CN109543976A - A kind of Wind turbines harmonic emissions modal identification method using gauss hybrid models - Google Patents

A kind of Wind turbines harmonic emissions modal identification method using gauss hybrid models Download PDF

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CN109543976A
CN109543976A CN201811352980.6A CN201811352980A CN109543976A CN 109543976 A CN109543976 A CN 109543976A CN 201811352980 A CN201811352980 A CN 201811352980A CN 109543976 A CN109543976 A CN 109543976A
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wind turbines
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harmonic emissions
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韩钟宽
邵振国
关明锋
张嫣
吴国昌
张逸
周琪琪
肖颂勇
林明星
陈晶腾
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Fujian Putian Liyuan Group Co Ltd
Fuzhou University
State Grid Fujian Electric Power Co Ltd
Putian Power Supply Co of State Grid Fujian Electric Power Co Ltd
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Fujian Putian Liyuan Group Co Ltd
Fuzhou University
State Grid Fujian Electric Power Co Ltd
Putian Power Supply Co of State Grid Fujian Electric Power Co Ltd
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Abstract

The invention discloses a kind of Wind turbines harmonic emissions modal identification methods using gauss hybrid models, comprising: step 1, establishes GMM and initializes the weighted value ω of GMMk, mean μk, covariance matrix ΣkWith subclass number;Step 2, the weighted value ω of GMM is calculated based on EM algorithm iterationk, mean μk, covariance matrix ΣkParameter optimal value, until reaching the local minimum of MDL criterion function;Step 3, according to the parameter optimal value clustering of Wind turbines GMM, class similar in similarity is merged, redundant data is screened out, reduce the subclass number of GMM;Step 4, judge whether subclass number is equal to 1, if it is not, then return step 3, if so, exporting the model result of identification and terminating program.It has the following advantages: the calculation amount for having greatly reduced the scale of data, having reduced comprehensive assessment, but has little influence on the accuracy of electric energy measuring equipment quality synthesis evaluation.

Description

A kind of Wind turbines harmonic emissions modal identification method using gauss hybrid models
Technical field
The present invention relates to a kind of Wind turbines harmonic emissions modal identification methods using gauss hybrid models.
Background technique
In recent years, the fast development of electric electronic current change technology promotes the continuous increase of new energy development scale, with wind Power power generation is that the distributed new of representative constantly accesses traditional power grid, also to the humorous of power grid while playing an important role Wave research brings more challenges.In addition to some traditional problems that harmonic wave causes, since wind power output power is by natural item The influence of part and there is intermittent and fluctuation, will lead to the fluctuation enhancing of system harmonics, resonance possibility increases, cause wind-powered electricity generation Unit off-grid.Wind turbines resonance is mainly related with electrical network parameter to unit operational modal, when electric network composition is basically unchanged, wind The harmonic emissions characteristic (including typical Mode composition, modal parameter and Mode-switch mode) of motor group, is determined whether to occur The principal element of resonance.The typical Mode of Wind turbines harmonic emissions is thus distinguished from measured data, and then according to modal parameter Implement optimum control, be the necessary technology means for guaranteeing the consumption of wind-powered electricity generation maximum, to administering Wind turbines harmonic pollution and wind-powered electricity generation simultaneously Net operation has very important practical significance.
Nowadays, the Power Quality Monitoring Technology of generation of electricity by new energy is highly developed, and a large amount of power qualities of acquisition are gone through History monitoring data help to analyze the operation characteristic of Wind turbines.Electric energy quality monitoring data have multidimensional, multi-period characteristic, base Typical Mode is carried out to Wind turbines in such data and excavates the means needed by data mining.Clustering has as one kind The tool of the data processing of effect can reasonably classify to mass data collection, there is now some Wind turbines harmonic emissions mode The method of classification, such as K mean cluster etc., main thinking are the basic electric energy quality monitoring data matrixes of construction, are carried out Raw data matrix coordinate transform finds out the information that several generalized variables characterize former variable, finally uses common clustering algorithm Carry out the classification of harmonic emission level mode.But the means that generalized variable extracts do not consider initial data characteristic distributions, to extraction The feature of Wind turbines harmonic emissions model lacks research.
Summary of the invention
The present invention provides a kind of Wind turbines harmonic emissions modal identification methods using gauss hybrid models, overcome The deficiencies in the prior art described in background technology.
The technical solution adopted by the present invention to solve the technical problems is:
A kind of Wind turbines harmonic emissions modal identification method using gauss hybrid models, it includes:
Step 1, it establishes GMM and initializes the weighted value ω of GMMk, mean μk, covariance matrix ΣkWith subclass number;GMM Expression formula be expressed as follows with the weighting of N number of gauss component:
In formula: ωkIndicate the weight of k-th of multidimensional list Gaussian Profile, pk(x;μk;Σk) indicate k-th of multidimensional list Gauss The probability density function of distribution;X=(x1,x2,...,xn)TIndicate data sample column vector, which is characterization wind turbine The characteristic of group harmonic emissions characteristic, wherein each xi(1≤i≤n) indicates that a point in p dimension coordinate system, coordinate are (α12,…,αp);N is total sample number strong point to be clustered number, μkIndicate the Mean Vector of k-th of Gauss model, ΣkIndicate the The variance of k Gauss model;
Step 2, the weighted value ω of GMM is calculated based on EM algorithm iterationk, mean μk, covariance matrix ΣkParameter it is optimal Value, until reaching the local minimum of MDL criterion function:
Step 3, according to the parameter optimal value clustering of Wind turbines GMM, class similar in similarity is merged, is screened out superfluous Remainder evidence reduces the subclass number of GMM;
Step 4, judge whether subclass number is equal to 1, if it is not, then return step 3, if so, the model knot of output identification Fruit simultaneously terminates program.
Among one embodiment: the characteristic of the characterization Wind turbines harmonic emissions characteristic is by Wind turbines harmonic wave Monitoring system marks the assessment data and national standard limit using the statistical value of continuous measurement period data as assessment data It is obtained after change processing.
Among one embodiment: the estimating step of the EM algorithm includes:
Step 11, it enables, ι=0,Random selection initializationWith Define i-th of sample point xiBelong to the initialization posterior probability of kth class Gauss model:
Step 12, result obtained in the previous step is substituted into the GMM cluster that following maximum likelihood formula calculates+1 iteration of ι Parameter:
Step 13, if | | Φ(l+1)(l)| | < δ, iteration terminate, Φ(l+1)The GMM parameter as estimated, δ are setting Iteration ends threshold value;Otherwise, ι=ι+1, and return step 12 are enabled.
The technical program compared with the background art, it has the following advantages:
The present invention proposes that, based on gauss hybrid models (Gaussian Mixture Model, GMM) clustering algorithm, it uses more The weighted array of a Gaussian Profile probability density function describes multidimensional data vector in the distribution situation of probability space, with tradition K- mean cluster, the methods of K- central cluster compares, the limitation not being distributed by particular probability, can be on the basis for distinguishing classification On immediately arrive at the statistical distributions of data, there is good numeracy skills, and can be fitted by increasing model component any It is continuously distributed.
The present invention proposes a kind of GMM clustering method of Wind turbines harmonic emissions mode.Wind turbines harmonic wave is supervised After measured data mark change processing, GMM model parameter is calculated with desired maximum value algorithm iteration, it is then poly- to GMM model parameter Alanysis, GMM clustering algorithm have given up redundancy and unessential information in electric energy measuring equipment quality evaluation original index data, Sample is clustered based on the minimum length that Minimum description length criterion clustering obtains description Wind turbines harmonic emissions, but is retained The significant data and characteristic feature of original index data.Therefore, GMM clustering algorithm has greatly reduced the scale of data, has reduced The calculation amount of comprehensive assessment, but has little influence on the accuracy of electric energy measuring equipment quality synthesis evaluation.
Detailed description of the invention
Present invention will be further explained below with reference to the attached drawings and examples.
Fig. 1 is a kind of Wind turbines harmonic emissions modal identification method using gauss hybrid models described in the present embodiment Step flow chart.
Specific embodiment
Fig. 1 is please referred to, a kind of Wind turbines harmonic emissions modal identification method using gauss hybrid models, it includes:
Step 1, it establishes GMM and initializes the weighted value ω of GMMk, mean μk, covariance matrix ΣkWith subclass number;GMM Expression formula be expressed as follows with the weighting of N number of gauss component:
In formula: ωkIndicate the weight of k-th of multidimensional list Gaussian Profile, pk(x;μk;Σk) indicate k-th of multidimensional list Gauss The probability density function of distribution;X=(x1,x2,...,xn)TIndicate data sample column vector, which is characterization wind turbine The characteristic of group harmonic emissions characteristic, wherein each xi(1≤i≤n) indicates that a point in p dimension coordinate system, coordinate are (α12,…,αp);N is total sample number strong point to be clustered number, μkIndicate the Mean Vector of k-th of Gauss model, ΣkIndicate the The variance of k Gauss model;
Step 2, the weighted value ω of GMM is calculated based on EM algorithm iterationk, mean μk, covariance matrix ΣkParameter it is optimal Value, until reaching the local minimum of MDL criterion function:
Step 3, according to the parameter optimal value clustering of Wind turbines GMM, class similar in similarity is merged, is screened out superfluous Remainder evidence reduces the subclass number of GMM;
Step 4, judge whether subclass number is equal to 1, if it is not, then return step 3, if so, the model knot of output identification Fruit simultaneously terminates program.
In the present embodiment, the characteristic of the characterization Wind turbines harmonic emissions characteristic is supervised by Wind turbines harmonic wave Examining system is using the statistical value (generally taking the big value of 95% probability) of continuous measurement period (generally 10min) data as assessment number According to, and the assessment data and national standard limit marked and is obtained after change is handled.
The estimating step of EM (Expectation Maximum, the EM) algorithm includes:
Step 11, it enables, ι=0,Random selection initializationWith Define i-th of sample point xiBelong to the initialization posterior probability of kth class Gauss model:
Step 12, result obtained in the previous step is substituted into the GMM cluster that following maximum likelihood formula calculates+1 iteration of ι Parameter:
Step 13, if | | Φ(l+1)(l)| | < δ, iteration terminate, Φ(l+1)The GMM parameter as estimated, δ are setting Iteration ends threshold value;Otherwise, ι=ι+1, and return step 12 are enabled.
When being clustered the present invention is based on GMM, minimum description length (Minimum Description is used Length, MDL) criterion function construct its cluster objective function.The main thought of MDL is to be built with probabilistic model to object When mould, the order of accuarcy of model should being considered, while making model most simple again, independent number of parameters is minimum.It can explain To give a hypothesis set, a data sequence d, trial searching wherein specifically assumes or the combination of certain hypothesis comes Minimize ground compressed data sequences d.
Cluster Program extracts the mixed model of each data set, regards each model as a small subclass.It is calculated with EM Method iterates to calculate the weighted value w of each subclassk, mean μkWith covariance ΣkOptimal value, to each signal characteristic data construct Then each GMM is initialized as independent class by GMM.Constantly iterative solution GMM parameter optimal value, until MDL function is local most It is small.According to the similarity of GMM optimized parameter, the similar class of similarity is merged, until gathering for a class, two subclasses of every combination Afterwards, then the class number of former cluster sample is replaced.
The present invention distinguishes the typical Mode of Wind turbines harmonic emissions, Jin Ergen from measured data by GMM clustering Implement optimum control according to modal parameter, is the necessary technology means for guaranteeing the consumption of wind-powered electricity generation maximum, it is dirty to Wind turbines harmonic wave is administered Dye and wind-electricity integration operation have very important practical significance.
The above is only the preferred embodiment of the present invention, the range implemented of the present invention that therefore, it cannot be limited according to, i.e., according to Equivalent changes and modifications made by the invention patent range and description, should still be within the scope of the present invention.

Claims (3)

1. a kind of Wind turbines harmonic emissions modal identification method using gauss hybrid models, it is characterised in that: include:
Step 1, it establishes GMM and initializes the weighted value ω of GMMk, mean μk, covariance matrix ΣkWith subclass number;The table of GMM It is expressed as follows up to formula with the weighting of N number of gauss component:
In formula: ωkIndicate the weight of k-th of multidimensional list Gaussian Profile, pk(x;μk;Σk) indicate k-th of multidimensional list Gaussian Profile Probability density function;X=(x1,x2,...,xn)TIndicate data sample column vector, which is characterization Wind turbines harmonic wave The characteristic of emission characteristics, wherein each xi(1≤i≤n) indicates that a point in p dimension coordinate system, coordinate are (α1, α2,…,αp);N is total sample number strong point to be clustered number, μkIndicate the Mean Vector of k-th of Gauss model, ΣkIt indicates k-th The variance of Gauss model;
Step 2, the weighted value ω of GMM is calculated based on EM algorithm iterationk, mean μk, covariance matrix ΣkParameter optimal value, directly To the local minimum for reaching MDL criterion function:
Step 3, according to the parameter optimal value clustering of Wind turbines GMM, class similar in similarity is merged, redundant digit is screened out According to reducing the subclass number of GMM;
Step 4, judge whether subclass number is equal to 1, if it is not, then return step 3, if so, the model result of output identification is simultaneously Terminate program.
2. a kind of Wind turbines harmonic emissions modal identification method using gauss hybrid models according to claim 1, It is characterized by: it is described characterization Wind turbines harmonic emissions characteristic characteristic be by Wind turbines Harmonics Monitoring System with The statistical value of continuous measurement period data is obtained as assessment data, and after the assessment data are marked change processing with national standard limit ?.
3. a kind of Wind turbines harmonic emissions modal identification method using gauss hybrid models according to claim 1, It is characterized by: the estimating step of the EM algorithm includes:
Step 11, it enables, ι=0,Random selection initializationWithDefinition the I sample point xiBelong to the initialization posterior probability of kth class Gauss model:
Step 12, result obtained in the previous step is substituted into the GMM cluster ginseng that following maximum likelihood formula calculates+1 iteration of ι Number:
Step 13, if | | Φ(l+1)(l)| | < δ, iteration terminate, Φ(l+1)The GMM parameter as estimated, δ are that the iteration of setting is whole Only threshold value;Otherwise, ι=ι+1, and return step 12 are enabled.
CN201811352980.6A 2018-11-14 2018-11-14 A kind of Wind turbines harmonic emissions modal identification method using gauss hybrid models Pending CN109543976A (en)

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111563623A (en) * 2020-04-30 2020-08-21 国网山东省电力公司威海供电公司 Typical scene extraction method and system for wind power system planning

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111563623A (en) * 2020-04-30 2020-08-21 国网山东省电力公司威海供电公司 Typical scene extraction method and system for wind power system planning
CN111563623B (en) * 2020-04-30 2022-05-10 国网山东省电力公司威海供电公司 Typical scene extraction method and system for wind power system planning

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Application publication date: 20190329