CN110084504A - The comprehensive wire examination method of power plant based on Principal Component Analysis - Google Patents

The comprehensive wire examination method of power plant based on Principal Component Analysis Download PDF

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CN110084504A
CN110084504A CN201910323924.8A CN201910323924A CN110084504A CN 110084504 A CN110084504 A CN 110084504A CN 201910323924 A CN201910323924 A CN 201910323924A CN 110084504 A CN110084504 A CN 110084504A
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和识之
张昆
白培林
林庆标
卢伟辉
宋兴光
王皓怀
刘恺
赵玉柱
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China Southern Power Grid Co Ltd
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Abstract

The comprehensive wire examination method of a kind of power plant based on Principal Component Analysis provided by the invention, comprising steps of S1: each original performance assessment criteria result of n power plant to be examined being carried out linear combination, obtains original linear matrix X；S2: original linear matrix X is standardized, normalized matrix Z is obtained；S3: correlation matrix R is calculated according to normalized matrix Z；S4: the characteristic root and feature vector of R are calculated；S5: the variance contribution ratio and cumulative proportion in ANOVA of each principal component are calculated, eigenvectors matrix U is obtained；S6: calculating new principal component, obtains new principal component matrix Y；S7: the comprehensive examination score of each power plant is calculated；The present invention uses Principal Component Analysis, it is operated by " dimensionality reduction ", find out the main affecting factors of examination power plant, and the variance contribution ratio based on principal component calculates the weight coefficient of each principal component, the overall target score of power plant is calculated according to comprehensive evaluation model, to carry out comprehensive examination to power plant's overall condition.

Description

The comprehensive wire examination method of power plant based on Principal Component Analysis
Technical field
The present invention relates to electric power to evaluate field, and in particular to a kind of comprehensive examination side, the power plant based on Principal Component Analysis Method.
Background technique
In order to carry out specialty evaluation to be incorporated into the power networks management and ancillary service management of power plant, power plant is promoted actively to optimize unit It relates to net regulation performance, operation and management level is continuously improved, frequency modulation, peak regulation, pressure regulation and every ancillary service such as spare are actively provided, Electric energy frequency and voltage operating index are greatly improved, to ensure that south electric network is safe, high-quality, economical operation lays the foundation.Country South Supervision Bureau, Bureau of Energy organizes units concerned to print and distribute " southern region " two detailed rules and regulations " (version in 2017) ", and (south prison can market [2017] No. 440), including " being incorporated into the power networks management implementation detailed rules and regulations (2017 editions) in southern region power plant ", " the southern grid-connected hair in region Power plant's ancillary service management implementation detailed rules and regulations (2017 editions) ", " southern region wind power plant is incorporated into the power networks and ancillary service management is real Apply detailed rules and regulations (2017 editions) ", " southern region photovoltaic electric station grid connection operation and ancillary service management implementation detailed rules and regulations (tentative) ", " south Region electrochemical energy storage electric station grid connection operational management and ancillary service detailed rules for the implementation (tentative) " etc. files.Wherein, it is specified that about " safety management examination ", " dispatch discipline examination ", " black starting-up examination ", " generation schedule examination ", " primary frequency modulation examination " is " non- Planned outage examination ", " AGC examination ", " peak regulation examination ", " fuel early warning examination ", " busbar voltage examination ", " management and running are examined Core ", " overhaul management examination ", " AVC examination ", various performance assessment criteria such as " technological guidance and management evaluation ".However, due to Performance assessment criteria is more, and there are certain correlations between every performance assessment criteria, and whole comprehensive examination can not be made to power plant.
Therefore, it needs a kind of comprehensive wire examination method of reasonable power plant to be proposed, to the totality of power plant based on all kinds of performance assessment criteria Situation makes evaluation.
Summary of the invention
In view of this, the object of the present invention is to provide a kind of, the power plant based on Principal Component Analysis integrates wire examination method, adopts It with Principal Component Analysis, is operated by " dimensionality reduction ", finds out the main affecting factors of examination power plant, and the variance tribute based on principal component The rate of offering calculates the weight coefficient of each principal component, the overall target score of power plant is calculated according to comprehensive evaluation model, thus to power plant Overall condition carries out comprehensive examination.
The present invention provides a kind of comprehensive wire examination method of the power plant based on Principal Component Analysis, comprising steps of
S1: each original performance assessment criteria result of n power plant to be examined is subjected to linear combination, obtains original linear matrix X, the expression formula of the X are as follows:
Wherein, xijIndicate the original performance assessment criteria of jth item of i-th of power plant as a result, 1≤i≤n, 1≤j≤m；M indicates shared M original performance assessment criteria；
S2: original linear matrix X is standardized, normalized matrix Z is obtained；
S3: correlation matrix R is calculated according to normalized matrix Z；
S4: the characteristic root and feature vector of R are calculated；
S5: calculating the variance contribution ratio and cumulative proportion in ANOVA of each principal component, and chooses accumulation contribution rate to 85% Above corresponding feature vector (u of preceding q characteristic roots1,u2..., uq) composition characteristic vector matrix U, wherein q≤m；
S6: calculating new principal component, obtains new principal component matrix Y；
S7: using the respective variance contribution ratio of q principal component as flexible strategy, q principal component performance assessment criteria being weighted and averaged, Obtain the comprehensive examination score of each power plant.
Further, the comprehensive examination of i-th of power plant obtains F in the step S7iCalculation formula are as follows:
Wherein, λjIndicate j-th of characteristic root, yijIndicate j-th of new principal component index result of the i-th power plant.
Further, formula original linear matrix X being standardized in the step S2 are as follows:
Wherein, zijI-th of power plant, j-th of performance assessment criteria is as a result, in i.e. normalized matrix Z after indicating normalized processing The element of i row jth column；For the arithmetic mean of instantaneous value of j-th of original performance assessment criteria, i.e. jth column element in original linear matrix X Arithmetic mean of instantaneous value；σjFor the standard deviation of j-th of original performance assessment criteria, i.e. the standard of jth column element in original linear matrix X Difference；The expression formula of the normalized matrix Z is Z=(zij)n×m。
Further, the calculation formula of the correlation matrix R are as follows:
Wherein, n indicates a shared n power plant to be examined.
Further, the step S4 is specifically included:
Firstly, solution characteristic equation | R- λ I |=0, obtain characteristic root λj, j=1,2 ..., m, and the feature that will be obtained Root is arranged according to sequence from big to small, i.e. λ1> λ2> ... > λj> ... > λm, wherein λjAfter expression sorts from large to small J-th of characteristic root；
Then, by λjBring proper polynomial Ru intoj=λjujλ is calculatedjCorresponding feature vector uj。
Further, in the step S5 variance contribution ratio of each principal component calculation formula are as follows:
Wherein, αkIndicate λkThe variance contribution ratio of corresponding principal component, the λkIndicate that treated the through step S4 sequence K characteristic root；
The calculation formula of the cumulative proportion in ANOVA of each principal component are as follows:
Wherein, SkIndicate λkThe accumulation contribution rate of corresponding principal component.
Further, in principal component matrix Y new in the step S6 each column element calculation formula are as follows:
y(i)=UTx(i) (7)
Wherein, x(i)Indicate the original performance assessment criteria of i-th of power plant as a result, x(i)=[xi1xi2…xim], y(i)It indicates newly I-th column element in principal component matrix Y；The expression formula of the matrix Y are as follows:
Further, each original performance assessment criteria of the power plant includes: safety management examination, dispatch discipline examination, black starting-up Examination, generation schedule examination, primary frequency modulation examination, unplanned outage examination, AGC examination, peak regulation examination, fuel early warning examination, Busbar voltage examination, management and running examination, overhaul management examination, AVC examination, technological guidance and management evaluation.
Beneficial effects of the present invention: the present invention uses Principal Component Analysis, is operated by " dimensionality reduction ", finds out examination power plant Main affecting factors realize that multiple performance assessment criteria are converted into a small number of evaluation indexes, drop performance assessment criteria data complexity much It is low, and the variance contribution ratio based on principal component calculates the weight coefficient of each principal component, calculates power plant according to comprehensive evaluation model Overall target score, to carry out comprehensive examination to power plant's overall condition.
Detailed description of the invention
The invention will be further described with reference to the accompanying drawings and examples:
Fig. 1 is flow diagram of the invention.
Specific embodiment
As shown in Figure 1, the comprehensive wire examination method of a kind of power plant based on Principal Component Analysis provided by the invention, including step It is rapid:
S1: each original performance assessment criteria result of n power plant to be examined is subjected to linear combination, obtains original linear matrix X, the expression formula of the X are as follows:
Wherein, xijIndicate the original performance assessment criteria of jth item of i-th of power plant as a result, 1≤i≤n, 1≤j≤m；M indicates shared M original performance assessment criteria；
S2: original linear matrix X is standardized, normalized matrix Z is obtained；
S3: correlation matrix R is calculated according to normalized matrix Z；
S4: the characteristic root and feature vector of R are calculated；
S5: calculating the variance contribution ratio and cumulative proportion in ANOVA of each principal component, and chooses accumulation contribution rate to 85% Above corresponding feature vector (u of preceding q characteristic roots1,u2..., uq) composition characteristic vector matrix U, wherein q≤m；
S6: calculating new principal component, obtains new principal component matrix Y；
S7: using the respective variance contribution ratio of q principal component as flexible strategy, q principal component performance assessment criteria being weighted and averaged, Obtain the comprehensive examination score of each power plant.It is operated, is found out by " dimensionality reduction " using Principal Component Analysis by the above method The main affecting factors for examining power plant realize that multiple performance assessment criteria are converted into a small number of evaluation indexes, keep performance assessment criteria data multiple Polygamy much lower, and the variance contribution ratio based on principal component calculates the weight coefficient of each principal component, according to comprehensive evaluation model The overall target score of power plant is calculated, to carry out comprehensive examination to power plant's overall condition；Further, the above method, can basis Each original performance assessment criteria finds the correlation between original performance assessment criteria and power plant's operation in the rule of each power plant's score, The original performance assessment criteria of items of relatively single one-to-one a power plant carries out dimension-reduction treatment, has more wide applicability.
The comprehensive examination of i-th of power plant obtains F in the step S7iCalculation formula are as follows:
Wherein, λjIndicate j-th of characteristic root, yijIndicate j-th of new principal component index result of the i-th power plant.Above-mentioned synthesis Examine formula, it is contemplated that the mutual relevance of each performance assessment criteria and each original performance assessment criteria are between each power plant Multiple performance assessment criteria are normalized to obtain comprehensive performance assessment criteria, be applicable in by the relevance and regularity of the result of appraisal Range is more extensive, closer to the practical operation situation of power plant.
The formula that original linear matrix X is standardized in the step S2 are as follows:
Wherein, zijI-th of power plant, j-th of performance assessment criteria is as a result, in i.e. normalized matrix Z after indicating normalized processing The element of i row jth column；For the arithmetic mean of instantaneous value of j-th of original performance assessment criteria, i.e. jth column element in original linear matrix X Arithmetic mean of instantaneous value；σjFor the standard deviation of j-th of original performance assessment criteria, i.e. the standard of jth column element in original linear matrix X Difference；The expression formula of the normalized matrix Z is Z=(zij)n×m.Original index result is standardized, simplify and is facilitated The subsequent calculating to correlation matrix.
The calculation formula of the correlation matrix R are as follows:
Wherein, n indicates a shared n power plant to be examined.
The step S4 is specifically included:
Firstly, solution characteristic equation | R- λ I |=0, obtain characteristic root λj, j=1,2 ..., m, and the feature that will be obtained Root is arranged according to sequence from big to small, i.e. λ1> λ2> ... > λj> ... > λm, wherein λjAfter expression sorts from large to small J-th of characteristic root；
Then, by λjBring proper polynomial Ru intoj=λjujλ is calculatedjCorresponding feature vector uj.Correlation matrix Characteristic root corresponded to the variance of principal component, size reflects the ratio of the included initial data all information of corresponding principal component Weight also reflects the size of each principal component contribution.
The calculation formula of the variance contribution ratio of each principal component in the step S5 are as follows:
Wherein, αkIndicate λkThe variance contribution ratio of corresponding principal component, the λkIndicate that treated the through step S4 sequence K characteristic root；αkBigger representative is stronger come the ability for explaining original performance assessment criteria otherness with corresponding principal component, while including original Beginning information is more.
The calculation formula of the cumulative proportion in ANOVA of each principal component are as follows:
Wherein, SkIndicate λkThe accumulation contribution rate of corresponding principal component.
In the step S6 in new principal component matrix Y each column element calculation formula are as follows:
y(i)=UTx(i) (7)
Wherein, x(i)The original performance assessment criteria of i-th of power plant is indicated as a result, i-th of sample in i.e. original performance assessment criteria matrix This, x(i)=[xi1xi2…xim], y(i)Indicate the i-th column element in new principal component matrix Y；The expression formula of the matrix Y are as follows:
By principal component analysis, the m dimension performance assessment criteria of original power plant, which is converted to q dimension, can most reflect power plant's operation characteristic New performance assessment criteria replaces original performance assessment criteria with aspect most important in original performance assessment criteria, and high degree reservation is original The characteristics of performance assessment criteria, and relevance between every performance assessment criteria, great reference value are showed well.
Each original performance assessment criteria of the power plant includes: safety management examination, dispatch discipline examination, black starting-up examination, hair Electricity plan examination, primary frequency modulation examination, unplanned outage examination, AGC examination, peak regulation examination, fuel early warning examination, busbar voltage Examination, management and running examination, overhaul management examination, AVC examination, technological guidance and management evaluation.Above-mentioned original performance assessment criteria Have defined in specific formula for calculation and model " be incorporated into the power networks management implementation detailed rules and regulations in southern region power plant ", does not go to live in the household of one's in-laws on getting married herein It states.Every original index calculated result is regarded as known quantity in the method.
Finally, it is stated that the above examples are only used to illustrate the technical scheme of the present invention and are not limiting, although referring to compared with Good embodiment describes the invention in detail, those skilled in the art should understand that, it can be to skill of the invention Art scheme is modified or replaced equivalently, and without departing from the objective and range of technical solution of the present invention, should all be covered at this In the scope of the claims of invention.

Claims (8)

1. a kind of comprehensive wire examination method of the power plant based on Principal Component Analysis, it is characterised in that: comprising steps of
S1: each original performance assessment criteria result of n power plant to be examined is subjected to linear combination, obtains original linear matrix X, institute State the expression formula of X are as follows:
Wherein, xijIndicate the original performance assessment criteria of jth item of i-th of power plant as a result, 1≤i≤n, 1≤j≤m；M indicates m shared Original performance assessment criteria；
S2: original linear matrix X is standardized, normalized matrix Z is obtained；
S3: correlation matrix R is calculated according to normalized matrix Z；
S4: the characteristic root and feature vector of R are calculated；
S5: calculating the variance contribution ratio and cumulative proportion in ANOVA of each principal component, and chooses accumulation contribution rate to 85% or more The corresponding feature vector (u of preceding q characteristic roots1,u2..., uq) composition characteristic vector matrix U, wherein q≤m；
S6: calculating new principal component, obtains new principal component matrix Y；
S7: using the respective variance contribution ratio of q principal component as flexible strategy, q principal component performance assessment criteria is weighted and averaged, is obtained The comprehensive examination score of each power plant.
2. the comprehensive wire examination method of the power plant based on Principal Component Analysis according to claim 1, it is characterised in that: the step The comprehensive examination of i-th of power plant obtains F in S7iCalculation formula are as follows:
Wherein, λjIndicate j-th of characteristic root, yijIndicate j-th of new principal component index result of the i-th power plant.
3. the comprehensive wire examination method of the power plant based on Principal Component Analysis according to claim 2, it is characterised in that: the step The formula that original linear matrix X is standardized in S2 are as follows:
Wherein, zijI-th of power plant, j-th of performance assessment criteria after normalized processing is indicated as a result, the i-th row in i.e. normalized matrix Z The element of jth column；For the arithmetic mean of instantaneous value of j-th of original performance assessment criteria, i.e. the calculation of jth column element in original linear matrix X Art average value；σjFor the standard deviation of j-th of original performance assessment criteria, i.e. the standard deviation of jth column element in original linear matrix X；Institute The expression formula for stating normalized matrix Z is Z=(zij)n×m。
4. the comprehensive wire examination method of the power plant based on Principal Component Analysis according to claim 3, it is characterised in that: the correlation The calculation formula of coefficient matrix R are as follows:
Wherein, n indicates a shared n power plant to be examined.
5. the comprehensive wire examination method of the power plant based on Principal Component Analysis according to claim 4, it is characterised in that: the step S4 is specifically included:
Firstly, solution characteristic equation | R- λ I |=0, obtain characteristic root λj, j=1,2 ..., m, and by obtained characteristic root according to Sequence arrangement from big to small, i.e. λ1> λ2> ... > λj> ... > λm, wherein λjIndicate j-th of spy after sorting from large to small Levy root；
Then, by λjBring proper polynomial Ru intoj=λjujλ is calculatedjCorresponding feature vector uj。
6. the comprehensive wire examination method of the power plant based on Principal Component Analysis according to claim 5, it is characterised in that: the step The calculation formula of the variance contribution ratio of each principal component in S5 are as follows:
Wherein, αkIndicate λkThe variance contribution ratio of corresponding principal component, the λkIndicate that treated k-th through step S4 sequence Characteristic root；
The calculation formula of the cumulative proportion in ANOVA of each principal component are as follows:
Wherein, SkIndicate λkThe accumulation contribution rate of corresponding principal component.
7. the comprehensive wire examination method of the power plant based on Principal Component Analysis according to claim 6, it is characterised in that: the step In S6 in new principal component matrix Y each column element calculation formula are as follows:
y(i)=UTx(i) (7)
Wherein, x(i)Indicate the original performance assessment criteria of i-th of power plant as a result, x(i)=[xi1 xi2 ... xim], y(i)It indicates newly I-th column element in principal component matrix Y；The expression formula of the matrix Y are as follows:
8. the comprehensive wire examination method of the power plant based on Principal Component Analysis according to claim 7, it is characterised in that: the power plant Each original performance assessment criteria include: safety management examination, dispatch discipline examination, black starting-up examination, generation schedule examination, primary adjust Frequency examination, unplanned outage examination, AGC examination, peak regulation examination, fuel early warning examination, busbar voltage examination, management and running are examined Core, overhaul management examination, AVC examination, technological guidance and management evaluation.
CN201910323924.8A 2019-04-22 2019-04-22 The comprehensive wire examination method of power plant based on Principal Component Analysis Pending CN110084504A (en)

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Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111160788A (en) * 2019-12-31 2020-05-15 南京天溯自动化控制系统有限公司 Method and device for detecting working quality of hospital logistics personnel and computer equipment
CN112329271A (en) * 2020-12-04 2021-02-05 国网山东省电力公司电力科学研究院 Thermal power generating unit peak regulation key index identification method and device based on multiple PCAs
CN114358200A (en) * 2022-01-11 2022-04-15 中南大学 Classification prediction method, system, equipment and storage medium for nonlinear data
CN115049177A (en) * 2021-03-09 2022-09-13 中国核能电力股份有限公司 Safe comprehensive ranking method for nuclear power generating units
CN116930666A (en) * 2023-09-15 2023-10-24 深圳凯升联合科技有限公司 Intelligent diagnosis system and diagnosis method for low-voltage complete switch cabinet

Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111160788A (en) * 2019-12-31 2020-05-15 南京天溯自动化控制系统有限公司 Method and device for detecting working quality of hospital logistics personnel and computer equipment
CN112329271A (en) * 2020-12-04 2021-02-05 国网山东省电力公司电力科学研究院 Thermal power generating unit peak regulation key index identification method and device based on multiple PCAs
CN115049177A (en) * 2021-03-09 2022-09-13 中国核能电力股份有限公司 Safe comprehensive ranking method for nuclear power generating units
CN114358200A (en) * 2022-01-11 2022-04-15 中南大学 Classification prediction method, system, equipment and storage medium for nonlinear data
CN116930666A (en) * 2023-09-15 2023-10-24 深圳凯升联合科技有限公司 Intelligent diagnosis system and diagnosis method for low-voltage complete switch cabinet

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