CN104268436A - Trend fitting based wind power intraday fluctuation continuous period recognition method and system - Google Patents

Trend fitting based wind power intraday fluctuation continuous period recognition method and system Download PDF

Info

Publication number
CN104268436A
CN104268436A CN201410557019.6A CN201410557019A CN104268436A CN 104268436 A CN104268436 A CN 104268436A CN 201410557019 A CN201410557019 A CN 201410557019A CN 104268436 A CN104268436 A CN 104268436A
Authority
CN
China
Prior art keywords
sequence
wind power
fitting
mrow
process line
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.)
Granted
Application number
CN201410557019.6A
Other languages
Chinese (zh)
Other versions
CN104268436B (en
Inventor
王现勋
梅亚东
孔艳君
杨璐
魏翔
徐雨妮
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Wuhan University WHU
Original Assignee
Wuhan University WHU
Priority date (The priority date 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 date listed.)
Filing date
Publication date
Application filed by Wuhan University WHU filed Critical Wuhan University WHU
Priority to CN201410557019.6A priority Critical patent/CN104268436B/en
Publication of CN104268436A publication Critical patent/CN104268436A/en
Application granted granted Critical
Publication of CN104268436B publication Critical patent/CN104268436B/en
Expired - Fee Related legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Landscapes

  • Wind Motors (AREA)

Abstract

The invention discloses a trend fitting based wind power intraday fluctuation continuous period recognition method and system. The trend fitting based wind power intraday fluctuation continuous period recognition method comprises performing analysis on a wind power output process line, performing subinterval length division, trend fitting and overlapped portion fitting according to characteristic parameters of different subintervals and obtaining the integral process line fitting sequence and performing fluctuation sensitivity fitting, fluctuation recognition and continuous period recognition. According to the trend fitting based wind power intraday fluctuation continuous period recognition method and system, the period of the wind power output process line fluctuation is automatically extracted and accordingly a new judgment and recognition mode is provided, the result is simple and clear, and the implementation is convenient and easy. Compared with the prior art, the new way is provided for the period level of wind power output process line fluctuation recognition, the important innovation is achieved, the judgment of the wind power output stability analysis is facilitated, the wind power operation cost can be reduced, the wind power application efficiency can be improved, and the important actual application significance is brought to the wind power operation management and the wind power compensation adjustment.

Description

Wind power intraday fluctuation continuous time interval identification method and system based on trend fitting
Technical Field
The invention relates to the field of wind power operation stability analysis, in particular to a wind power intraday fluctuation time period identification method and system based on trend fitting.
Background
The wind power operation stability analysis research is mainly used for providing decision support for wind power operation management and wind power compensation adjustment. The improvement of the precision of the wind power operation stability analysis has great significance for improving the utilization of wind energy, saving energy and reducing emission. The wind power fluctuation time interval is mainly characterized in that the fluctuation degree of the wind power output in the time interval is large. At present, the method for depicting the fluctuation degree of wind power output at home and abroad mainly comprises the following steps: standard deviation of the output, sum of absolute values of difference of the output in adjacent time periods, first-order difference probability distribution of the output, sum of slopes of lines in the process of the output and the like. The existing method mostly focuses on judging the fluctuation degree of the output in the whole output process or a certain time period, and the fluctuation degree of the output in certain continuous time periods in the output process cannot be identified. The recognition of the degree of fluctuation of the output for successive periods of time can then be used to analyze the duration of the state of fluctuation and the redundancy required for the wind-power compensation adjustment. In view of the above, if the wind power fluctuation can be subjected to continuous period fluctuation identification, a powerful reference can be provided for wind power operation management and wind power compensation adjustment.
Disclosure of Invention
The invention aims to overcome the defects of the prior art and provides a wind power intraday fluctuation continuous time interval identification scheme based on trend fitting so as to judge the fluctuation of continuous time intervals.
In order to achieve the purpose, the invention provides a wind power intraday fluctuation continuous time interval identification method based on trend fitting, which comprises the following steps of:
step 1, analyzing a wind power output process line, wherein the wind power output process line is a curve obtained by taking time t as a horizontal coordinate and wind power output P as a vertical coordinate in a rectangular coordinate system according to the output process; the analysis process comprises the steps of analyzing a wind power output process line to be formed by connecting a plurality of points, setting a total of N points, respectively using the N points as control points, numbering the control points from left to right in sequence to be 1,2, …, N, and recording the coordinate of the ith control point as (t)i,Pi) N, the vertical coordinates Pi of all control points in the wind power output process line form a sequence { P ═ 1,2iThe total time interval length of the line in the wind power output process is 24h, and the time intervals between adjacent control points are kept consistent; step 2, inputting a subinterval characteristic parameter set { M1,M2,...,MRThen initializing the current iteration times r to 1;
wherein M isrThe R-th subinterval characteristic parameter is an integral multiple of unit, R is 1,2, …, R is MrThe number of elements in the set; unit is the time interval between adjacent control points in the wind power output process line;
step 3, calculating the subinterval division length according to the current iteration number r as follows,
s=2m
m = M unit
wherein s is the sub-interval length, M is the sub-interval overlap length, and M is Mr
Step 4, according to the subinterval length s, the wind power output process line is divided as follows,
dividing the part between the (K-1) × m +1 control point and the (K +1) × m +1 control point of a wind power output process line into kth subintervals, wherein K is 1, 2. If it is notThenOtherwiseint (, denotes rounding ";
dividing the part from the Kxm +1 th control point to the Nth control point left by the wind power output process line into a Km +1 th sub-interval;
the first K subintervals are composed of 2m +1 control points, and the coordinates of the control points are recorded asThe K +1 sub-interval consists of N-Kxm control points, and the coordinates of the control points are recorded in sequence ( t 1 K + 1 , P 1 K + 1 ) , ( t 2 K + 1 , P 2 K + 1 ) , . . . , ( t N - Km K + 1 , P N - Km K + 1 ) ;
Step 5, performing trend fitting on each subinterval obtained in the step 4 to obtain a corresponding fitting sequence; the coordinates of the control points of the fitting sequence of the first K subintervals are recorded as ( t 1 k , f , P 1 k , f ) , ( t 2 k , f , P 2 k . f ) , . . . , ( t 2 m + 1 k , f , P 2 m + 1 k , f ) , k = 1 , 2 , . . . , K , The coordinates of the control points of the fitting sequence of the K +1 th subinterval are recorded as ( t 1 K + 1 , f , P 1 K + 1 , f ) , ( t 2 K + 1 , f , P 2 K + 1 , f ) , . . . , ( t N - Km K + 1 , f , P N - Km K + 1 , f ) ;
Step 6, the calculation of the overlap fitting weighted sequence is carried out as follows,
k overlapping parts are totally obtained among the K +1 subintervals obtained in the step 4, the fitting weighted sequence of each overlapping part is calculated by the following formula,
<math> <mrow> <msub> <mrow> <mmultiscripts> <mi>P</mi> <mi>l</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>f</mi> </mrow> <mi>w</mi> </mmultiscripts> <mo>=</mo> <mi>&lambda;</mi> </mrow> <mn>1</mn> </msub> <mo>&times;</mo> <msubsup> <mi>P</mi> <mrow> <mi>l</mi> <mo>+</mo> <mi>m</mi> </mrow> <mrow> <mi>k</mi> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> <mo>+</mo> <msub> <mi>&lambda;</mi> <mn>2</mn> </msub> <mo>&times;</mo> <msubsup> <mi>P</mi> <mi>l</mi> <mrow> <mi>k</mi> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> </mrow> </math>
wherein,the ordinate, K ═ 1, 2., K, λ, of the l-th control point in the fitted weighted sequence for the K-th overlap section1、λ2Is a weight coefficient, l 1, 2.., m +1,is the (l + m) th control point ordinate of the fitted sequence for the kth subinterval,is the longitudinal coordinate, lambda, of the ith control point in the fitted sequence of the (k +1) th subinterval1=1-(l-1)/m,λ2=(l-1)/m;
The coordinates of the control points of the fitted weighted sequence of the k-th overlap are recorded asProcessing the K overlapped parts to obtain K fitting weighted sequences, wherein the coordinate of the last control point of the previous fitting weighted sequence is the same as the coordinate of the first control point of the next fitting weighted sequence, and connecting the K fitting weighted sequences after the weight removal end to obtain the fitting weighted sequence of the overlapped part of the whole process line, wherein the sequence comprises K multiplied by m +1 control points;
step 7, generating a line fitting sequence in the whole process as follows,
fitting the first m control points of the first subinterval fitting sequence obtained in the step 5The first part is K × m +1 control points of the fitting weighted sequence of the whole process line overlapping part obtained in the step 6, and the second part is the last N-K × m- (m +1) points of the K +1 sub-interval fitting sequence obtained in the step 5 <math> <mrow> <mrow> <mo>(</mo> <msubsup> <mi>t</mi> <mrow> <mi>m</mi> <mo>+</mo> <mn>2</mn> </mrow> <mrow> <mi>K</mi> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> <mo>,</mo> <msubsup> <mi>P</mi> <mrow> <mi>m</mi> <mo>+</mo> <mn>2</mn> </mrow> <mrow> <mi>K</mi> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> <mo>)</mo> </mrow> <mo>,</mo> <mrow> <mo>(</mo> <msubsup> <mi>t</mi> <mrow> <mi>m</mi> <mo>+</mo> <mn>3</mn> </mrow> <mrow> <mi>K</mi> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> <mo>,</mo> <msubsup> <mi>P</mi> <mrow> <mi>m</mi> <mo>+</mo> <mn>3</mn> </mrow> <mrow> <mi>K</mi> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> <mo>)</mo> </mrow> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>,</mo> <mrow> <mo>(</mo> <msubsup> <mi>t</mi> <mrow> <mi>N</mi> <mo>-</mo> <mi>K</mi> <mo>&times;</mo> <mi>m</mi> </mrow> <mrow> <mi>K</mi> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> <mo>,</mo> <msubsup> <mi>P</mi> <mrow> <mi>N</mi> <mo>-</mo> <mi>K</mi> <mo>&times;</mo> <mi>m</mi> </mrow> <mrow> <mi>K</mi> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> <mo>)</mo> </mrow> </mrow> </math> As a third part, sequentially connecting the three parts end to obtain a line fitting sequence in the whole process;
step 8, recording the vertical coordinate of the whole process line fitting sequence obtained in the step 7 as { Pi,rIf R is less than R, R +1, returning to step 3; if R is equal to R, go to step 9;
step 9, the fluctuation sensitivity is formulated as follows,
the vertical coordinate sequence { P) of the original wind power output process lineiCombining the fitting sequences with R whole process line fitting sequences obtained in the previous iteration execution steps 3-8 to obtain an Nx (R +1) matrix A;
calculating the standard deviation of the set composed of elements contained in each row of the matrix A in turn and recording the standard deviation as sigmaiI 1, 2.., N, to get a sequence of standard differences { σ }i}; according to sigmaiSorting the values from large to small to obtain a sorted standard deviation sequence { sigma'i1,2, N, according to σ'iIn sequence { sigma'iCalculating the corresponding frequency according to the sequence ofObtaining N parameter combinations (sigma'i,ηi) (ii) a In N number (σ'i,ηi) Reading in combination the η closest to the predetermined parameter ηiSigma 'corresponding to'iA value and assigned to a standard deviation threshold parameter σ;
in step 10, the wave motion recognition is performed as follows,
the sequence of standard deviations { σ } is obtained in step 9iN, in order of increasing i value, i is 1,2Identification judgment including when sigmaiWhen > σ, the parameters corresponding to the value of i are combined (tii) Sequentially encoding the vector as a row vector into a matrix B;
after the identification is finished, the number of rows of the matrix B is recorded as a, the first column of the matrix B is a wind power intraday fluctuation period sequence and is recorded as { t'ii1,2, a, the second column being the fluctuation degree of the corresponding time interval, denoted as { σ'ii},ii=1,2,...,a;
Step 11, the identification of the continuous time interval is performed as follows,
according to the wind power intraday fluctuation time period sequence { t 'obtained in the step 10'iiIdentification of continuous periods in the order of the ii value from small to large, including when t'ii+1-t′iiUnit, where ii 1,2, a-2, then the parameters corresponding to the value of ii are combined (t'ii,σ′ii) Successively programmed into matrix C as a row vector, otherwise combined with the parameter corresponding to the value ii (t'ii,σ′ii) Sequentially encoding the vector as a row vector into a matrix D; when t'a-t′a-1Combining the parameters (t'a-1,σ′a-1)、(t′a,σ′a) Coding into the C end of the matrix as a row vector in sequence, otherwise combining the parameters (t'a-1,σ′a-1)、(t'a,σ'a) Sequentially encoding the row vectors into the tail end of the matrix D;
the first column of the matrix C is a continuous time interval sequence fluctuating within a wind power day, and the second column is the fluctuation degree of a corresponding time interval; the first column of the matrix D is a discontinuous period sequence fluctuating within a wind power day, and the second column is the fluctuation degree of a corresponding period.
The invention also correspondingly provides a wind power intraday fluctuation continuous period identification system based on trend fitting, which comprises the following modules: the analysis module is used for analyzing a wind power output process line, wherein the wind power output process line is a curve obtained by taking time t as a horizontal coordinate and wind power output P as a vertical coordinate in a rectangular coordinate system according to the output process; the analysis process comprises analyzing the wind power output process line as ifThe dry point is connected and formed, a total of N points are set, the N points are respectively taken as control points and are numbered from left to right as 1,2, …, N, and the coordinate of the ith control point is marked as (t)i,Pi) 1,2, N, the ordinate P of all control points in the wind power output process lineiComposition sequence { PiThe total time interval length of the line in the wind power output process is 24h, and the time intervals between adjacent control points are kept consistent;
an initialization module for inputting a subinterval feature parameter set { M }1,M2,...,MRThen initializing the current iteration times r to 1;
wherein M isrThe R-th subinterval characteristic parameter is an integral multiple of unit, R is 1,2, …, R is MrThe number of elements in the set; unit is the time interval between adjacent control points in the wind power output process line;
an interval length determining module, for calculating the subinterval division length according to the current iteration number r as follows,
s=2m
m = M unit
wherein s is the sub-interval length, M is the sub-interval overlap length, and M is Mr
The subinterval segmentation module is used for performing the following segmentation on the wind power output process line according to the subinterval length s,
dividing the part between the (K-1) × m +1 control point and the (K +1) × m +1 control point of a wind power output process line into kth subintervals, wherein K is 1, 2. If it is notThenOtherwiseint (, denotes rounding ";
dividing the part from the Kxm +1 th control point to the Nth control point left by the wind power output process line into a Km +1 th sub-interval;
the first K subintervals are composed of 2m +1 control points, and the coordinates of the control points are recorded asThe K +1 sub-interval consists of N-Kxm control points, and the coordinates of the control points are recorded in sequence ( t 1 K + 1 , P 1 K + 1 ) , ( t 2 K + 1 , P 2 K + 1 ) , . . . , ( t N - Km K + 1 , P N - Km K + 1 ) ;
The trend fitting module is used for performing trend fitting on each subinterval obtained by the subinterval segmentation module to obtain a corresponding fitting sequence; the coordinates of the control points of the fitting sequence of the first K subintervals are recorded asThe coordinates of the control points of the fitting sequence of the K +1 th subinterval are denoted as K1, 2 ( t 1 K + 1 , f , P 1 K + 1 , f ) , ( t 2 K + 1 , f , P 2 K + 1 , f ) , . . . , ( t N - Km K + 1 , f , P N - Km K + 1 , f ) ;
An overlap fit weighting module for performing an overlap portion fit weighting sequence calculation as follows,
k overlapping parts are shared among K +1 subintervals obtained by the subinterval division module, the fitting weighted sequence of each overlapping part is calculated by the following formula,
<math> <mrow> <msub> <mrow> <mmultiscripts> <mi>P</mi> <mi>l</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>f</mi> </mrow> <mi>w</mi> </mmultiscripts> <mo>=</mo> <mi>&lambda;</mi> </mrow> <mn>1</mn> </msub> <mo>&times;</mo> <msubsup> <mi>P</mi> <mrow> <mi>l</mi> <mo>+</mo> <mi>m</mi> </mrow> <mrow> <mi>k</mi> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> <mo>+</mo> <msub> <mi>&lambda;</mi> <mn>2</mn> </msub> <mo>&times;</mo> <msubsup> <mi>P</mi> <mi>l</mi> <mrow> <mi>k</mi> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> </mrow> </math>
wherein,the ordinate, K, of the l control point in the fitted weighting sequence for the K-th overlap portion is 1,2,λ1、λ2Is a weight coefficient, l 1, 2.., m +1,is the (l + m) th control point ordinate of the fitted sequence for the kth subinterval,is the longitudinal coordinate, lambda, of the ith control point in the fitted sequence of the (k +1) th subinterval1=1-(l-1)/m,λ2=(l-1)/m;
The coordinates of the control points of the fitted weighted sequence of the k-th overlap are recorded asProcessing the K overlapped parts to obtain K fitting weighted sequences, wherein the coordinate of the last control point of the previous fitting weighted sequence is the same as the coordinate of the first control point of the next fitting weighted sequence, and connecting the K fitting weighted sequences after the weight removal end to obtain the fitting weighted sequence of the overlapped part of the whole process line, wherein the sequence comprises K multiplied by m +1 control points;
a process line fitting module for performing the whole process line fitting sequence generation as follows,
fitting the first m control points of the first subinterval fitting sequence obtained by the trend fitting moduleTaking K × m +1 control points of the fitting weighted sequence of the whole process line overlapping part obtained by the overlapping fitting weighted module as a first part, and taking the last N-K × m- (m +1) points of the K +1 sub-interval fitting sequence obtained by the trend fitting module as a second part <math> <mrow> <mrow> <mo>(</mo> <msubsup> <mi>t</mi> <mrow> <mi>m</mi> <mo>+</mo> <mn>2</mn> </mrow> <mrow> <mi>K</mi> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> <mo>,</mo> <msubsup> <mi>P</mi> <mrow> <mi>m</mi> <mo>+</mo> <mn>2</mn> </mrow> <mrow> <mi>K</mi> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> <mo>)</mo> </mrow> <mo>,</mo> <mrow> <mo>(</mo> <msubsup> <mi>t</mi> <mrow> <mi>m</mi> <mo>+</mo> <mn>3</mn> </mrow> <mrow> <mi>K</mi> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> <mo>,</mo> <msubsup> <mi>P</mi> <mrow> <mi>m</mi> <mo>+</mo> <mn>3</mn> </mrow> <mrow> <mi>K</mi> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> <mo>)</mo> </mrow> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>,</mo> <mrow> <mo>(</mo> <msubsup> <mi>t</mi> <mrow> <mi>N</mi> <mo>-</mo> <mi>K</mi> <mo>&times;</mo> <mi>m</mi> </mrow> <mrow> <mi>K</mi> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> <mo>,</mo> <msubsup> <mi>P</mi> <mrow> <mi>N</mi> <mo>-</mo> <mi>K</mi> <mo>&times;</mo> <mi>m</mi> </mrow> <mrow> <mi>K</mi> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> <mo>)</mo> </mrow> </mrow> </math> As a third part, sequentially connecting the three parts end to obtain a line fitting sequence in the whole process;
iterationA judging module for recording the vertical coordinate of the whole process line fitting sequence obtained by the process line fitting module as { Pi,rIf R is less than R, R is equal to R +1, and a command interval length determining module works; if R is equal to R, commanding the sensitivity module to work;
a sensitivity module for performing a fluctuation sensitivity planning as follows,
the vertical coordinate sequence { P) of the original wind power output process lineiCombining the sequence and R whole process line fitting sequences obtained by previous iteration to obtain an N (R +1) matrix A;
calculating the standard deviation of the set composed of elements contained in each row of the matrix A in turn and recording the standard deviation as sigmaiI 1, 2.., N, to get a sequence of standard differences { σ }i}; according to sigmaiSorting the values from large to small to obtain a sorted standard deviation sequence { sigma'i1,2, N, according to σ'iIn sequence { sigma'iCalculating the corresponding frequency according to the sequence ofObtaining N parameter combinations (sigma'i,ηi) (ii) a In N number (σ'i,ηi) Reading in combination the η closest to the predetermined parameter ηiSigma 'corresponding to'iA value and assigned to a standard deviation threshold parameter σ;
a fluctuation identification module for performing fluctuation identification as follows,
standard deviation sequence { sigma over sensitivity moduleiAnd (e), identifying and judging the i values from small to large according to the sequence of the i values, including the step of judging when the sigma is largeriWhen > σ, the parameters corresponding to the value of i are combined (tii) Sequentially encoding the vector as a row vector into a matrix B;
after the identification is finished, the number of rows of the matrix B is recorded as a, the first column of the matrix B is a wind power intraday fluctuation period sequence and is recorded as { t'ii1,2, a, the second column being the fluctuation degree of the corresponding time interval, denoted as { σ'ii},ii=1,2,...,a;
A period identification module for performing continuous period identification as follows,
wind power intraday fluctuation time period sequence { t 'obtained according to fluctuation identification module'iiIdentification of continuous periods in the order of the ii value from small to large, including when t'ii+1-t′iiUnit, where ii 1,2, a-2, then the parameters corresponding to the value of ii are combined (t'ii,σ′ii) Successively programmed into matrix C as a row vector, otherwise combined with the parameter corresponding to the value ii (t'ii,σ′ii) Sequentially encoding the vector as a row vector into a matrix D; when t'a-t'a-1Combining the parameters (t'a-1,σ'a-1)、(t'a,σ'a) Coding into the C end of the matrix as a row vector in sequence, otherwise combining the parameters (t'a-1,σ'a-1)、(t'a,σ'a) Sequentially encoding the row vectors into the tail end of the matrix D;
the first column of the matrix C is a continuous time interval sequence fluctuating within a wind power day, and the second column is the fluctuation degree of a corresponding time interval; the first column of the matrix D is a discontinuous period sequence fluctuating within a wind power day, and the second column is the fluctuation degree of a corresponding period.
The technical scheme for identifying the wind power day fluctuation time period based on trend fitting provided by the invention provides a new judgment and identification mode by automatically extracting the wind power output process line fluctuation time period, and has the advantages of simple and clear result and simple and easy implementation. Compared with the prior art, the method provides a new way for identifying the line fluctuation of the wind power output process in the continuous time interval level, is an important innovation in the technical field, is favorable for judging the stability analysis of the wind power output, reducing the wind power operation cost and improving the wind power application efficiency, and has important practical application significance for wind power operation management and wind power compensation adjustment.
Drawings
FIG. 1 is a diagram illustrating subinterval segmentation according to an embodiment of the present invention;
FIG. 2 is a schematic diagram of the process line of each column vector in the matrix A according to the embodiment of the present invention;
fig. 3 is a diagram of a recognition result of a fluctuation time period within a wind power day according to an embodiment of the present invention.
Detailed Description
In specific implementation, the technical scheme of the invention can adopt a computer software technology to realize an automatic operation process. In order to prove the reasonability of the technical scheme, the embodiment takes the actually measured daily output process line of the wind power plant of a certain wind power base in China as an example, and the fluctuation time interval is identified. The flow of the embodiment comprises the following steps:
step 1, analyzing a wind power output process line
The wind power output process line is a curve obtained by taking time t as a horizontal coordinate and wind power output P as a vertical coordinate in a rectangular coordinate system according to the output process; the analysis process comprises the steps of analyzing a wind power output process line to be composed of a plurality of connected points, setting a total number of N points which are respectively used as control points and are numbered from left to right as 1,2, … and N (normally N is more than or equal to 96), and recording the coordinate of the ith control point as (t)i,Pi) 1,2,., N, the same applies below. Ordinate P of all control points of wind power output process linei(i ═ 1, 2.., N) constitutes the sequence { Pi}. The total time interval length of the line in the wind power output process is 24h, namely tN-t124 h; the time interval between adjacent control points remains consistent.
Step 2, inputting a subinterval characteristic parameter set { M1,M2,...,MRAnd then initializing the current iteration number r as 1.
Wherein: mrIs a subinterval characteristic parameter, the unit of which is min (minute) and is an integral multiple of unit; unit is the length of resolution of time t in wind power output process lineI.e. the time interval between adjacent control points, unit ═ t2-t1In units of min; advisingThe specific value can be adjusted and set by a person skilled in the art according to the change trend of the wind power output within the day in advance, and the more violent the change is, the M isrPreferably smaller, R is 1,2, …, R and R are MrThe number of elements in the set is also the upper limit of the number of iterations. As shown in FIG. 2, setting M1=60min,M2=90min,M3=120min,M4=150min,M5180min, the first row is the original wind power output process line, and the second row to the sixth row respectively correspond to M1To M5
Step 3, calculating the subinterval division length according to the current iteration times r
s=2m
m = M unit
Wherein: s is the subinterval division length; m is the subinterval overlap length; m is MrThat is, when the step is calculated 1 st time, M is M1When the calculation of the step is carried out subsequently, M is taken out in sequence2,M3,...,MR
Step 4, segmenting the wind power output process line
And (4) performing output process line segmentation according to the current subinterval length s obtained in the step (3) executed in the iteration. And dividing the part from the (K-1) × m +1 control point to the (K +1) × m +1 control point of the output process line into kth subintervals, wherein K is 1, 2.
If it is not <math> <mrow> <mi>N</mi> <mo>=</mo> <mi>ini</mi> <mrow> <mo>(</mo> <mfrac> <mrow> <mi>N</mi> <mo>-</mo> <mn>1</mn> </mrow> <mi>m</mi> </mfrac> <mo>)</mo> </mrow> <mo>&times;</mo> <mi>m</mi> <mo>+</mo> <mn>1</mn> </mrow> </math> Then K = ini ( N - 1 m ) - 2 , Otherwise K = ini ( N - 1 m ) - 1 , int (, denotes rounding ""). And dividing the part between the Kxm +1 control point and the Nth control point which are left in the force process line into K +1 sub-intervals. And m +1 points of the two adjacent subintervals are overlapped, namely the rear m +1 point of the front subinterval is overlapped with the front m +1 point of the rear subinterval. The first K subintervals are composed of 2m +1 control points, the lengths of the control points are all 2m, and the coordinates of the control points are sequentially recorded as:the K +1 sub-interval consists of N-Kxm control points, the length of the control points is N-Kxm-1, and the coordinates of the control points are sequentially recorded as:the sub-interval division diagram can be seen in fig. 1, where the sub-interval 1 includes the 1 st point to the 2m +1 st point, and the coordinates are recorded asSubinterval 2 includes m +1 th to 3m +1 th points, and coordinates are recorded asThe subinterval k comprises (k-1) m +1 th point to (k +1) m +1 th point, and the coordinates are recorded asThe subinterval k +1 includes the km +1 th point to the (k +2) m +1 th point, and the coordinates are recorded asThe subinterval K comprises (K-1) m +1 th point to (K +1) m +1 th point, and the coordinates are recorded asThe subinterval K +1 comprises Km +1 th point to Nth point, and the coordinates are recorded as ( t 1 K + 1 , P 1 K + 1 ) , ( t 2 K + 1 , P 2 K + 1 ) , . . . , ( t N - Km K + 1 , P N - Km K + 1 ) .
Step 5, fitting subinterval trend
And (4) adopting a polynomial fitting method, wherein the polynomial fitting frequency is 2, and performing trend fitting on each subinterval obtained in the step (4) to obtain a corresponding fitting sequence. The coordinates of the control points of the fitting sequence of the first K subintervals are noted as: ( t 1 k , f , P 1 k , f ) , ( t 2 k , f , P 2 k . f ) , . . . , ( t 2 m + 1 k , f , P 2 m + 1 k , f ) , k = 1 , 2 , . . . , K , the coordinates of the control points of the fitting sequence of the K +1 th subinterval are recorded as ( t 1 K + 1 , f , P 1 K + 1 , f ) , ( t 2 K + 1 , f , P 2 K + 1 , f ) , . . . , ( t N - Km K + 1 , f , P N - Km K + 1 , f ) .
Step 6, calculating the fitting weighted sequence of the overlapped part
The K total overlapping parts are obtained from the K +1 subintervals obtained in the step 4, and the fitting weighted sequence of each overlapping part is calculated by the following formula:
<math> <mrow> <msub> <mrow> <mmultiscripts> <mi>P</mi> <mi>l</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>f</mi> </mrow> <mi>w</mi> </mmultiscripts> <mo>=</mo> <mi>&lambda;</mi> </mrow> <mn>1</mn> </msub> <mo>&times;</mo> <msubsup> <mi>P</mi> <mrow> <mi>l</mi> <mo>+</mo> <mi>m</mi> </mrow> <mrow> <mi>k</mi> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> <mo>+</mo> <msub> <mi>&lambda;</mi> <mn>2</mn> </msub> <mo>&times;</mo> <msubsup> <mi>P</mi> <mi>l</mi> <mrow> <mi>k</mi> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> </mrow> </math>
wherein:the ordinate, K ═ 1, 2., K, λ, of the l-th control point in the fitted weighted sequence for the K-th overlap section1、λ2Is a weight coefficient, l 1, 2.., m +1,is the (l + m) th control point ordinate of the fitted sequence for the kth subinterval,is the ith control point ordinate in the fitted sequence of the (k +1) th subinterval. Lambda [ alpha ]1=1-(l-1)/m,λ2(l-1)/m. The significance of the formula is that the weighting processing is carried out according to the influence degree of the fitting trend of the overlapping parts of the adjacent subintervals.
Let the control point coordinates of the fitted weighted sequence for the kth overlap be:and processing the K overlapped parts to obtain K fitting weighted sequences, wherein the coordinate of the last control point of the previous fitting weighted sequence is the same as the coordinate of the first control point of the next fitting weighted sequence. And carrying out the duplicate removal operation. The specific processing of the de-weighting is to reserve the coordinates of the last control point of the previous fitting weighting sequence and remove the coordinates of the first control point of the next fitting weighting sequence. After the processing, the 1 st fitting weighted sequence contains m +1 control points, and the rest fitting weighted sequences contain m control points. And connecting the K fitting weighted sequences after the duplication elimination end to obtain a fitting weighted sequence of the overlapped part of the whole process line, wherein the sequence comprises K multiplied by m +1 control points.
Step 7, generating a line fitting sequence in the whole process
Fitting the first m control points of the first subinterval fitting sequence obtained in the step 5The first part is K × m +1 control points of the fitting weighted sequence of the whole process line overlapping part obtained in the step 6, and the second part is the last N-K × m- (m +1) points of the K +1 sub-interval fitting sequence obtained in the step 5 <math> <mrow> <mrow> <mo>(</mo> <msubsup> <mi>t</mi> <mrow> <mi>m</mi> <mo>+</mo> <mn>2</mn> </mrow> <mrow> <mi>K</mi> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> <mo>,</mo> <msubsup> <mi>P</mi> <mrow> <mi>m</mi> <mo>+</mo> <mn>2</mn> </mrow> <mrow> <mi>K</mi> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> <mo>)</mo> </mrow> <mo>,</mo> <mrow> <mo>(</mo> <msubsup> <mi>t</mi> <mrow> <mi>m</mi> <mo>+</mo> <mn>3</mn> </mrow> <mrow> <mi>K</mi> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> <mo>,</mo> <msubsup> <mi>P</mi> <mrow> <mi>m</mi> <mo>+</mo> <mn>3</mn> </mrow> <mrow> <mi>K</mi> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> <mo>)</mo> </mrow> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>,</mo> <mrow> <mo>(</mo> <msubsup> <mi>t</mi> <mrow> <mi>N</mi> <mo>-</mo> <mi>K</mi> <mo>&times;</mo> <mi>m</mi> </mrow> <mrow> <mi>K</mi> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> <mo>,</mo> <msubsup> <mi>P</mi> <mrow> <mi>N</mi> <mo>-</mo> <mi>K</mi> <mo>&times;</mo> <mi>m</mi> </mrow> <mrow> <mi>K</mi> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> <mo>)</mo> </mrow> </mrow> </math> As a third part, the three parts are connected end to end in sequence to obtain a whole process line fitting sequenceThe number of the control points is equal to the wind power output process line in the step 1, the control points are all N, and the abscissa of the two sequences is the same.
Step 8, circulating treatment
When the calculation of the R (R ═ 1,2, …, R) is performed up to this step, the ordinate of the whole process line fitting sequence obtained in step 7 is recorded as: { Pi,r1, 2. If R is less than R, making R equal to R +1, and returning to the step 3; if R is equal to R, go to step 9.
Step 9, drawing up fluctuation sensitivity
The vertical coordinate sequence { P) of the original wind power output process lineiAnd combining the R fitting sequences of the whole process line obtained by the previous iteration execution steps 3-8 into an N x (R +1) matrix A. Calculating the standard deviation of the set composed of elements contained in each row of the matrix A in turn and recording the standard deviation as sigmaiN, a sequence of standard deviations { σ } is availablei}. According to sigmaiSorting the values from large to small to obtain a sorted standard deviation sequence { sigma'i1, 2. According to sigma'iIn sequence { sigma'iCalculating the corresponding frequency according to the sequence of the frequencyN parameter combinations (sigma ') can be obtained'i,ηi). In specific implementation, a person skilled in the art can preset the value of the parameter η, 0<η<1, the value of eta can be generally determined according to wind power output fluctuation identification sensitivity, and the higher the sensitivity requirement is, the larger the value of eta is. In N number (σ'i,ηi) Reading in combination the η closest to the predetermined parameter ηiSigma 'corresponding to'iAnd is assigned to the standard deviation threshold parameter sigma.
Step 10, wave recognition
The sequence of standard deviations { σ } is obtained in step 9iAnd (i) 1,2, N, performing identification judgment in the order of the values of i from small to large. When sigma isiWhen > σ, the parameters corresponding to the value of i are combined (tii) MakingAnd sequentially compiling the row vectors into a matrix B. After the identification is finished, the number of rows of the matrix B is recorded as a. The first column of the matrix B is a wind power intraday fluctuation period sequence which is marked as { t'iiA), the second column is the fluctuation degree of the corresponding time interval, which is marked as { σ'ii},(ii=1,2,...,a)。
Step 11, continuous period identification
According to the wind power intraday fluctuation time period sequence { t 'obtained in the step 10'iiAnd (5) carrying out continuous time interval identification according to the sequence of the ii value from small to large. When t'ii+1-t′iiUnit (where ii 1, 2.., a-2), then the parameters corresponding to the ii value are combined (t'ii,σ′ii) Successively programmed into matrix C as a row vector, otherwise combined with the parameter corresponding to the value ii (t'ii,σ′ii) Sequentially encoding the vector as a row vector into a matrix D; when t'a-t'a-1Combining the parameters (t'a-1,σ'a-1)、(t'a,σ'a) Coding into the C end of the matrix as a row vector in sequence, otherwise combining the parameters (t'a-1,σ'a-1)、(t'a,σ'a) And the row vectors are sequentially coded into the tail end of the matrix D.
The first column of the matrix C is a continuous time interval sequence of wind power day fluctuation, and the second column is the fluctuation degree of the corresponding time interval; the first column of the matrix D is a discontinuous time period sequence fluctuating within a wind power day, and the second column is the fluctuation degree of a corresponding time period.
The process of the present invention may be implemented using MATLAB programming. For the sake of understanding the effect of the present invention, the specific process is illustrated as follows: and reading the wind power output process into MATLAB as original data, and obtaining a fluctuation time period by utilizing the flow provided by the invention. The main parameters take the values as follows: unit 15min, Mr60,90,120,150,180, η is 0.5; the results obtained were: each column process in the matrix A is shown in figure 2, a schematic diagram of the wind power intraday fluctuation identification result is shown in figure 3, and a horizontal line with the P being 50 ten thousand kW in the diagram is a fluctuation identification: "-" indicates that the corresponding period is a continuous fluctuation (matrix C), "×" indicates that the corresponding period is a discontinuous fluctuation(matrix D), fluctuation period characteristic parameter matrix C is as follows.
C parameter table of fluctuation time interval characteristic parameter matrix
From fig. 2, it can be known from comparison between the wind power output process (column 1) and the sequence processes (columns 2 to 6) based on trend fitting that the wind power output process has obvious fluctuation, the left side of the process line has obvious fluctuation of continuous time period, and the right side of the process line also has fluctuation of continuous time period. From fig. 3 and the above table, the results of this example successfully identified fluctuations of successive time periods. Therefore, the method can effectively and automatically identify the continuous time period of the wind power day fluctuation, generate the analysis result of the wind power operation stability and provide decision support for follow-up research.
The invention also correspondingly provides a wind power intraday fluctuation continuous period identification system based on trend fitting, which comprises the following modules: the analysis module is used for analyzing a wind power output process line, wherein the wind power output process line is a curve obtained by taking time t as a horizontal coordinate and wind power output P as a vertical coordinate in a rectangular coordinate system according to the output process; the analysis process comprises the steps of analyzing a wind power output process line to be formed by connecting a plurality of points, setting a total of N points, respectively using the N points as control points, numbering the control points from left to right in sequence to be 1,2, …, N, and recording the coordinate of the ith control point as (t)i,Pi) N, the vertical coordinates Pi of all control points in the wind power output process line form a sequence { P ═ 1,2iThe total time interval length of the line in the wind power output process is 24h, and the time intervals between adjacent control points are kept consistent;
an initialization module for inputting a subinterval feature parameter set { M }1,M2,...,MRThen initializing the current iteration times r to 1;
wherein M isrThe R-th subinterval characteristic parameter is an integral multiple of unit, R is 1,2, …, R and R areMrThe number of elements in the set; unit is the time interval between adjacent control points in the wind power output process line;
an interval length determining module, for calculating the subinterval division length according to the current iteration number r as follows,
s=2m
m = M unit
wherein s is the sub-interval length, M is the sub-interval overlap length, and M is Mr
The subinterval segmentation module is used for performing the following segmentation on the wind power output process line according to the subinterval length s,
dividing the part between the (K-1) × m +1 control point and the (K +1) × m +1 control point of a wind power output process line into kth subintervals, wherein K is 1, 2. If it is notThenOtherwiseint (, denotes rounding ";
dividing the part from the Kxm +1 th control point to the Nth control point left by the wind power output process line into a Km +1 th sub-interval;
the first K subintervals are composed of 2m +1 control points, and the coordinates of the control points are recorded asThe K +1 sub-interval consists of N-Kxm control points, and the coordinates of the control points are recorded in sequence ( t 1 K + 1 , P 1 K + 1 ) , ( t 2 K + 1 , P 2 K + 1 ) , . . . , ( t N - Km K + 1 , P N - Km K + 1 ) ;
The trend fitting module is used for performing trend fitting on each subinterval obtained by the subinterval segmentation module to obtain a corresponding fitting sequence; the coordinates of the control points of the fitting sequence of the first K subintervals are noted as:the coordinates of the control points of the fitting sequence of the K +1 th subinterval are denoted as K1, 2 ( t 1 K + 1 , P 1 K + 1 ) , ( t 2 K + 1 , P 2 K + 1 ) , . . . , ( t N - Km K + 1 , P N - Km K + 1 ) ;
An overlap fit weighting module for performing an overlap portion fit weighting sequence calculation as follows,
k overlapping parts are shared among K +1 subintervals obtained by the subinterval division module, the fitting weighted sequence of each overlapping part is calculated by the following formula,
<math> <mrow> <msub> <mrow> <mmultiscripts> <mi>P</mi> <mi>l</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>f</mi> </mrow> <mi>w</mi> </mmultiscripts> <mo>=</mo> <mi>&lambda;</mi> </mrow> <mn>1</mn> </msub> <mo>&times;</mo> <msubsup> <mi>P</mi> <mrow> <mi>l</mi> <mo>+</mo> <mi>m</mi> </mrow> <mrow> <mi>k</mi> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> <mo>+</mo> <msub> <mi>&lambda;</mi> <mn>2</mn> </msub> <mo>&times;</mo> <msubsup> <mi>P</mi> <mi>l</mi> <mrow> <mi>k</mi> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> </mrow> </math>
wherein,the ordinate, K ═ 1, 2., K, λ, of the l-th control point in the fitted weighted sequence for the K-th overlap section1、λ2Is a weight coefficient, l 1, 2.., m +1,is the (l + m) th control point ordinate of the fitted sequence for the kth subinterval,is the longitudinal coordinate, lambda, of the ith control point in the fitted sequence of the (k +1) th subinterval1=1-(l-1)/m,λ2=(l-1)/m;
The coordinates of the control points of the fitted weighted sequence of the k-th overlap are recorded asProcessing the K overlapped parts to obtain K fitting weighted sequences, wherein the coordinate of the last control point of the previous fitting weighted sequence is the same as the coordinate of the first control point of the next fitting weighted sequence, and the K removed-of-weight sequencesThe fitting weighted sequence is connected end to obtain a fitting weighted sequence of the overlapped part of the whole process line, and the sequence comprises Kxm +1 control points;
a process line fitting module for performing the whole process line fitting sequence generation as follows,
fitting the first m control points of the first subinterval fitting sequence obtained by the trend fitting moduleTaking K × m +1 control points of the fitting weighted sequence of the whole process line overlapping part obtained by the overlapping fitting weighted module as a first part, and taking the last N-K × m- (m +1) points of the K +1 sub-interval fitting sequence obtained by the trend fitting module as a second part <math> <mrow> <mrow> <mo>(</mo> <msubsup> <mi>t</mi> <mrow> <mi>m</mi> <mo>+</mo> <mn>2</mn> </mrow> <mrow> <mi>K</mi> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> <mo>,</mo> <msubsup> <mi>P</mi> <mrow> <mi>m</mi> <mo>+</mo> <mn>2</mn> </mrow> <mrow> <mi>K</mi> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> <mo>)</mo> </mrow> <mo>,</mo> <mrow> <mo>(</mo> <msubsup> <mi>t</mi> <mrow> <mi>m</mi> <mo>+</mo> <mn>3</mn> </mrow> <mrow> <mi>K</mi> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> <mo>,</mo> <msubsup> <mi>P</mi> <mrow> <mi>m</mi> <mo>+</mo> <mn>3</mn> </mrow> <mrow> <mi>K</mi> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> <mo>)</mo> </mrow> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>,</mo> <mrow> <mo>(</mo> <msubsup> <mi>t</mi> <mrow> <mi>N</mi> <mo>-</mo> <mi>K</mi> <mo>&times;</mo> <mi>m</mi> </mrow> <mrow> <mi>K</mi> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> <mo>,</mo> <msubsup> <mi>P</mi> <mrow> <mi>N</mi> <mo>-</mo> <mi>K</mi> <mo>&times;</mo> <mi>m</mi> </mrow> <mrow> <mi>K</mi> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> <mo>)</mo> </mrow> </mrow> </math> As a third part, sequentially connecting the three parts end to obtain a line fitting sequence in the whole process;
an iteration judgment module for recording the vertical coordinate of the whole process line fitting sequence obtained by the process line fitting module as { Pi,rIf R is less than R, R is equal to R +1, and a command interval length determining module works; if R is equal to R, commanding the sensitivity module to work;
a sensitivity module for performing a fluctuation sensitivity planning as follows,
the vertical coordinate sequence { P) of the original wind power output process lineiCombining the sequence and R whole process line fitting sequences obtained by previous iteration to obtain an N (R +1) matrix A;
calculating the standard deviation of the set composed of elements contained in each row of the matrix A in turn and recording the standard deviation as sigmaiI 1, 2.., N, to get a sequence of standard differences { σ }i}; according to sigmaiSorting the values from large to small to obtain a sorted standard deviation sequence { sigma'i1,2, N, according to σ'iIn sequence { sigma'iCalculating the corresponding frequency according to the sequence ofObtaining N parameter combinations (sigma'i,ηi) (ii) a In N number (σ'i,ηi) Reading in combination the η closest to the predetermined parameter ηiSigma 'corresponding to'iA value and assigned to a standard deviation threshold parameter σ;
a fluctuation identification module for performing fluctuation identification as follows,
sequence of standard deviations { sigma'iAnd (e), identifying and judging the i values from small to large according to the sequence of the i values, including the step of judging when the sigma is largeriWhen > σ, the parameters corresponding to the value of i are combined (tii) Sequentially encoding the vector as a row vector into a matrix B;
after the identification is finished, the number of rows of the matrix B is recorded as a, the first column of the matrix B is a wind power intraday fluctuation period sequence and is recorded as { t'ii1,2, a, the second column being the fluctuation degree of the corresponding time interval, denoted as { σ'ii},ii=1,2,...,a;
A period identification module for performing continuous period identification as follows,
wind power intraday fluctuation time period sequence { t 'obtained according to fluctuation identification module'iiIdentification of continuous periods in the order of the ii value from small to large, including when t'ii+1-t′iiUnit, where ii 1,2, a-2, then the parameters corresponding to the value of ii are combined (t'ii,σ′ii) Successively programmed into matrix C as a row vector, otherwise combined with the parameter corresponding to the value ii (t'ii,σ′ii) Sequentially encoding the vector as a row vector into a matrix D; when t'a-t'a-1Combining the parameters (t'a-1,σ'a-1)、(t'a,σ'a) Coding into the C end of the matrix as a row vector in sequence, otherwise combining the parameters (t'a-1,σ'a-1)、(t'a,σ'a) Sequentially encoding the row vectors into the tail end of the matrix D;
the first column of the matrix C is a continuous time interval sequence fluctuating within a wind power day, and the second column is the fluctuation degree of a corresponding time interval; the first column of the matrix D is a discontinuous period sequence fluctuating within a wind power day, and the second column is the fluctuation degree of a corresponding period.
In specific implementation, each module can be realized by adopting a software modularization technology, and the specific implementation corresponds to each step, which is not repeated in the invention.
It should be emphasized that the embodiments described herein are illustrative rather than restrictive, and thus the present invention is not limited to the embodiments described in the detailed description, but other embodiments derived from the technical solutions of the present invention by those skilled in the art are also within the scope of the present invention.

Claims (2)

1. A wind power intraday fluctuation continuous period identification method based on trend fitting is characterized by comprising the following steps:
step 1, analyzing a wind power output process line, wherein the wind power output process line is a curve obtained by taking time t as a horizontal coordinate and wind power output P as a vertical coordinate in a rectangular coordinate system according to the output process; the analysis process comprises the steps of analyzing a wind power output process line to be composed of a plurality of points which are connected, setting N points in total, respectively taking the N points as control points, numbering the control points from left to right to be 1,2, …, N, and recording the coordinates of the ith control point as(ti,Pi) 1,2, N, the ordinate P of all control points in the wind power output process lineiComposition sequence { PiThe total time interval length of the line in the wind power output process is 24h, and the time intervals between adjacent control points are kept consistent; step 2, inputting a subinterval characteristic parameter set { M1,M2,...,MRThen initializing the current iteration times r to 1;
wherein M isrThe R-th subinterval characteristic parameter is an integral multiple of unit, R is 1,2, …, R is MrThe number of elements in the set; unit is the time interval between adjacent control points in the wind power output process line;
step 3, calculating the subinterval division length according to the current iteration number r as follows,
s=2m
m = M unit
wherein s is the sub-interval length, M is the sub-interval overlap length, and M is Mr
Step 4, according to the subinterval length s, the wind power output process line is divided as follows,
dividing the part between the (K-1) × m +1 control point and the (K +1) × m +1 control point of a wind power output process line into kth subintervals, wherein K is 1, 2. If it is notThenOtherwiseint (, denotes rounding ";
dividing the part from the Kxm +1 th control point to the Nth control point left by the wind power output process line into a Km +1 th sub-interval;
the first K sub-intervals are composed of 2m +1Control point composition, control point coordinates are recorded in sequenceThe K +1 sub-interval consists of N-Kxm control points, and the coordinates of the control points are recorded in sequence
Step 5, performing trend fitting on each subinterval obtained in the step 4 to obtain a corresponding fitting sequence; the coordinates of the control points of the fitting sequence of the first K subintervals are recorded asThe coordinates of the control points of the fitting sequence of the K +1 th subinterval are denoted as K1, 2
Step 6, the calculation of the overlap fitting weighted sequence is carried out as follows,
k overlapping parts are totally obtained among the K +1 subintervals obtained in the step 4, the fitting weighted sequence of each overlapping part is calculated by the following formula,
<math> <mrow> <mmultiscripts> <msubsup> <mi>P</mi> <mi>l</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> <mi>w</mi> </mmultiscripts> <mo>=</mo> <msub> <mi>&lambda;</mi> <mn>1</mn> </msub> <mo>&times;</mo> <msubsup> <mi>P</mi> <mrow> <mi>l</mi> <mo>+</mo> <mi>m</mi> </mrow> <mrow> <mi>k</mi> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> <mo>+</mo> <msub> <mi>&lambda;</mi> <mn>2</mn> </msub> <mo>&times;</mo> <msubsup> <mi>P</mi> <mi>l</mi> <mrow> <mi>k</mi> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> </mrow> </math>
wherein,the ordinate, K ═ 1, 2., K, λ, of the l-th control point in the fitted weighted sequence for the K-th overlap section1、λ2Is a weight coefficient, l 1, 2.., m +1,is the (l + m) th control point ordinate of the fitted sequence for the kth subinterval,is the longitudinal coordinate, lambda, of the ith control point in the fitted sequence of the (k +1) th subinterval1=1-(l-1)/m,λ2=(l-1)/m;
The coordinates of the control points of the fitted weighted sequence of the k-th overlap are recorded asProcessing the K overlapped parts to obtain K fitting weighted sequences, wherein the coordinate of the last control point of the previous fitting weighted sequence is the same as the coordinate of the first control point of the next fitting weighted sequence, and connecting the K fitting weighted sequences after the weight removal end to obtain the fitting weighted sequence of the overlapped part of the whole process line, wherein the sequence comprises K multiplied by m +1 control points;
step 7, generating a line fitting sequence in the whole process as follows,
fitting the first subinterval to the first m control points of the sequenceAs the first part of the new sequence, the K × m +1 control points of the fitting weighted sequence of the whole process line overlapping part obtained in the step 6 are used as the second part, and the last N-K × m- (m +1) points of the K +1 sub-interval fitting sequence are used as the second partAs a third part, sequentially connecting the three parts end to obtain a line fitting sequence in the whole process;
step 8, recording the vertical coordinate of the whole process line fitting sequence obtained in the step 7 as { Pi,rIf R is less than R, R +1, returning to step 3; if R is equal to R, go to step 9;
step 9, the fluctuation sensitivity is formulated as follows,
the vertical coordinate sequence { P) of the original wind power output process lineiCombining the sequence and R whole process line fitting sequences obtained by previous iteration to obtain an N (R +1) matrix A;
calculating the standard deviation of the set composed of elements contained in each row of the matrix A in turn and recording the standard deviation as sigmaiI 1, 2.., N, to get a sequence of standard differences { σ }i}; according to sigmaiSorting values from large to small to obtain a standard deviation sequence { sigma'i1,2, N, according to σ'iIn sequence { sigma'iCalculating the corresponding frequency according to the sequence ofObtaining N parameter combinations (sigma'i,ηi) (ii) a In N number (σ'i,ηi) Reading in combination the η closest to the predetermined parameter ηiSigma 'corresponding to'iA value and assigned to a standard deviation threshold parameter σ;
in step 10, the wave motion recognition is performed as follows,
the sequence of standard deviations { sigma'iAnd (e), identifying and judging the i values from small to large according to the sequence of the i values, including the step of judging when the sigma is largeriWhen > σ, the corresponding parameters are combined (t)ii) Sequentially encoding the vector as a row vector into a matrix B;
after the identification is finished, the number of rows of the matrix B is recorded as a, the first column of the matrix B is a wind power intraday fluctuation period sequence and is recorded as { t'ii1,2, a, the second column being the fluctuation degree of the corresponding time interval, denoted as { σ'ii},ii=1,2,...,a;
Step 11, the identification of the continuous time interval is performed as follows,
according to the wind power intraday fluctuation time period sequence { t 'obtained in the step 10'iiIdentification of continuous periods in the order of the ii value from small to large, including when t'ii+1-t′iiUnit, where ii 1,2, a-2, the respective parameters are combined (t'ii,σ′ii) Are successively programmed into the matrix C as row vectors, otherwise the corresponding parameters are combined (t'ii,σ′ii) Sequentially encoding the vector as a row vector into a matrix D; when t'a-t'a-1Corresponding parameters are combined (t'a-1,σ'a-1)、(t'a,σ'a) Sequentially compiling the row vectors into the C end of the matrix, otherwise combining the corresponding parameters (t'a-1,σ'a-1)、(t'a,σ'a) Sequentially encoding the row vectors into the tail end of the matrix D;
the first column of the matrix C is a continuous time interval sequence fluctuating within a wind power day, and the second column is the fluctuation degree of a corresponding time interval; the first column of the matrix D is a discontinuous period sequence fluctuating within a wind power day, and the second column is the fluctuation degree of a corresponding period.
2. A wind power intraday fluctuation continuous period identification system based on trend fitting is characterized by comprising the following modules:
the analysis module is used for analyzing a wind power output process line, wherein the wind power output process line is a curve obtained by taking time t as a horizontal coordinate and wind power output P as a vertical coordinate in a rectangular coordinate system according to the output process; the analysis process comprises the steps of analyzing a wind power output process line to be formed by connecting a plurality of points, setting a total of N points, respectively using the N points as control points, numbering the control points from left to right in sequence to be 1,2, …, N, and recording the coordinate of the ith control point as (t)i,Pi) 1,2, N, the ordinate P of all control points in the wind power output process lineiComposition sequence { PiThe total time interval length of the line in the wind power output process is 24h, and the time intervals between adjacent control points are kept consistent;
initialization module for input of the sub-unitInterval feature parameter set { M1,M2,...,MRThen initializing the current iteration times r to 1;
wherein M isrThe R-th subinterval characteristic parameter is an integral multiple of unit, R is 1,2, …, R is MrThe number of elements in the set; unit is the time interval between adjacent control points in the wind power output process line;
an interval length determining module, for calculating the subinterval division length according to the current iteration number r as follows,
s=2m
m = M unit
wherein s is the sub-interval length, M is the sub-interval overlap length, and M is Mr
The subinterval segmentation module is used for performing the following segmentation on the wind power output process line according to the subinterval length s,
dividing the part between the (K-1) × m +1 control point and the (K +1) × m +1 control point of a wind power output process line into kth subintervals, wherein K is 1, 2. If it is notThenOtherwiseint (, denotes rounding ";
dividing the part from the Kxm +1 th control point to the Nth control point left by the wind power output process line into a Km +1 th sub-interval;
the first K subintervals are composed of 2m +1 control points, and the coordinates of the control points are recorded asThe K +1 th subinterval isN-Kxm control points, the coordinates of which are recorded in sequence
The trend fitting module is used for performing trend fitting on each subinterval obtained by the subinterval segmentation module to obtain a corresponding fitting sequence; the coordinates of the control points of the fitting sequence of the first K subintervals are recorded asThe coordinates of the control points of the fitting sequence of the K +1 th subinterval are denoted as K1, 2 ( t 1 K + 1 , f , P 1 K + 1 , f ) , ( t 2 K + 1 , f , P 2 K + 1 , f ) , . . . , ( t N - Km K + 1 , f , P N - Km K + 1 , f ) ;
An overlap fit weighting module for performing an overlap portion fit weighting sequence calculation as follows,
k overlapping parts are shared among K +1 subintervals obtained by the subinterval division module, the fitting weighted sequence of each overlapping part is calculated by the following formula,
<math> <mrow> <mmultiscripts> <msubsup> <mi>P</mi> <mi>l</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> <mi>w</mi> </mmultiscripts> <mo>=</mo> <msub> <mi>&lambda;</mi> <mn>1</mn> </msub> <mo>&times;</mo> <msubsup> <mi>P</mi> <mrow> <mi>l</mi> <mo>+</mo> <mi>m</mi> </mrow> <mrow> <mi>k</mi> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> <mo>+</mo> <msub> <mi>&lambda;</mi> <mn>2</mn> </msub> <mo>&times;</mo> <msubsup> <mi>P</mi> <mi>l</mi> <mrow> <mi>k</mi> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mi>f</mi> </mrow> </msubsup> </mrow> </math>
wherein,the ordinate, K ═ 1, 2., K, λ, of the l-th control point in the fitted weighted sequence for the K-th overlap section1、λ2Is a weight coefficient, l 1, 2.., m +1,is the (l + m) th control point ordinate of the fitted sequence for the kth subinterval,is the longitudinal coordinate, lambda, of the ith control point in the fitted sequence of the (k +1) th subinterval1=1-(l-1)/m,λ2=(l-1)/m;
The coordinates of the control points of the fitted weighted sequence of the k-th overlap are recorded asProcessing the K overlapped parts to obtain K fitting weighted sequences, wherein the coordinate of the last control point of the previous fitting weighted sequence is the same as the coordinate of the first control point of the next fitting weighted sequence, and connecting the K fitting weighted sequences after the weight removal end to obtain the fitting weighted sequence of the overlapped part of the whole process line, wherein the sequence comprises K multiplied by m +1 control points;
a process line fitting module for performing the whole process line fitting sequence generation as follows,
fitting the first subinterval to the first m control points of the sequenceAs the first part of the new sequence, the K multiplied by m +1 control points of the fitting weighted sequence of the whole process line overlapping part obtained by the overlapping fitting weighted module are used as the second part, and the last N-K multiplied by m- (m +1) points of the fitting sequence of the K +1 sub-interval are used as the second partAs a third part, sequentially connecting the three parts end to obtain a line fitting sequence in the whole process;
an iteration judgment module for recording the vertical coordinate of the whole process line fitting sequence obtained by the process line fitting module as { Pi,rIf R is less than R, R is equal to R +1, and a command interval length determining module works; if R ═ R, command sensitivityThe degree module works;
a sensitivity module for performing a fluctuation sensitivity planning as follows,
the vertical coordinate sequence { P) of the original wind power output process lineiCombining the sequence and R whole process line fitting sequences obtained by previous iteration to obtain an N (R +1) matrix A;
calculating the standard deviation of the set composed of elements contained in each row of the matrix A in turn and recording the standard deviation as sigmaiI 1, 2.., N, to get a sequence of standard differences { σ }i}; according to sigmaiSorting values from large to small to obtain a standard deviation sequence { sigma'i1,2, N, according to σ'iIn sequence { sigma'iCalculating the corresponding frequency according to the sequence ofObtaining N parameter combinations (sigma'i,ηi) (ii) a In N number (σ'i,ηi) Reading in combination the η closest to the predetermined parameter ηiSigma 'corresponding to'iA value and assigned to a standard deviation threshold parameter σ;
a fluctuation identification module for performing fluctuation identification as follows,
sequence of standard deviations { sigma'iAnd (e), identifying and judging the i values from small to large according to the sequence of the i values, including the step of judging when the sigma is largeriWhen > σ, the corresponding parameters are combined (t)ii) Sequentially encoding the vector as a row vector into a matrix B;
after the identification is finished, the number of rows of the matrix B is recorded as a, the first column of the matrix B is a wind power intraday fluctuation period sequence and is recorded as { t'ii1,2, a, the second column being the fluctuation degree of the corresponding time interval, denoted as { σ'ii},ii=1,2,...,a;
A period identification module for performing continuous period identification as follows,
wind power intraday fluctuation time period sequence { t 'obtained according to fluctuation identification module'iiIdentification of continuous periods in the order of the ii value from small to large, including when t'ii+1-t′iiA-2, where ii is 1,2Combination of parameters (t'ii,σ′ii) Are successively programmed into the matrix C as row vectors, otherwise the corresponding parameters are combined (t'ii,σ′ii) Sequentially encoding the vector as a row vector into a matrix D; when t'a-t'a-1Corresponding parameters are combined (t'a-1,σ'a-1)、(t'a,σ'a) Sequentially compiling the row vectors into the C end of the matrix, otherwise combining the corresponding parameters (t'a-1,σ'a-1)、(t'a,σ'a) Sequentially encoding the row vectors into the tail end of the matrix D;
the first column of the matrix C is a continuous time interval sequence fluctuating within a wind power day, and the second column is the fluctuation degree of a corresponding time interval; the first column of the matrix D is a discontinuous period sequence fluctuating within a wind power day, and the second column is the fluctuation degree of a corresponding period.
CN201410557019.6A 2014-10-20 2014-10-20 Trend fitting based wind power intraday fluctuation continuous period recognition method and system Expired - Fee Related CN104268436B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN201410557019.6A CN104268436B (en) 2014-10-20 2014-10-20 Trend fitting based wind power intraday fluctuation continuous period recognition method and system

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN201410557019.6A CN104268436B (en) 2014-10-20 2014-10-20 Trend fitting based wind power intraday fluctuation continuous period recognition method and system

Publications (2)

Publication Number Publication Date
CN104268436A true CN104268436A (en) 2015-01-07
CN104268436B CN104268436B (en) 2015-06-10

Family

ID=52159957

Family Applications (1)

Application Number Title Priority Date Filing Date
CN201410557019.6A Expired - Fee Related CN104268436B (en) 2014-10-20 2014-10-20 Trend fitting based wind power intraday fluctuation continuous period recognition method and system

Country Status (1)

Country Link
CN (1) CN104268436B (en)

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN106997407A (en) * 2016-12-29 2017-08-01 武汉大学 Wind-resources scene reduction method based on trend fitting

Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2011226326A (en) * 2010-04-16 2011-11-10 Hitachi Ltd Control device and method for wind power generator group
CN103235984A (en) * 2013-04-27 2013-08-07 国家电网公司 Computing method of longitudinal moment probability distribution of power output of wind power station
CN103411774A (en) * 2013-07-17 2013-11-27 华北电力大学 On-line early warning method of wind turbine generating unit on fluctuation working condition

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2011226326A (en) * 2010-04-16 2011-11-10 Hitachi Ltd Control device and method for wind power generator group
CN103235984A (en) * 2013-04-27 2013-08-07 国家电网公司 Computing method of longitudinal moment probability distribution of power output of wind power station
CN103411774A (en) * 2013-07-17 2013-11-27 华北电力大学 On-line early warning method of wind turbine generating unit on fluctuation working condition

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN106997407A (en) * 2016-12-29 2017-08-01 武汉大学 Wind-resources scene reduction method based on trend fitting
CN106997407B (en) * 2016-12-29 2022-08-16 武汉大学 Wind resource scene reduction method based on trend fitting

Also Published As

Publication number Publication date
CN104268436B (en) 2015-06-10

Similar Documents

Publication Publication Date Title
CN116011686B (en) Charging shed photovoltaic power generation reserve prediction method based on multi-data fusion
CN110826791A (en) Hybrid wind power prediction method based on long-time and short-time memory neural network
CN110726898B (en) Power distribution network fault type identification method
CN106099932B (en) Day-ahead planning power flow analysis method considering uncertainty time-space correlation
CN112434891A (en) Method for predicting solar irradiance time sequence based on WCNN-ALSTM
CN114548586B (en) Short-term power load prediction method and system based on hybrid model
CN112736902B (en) STL decomposition-based time series short-term power load prediction method
CN115330096B (en) Method, device and medium for medium-long term prediction of energy data based on time sequence
CN105426989A (en) EEMD and combined kernel RVM-based photovoltaic power short-term prediction method
CN112329339A (en) Short-term wind speed prediction method for wind power plant
CN110991741B (en) Section constraint probability early warning method and system based on deep learning
CN112633565A (en) Photovoltaic power aggregation interval prediction method
CN110766215B (en) Wind power climbing event prediction method based on feature adaptive selection and WDNN
CN104268436B (en) Trend fitting based wind power intraday fluctuation continuous period recognition method and system
CN114118401A (en) Neural network-based power distribution network flow prediction method, system, device and storage medium
Xu et al. NWP feature selection and GCN-based ultra-short-term wind farm cluster power forecasting method
CN110210657B (en) Fan power prediction method and system based on single machine model and computer storage medium
CN110555566B (en) B-spline quantile regression-based photoelectric probability density prediction method
CN113158134B (en) Method, device and storage medium for constructing non-invasive load identification model
CN116050579A (en) Building energy consumption prediction method and system based on depth feature fusion network
CN116128211A (en) Wind-light-water combined short-term optimization scheduling method based on wind-light uncertainty prediction scene
Almohri et al. Data Analysis and Prediction of Power Generated by Photovoltaic Systems
CN112926761A (en) Wind power plant power prediction method
CN110083864A (en) A kind of short-term wind speed forecasting method based on empirical mode decomposition
CN104407972B (en) A kind of embedded software power consumption method of testing based on improvement neutral net

Legal Events

Date Code Title Description
C06 Publication
PB01 Publication
C10 Entry into substantive examination
SE01 Entry into force of request for substantive examination
C14 Grant of patent or utility model
GR01 Patent grant
CF01 Termination of patent right due to non-payment of annual fee
CF01 Termination of patent right due to non-payment of annual fee

Granted publication date: 20150610

Termination date: 20211020