SYSTEM AND METHODS FOR AUTOMATIC SOLAR PANEL RECOGNITION AND DEFECT DETECTION USING INFRARED IMAGING
20170277966 · 2017-09-28
Inventors
- Glen P. Abousleman (Scottsdale, AZ)
- Xiang Gao (Tempe, AZ, US)
- Eric Munson (Phoenix, AZ, US)
- Jennie Si (Phoenix, AZ)
Cpc classification
G06V10/457
PHYSICS
G06V10/25
PHYSICS
International classification
Abstract
Methods and systems are provided for detecting a defect in a solar panel. The method includes initially imaging, via an infrared camera, a group of solar panels. Then, identifying, via a computer system configured for solar panel defect detection, the individual solar panels in the group of solar panels. Finally, identifying, via evaluation of an infrared image obtained by the infrared camera, a defect in at least one of the group of solar panels.
Claims
1. A method for detecting a defect in a solar panel, the method comprising: imaging, via an infrared camera, a group of solar panels; identifying, via a computer system configured for solar panel defect detection, the individual solar panels in the group of solar panels; and identifying, via evaluation of an infrared image obtained by the infrared camera, a defect in at least one of the group of solar panels.
2. The method of claim 1, wherein the identifying the defect comprises identifying a temperature of a solar panel that is higher than the average temperature of the group of solar panels.
3. The method of claim 1, wherein the identifying of the individual solar panel comprises identifying edges of the individual solar panels in the group of solar panels using algorithmic solutions for edge detection to recognize edges within the imaging of the group of solar panels.
4. The method of claim 3, wherein the edge detection of the individual solar panel comprises identifying horizontal and vertical lines formed by the edges using algorithmic solutions for the individual solar panels.
5. The method of claim 4, wherein the edge detection of the individual solar panel, further comprises generating an edge map from the edges for detecting missing horizontal and vertical line segments which are combined with horizontal and vertical lines identified and filtered into vertical and horizontal line groups for horizontal and vertical border recognition.
6. The method of claim 5, comprising: segmenting the group of solar panels into individual solar panels by using algorithmic solutions for analyzing data received from the horizontal and vertical border recognition and associating the individual solar panels with identification information for tracking.
7. The method of claim 6, comprising: defining a region in the individual solar panel wherein pixel values are higher than surrounding pixel values in the individual solar panel, and determining defects of the region based on comparisons of a threshold value which is adaptive to determine local anomalies.
8. The method of claim 2, comprises determining global anomalies based on comparing temperatures of the identifying temperature values of the solar panel and average temperature values of the group of solar panels.
9. A computer program product tangibly embodied in a computer-readable storage device and comprising instructions that when executed by a processor performs a method for automatically detecting a module from a plurality of modules, and for detecting defects within the module and additionally for detecting entire module failures using an infra-red camera, the method comprising: capturing sequences of images of the plurality of modules by the infrared camera wherein the infrared camera is positioned with a field of view for enabling lines to be captured within the images and for line detection to be performed by algorithmic solutions for classifying the lines as either horizontal or vertical lines; filtering the lines which have been classified as horizontal or vertical by distance to combine pairs of either horizontal and/or vertical lines determined to be closely spaced apart together; estimating horizontal and vertical lines that have not been detected in a current frame by using prior detections of horizontal and vertical lines of a previous frame of images which have been captured; and defining modules in the plurality of modules by determining intersections of the horizontal and vertical lines which have been detected at least in the current frame or combined with horizontal and vertical lines estimated in the prior frame.
10. The method of claim 9, the estimating of horizontal and vertical lines further comprising: detecting corners in a current frame of a module for aligning the corners of the module to provide additional estimations of horizontal and vertical lines which have not detected in the current frame when defining the module.
11. The method of claim 10, the defining of modules further comprising: detecting contours in a current frame of a module to recognize rectangular shapes with a frame to record as a module.
12. The method of claim 9, comprising: accounting for an optical flow of the infrared camera while capturing images of the plurality of modules to sequentially track the modules and to add associated identifiers for tracking and generating counts of the modules which have been defined.
13. The method of claim 11, comprising: combining a set of results obtained from detecting corners and contours to estimate locations of a middle row of modules in the sequences of images of the plurality of modules.
14. The method of claim 13, comprising: estimating locations of a top row and a bottom row of modules in the sequence of images of the plurality of modules from the estimate locations of the middle row of modules.
15. The method of claim 9, comprising: detecting local defects within a module by comparing pixel values of pixel samples of images of modules which have been defined to an adaptive threshold value for determining local anomalies.
16. The method of claim 9, the detecting of entire module failure comprising: detecting hot regions by comparing, using clustering algorithms, a value of thermal characteristics of a module which has been defined to a mean value of the thermal characteristics of a plurality of modules which have been defined for determining global anomalies relating to entire module failure.
17. A system comprising: at least one processor; and at least one computer-readable storage device comprising instructions that when executed causes performance of a method for module recognition and for detecting defects using an infra-red camera, the method comprising: capturing sequences of images of a plurality of modules by the infrared camera wherein the infrared camera is configured for enabling lines to be captured within the images and for line detection to be performed by algorithmic solutions for classifying the lines as either horizontal or vertical lines; filtering the lines which have been classified as horizontal or vertical by distance to combine pairs of either horizontal and/or vertical lines determined to be closely spaced apart together; estimating horizontal and vertical lines that have not been detected in a current frame by using prior detections of horizontal and vertical lines of a previous frame of images which have been captured; and defining modules in the plurality of modules by determining intersections of the horizontal and vertical lines which have been detected at least in the current frame or combined with horizontal and vertical lines estimated in the prior frame.
18. The system of claim 17, comprising: accounting for an optical flow of the infrared camera while capturing images of the plurality of modules to sequentially track the modules and to add associated identifiers for tracking and generating counts of the modules which have been defined.
19. The system of claim 17, comprising: detecting local defects within a module by comparing pixel values of pixel samples of images of modules which have been defined to an adaptive threshold value for determining local anomalies.
20. The system of claim 17, comprising: detecting of entire module failure which comprises: detecting hot regions by comparing, using clustering algorithms, a value of thermal characteristics of a module which has been defined to a mean value of the thermal characteristics of a plurality of modules which have been defined for determining global anomalies relating to the entire module failure.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0014] The present invention will hereinafter be described in conjunction with the following drawing figures, wherein like numerals denote like elements, and
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DETAILED DESCRIPTION
[0030] The following detailed description is merely exemplary in nature and is not intended to limit the invention or the application and uses of the invention. Furthermore, there is no intention to be bound by any theory presented in the preceding background or the following detailed description. The following description is of various exemplary embodiments only, and is not intended to limit the scope, applicability or configuration of the present disclosure in any way. Rather, the following description is intended to provide a convenient illustration for implementing various embodiments including the best mode. As will become apparent, various changes may be made in the function and arrangement of the elements described in these embodiments without departing from principles of the present disclosure.
[0031] For the sake of brevity, conventional techniques for solar panel defect detection, manufacturing, repair, replacement, and/or the like may not be described in detail herein. Furthermore, the connecting lines shown in various figures contained herein are intended to represent exemplary functional relationships and/or physical or communicative couplings between various elements. It should be noted that many alternative or additional functional relationships may be present in a practical solar panel assessment system.
[0032] Additionally, the term “solar panels” is used in conjunction with the terms “solar modules”, “panels” and “modules” in the disclosure and are considered to encompass the same subject matter. In other words, references to “solar panels”, “panels”, “solar modules” or “modules” have the same technical meaning and are commonly used interchangeably in the art. Hence, the terms “solar panel”, “solar module”, “module” and “panel” may be used interchangeably when used in the context of referring to a solar panel.
[0033] The terms “local defect”, “local anomaly”, local defects”, “local anomalies” are too similar in technical meaning but for a singular or plural form and can be considered interchangeable if used in the same context. Likewise, the terms “global defect”, “global anomaly”, “global anomalies” and “global defects” are also considered similar in technical meaning but for a singular and plural form and can considered interchangeable if used in the same context.
[0034] Disclosed herein is a solar panel assessment system of a panel recognition system and defect detection system, which automates the inspection process and mitigates the need for manual panel inspection in a large solar farm. With a reference to
[0035] With a continued reference to
[0036] The defect detection module 30 is configured to detect differences in temperature by using applications related to infrared thermography for analyzing these temperature differences from outputs of data from the IR camera. In an exemplary embodiment, while keeping the solar array farm online and generating solar energy power, the defect detection module 30 is configured to, using infrared thermography applications for analyzing data extracted from captured imagery by the IR camera module 10 and detect the heat differential between solar panels in the PV array. Using such internal IR thermography related applications, the defect detection module 30 can determine whether any of these panels are damaged or defective because the characteristics of a malfunctioning panel are readily discernable; the malfunction panel usually emits more heat as compared to a normally functioning panel because it converts less luminous energy into electrical energy.
[0037] After the data from an entire array is collected, hot panels are detected by the analysis engine module 40 using, in this instance a density-based spatial clustering of applications with noise DBSCAN. Though it should be understood that there are a variety of “clustering” techniques available that may be used and DBSCAN is simple one such clustering technique available and elected herein. For example, a clustering technique known as ordering points to identify the clustering structure OPTICS is an alternate to DBSCAN; each clustering technique has strengths and weaknesses that must be weighed in implementation but both address similar problems and therefore have a degree of interexchange ability. An advantage to using clustering techniques by the analysis engine module 40 is that no training data is required. The analysis engine module 40 “learns” which panels are defective automatically by use of clustering and other related algorithms and further, retains such “learning” data in memory for use in later analysis hence increasing the overall panel recognition and defect detection capabilities of the panel assessment system.
[0038] With a reference to
[0039] While a vehicle 210 is shown to mount the IR camera 220, any device capable of mounting an IR camera 220 and navigating pass the PV arrays 240 and positioning the IR camera 220 so that the IR camera 220 has an up right field of view of the PV array 240 will suffice. For example, autonomous vehicles, robotic type devices, as well as aerial devices may be used to capture IR images of the PV arrays 240 so long as the alternatives are capable of properly positioning the IR camera 220 in an upright manner so the field of view can encompass all the rows aligned together across the PV array 240 at once. Additionally, a host of different mobile devices 230 including laptops, tablets, smartphones, Google Glass™, and any other computing device implemented in an automobile, aircraft, or other business or consumer electronic device or system may be configured for use so longer as the device has sufficient processing and display capabilities.
[0040] In an exemplary embodiment, a set of “use” configurations for the IR camera 220 and mobile device 230 are as follows: IR video sequences are collected in the field at a PV solar farm were test sequences were composed of 16-bit IR imagery taken from IR camera 220 of a FLIR® A325sc camera mounted on a vehicle 210 which is a motorized cart, and all the PV arrays are four rows in height. The original image resolution is 640×480 pixels of the display 260 and the frame rate was 30 frames per second (fps). The frames are down sampled to 320×240 pixels for real-time image processing. The image format in the panel recognition module is a single-channel, 8-bit grayscale imagery as it is better supported by the computer vision tools of an OPENCV™ software package, whereas in the defect detection module, the original 16-bit-depth imagery is used. The dataset collected includes adverse scenarios relating to IR image capture of motion blur, video freezing, sun reflection, shadowing on the panels, and fast-moving frames. The assessment system is implemented in C++ with OPENCV™. The average processing times of processors, of the mobile device 230, per frame is in the vicinity of a speed below 32 ms (on a PC with an INTEL® i5-2400 CPU running at 3.1 GHz and 8 GB of RAM), which enables a real-time module recognition at 30 fps. The average processing time for clustering 480 PV modules (at the end of each array) is 140 ms.
[0041] With a reference to
[0042] In
[0043] With a reference to
[0044] It is worth contrasting different target recognition methods that often treat individual objects independently. For example, in pedestrian detection, if one pedestrian is identified, it will not increase the probability that other nearby objects will be recognized as a pedestrian. In addition, unlike other target recognition problems, there does not exist any quantified models for the targets in the detection of solar panels. This is because unlike pedestrian recognition, solar panel recognition has raised difficulty due to the lack of features associated with individual panels. Therefore, recognizing individual PV modules is difficult and error-prone and often making a singular mistake in the panel numbering can make the defect detection problem intractable; the panel assessment system of the present disclosure compensates for intractable problems by using a single pass methodology. That is, in a single pass the detecting process of the entire array of panels is performed rather than performing incremental detections of each individual panels one after another. Hence, by detecting all the panels in a PV array at once, the likelihood that an incremental mistake is made in reduced as the entire data set is captured from the entire set of IR images in a singular one step pass.
[0045] With a reference to
[0046] The assessment system 500 incorporates two major systems: a panel recognition system and a subsequent defect detection system. In the panel recognition system, a current frame of a captured IR image is received at 505, then an edge detection module 520 extracts edges from the IR frame received. Next, line detection module 535 applies algorithmic solutions comprising Hough Transform (HT) algorithms to detect lines after receiving output from the edge detection module 520 of data of edges extracted from the incoming frame at 505. All line segments detected by using the HT algorithms of the line detection module 535 are further extended to connect to lines across the entire image frame. The detected lines are filtered by a horizontal line filtering module 550 and a vertical line filtering module 555 and are divided into two groups of horizontal lines and vertical lines. The HT algorithm combines closely spaced lines into one line
[0047] That is, if the distance between two lines is smaller than a threshold, then these lines are considered the same line and an “average line” will be calculated from both line positions. After merging these closely spaced lines, all the vertical and horizontal lines are sorted per associated line positions within the frame (e.g., from left to right, from top to bottom). These sorted line positions with associated position are then determined as the line “candidates” of the actual lines.
[0048] The actual positions of the horizontal and vertical lines are then estimated, with false positions being removed and the position of missing lines being estimated based upon the lines from the previous frame. That is, a best match is determined by the horizontal line filtering module 550 and the vertical line filtering module 555 and “learned information” is used from previous frames from line detection module 540 in the estimations.
[0049] In addition to the line detection process in each frame, all lines are numbered and tracked across multiple frames by the optical flow module 530 and line detection module 540. The horizontal border recognition module 560 and vertical border recognition module 565 determines a location of an individual panel from an intersection of the vertical line and horizontal line since each intersection corresponds to the corner of a panel.
[0050] Additional corner information is received by corner detection module 515 as well as contour information from contour detection module 510. By connecting four nearby corners using algorithms of the horizontal border recognition module 560 and vertical border recognition module 565, the boundaries of a panel are defined.
[0051] The corner detection module 515 and contour detection module 510 are two additional features that are used in the algorithm solution as explained earlier horizontal lines are difficult to recognize with a high degree of accuracy. That is, blurry frames often captured can prove to be problematic to the line detection modules 535, 540, especially when there are no clear edges that separate the top row or the bottom row from the background of the captured IR image. The corners are usually aligned on panel edges, so missing lines can be estimated if multiple corners are aligned along a line. The contour detection is based upon a line segment mapping performed. Additionally, contours detected by contour detection module 510 that have rectangle-like shapes will be recorded.
[0052] With continued reference to
[0053] The local anomalies or small defects, such as hot spots and cracks, are detected locally by examining consecutively one panel at a time by a local defect detector module 575. Like anomaly detection which examines defects on a texture surface, local anomalies are examined with local feature extraction and classification being employed. However, in global anomalies of complete panel failure, identification of complete panel failure can only be discerned by identifying “hot panels”. Such “hot panels” are determined by comparisons of the neighboring panels IR thermal characteristics in relation to a selected panel. In other words, by comparing a panel to its neighboring panels and finding differences in IR thermal characteristics, then only can “hot panels” be identified and the subsequent global anomaly identified.
[0054] Therefore, to efficiently make such comparisons between panels, the panel assessment system uses DBSCAN clustering algorithms in hot module cluster module 580 of the IR thermal data received to find a mean temperature readings of all panels within the same row. If more than one cluster is created, the panels belonging to the cluster(s) with the higher temperature are classified as hot modules. The detection results are outputted at 585 and often combined for presenting combined local and global anomalies associated with panels and PV arrays.
[0055] With a reference to
[0056] With a continued reference to
[0057] As explained, the defect detection system uses adaptive thresholding to find local anomalies in the 25×10 sample grid after the panels are recognized in each frame. Algorithm 1 lists the complete procedure. The threshold is calculated by adding the median and multiples of the standard deviation of all sample means. Any sample that has a mean larger than the threshold is considered abnormal. If a panel contains more than two such abnormal samples, then it is marked as having “local anomalies detected.” This baseline algorithm is a straightforward algorithm for comparisons therefore the adaptive threshold can provide some flexibility in practice. However, the algorithm does not take advantage of other features like shapes but additional algorithms can be added if shapes need to be addressed. Below, the Algorithm 1 listed shows the calculation of the adaptive threshold based on a median in the array and s standard deviations and uses an incremental counter to make comparisons of all samples in the array.
TABLE-US-00001 Algorithm 1: Local anomaly detection by adaptive thresholding 1 function LocalDetect (modules); Input : An array of modules detected in current frame modules Output: Boolean TRUE for anomaly detected, FALSE for undetected 2 foreach modules do 3 | compute sample means as array m; 4 | med = MedianInArray(m); 5 | std = StandardDeviationInArray(m); 6 | compute threshold th = med + 3std; 7 | count = 0; 8 | foreach m do 9 | | if m > th then 10 | | | count = count + 1; 11 | | end 12 | end 13 | if count >= 2 then 14 | | return TRUE; 15 | else 16 | | return FALSE; 17 | end 18 end
[0058] Unlike local anomaly detection that applies detection applications for every incoming frame, global anomaly detection is only performed after the entire row of panels has been imaged and received. In operation, if a panel is hotter than other panels in the same row, it is malfunctioning because when operating, the panel is operating at a deficiency and failing to convert the same amount of solar energy into electric energy as the other panels.
[0059] In an exemplary embodiment, the PV array is four panels high, i.e., there are four parallel rows of panels. The lower rows of the PV array tend to have higher temperatures than upper rows because lower rows have better emissivity with respect to the IR camera position. Hence, when detecting global anomalies, the detection is performed separately on a row-by-row basis as each row has distinct different levels of emissivity. In sequences of PV array panel IR captured, the panel images are imaged in several consecutive frames but only the frame in which the panel image is centered the greatest from among the series of images captured is used for analysis. All the pixel values received within a panel in IR 16 format are processed and used in calculating measurements for the clustering analysis. After feature extraction, the problem becomes one of how to select the outliers in a group of data.
[0060] The global anomaly detection can be formulated as a classification solution (supervised learning) or a clustering solution (unsupervised learning). Classification algorithms are reliable when large numbers of features are available for use in the classification. This is because with a large feature set, a well-defined training dataset that covers many different situations is possible, and as such enables classification algorithms to be more precise when applied to large data sets. Clustering algorithms on the other hand have the advantage of requiring no prior training data and the decision boundaries are formed automatically by analysis of the data. Since emissivity of the modules varies as a function of time of day, time of year, IR camera position, and module location within the array, it is not feasible to assemble a consistent collection of training data, which makes clustering an attractive option. The present panel assessment system uses density-based spatial clustering of applications with noise (DBSCAN), which does not require any training or prior information and therefore meets the necessary requirements.
[0061] In an exemplary embodiment and referring to Algorithm 2 listed below, a set of points in a selected space are considered for clustering by using DBSCAN clustering. The points are classified as the following: core points, border points, and noise points and defined as follows: Core points: A point p is a core point if at least minPts points are within distance ε of point p. Border points: A border point is not a core point, but falls within the neighborhood of a core point. Noise points: A noise point is any point that is neither a core point nor a border point.
[0062] Therefore, if p is a core point, then p forms a cluster together with all points (core or border) that are reachable from the point p. Each cluster contains at least one core point; border points may be part of a cluster, but are formed at the “border” since such points are not used to reach more points. The DBSCAN clustering algorithm only requires two parameters: distance ε and minimum points minPts. In an exemplary embodiment, in an implementation ε is set to 120 and minPts is 5. The decision boundary is calculated directly from the clusters as follows: Since the implementation only uses mean values in DBSCAN clustering algorithm, the clustering space is one dimensional and the decision boundary is simply a number. Any panel that has a mean value greater than the decision boundary is considered a hot module.
TABLE-US-00002 Algorithm 2: Global Anomaly Detection using DBSCAN 1 function GlobalAnomaly Detection (modules); Input : A module row modules, distance eps, minimum points min Pts Output: Labeled module row 2 clusters = DBSCAN(modules,cps,minPts); 3 foreach clusters do 4 | mean = MedianInArray(clusters); 5 | std = StandardDeviationInArray(m); 6 end 7 if NumOf(clusters) > 1 then 8 | th = (mean(FirstCluster(clusters)) + | mean(LastCluster(clusters)))/2; 9 else 10 | th = mean(modules) + 3 std; 11 end 12 foreach module in modules do 13 | if mean(module) > th then 14 | | Mark module as Hot Module; 15 | else 16 | | Mark module as Unremarkable; 17 | end 18 end
[0063] With a reference to
[0064] With a reference to
[0065] With a reference to
[0066] With continued reference to
[0067] The corners and contours are two additional features that are used in panel assessment algorithmic solution to validate or enhance horizontal line detection as horizontal lines are difficult to detect accurately. This is because blurry frames often captured are at times problematic to the line detector, especially when there are no clear edges that separate the top row or the bottom row from the background. Because the corners are usually aligned on panel edges, therefore using this principal the missing lines can be estimated if multiple corners are aligned along a line. The contour detection is based upon a line segment map generated. The contours that have rectangle-like shapes may be recorded. Since, the top horizontal line and the bottom horizontal line are often the lines more likely to be missed by the line detection process, the rectangle-like contours are added indicators of the location of the middle rows. For example, if the PV array is four rows in height, the second and third rows are considered middle rows. Combining all information from the corner detection and the contour detection results in a location estimation for the middle rows. Once the middle rows are found (either detected or estimated), the relative positions of the top and the bottom rows can be estimated from the middle row location.
[0068] After the candidate lines are filtered, the horizontal border detection and the vertical border detection will determine whether these candidates are “true targets” or false alarms, and estimate missing borders from the “true targets”. The “borders” represent the sides of the quadrilateral that frames a panel are relied upon rather than the “lines” given the unreliable results from the line detection algorithm. Border motion information in the previous frame is used in the border detections, in conjunction with contour features and corner features for more accurate determinations of the panel borders. Since, motion information describes how much or differences in distance each object moves from one frame to another frame; using the corner detection algorithmic solution, in this instance, a Shi Tomasi corner detection algorithm, the corners are first extracted from the previous frame and then tracked in the current frame using in conjunction Lucas Kanade algorithms for detecting the related optical flow. A global prospective (homography) transform matrix is then estimated from the motion vectors of all matched corner pairs based on random sample consensus RANSAC iterative estimations. The transform matrix P is examined by calculating the overlapping rate between the current frame and the warped version of the previous frame. By considering both frame rate and the velocity of the IR camera, the interframe motion resulting is generally deemed small. If the overlap area is larger than 80% of the image size, the estimated matrix P is considered a good estimation. Otherwise, if the overlap area is less than 80% then because the estimation is not deemed good, the algorithm calculates the transform matrix P from previous results. For calculation for frame i the estimate matrix P is as follows:
[0069] This calculation is simply a moving average of P in the past five frames (if applicable). This results in a robust estimation of P because the low image quality of a frame can significantly reduce the performance of the optical flow. By transforming every point in the previous frame to the current frame using the perspective transform matrix P as follows:
[0070] Where in the transform matrix (x, y) is the coordinate of a point in the previous frame and (x′, y′) is the coordinate of its corresponding point in current frame. In the vertical border detection, every vertical border in the previous frame is projected to the current frame and then matched with new detected vertical lines in the current frame in accordance with the distance between them. Generally, a good match is deemed when there is a small distance between the warped border and the detected line. If a vertical border cannot find a good match, the detection algorithm will simply estimate its position in the current frame. Horizontal motion direction is also considered when adding newly detected vertical lines to the true border pool. The optical flow's horizontal X coordinates determine whether the IR camera is moving to the left, moving to the right, or is stationary.
[0071] If the IR camera is moving to the left, newly detected vertical lines will be added if they are to the left of all the warped vertical borders. This simple rule makes the vertical border detection more robust. A similar procedure is implemented in the horizontal border detection algorithm, except that the number of actual horizontal borders is fixed so that no additional border can be added once the horizontal borders are initialized. In addition, the horizontal border detection focuses more on estimating missing borders (usually the top and bottom borders).
[0072] The last step is to calculate the intersection of horizontal and vertical borders. Each intersection has a unique index, (h, v), where h is the index of the horizontal border across the intersection, and v is for the index of the vertical border. A panel's location is completely defined by any four adjacent intersections, e.g., intersection (2, 10), (2, 11), (3, 10), and (3, 11) are the four corners of a panel as shown in
[0073] With a reference to
[0074] With a reference to
[0075] With references to
[0076] In accordance with an exemplary embodiment,
[0077] With a reference to
[0078] With a reference to
[0079] The first row in Table 1 of
[0080]
[0081] While at least one exemplary embodiment has been presented in the foregoing detailed description of the invention, it should be appreciated that a vast number of variations exist. It should also be appreciated that the exemplary embodiment or exemplary embodiments are only examples, and are not intended to limit the scope, applicability, or configuration of the invention in any way. Rather, the foregoing detailed description will provide those skilled in the art with a convenient road map for implementing an exemplary embodiment of the invention.
[0082] It being understood that various changes may be made in the function and arrangement of elements described in an exemplary embodiment without departing from the scope of the invention as set forth in the appended claims. As used herein, the terms “comprises,” “comprising,” or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or apparatus. Also, as used herein, the terms “coupled,” “coupling,” or any other variation thereof, are intended to cover a physical connection, an electrical connection, a magnetic connection, an optical connection, a communicative connection, a functional connection, and/or any other connection.
[0083] When language similar to “at least one of A, B, or C” or “at least one of A, B, and C” is used in the claims, the phrase is intended to mean any of the following: (1) at least one of A; (2) at least one of B; (3) at least one of C; (4) at least one of A and at least one of B; (5) at least one of B and at least one of C; (6) at least one of A and at least one of C; or (7) at least one of A, at least one of B, and at least one of C.