Method of identification and compensation of inherent deviation of yaw error of wind turbine based on true power curve
11649803 · 2023-05-16
Assignee
Inventors
- Qinmin Yang (Hangzhou, CN)
- Yunong Bao (Hangzhou, CN)
- Jiming CHEN (Hangzhou, CN)
- Youxian Sun (Hangzhou, CN)
Cpc classification
F05B2270/802
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F03D17/00
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F05B2260/80
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F03D7/0204
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F05B2270/32
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
Y02E10/72
GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
F03D7/04
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
International classification
F03D7/02
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F03D17/00
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
Abstract
Provided is a method of identification and compensation of an inherent deviation of a yaw error of a wind turbine based on a true power curve. The method, based on a wind turbine data acquisition and monitoring control (SCADA) system includes a wind speed, an active power, and a yaw error and so on, runs data in real-time, first pre-processes the data to a certain degree, and then divides a power curve data according to a certain yaw error interval, fits the power curves according to different yaw error intervals through a true power curve fitting flow in connection with an outlier discrimination method, further quantitatively analyzes the different power curves and determines an interval scope of the yaw error inherent deviation value based on an interval determination criterion, and finally compensates the identified inherent deviation value to a yaw error measurement value.
Claims
1. A method of identification and compensation of an inherent deviation of a yaw error of a wind turbine and control of a wind turbine machine yaw angle based on a true power curve, wherein the method comprises: step 1) of reading, based on identification and compensation requirements of the inherent deviation of the yaw error of the wind turbine to be analyzed, a total of N pieces of operation data information of the wind turbine obtained by measurement in a SCADA system of the wind turbine to be analyzed in a corresponding requirement cycle, the operation data information comprising a wind speed {ν.sub.i}, an active power {P.sub.i} and the yaw error {θ.sub.i}, an information data set being denoted as a wind turbine yaw error inherent deviation analysis data set {X.sub.i}, where i=1, 2, 3, . . . , N; step 2) of dividing the wind turbine yaw error inherent deviation analysis data set {X.sub.i} in the step 1) into M intervals at a yaw error interval, a number of pieces of data in a k.sup.th yaw error interval being denoted as N.sub.k, the yaw error inherent deviation analysis data set intervals being {.sub..Math..sup.k}={(ν.sub..Math., P.sub..Math.)}, where k=1, 2, 3, . . . , M, and .Math.=1, 2, 3, . . . , N.sub.k; step 3) of respectively fitting out M true power curves based on the yaw error inherent deviation analysis data set {
.sub..Math..sup.k} within the M intervals in the step 2), the true power curve within the k.sup.th yaw error interval being denoted as {PC.sub.k}, where k=1, 2, 3, . . . , M; step 4) of calculating respective quantitative performance indexes PI.sub.k of the true power curves {PC.sub.k} within the M yaw error inherent deviation analysis data set intervals in the step 3), where k=1, 2, 3, . . . , M; step 5) of determining an identification result of a yaw error inherent deviation value θ.sub.im of the wind turbine through a yaw error inherent deviation identification criterion, and directly compensating an actual measured value θ of the yaw error with the yaw error inherent deviation value θ.sub.im directly in a form of an increment, so as to obtain a final compensated true yaw error θ′, where θ′=θ+θ.sub.im; wherein the yaw error inherent deviation identification criterion is defined by: sorting the respective quantitative performance indexes PI.sub.k of the true power curves {PC.sub.k} within all the M yaw error inherent deviation analysis data set intervals in the step 4) in descending order, and determining an interval subscript k′ corresponding to a maximum quantitative performance index PI.sub.max; and wherein a calculation formula of the identification result of the yaw error inherent deviation value θ.sub.im is as follows:
2. The method of identification and compensation of the inherent deviation of the yaw error of the wind turbine and control of a wind turbine machine yaw angle based on the true power curve according to claim 1, wherein in the step 2), said dividing the yaw error inherent deviation analysis data set {X.sub.i} into intervals comprises: step 2-a) of plotting a frequency distribution histogram of the yaw error {θ.sub.i}, and setting, based on distribution of the frequency distribution histogram, the lower bound θ.sub..Math.b and the upper bound θ.sub.ub of the yaw error interval to be analyzed; step 2-b) of setting a number of intervals, into which the yaw error inherent deviation analysis data set {X.sub.i} is divided, as M; and step 2-c) of dividing, with .sub..Math..sup.k}.
3. The method of identification and compensation of the inherent deviation of the yaw error of the wind turbine and control of a wind turbine machine yaw angle based on the true power curve according to claim 1, wherein in the step 3), a flow for obtaining the true power curves of the wind turbine within M yaw error intervals comprises: step 3-a) of setting a true power curve obtaining initial interval k=1; step 3-b) of normalizing wind speed information and power information in the yaw error inherent deviation analysis data set {.sub..Math..sup.k} within the k.sup.th yaw error interval by maximum-minimum normalization, the normalized yaw error inherent deviation analysis data set being denoted as {
.sub.norm,.Math..sup.k}, where .Math.=1, 2, 3, . . . , N.sub.k; step 3-c) of dividing, respectively according to a wind speed interval (ws) and a power interval (ap), the normalized yaw error inherent deviation analysis data set {
.sub.norm,.Math..sup.k} in the step 3-b) into M′ intervals, a number of pieces of data within a j.sup.th interval being denoted as M.sub.k,seg,j′, the normalized yaw error inherent deviation analysis data set within the j.sup.th interval being denoted as {
.sub.norm,n.sup.k,seg,j}, where seg={ws,ap}, j=1,2,3, . . . ,M′, n=1,2,3, . . . ,M.sub.k,seg,j′; step 3-d) of carrying out, by using an average distance discrimination (AVDC) outlier detection algorithm, suspected outlier detection within 2 M′ intervals {
.sub.norm,n.sup.k,seg,j} in the step 3-c), a number of suspected outliers within the j.sup.th interval being denoted as m.sub.AVDC.sup.k,seg,j, a suspected outlier set in the normalized yaw error inherent deviation analysis data set being denoted as {Outlier.sub.sus,AVDC.sup.k,seg,j}, where seg={ws, ap}, j=1, 2, 3, . . . , M′, n=1, 2, 3, . . . , M.sub.k,seg,j′; wherein the average distance discrimination (AVDC) outlier detection algorithm lies in: for an interval in which the number M.sub.k,seg,j′ of pieces of data is smaller than a given minimum threshold δ.sub.M′, . . . , determining that the suspected outlier set {Outlier.sub.sus,AVDC.sup.k,seg,j} in the normalized yaw error inherent deviation analysis data set within the interval is Ø; otherwise, for a j.sup.th wind speed interval or a j.sup.th power interval, first calculating a discrimination distance dist.sub.norm,n.sup.k,seg,j of each wind speed-power data point (ν.sub.norm,n.sup.k,seg,j,P.sub.norm,n.sup.k,seg,j) in the normalized yaw error inherent deviation analysis data set {
.sub.norm,n.sup.k,seg,j} within the interval, further setting a suspected outlier proportion η.sub.k,seg,j.sup.AVDC and determining the number m.sub.AVDC.sup.k,seg,j of the suspected outliers within the j.sup.th interval, determining first m.sub.AVDC.sup.k,seg,j pieces of data by sorting the discrimination distance dist.sub.norm,n.sup.k,seg,j in descending order to constitute the suspected outlier set {Outlier.sub.sus,AVDC.sup.k,seg,j} in the normalized yaw error inherent deviation analysis data set within the j.sup.th interval; wherein a calculation formula of the discrimination distance dist.sub.norm,n.sup.k,seg,j is as follows:
,
are respectively an average power within the j.sup.th wind speed interval and an average wind speed within the j.sup.th power interval in the normalized yaw error inherent deviation analysis data set, where n=1, 2, 3, . . . , M.sub.k,seg,j′; step 3-e) of carrying out, by respectively using two outlier detection algorithms of local outlier factor (LOF) and density-based spatial clustering of applications with noise (DBSCAN), discrimination outlier detection within the 2 M′ intervals {
.sub.norm,n.sup.k,seg,j} in the step 3-c), a number of discrimination outliers within the j.sup.th interval being denoted as m.sub.method.sup.k,seg,j, a discrimination outlier set in the normalized yaw error inherent deviation data set within the j.sup.th interval being denoted as {Outlier.sub.jud,method.sup.k,seg,j}, where seg={ws,ap}, j=1, 2, 3, . . . ,M′, n=1, 2, 3, . . . , M.sub.k,seg,j′, method={LOF, DBSCAN}; step 3-f) of obtaining, based on a true outlier discrimination criterion, a true outlier set {Outlie.sub.true.sup.k,seg,j} from the suspected outlier set {Outlier.sub.sus,AVDC.sup.k,seg,j} in the normalized yaw error inherent deviation analysis data set in the step 3-d) and the discrimination outlier set {Outlier.sub.jud,method.sup.k,seg,j} in the normalized yaw error inherent deviation analysis data set in the step 3-e), where seg={ws, ap}, j=1, 2, 3, . . . , M′, method={LOF,DBSCAN}; wherein the true outlier discrimination criterion is defined as: for any data point Q in the normalized yaw error inherent deviation analysis data set {
.sub.norm,n.sup.k,seg,j} if the data point Q belongs to the suspected outlier set {Outlier.sub.sus,AVDC.sup.k,seg,j} and belongs to one of the LOF discrimination outlier set {Outlier.sub.jud,LOF.sup.k,seg,j} or DBSCAN discrimination outlier set {Outlie.sub.jud,DBSCAN.sup.k,seg,j}, then the point Q is a true outlier within the j.sup.th interval; step 3-g) of obtaining, based on the true outlier set {Outlier.sub.true.sup.k,ws,j} within each wind speed interval and the true outlier set {Outlier.sub.true.sup.k,ws,j} within each power interval obtained in the step 3-f) and by using a final outlier discrimination criterion, a final outlier discrimination result set {Outlier.sub.true.sup.k,ws,j} of the yaw error inherent deviation analysis data set {
.sub..Math..sup.k} and eliminating final outlier discrimination result set, a yaw error inherent deviation analysis standard data set, from which outliers have been eliminated, being denoted as {
.sub..Math..sup.k}; wherein the final outlier discrimination criterion is defined as: for any data point Q′ in the yaw error inherent deviation analysis data set {
.sub..Math..sup.k}, if its corresponding data point Q in the normalized yaw error inherent deviation analysis data set {
.sub.norm,n.sup.k,seg,j} is a true outlier within a wind speed interval or within a power interval, then the point Q′ is a final outlier in the yaw error inherent deviation analysis data set {
.sub..Math..sup.k}; step 3-h) of determining a maximum value ν.sub.max corresponding to a wind speed in the yaw error inherent deviation analysis standard data set {
.sub.std, .Math..sup.k} obtained in the step 3-g), and further dividing, with a constant wind speed interval Δν by which the wind speed is divided into intervals and based on the wind speed information, the yaw error inherent deviation analysis standard data set {
.sub.std, .Math..sup.k} within the k.sup.th yaw error interval, a yaw error inherent deviation analysis standard data set {
.sub.q,m.sup.k} within a q.sup.th wind speed interval being defined as:
{}={(ν.sub.m,P.sub.m)∈{
.sub.Std.Math..sup.k}|(q−1)Δν≤ν.sub.m≤ν.sub.m<qΔν}q=1,2,3, . . . ,M.sub.km=1,2,3, . . . ,M.sub.k,q, where M.sub.k,q is a number of pieces of data in the yaw error inherent deviation analysis standard data set {
.sub.q,m.sup.k} within the q.sup.th wind speed interval; M.sub.k is a number of wind speed intervals of the yaw error inherent deviation analysis standard data set {
.sub.std,.Math..sup.k} within the k.sup.th yaw error interval, and a calculation formula is as follows:
and an average power
in the yaw error inherent deviation analysis data set {
.sub.q,m.sup.k} within each wind speed interval, and respectively normalizing all average wind speed values and average power values, to obtain a normalized average wind speed ν.sub.norm.sup.k,q and a normalized average power P.sub.norm.sup.k,q; step 3-j) of determining, based on the average wind speed
and the average power
a power curve fitting center point C.sub.k.sup.q within each wind speed interval, a determination method being: if a number of pieces of data in the yaw error inherent deviation analysis standard data set {
.sub.q,m.sup.k} within the j.sup.th wind speed interval is M.sub.k,q=0, then determining that there is no power curve fitting center point; otherwise, determining that the power curve fitting center point is C.sub.k.sup.q=(
,
); step 3-k) of supplementing a definition center point C.sub.k.sup.0=(0,0), a number of power curve fitting center points within the k.sup.th yaw error interval being denoted as M.sub.k′, and calculating a parameter value
d.sub.k.sup.r=√{square root over ((ν.sub.norm.sup.k,r−ν.sub.norm.sup.k,r-1).sup.2+(P.sub.norm.sup.k,r−P.sub.norm.sup.k,r-1).sup.2)}, where d.sub.k is a total chord length after coordinates corresponding to all the power curve fitting center points are normalized, and
4. The method of identification and compensation of the inherent deviation of the yaw error of the wind turbine and control of a wind turbine machine yaw angle based on the true power curve according to claim 3, wherein in the step 3-c), said dividing the normalized yaw error inherent deviation analysis data set {.sub.norm,.Math..sup.k} into intervals comprises: step 3-c-a) of determining a number of intervals, into which the normalized yaw error inherent deviation analysis data set {
.sub.norm,.Math..sup.k} is divided, as M′; and step 3-c-b) of evenly dividing the data set {
.sub.norm,.Math..sup.k} with
.sub.norm,n.sup.k,ws,j} and {
.sub.norm,n.sup.k,ap,j} within each wind speed interval and each power interval.
5. The method of identification and compensation of the inherent deviation of the yaw error of the wind turbine and control of a wind turbine machine yaw angle based on the true power curve according to claim 3, wherein in the step 3-d), said carrying out, by using the average distance discrimination (AVDC) outlier detection algorithm, suspected outlier detection within each interval of {.sub.norm,n.sup.k,seg,j} comprises an algorithm flow comprising: step 3-d-a) of setting an initial outlier detection interval j=1; step 3-d-b) of, if the number M.sub.k,seg,j of pieces of the data in the normalized yaw error inherent deviation analysis data set {
.sub.norm,n.sup.k,seg,j} corresponding to the j.sup.th interval is smaller than the given minimum threshold δ.sub.M′, then determining that the number m.sub.AVDC.sup.k,seg,j of the suspected outliers within the j.sup.th interval is 0 and the suspected outlier set {Outlier.sub.sus,AVDC.sup.k,seg,j} in the normalized yaw error inherent deviation analysis data set within the j.sup.th interval is Ø, and skipping to step 3-d-g) to continue the algorithm flow; otherwise, proceeding to step 3-d-c); step 3-d-c) of setting a proportion η.sub.k,seg,j.sup.AVDC of suspected outliers in the normalized yaw error inherent deviation analysis data set {
.sub.norm,n.sup.k,seg,j} within the j.sup.th interval, and calculating the number m.sub.AVDC.sup.k,seg,j of the suspected outliers within the j.sup.th interval, a calculation formula being defined as:
M.sub.AVDC.sup.k,seg,j=┌M.sub.k,seg,j′×η.sub.k,seg,j.sup.AVDC┐, where the ┌.Math.┐function is an up-rounding function; step 3-d-d) of calculating a wind speed discrimination distance dist.sub.norm,n.sup.k,ws,j of each data point (ν.sub.norm,n.sup.k,ws,j,P.sub.norm,n.sup.k,ws,j) in the normalized yaw error inherent deviation analysis data set {.sub.norm,n.sup.k,ws,j} within the j.sup.th wind speed interval, a calculation formula being as follows,
dist.sub.norm,n.sup.k,ws,j=|P.sub.norm,n.sup.k,ws,j−|n=1,2,3, . . . ,M.sub.k,ws,j′, where
is an average power of the normalized yaw error inherent deviation analysis data set within the j.sup.th wind speed interval; step 3-d-e) of calculating a power discrimination distance dist.sub.norm,n.sup.k,ap,j of each data point (ν.sub.norm,n.sup.k,ap,j,P.sub.norm,n.sup.k,ap,j) in the normalized yaw error inherent deviation analysis data set {
.sub.norm,n.sup.k,ap,k} within the j.sup.th power interval, a calculation formula being as follows:
dist.sub.norm,n.sup.k,ap,j=|ν.sub.norm,n.sup.k,ap,j=|n=1,2,3, . . . ,M.sub.k,ap,j′, where
is an average wind speed of the normalized yaw error inherent deviation analysis data set within the j.sup.th power interval; step 3-d-f) of sorting respectively the discrimination distance data set {dist.sub.norm,n.sup.k,seg,j} within the j.sup.th interval in descending order, and respectively selecting the first M.sub.AVDC.sup.k,seg,j pieces of data in the sorted discrimination distance data set, to constitute the suspected outlier set {Outlier.sub.sus,AVDC.sup.k,seg,j} in the normalized yaw error inherent deviation analysis data set within the j.sup.th interval, where n=1, 2, 3, . . . , M.sub.k,ap,k′; and step 3-d-g) of setting the detection interval j=j+1, and repeating the step 3-d-b) to the step 3-d-f) until j>M′.
6. The method of identification and compensation of the inherent deviation of the yaw error of the wind turbine and control of a wind turbine machine yaw angle based on the true power curve according to claim 1, wherein in the step 4), the quantitative performance indexes PI.sub.k are as follows:
F(ν)=1−e.sup.−(πν.sup.
Description
BRIEF DESCRIPTION OF DRAWINGS
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DESCRIPTION OF EMBODIMENTS
(15) The specific implementation method and working principle of the present disclosure are described in detail below with reference to the accompanying drawings.
Embodiment
(16) Since it is difficult for wind conditions under which a wind turbine in a wind farm operates in different time periods to be completely consistent, for verification of validity of a patented method of the present disclosure, data used in this embodiment are simulation data of GH Bladed 3.82 under a same type of wind turbines and a same wind file, and the data are used to analyze and study the method of identification and compensation of an inherent deviation of a yaw error of a wind turbine. A data sampling interval is 10 min. Data information is for 5 years, and there is a total of 284,405 pieces. Relevant information included in a data set is shown in Table 1 and Table 2.
(17) TABLE-US-00001 TABLE 1 Part of simulation data of a certain type of wind turbine under a certain wind file under GH Bladed 3.82 Ambient Ambient Data No. Wind Speed Active Power Temperature Pressure Yaw Error . . . . . . . . . . . . . . . . . . 105679 4.2992 81.0290 25.0000 100463.2887 5.7852 105680 4.5417 81.8810 25.0000 100463.2887 15.2980 105681 4.9667 82.8700 25.0000 100463.2887 1.6641 . . . . . . . . . . . . . . . . . . 235640 11.6990 1504.7000 25.0000 100463.2887 6.0619 235641 11.5200 1549.5000 25.0000 100463.2887 9.1317 235642 11.1470 1550.0000 25.0000 100463.2887 −0.0520 . . . . . . . . . . . . . . . . . .
(18) TABLE-US-00002 TABLE 2 Simulation data set variable information for a certain type of wind turbine under GH Bladed 3.82 Variable Name Variable Meaning Variable Unit Wind Speed v current wind turbine nacelle m/s wind speed Active Power P current wind turbine active kW power Ambient wind turbine operation ° C. Temperature T environment temperature Ambient Pressure B wind turbine operation Pa environment pressure Yaw Error θ current wind turbine yaw ° error
(19) It is worth mentioning that the yaw error obtained by measurement under GH Bladed has no yaw error inherent deviation that exists in a measurement process of the anemometer in an actual application process. Thus, in the simulation process, a phenomenon that there is a yaw error inherent deviation of −5° in the actual process is simulated in such a manner in which the measured value is artificially added by 5°. In this embodiment, an implementation of the yaw error inherent deviation identification and compensation method is performed by using all the above simulation data by default, and the result of the method is the obtained identification result of the yaw error inherent deviation of the wind turbine and the effectiveness of the method is verified by compensation methods. The detailed implementation steps are as follows:
(20) 1), reading, based on identification and compensation requirements of the inherent deviation of the yaw error of the wind turbine to be analyzed, a total of N pieces of operation data information of the wind turbine obtained by measurement in a SCADA system of the wind turbine to be analyzed in a corresponding requirement cycle, the information including a wind speed {ν.sub.i}, an active power {P.sub.i} and a yaw error {θ.sub.i}, and an information data set being denoted as a wind turbine yaw error inherent deviation analysis data set {X.sub.i}, where i=1, 2, 3, . . . , N; according to description of the data set variable information listed in Table 1 and Table 2, the data set in this embodiment includes all necessary information in this step, and a result shown in
(21) 2) dividing the wind turbine yaw error inherent deviation analysis data set {X.sub.i} in the step 1) into M intervals by a certain yaw error interval, a number of pieces of data in a k.sup.th yaw error interval being denoted as N.sub.k, the yaw error inherent deviation analysis data set being denoted as {.sub..Math..sup.k}={(ν.sub..Math., P.sub..Math.)}, where k=1, 2, 3, . . . , M, and .Math.=1, 2, 3, . . . , N.sub.k; steps of a preferred method for an interval division of the yaw error inherent deviation analysis data set {X.sub.i} are as follows but not limited thereto:
(22) 2-a) plotting a frequency distribution histogram of the yaw error {θ.sub.i}, and setting, based on distribution of the frequency distribution histogram, a lower bound θ.sub..Math.b and an upper bound θ.sub.ub of the yaw error interval to be analyzed; the yaw error frequency distribution histogram in this embodiment is as shown in
(23) 2-b) setting the number M of interval into which the yaw error inherent deviation analysis data set {X.sub.i} is divided; in this embodiment, M takes 20;
(24) 2-c) dividing, with
(25)
as a yaw error division interval, the yaw error inherent deviation analysis data set {X.sub.i}, and retaining only wind speed and power information as the yaw error inherent deviation analysis data set {.sub..Math..sup.k}. In this embodiment, due to space limitation, only a data scatter plot of the power curve corresponding to a yaw error interval [−10°, 0° ] is given, as shown in
(26) 3) based on the yaw error inherent deviation analysis data set {.sub..Math..sup.k} within the M intervals in the step 2), respectively fitting out M true power curves, and a true power curve within a k.sup.th yaw error interval being denoted as {PC.sub.k}, where k=1, 2, 3, . . . , M; a preferred algorithm flow for obtaining the wind turbine true power curve is as follows:
(27) 3-a) setting a true power curve obtaining initial interval k=1;
(28) 3-b) normalizing wind speed information and the power information in the yaw error inherent deviation analysis data set {.sub..Math..sup.k} within the k.sup.th yaw error interval by maximum-minimum normalization, the normalized yaw error inherent deviation analysis data set being denoted as {
.sub.norm,.Math..sup.k}, where .Math.=1, 2, 3, . . . , N.sub.k; in this embodiment, the scatter plot of the normalized yaw error inherent deviation analysis data set {
.sub.norm,.Math..sup.k} is shown by black data points in
(29) 3-c) dividing, respectively according to a certain wind speed interval (ws) and power interval (ap), the normalized yaw error inherent deviation analysis data set {.sub.norm,.Math..sup.k} in the step 3-b) into M′ intervals, and a number of pieces of data within a j.sup.th interval being denoted as M.sub.k,seg,j′, the normalized yaw error inherent deviation analysis data set within the j.sup.th interval being denoted as {
.sub.norm,n.sup.k,seg,j}, where seg={ws, ap}, j=1, 2, 3, . . . , M′, n=1, 2, 3, . . . , M.sub.k,seg,j′; a preferred division method for the normalized yaw error inherent deviation analysis data set {
.sub.norm,.Math..sup.k} is specifically as follows but not limited thereto:
(30) 3-c-a) determining the number of intervals into which the normalized yaw error inherent deviation analysis data set {.sub.norm,.Math..sup.k} is divided as M′; in this embodiment, M′ takes 20;
(31) 3-c-b) evenly dividing the data set {.sub.norm,.Math..sup.k} with
(32)
as a division interval and respectively according to the wind speed and the power, to obtain the normalized yaw error inherent deviation analysis data sets {.sub.norm,n.sup.k,ws,j} and {
.sub.norm,n.sup.k,ap,j} within each wind speed interval and each power interval. In this embodiment, the wind speed & power division relevant results are shown by a dashed line and a dot dashed line in
(33) 3-d) carrying out, by using an average distance discrimination (AVDC) outlier detection algorithm, suspected outlier detection within 2 M′ intervals {.sub.norm,n.sup.k,seg,j} in the step 3-c), and the number of the suspected outliers within the j.sup.th interval being denoted as m.sub.AVDC.sup.k,seg,j, a suspected outlier set in the normalized yaw error inherent deviation analysis data set being denoted as {Outliers.sub.sus,AVDC.sup.k,seg,j}, where seg={ws, ap}, j=1, 2, 3, . . . , M′ n=1, 2, 3, . . . , M.sub.k,seg,j′; the average distance discrimination (AVDC) outlier detection algorithm is used to detect suspected outliers within each interval in {
.sub.norm,n.sup.k,seg,j} and a detailed flow of the algorithm is as follows:
(34) 3-d-a) setting an initial outlier detection interval j=1;
(35) 3-d-b) if the number M.sub.k,seg,j′ of pieces of data in the normalized yaw error inherent deviation analysis data set {.sub.norm,n.sup.k,seg,j}corresponding to the j.sup.th interval is smaller than a given minimum threshold δ.sub.M′, then determining that the number m.sub.AVDC.sup.k,seg,j of the suspected outliers within the j.sup.th interval is 0 and the suspected outlier set {Outlier.sub.sus,AVDC.sup.k,seg,j} in the normalized yaw error inherent deviation analysis data set within the j.sup.th interval is Ø, and skipping to a step 3-d-g) to continue the flow; otherwise, proceeding to a step 3-d-c);
(36) 3-d-c) setting a proportion η.sub.k,seg,j.sup.AVDC of suspected outliers in the normalized yaw error inherent deviation analysis data set {.sub.norm,n.sup.k,seg,j} within the j.sup.th interval, and calculating the number m.sub.AVDC.sup.k,seg,j of the suspected outliers within the j.sup.th interval, and a calculation formula is defined as:
m.sub.AVDC.sup.k,seg,j=┌M.sub.k,seg,j′×.Math..sub.k,seg,j.sup.AVDC┐,
where the ┌.Math.┐function is an up-rounding function;
(37) 3-d-d) calculating a wind speed discrimination distance dist.sub.norm,n.sup.k,ws,j of each data point (ν.sub.norm,n.sup.k,ws,j, P.sub.norm,n.sup.k,ws,j) in the normalized yaw error inherent deviation analysis data set {.sub.norm,n.sup.k,ws,j} within a j.sup.th wind speed interval, and a calculation formula is as follows,
dist.sub.norm,n.sup.k,ws,j=|P.sub.norm,n.sup.k,ws,j−|n=1,2,3, . . . ,M.sub.k,ws,j′
where is an average power of the normalized yaw error inherent deviation analysis data set within the j.sup.th wind speed interval;
(38) 3-d-e) calculating the power discrimination distance dist.sub.norm,n.sup.k,ap,j of each data point (ν.sub.norm,n.sup.k,ap,j, P.sub.norm,n.sup.k,ap,j) in the normalized yaw error inherent deviation analysis data set {.sub.norm,n.sup.k,ap,j} within the j.sup.th power interval, and a calculation formula is as follows:
dist.sub.norm,n.sup.k,ap,j=|ν.sub.norm,n.sup.k,ap,j=|n=1,2,3, . . . ,M.sub.k,ap,j′
where is an average wind speed of the normalized yaw error inherent deviation analysis data set within the j.sup.th power interval;
(39) 3-d-f) sorting respectively the discrimination distance data set {dist.sub.norm,n.sup.k,seg,j} within the j.sup.th interval in descending order, and respectively selecting the first m.sub.AVDV.sup.k,seg,j data in the sorted discrimination distance data set to constitute the suspected outlier set {Outlier.sub.sus,AVDV.sup.k,seg,j} in the normalized yaw error inherent deviation analysis data set within the j.sup.th interval, where n=1, 2, 3, . . . , M.sub.k,ap,j′;
(40) 3-d-g) setting the detection interval j=j+1, and repeating the step 3-d-b) to the step 3-d-f) until j>M′. Due to space limitations, all relevant analysis about the outliers in this embodiment omits calculation processes and results of each process parameter. Values of relevant important parameters are taken as follows: taking the given minimum threshold SM, as 10 and taking the suspected outlier proportion η.sub.k,seg,j.sup.AVDC as 0.02. Finally, the detected suspected outliers in the normalized yaw error inherent deviation data set according to the wind speed interval (ws) and the power interval (ap) are respectively indicated by “x” symbols in
(41) 3-e) carrying out, by respectively using two outlier detection algorithms of local outlier factor (LOF) and density-based spatial clustering of applications with noise (DBSCAN), discrimination outlier detection within the 2 M′ intervals {.sub.norm,n.sup.k,seg,j} in the step 3-c), and the number of the discrimination outliers within the j.sup.th interval being denoted as m.sub.method.sup.k,seg,j, a discrimination outlier set in the normalized yaw error inherent deviation data set within the j.sup.th interval being denoted as {Outlier.sub.jud,method.sup.k,seg,j}, where seg={ws, ap}, j=1, 2, 3, . . . , M′, n=1, 2, 3, . . . , M.sub.k,seg,j′, method={LOF, DBSCAN}; in this embodiment, values of the relevant important parameters about the LOF discrimination outlier detection are taken as follows: taking the given minimum threshold δ.sub.M′ as 10, taking the LOF discrimination outlier proportion η.sub.k,seg,j.sup.LOF as 0.02, taking a neighborhood parameter k in the k distance calculation as 10; values of the relevant important parameters about the DBSCAN discrimination outlier detection are taken as follows: taking the given minimum threshold δ.sub.M′, as 10, taking the E neighborhood discrimination radius eps as 0.02, taking a core point discrimination parameter MinPts as 10. Finally, the detected LOF and DBSCAN discrimination outliers in the normalized yaw error inherent deviation data set according to the wind speed interval (ws) and the power interval (ap) are respectively indicated by the “x” symbols in
(42) 3-f) obtaining, based on a true outlier discrimination criterion, a true outlier set {Outlier.sub.true.sup.k,seg,j} from the suspected outlier set {Outliers.sub.sus,AVDC.sup.k,seg,j} in the normalized yaw error inherent deviation analysis data set in the step 3-d) and the discrimination outlier set {Outlier.sub.jud,method.sup.k,seg,j} in the normalized yaw error inherent deviation analysis data set in the step 3-e), where seg={ws, ap}, j=1, 2, 3, . . . , M′, method={LOF, DBSCAN};
(43) The true outlier discrimination criterion is defined as: for any data point Q in the yaw error inherent deviation analysis data set {.sub.norm,n.sup.k,seg,j} within the j.sup.th interval, if the data point Q belongs to the suspected outlier set {Outlier.sub.sus,AVDC.sup.k,seg,j} and belongs to one of the LOF discrimination outlier set {Outlier.sub.jud,LOF.sup.k,seg,j} or DBSCAN discrimination outlier set {Outlier.sub.jud,DBSCAN.sup.k,seg,j}, then the point Q is a true outlier within the j.sup.th interval; in this embodiment, the detected true outliers in the normalized yaw error inherent deviation analysis data set according to the wind speed interval (ws) and the power interval (ap) determined based on the true outlier determination criterion are respectively indicated by the “x” symbols in
(44) 3-g) obtaining, based on the true outlier set {Outlier.sub.true.sup.k,ws,j} within each wind speed interval and the true outlier set {Outlier.sub.true.sup.k,ap,j} within each power interval obtained in the step 3-f) and by using a final outlier discrimination criterion, a final outlier discrimination result set {Outlier.sub.k} of the yaw error inherent deviation analysis data set {.sub..Math..sup.k} and eliminating it, and a yaw error inherent deviation analysis standard data set, from which outliers have been eliminated, being denoted as {γΣ.sub.std,.Math..sup.k};
(45) The final outlier discrimination criterion is defined as: for any data point Q′ in the yaw error inherent deviation analysis data set {.sub..Math..sup.k}, if its corresponding data point Q in the normalized yaw error inherent deviation analysis data set {
.sub.norm,n.sup.k,seg,j} is a true outlier within a certain wind speed interval or a true outlier within a certain power interval, then the point Q′ is a final outlier of the yaw error inherent deviation analysis data set {
.sub..Math..sup.k}. In this embodiment, the detected true outliers of the normalized yaw error inherent deviation analysis data set based on the final outlier determination criterion, i.e., the data set {Outlier.sub.k}, are indicated by the “x” symbols in
(46) 3-h) determining a maximum value ν.sub.max corresponding to a wind speed in the yaw error inherent deviation analysis standard data set {.sub.std,.Math..sup.k} obtained in the step 3-g); and further dividing, with a constant wind speed interval Δν by which the wind speed is divided into intervals and based on the wind speed information, the yaw error inherent deviation analysis standard data set {
.sub.std.Math..sup.k} within the k.sup.th yaw error interval, then the yaw error inherent deviation analysis standard data set {
.sub.std,.Math..sup.k} within a q.sup.th wind speed interval being defined as:
{}={(ν.sub.m,P.sub.m)∈{
.sub.Std.Math..sup.k}|(q−1)Δν≤ν.sub.m≤ν.sub.m<qΔν}q=1,2,3, . . . ,M.sub.km=1,2,3, . . . ,M.sub.k,q,
where M.sub.k,q is the number of pieces of data in the yaw error inherent deviation analysis standard data set {.sub.q,m.sup.k} within the q.sup.th wind speed interval; M.sub.k is the number of wind speed intervals of the yaw error inherent deviation analysis standard data set {
.sub.std,.Math..sup.k} within the k.sup.th yaw error interval. A calculation formula is as follows:
(47)
where a ┌.Math.┐function is an up-rounding function;
(48) 3-i) calculating an average wind speed and an average power
in the yaw error inherent deviation analysis data set {
.sub.q,m.sup.k} within each wind speed interval, and respectively normalizing all average wind speed values and average power values with maximum-minimum normalization, to obtain a normalized average wind speed ν.sub.norm.sup.k,q and a normalized average power P.sub.norm.sup.k,q;
(49) 3-j) determining, based on the average wind speed and the average power
, a power curve fitting center point C.sub.k.sup.q within each wind speed interval, and a determination method is as follows: if the number of pieces of data in the yaw error inherent deviation analysis standard data set {
.sub.q,m.sup.k} within the j.sup.th wind speed interval is M.sub.k,q=0, then determining that there is no power curve fitting center point within this interval; otherwise, determining that the power curve fitting center point within this interval is C.sub.k.sup.q=(
,
);
(50) 3-k) supplementing a definition center point C.sub.k.sup.0=(0,0), the number of the power curve fitting center points within the k.sup.th yaw error interval being denoted as M.sub.k′, calculating a parameter value
(51)
where d.sub.k.sup.r is a chord length after coordinates corresponding to two adjacent power curve fitting center points C.sub.k.sup.r and C.sub.k.sup.r-1 are normalized, i.e.,
d.sub.k.sup.r=√{square root over ((ν.sub.norm.sup.k,r−ν.sub.norm.sup.k,r-1).sup.2+(P.sub.norm.sup.k,r−P.sub.norm.sup.k,r-1).sup.2)},
d.sub.k is a total chord length after coordinates corresponding to all the power curve fitting center points are normalized, i.e.,
(52)
(53) 3-l) fitting the power curve within the k.sup.th yaw error interval by using a least squares B-spline fitting algorithm, and a fitting function B.sub.k(t) thereof is defined as follows:
(54)
where N.sub.r,p(t) is a standard function of the r.sup.th segment B-spline fitting function with an order p, t is an independent variable of the least square B-spline fitting function, b.sub.k.sup.r is an r.sup.th control point of the least squares B-spline fitting function; t.sub.k.sup.s is a segment node, s=0, 1, 2, . . . , p−1, p, p+1, . . . , M.sub.k′−1, M.sub.k′, M.sub.k′+1, . . . , M.sub.k+p, and a calculation formula is as follows:
(55)
(56) 3-m) determining, based on a following least squares optimization function, all the control points {b.sub.k.sup.r} in the B-spline fitting function B.sub.k(t):
(57)
(58) 3-n) converting the solved least squares B-spline fitting function B.sub.k(t) into a polynomial form whose independent variable is the wind speed ν, as the true power curve result within the k.sup.th yaw error interval {PC.sub.k};
(59) 3-o) setting the interval k=k+1 to be analyzed, and repeating the step 3-b) to the step 4-n) until j>M. Due to space limitations, calculation processes and secondary results of each process parameter about fitting of the power curve in this embodiment are omitted. Values of the relevant important parameters are taken as follows: the corresponding maximum value of the wind speed is ν.sub.max=28.9760 m/s, the constant wind speed interval is Δν=2 m/s, the number of the wind speed intervals in the power curve related data within a 14.sup.th yaw error interval [−1°, 0° ] is 15, and the corresponding true power curve fitting center points and the fitting result are indicated by “n” symbols and the curve shown in
(60) 4) calculating respective quantitative performance indexes PI.sub.k of the true power curves {PC.sub.k} within the M yaw error intervals in the step 3), where k=1, 2, 3, . . . , M; a preferred definition of the quantitative performance index PI.sub.k is as follows but not limited to:
(61)
where N.sub.h is a value of hours into which 1 year is converted; CAP is a rated power of the wind turbine to be analyzed; ν.sub.j,cor.sup.k,mid is an median wind speed within the k.sup.th yaw error interval and within the j.sup.th wind speed interval, i.e., ν.sub.j,cor.sup.k,mid=0.5(2j−1)Δν, and ν.sub.0,cor.sup.k,mid 0; P.sub.j.sup.k,mid is a power value corresponding to ν.sub.j,cor.sup.k,mid on the true power curve {PC.sub.k} within the k.sup.th yaw error interval, ν.sub.0.sup.k,mid=0; the F(.Math.) function is a cumulative probability distribution function of the Rayleigh distribution, and the specific formula is as follows:
F(ν)=1−e.sup.−(πν.sup.
where ν.sub.ave is an annual average wind speed of the wind turbine to be analyzed. In this embodiment, values of the relevant important parameters are taken as follows: N.sub.h is taken as 8760 when considering that there are 365 days in 1 year; CAP is the rated power value of this type of wind turbine, and taken as 1550 kW; ν.sub.ave is taken as the average wind speed 7 m/s of the simulated wind file, and the calculation result of the respective quantitative performance indexes PI.sub.k of the true power curves within the corresponding 20 yaw error intervals are shown in
(62) 5) determining an identification result of a yaw error inherent deviation value θ.sub.im of the wind turbine through a yaw error inherent deviation identification criterion, and directly compensating an actual measured value θ of the yaw error with the deviation value θ.sub.im directly in a form of an increment, so as to obtain the final compensated true yaw error θ′, i.e., θ′=θ+θ.sub.im;
(63) the yaw error inherent deviation identification criterion being defined as follows: sorting the quantitative performance indexes PI.sub.k of the true power curves {PC.sub.k} within all the M yaw error intervals in the step 4) in descending order, and determining an interval subscript k′ corresponding to a maximum quantitative performance index PI.sub.max, and the calculation formula of the identification result of the yaw error inherent deviation value θ.sub.im is as follows:
(64)
where θ.sub..Math.b and θ.sub.ub are the lower and upper bounds of the yaw error interval to be analyzed, respectively. In this embodiment, the maximum value PI.sub.max of the quantitative performance index PI.sub.k of the true power curve in
(65) So far, the validity and practicability of the method of identification and compensation of an inherent deviation of a yaw error of a wind turbine based on the true power curve have been successfully verified on the simulation data set of the GH Bladed 3.82 simulation software.
(66) The identification and compensation method of the yaw error inherent deviation of the wind turbine based on the true power curve in the present disclosure mainly includes processes of the yaw error-based interval division, the wind turbine power curve data outlier detection, the wind turbine true power curve fitting, the power curve quantitative index calculation, and the yaw error inherent deviation identification and compensation, and so on.