immersed paper capacitor bushing
CN103029473A (en) * 2012-12-27 2013-04-10 山东泰宝防伪制品有限公司 Printing process for realizing local press finishing effect
US20160033394A1 (en) * 2014-07-30 2016-02-04 Smiths Detection Inc. Estimation of water interference for spectral correction
CN105372531A (en) * 2015-11-25 2016-03-02 国家电网公司 Transformer insulation thermal aging parameter correlation calculation method based on Weibull distribution model
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CN113447452A (en) * 2021-06-29 2021-09-28 西安交通大学 Method and system for correcting moisture influence factors of insulating paper spectrum

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