A wind farm wake effect calculation method, device, terminal equipment and computer program product for power system analysis

By using an analytical method that considers multiple factors to calculate the wake effect of wind farms, the problem of insufficient calculation accuracy in existing technologies is solved, and the accuracy of wind speed calculation in wind farms and support for power system analysis are achieved.

CN122332669APending Publication Date: 2026-07-03THE HONG KONG POLYTECHNIC UNIV
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Patent Information

Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2025-01-02
Publication Date
2026-07-03

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Abstract

The application is suitable for the technical field of power system analysis, and provides a wind farm wake effect calculation method, device, terminal equipment and computer program product for power system analysis, wherein the method comprises: obtaining geographical position information of a wind farm, parameter information of each wind turbine in the wind farm, and wind speed information and wind direction information of natural wind; determining a first wind speed loss caused by the wake effect of a single upstream wind turbine based on the geographical position information, the parameter information and the wind speed information; determining a second wind speed loss in a wind direction coordinate system based on the first wind speed loss and the wind direction information; and determining downstream wind speed of each wind turbine under the wake effect of all upstream wind turbines considering the influence of all target factors based on the second wind speed loss; the target factors include height factor, terrain factor, wind direction factor, multi-wind turbine superposition factor and wind flow time lag factor. The application embodiment can effectively improve the accuracy of wind farm wake effect calculation.
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Description

Technical Field

[0001] This application belongs to the field of power system analysis technology, and in particular relates to a method, device, terminal equipment and computer program product for calculating the wake effect of wind farms for power system analysis. Background Technology

[0002] The wake effect refers to the phenomenon where a wind turbine, while absorbing energy from the natural wind, creates a wake downstream where the wind speed decreases. If a downstream wind turbine is located within the wake, its input wind speed will be lower than that of the upstream wind turbine. Therefore, the wake effect causes uneven wind speed distribution within the wind farm, affecting the operation of each wind turbine and consequently the operation of the power system.

[0003] Currently, the calculation of wake effect in wind farms fails to fully consider the influence of various factors on the wake effect, resulting in low accuracy of the wake effect calculation results. Consequently, the calculation results of the downstream wind speed of each wind turbine in the wind farm are also low, which is not conducive to power system analysis. Summary of the Invention

[0004] In view of this, embodiments of this application provide a method, apparatus, terminal equipment, and computer program product for calculating the wake effect of wind farms for power system analysis, in order to solve the problem that the accuracy of the calculation results of the downstream wind speed of each wind turbine in the wind farm is low due to the low accuracy of the calculation results of the wake effect in the prior art.

[0005] A first aspect of this application provides a method for calculating the wake effect of wind farms for power system analysis, the method comprising:

[0006] Obtain the geographical location information of the wind farm, the parameter information of each wind turbine in the wind farm, and the wind speed and direction information of the natural wind;

[0007] Based on the geographical location information, the parameter information, and the wind speed information, the first wind speed loss caused by the wake effect of a single upstream wind turbine is determined.

[0008] Based on the first wind speed loss and the wind direction information, the second wind speed loss in the wind direction coordinate system is determined;

[0009] Based on the second wind speed loss, the downstream wind speed of each wind turbine is determined under the wake effect of all upstream wind turbines after considering the influence of all target factors; the target factors include height factors, terrain factors, wind direction factors, the superposition effect of multiple wind turbines, and wind flow time lag factors.

[0010] In one embodiment, determining the first wind speed loss caused by the wake effect of a single upstream wind turbine based on the geographical location information, the parameter information, and the wind speed information includes:

[0011] Based on the aforementioned geographical location information, the geographical location of each wind turbine within the wind farm is determined;

[0012] Based on the geographical location of each wind turbine in the wind farm, determine the standardized position of each wind turbine with respect to the diameter of the wind turbine impeller;

[0013] Based on the standardized positions of each wind turbine in the wind farm and the wind speed information, the first wind speed loss caused by the wake effect of a single upstream wind turbine is determined.

[0014] In one embodiment, after determining the first wind speed loss caused by the wake effect of a single upstream wind turbine based on the geographical location information, the parameter information, and the wind speed information, the process includes:

[0015] Based on the first wind speed loss, the first downstream wind speed of each wind turbine under the wake effect of a single upstream wind turbine is determined without considering the influence of any target factors.

[0016] Based on the first downstream wind speed, the second downstream wind speed of each wind turbine is determined under the wake effect of a single upstream wind turbine after considering the influence of height factors.

[0017] Based on the second downstream wind speed, the third downstream wind speed of each wind turbine is determined under the wake effect of a single upstream wind turbine after considering the influence of height and terrain factors.

[0018] In one embodiment, determining the second wind speed loss in the wind direction coordinate system based on the first wind speed loss and the wind direction information includes:

[0019] Establish a wind direction coordinate system based on the wind direction information;

[0020] The geographical locations of each wind turbine in the first wind speed loss are converted into their positions in the wind direction coordinate system to obtain the second wind speed loss.

[0021] In one embodiment, determining the downstream wind speed of each wind turbine under the wake effect of all upstream wind turbines after considering the influence of all target factors, based on the second wind speed loss, includes:

[0022] Based on the second wind speed loss and the third downstream wind speed, the fourth downstream wind speed of each wind turbine is determined under the wake effect of a single upstream wind turbine after considering the influence of height, terrain and wind direction factors.

[0023] Based on the second wind speed loss, the total wind speed loss caused by the wake effect of all upstream wind turbines after considering the influence of height, terrain and wind direction factors is determined.

[0024] Based on the overall wind speed loss, the downstream wind speed of each wind turbine is determined under the wake effect of all upstream wind turbines after considering the influence of all target factors.

[0025] In one embodiment, determining the downstream wind speed of each wind turbine under the wake effect of all upstream wind turbines after considering the overall wind speed loss includes:

[0026] Based on the overall wind speed loss of each wind turbine under the wake effect, the fifth downstream wind speed of each wind turbine under the wake effect of all upstream wind turbines is determined after considering the influence of height, terrain, wind direction and the superposition of multiple wind turbines.

[0027] Determine the airflow time delay parameters;

[0028] Based on the aforementioned airflow time delay parameter, the fourth downstream wind speed, and the overall wind speed loss, the downstream wind speed of each wind turbine is determined under the wake effect of all upstream wind turbines after considering the influence of all target factors.

[0029] In one embodiment, determining the downstream wind speed of each wind turbine based on the second wind speed loss, after considering the wake effect of all upstream wind turbines after taking into account the influence of all target factors, includes:

[0030] The operating status of the power system is analyzed based on the downstream wind speed of each wind turbine.

[0031] A second aspect of this application provides a wind farm wake effect calculation device for power system analysis, the device comprising:

[0032] The information acquisition module is used to acquire the geographical location information of the wind farm, the parameter information of each wind turbine in the wind farm, and the wind speed and direction information of the natural wind.

[0033] The first determining module is used to determine the first wind speed loss caused by the wake effect of a single upstream wind turbine based on the geographical location information, the parameter information, and the wind speed information.

[0034] The second determining module is used to determine the second wind speed loss in the wind direction coordinate system based on the first wind speed loss and the wind direction information.

[0035] The third determining module is used to determine the downstream wind speed of each wind turbine under the wake effect of all upstream wind turbines after considering the influence of all target factors, based on the second wind speed loss; the target factors include height factors, terrain factors, wind direction factors, multi-wind turbine superposition factors, and wind flow time lag factors.

[0036] A third aspect of this application provides a terminal device including a memory, a processor, and a computer program stored in the memory and executable on the processor. When the processor executes the computer program, it implements the steps of the wind farm wake effect calculation method for power system analysis as described in the first aspect of this application.

[0037] A fourth aspect of this application provides a computer program product comprising a computer program that, when executed by a processor, implements the steps of the wind farm wake effect calculation method for power system analysis as described in the first aspect of this application.

[0038] The first aspect of this application provides a method for calculating the wake effect of a wind farm for power system analysis. This method acquires the geographical location information of the wind farm, the parameter information of each wind turbine within the wind farm, and the wind speed and direction information of the natural wind. Based on the geographical location information, parameter information, and wind speed information, it determines a first wind speed loss caused by the wake effect of a single upstream wind turbine. Based on the first wind speed loss and wind direction information, it determines a second wind speed loss in a wind direction coordinate system. Based on the second wind speed loss, it determines the downstream wind speed of each wind turbine under the wake effect of all upstream wind turbines after considering the influence of all target factors. These target factors include height, terrain, wind direction, the superposition effect of multiple wind turbines, and wind flow time lag. By fully considering the influence of multiple factors on the wake effect, the accuracy of the wind farm wake effect calculation can be effectively improved, thereby improving the accuracy of the calculation results of the downstream wind speed of each wind turbine in the wind farm, which is beneficial for power system analysis.

[0039] It is understood that the beneficial effects of the second to fourth aspects mentioned above can be found in the relevant descriptions in the first aspect mentioned above, and will not be repeated here. Attached Figure Description

[0040] To more clearly illustrate the technical solutions in the embodiments of this application, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are only some embodiments of this application. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0041] Figure 1 This is a schematic diagram of the first method for calculating the wake effect of a wind farm for power system analysis provided in this application embodiment;

[0042] Figure 2 This is a schematic diagram of the wake effect of a single fan provided in an embodiment of this application;

[0043] Figure 3This is a schematic diagram of the second flowchart of the wind farm wake effect calculation method for power system analysis provided in the embodiments of this application;

[0044] Figure 4 This is a schematic diagram of a coordinate transformation provided in an embodiment of this application;

[0045] Figure 5 This is a schematic diagram of the third process for calculating the wake effect of a wind farm for power system analysis provided in the embodiments of this application;

[0046] Figure 6 This is a schematic diagram of the wind farm wake effect calculation device for power system analysis provided in the embodiments of this application;

[0047] Figure 7 This is a schematic diagram of the structure of the terminal device provided in the embodiments of this application. Detailed Implementation

[0048] In the following description, specific details such as particular system architectures and techniques are set forth for illustrative purposes and not for limitation, in order to provide a thorough understanding of the embodiments of this application. However, those skilled in the art will understand that this application may also be implemented in other embodiments without these specific details. In other instances, detailed descriptions of well-known systems, apparatuses, circuits, and methods have been omitted so as not to obscure the description of this application with unnecessary detail.

[0049] It should also be understood that the term “and / or” as used in this application specification and the appended claims means any combination of one or more of the associated listed items and all possible combinations, and includes such combinations.

[0050] Furthermore, in the description of this application and the appended claims, the terms "first," "second," "third," etc., are used only to distinguish descriptions and should not be construed as indicating or implying relative importance.

[0051] References to "one embodiment" or "some embodiments" as described in this specification mean that one or more embodiments of this application include a specific feature, structure, or characteristic described in connection with that embodiment. Therefore, the phrases "in one embodiment," "in some embodiments," "in other embodiments," "in still other embodiments," etc., appearing in different parts of this specification do not necessarily refer to the same embodiment, but rather mean "one or more, but not all, embodiments," unless otherwise specifically emphasized. The terms "comprising," "including," "having," and variations thereof mean "including but not limited to," unless otherwise specifically emphasized. "A plurality of" means "two" or "more than two."

[0052] The wake effect refers to the phenomenon where a wind turbine, while absorbing energy from the natural wind, creates a wake downstream where the wind speed decreases. If a downstream wind turbine is located within the wake, its input wind speed will be lower than that of the upstream wind turbine. Therefore, the wake effect causes uneven wind speed distribution within the wind farm, affecting the operation of each wind turbine and consequently the operation of the power system.

[0053] Currently, the calculation methods for the wake effect of wind farms are mainly divided into two categories. The first category is the numerical method, which is based on computational fluid dynamics. Due to its huge computation time, it is not suitable for power system stability analysis. The second category is the analytical method, which is widely used due to its low computation time. However, the existing analytical methods have some shortcomings. For example, the wake effect is affected by multiple factors, and the existing analytical methods fail to fully consider the influence of multiple factors on the wake effect.

[0054] Correspondingly, when calculating the wake effect of a wind farm, the accuracy of the calculation results is low because the influence of various factors on the wake effect is not fully considered. This leads to low accuracy of the calculation results of the downstream wind speed of each wind turbine in the wind farm, which is not conducive to power system analysis.

[0055] This application provides a method for calculating the wake effect of wind farms for power system analysis. It acquires the geographical location information of the wind farm, the parameter information of each wind turbine within the wind farm, and the wind speed and direction information of the natural wind. Based on the geographical location information, parameter information, and wind speed information, it determines the first wind speed loss caused by the wake effect of a single upstream wind turbine. Based on the first wind speed loss and wind direction information, it determines the second wind speed loss in the wind direction coordinate system. Based on the second wind speed loss, it determines the downstream wind speed of each wind turbine under the wake effect of all upstream wind turbines after considering the influence of all target factors. Target factors include height, terrain, wind direction, the superposition effect of multiple wind turbines, and wind flow time lag. By fully considering the influence of multiple factors on the wake effect, the accuracy of wind farm wake effect calculation can be effectively improved, thereby improving the accuracy of the calculation results of the downstream wind speed of each wind turbine in the wind farm, which is beneficial to power system analysis.

[0056] It should be noted that the method provided in this application is an analytical method, which can perform rapid calculations based on real-time collected natural wind, which is beneficial to improving the efficiency of wind farm wake effect calculation as well as the calculation efficiency and accuracy of downstream wind speed at each wind turbine.

[0057] Example 1

[0058] like Figure 1 As shown in the embodiments of this application, the method for calculating the wake effect of a wind farm for power system analysis includes the following steps S1 to S4:

[0059] Step S1: Obtain the geographical location information of the wind farm, the parameter information of each wind turbine in the wind farm, and the wind speed and direction information of the natural wind, and proceed to step S2.

[0060] In practice, the geographical location information of wind farms can be obtained through Geographic Information System (GIS), wind farm project planning documents, or some public databases.

[0061] In application, the parameter information of each wind turbine in the wind farm includes the layout information between each wind turbine and the parameter information of each wind turbine. The layout information between each wind turbine includes the location, spacing and other layout information of all wind turbines, which can be obtained through the design drawings of the wind farm, or through on-site surveys or drone aerial photography. The parameter information of each wind turbine includes parameters such as rotor diameter and tower height.

[0062] In applications, wind speed and direction information of natural wind can be obtained in real time through sensors (anemometers) installed in the wind farm, so that the wind speed or direction information of natural wind can be updated in real time when calculating the wind speed loss caused by the wake effect at each wind turbine.

[0063] It is understandable that the acquisition of all the above information should be carried out within the limits permitted by the relevant regulations.

[0064] Step S2: Based on the geographical location information, the parameter information, and the wind speed information, determine the first wind speed loss caused by the wake effect of a single upstream wind turbine, and proceed to step S3.

[0065] In applications, the actual wind speed loss caused by the wake effect exhibits a bimodal shape near the wake region and a unimodal shape far from the wake region, such as... Figure 2 As shown, to more accurately describe the change in wind speed loss shape in different wake regions, this embodiment uses two Gaussian functions, one forward and one reverse, to characterize the wind speed loss shape. Since there is no clear boundary between the near-wake and far-wake regions, the wind speed loss shape gradually transitions from a bimodal to a unimodal shape as the distance from the wind turbine increases, rather than changing abruptly. Therefore, this embodiment introduces a weighting factor for the Gaussian function when characterizing the wind speed loss shape, describing the weighting factor as an exponential function related to the distance from the wind turbine. In the near-wake region, the weighting factor corresponding to the reverse Gaussian function is larger, thus significantly canceling out the forward Gaussian function near its peak, resulting in a bimodal shape. Conversely, as the distance from the wind turbine increases in the far-wake region, the weighting factor corresponding to the reverse Gaussian function gradually decreases, and the decrease is greater than that of the forward Gaussian function, causing the wind speed loss shape to gradually change from a bimodal to a unimodal shape.

[0066] In one embodiment, step S2 specifically includes:

[0067] Based on the aforementioned geographical location information, the geographical location of each wind turbine within the wind farm is determined;

[0068] Based on the geographical location of each wind turbine in the wind farm, determine the standardized position of each wind turbine with respect to the diameter of the wind turbine impeller;

[0069] Based on the standardized positions of each wind turbine in the wind farm and the wind speed information, the first wind speed loss caused by the wake effect of a single upstream wind turbine is determined.

[0070] In this embodiment of the application, the geographical location of the downstream wind turbine in the geographic coordinate system can be represented as (x d ,y d ,h d The geographical location of the upstream wind turbine in the geographic coordinate system can be represented as (x u ,y u ,h u The standardized position of the downstream wind turbine with respect to the turbine impeller diameter D can be represented as follows: The standardized position of the upstream wind turbine with respect to the turbine impeller diameter D can be represented as: in, Therefore, as Figure 2 The first wind speed loss caused by the wake effect of a single wind turbine shown can be expressed as:

[0071]

[0072] Among them, v u (t) represents the wind speed of the natural wind at the upstream wind turbine at time t, v d1 (t) represents the wind speed at the downstream fan under the influence of the upstream fan wake effect, without considering other influencing factors; a w χ1 represents the first wind speed loss after standardization; χ2 represents the width of the wake region. The wake region expands approximately linearly. Therefore, in this embodiment, the width of the wake region of the wind turbine can be expressed as a linear increase in width with increasing distance from the wind turbine using the collected aerodynamic parameters of the turbine. s1 and s2 represent the wake region width growth rate, f1 and f2 represent the wake width at the fan, and both the wake region width growth rate and the wake width at the fan can be determined based on the fan's aerodynamic parameters; B represents the degree of wind speed loss; g1 and g2 represent the weighting factors of the Gaussian function. ω1, ω2, k1, k2, d1, and d2 all represent wake effect parameters, which can be determined based on the aerodynamic parameters of the fan.

[0073] In applications, wind turbine aerodynamic parameters include, but are not limited to, thrust coefficient (representing the wind turbine's ability to convert kinetic energy into mechanical energy), power coefficient (a parameter used to measure the efficiency of the wind turbine in converting wind energy into electrical energy), induced velocity ratio (a parameter used to measure the change in wind speed in front of and behind the wind turbine blades, representing the degree to which the wind turbine decelerates the incident wind speed), lift coefficient (a parameter used to measure the wind turbine blades' ability to generate lift), and drag coefficient (a parameter used to measure the wind turbine blades' ability to generate drag).

[0074] In applications, by analyzing the airflow through the fan using the conservation of mass and momentum, the following relationships can be obtained:

[0075]

[0076] Where ρ represents air density, C T This represents the thrust coefficient of the wind turbine, and r represents the distance between the upstream and downstream wind turbines.

[0077] By further simplifying and calculating formula (2), we can obtain an expression for the degree of wind speed loss:

[0078]

[0079] Continuing to solve formula (3), we can obtain the final form of the wind speed loss degree B:

[0080]

[0081] Substituting formula (4) into formula (1), we can obtain the standardized first wind speed loss caused by the wake effect of a single wind turbine without considering other influencing factors:

[0082]

[0083] Among them, a w χ1 represents the first wind speed loss; χ2 and χ2 represent the width of the wake region, and s1 and s2 represent the width growth rate of the wake region, and f1 and f2 represent the wake width at the fan. g1 and g2 represent the weighting factors of the Gaussian function, and ω1, ω2, k1, k2, d1, and d2 all represent wake effect parameters; C T Indicates the thrust coefficient of the fan; (x d ,y d ,h d (x) represents the geographical location of the downstream wind turbine in the geographic coordinate system. u ,y u ,hu This indicates the geographical location of the upstream wind turbine in the geographic coordinate system; This indicates the standardized position of the downstream wind turbine with respect to the turbine impeller diameter D. This indicates the standardized position of the upstream wind turbine with respect to the turbine impeller diameter D.

[0084] In one embodiment, such as Figure 3 As shown, step S2 is followed by the following steps S21 to S23:

[0085] Step S21: Based on the first wind speed loss, determine the first downstream wind speed of each wind turbine under the wake effect of a single upstream wind turbine without considering the influence of any target factors;

[0086] Step S22: Based on the first downstream wind speed, determine the second downstream wind speed of each wind turbine under the wake effect of a single upstream wind turbine after considering the influence of height factors;

[0087] Step S23: Based on the second downstream wind speed, determine the third downstream wind speed of each wind turbine under the wake effect of a single upstream wind turbine after considering the influence of height and terrain factors.

[0088] In application, according to formula (5), the first downstream wind speed of each fan under the wake effect of a single fan can be calculated as follows, without considering other influencing factors:

[0089] v d1 (t)=(1-a w )v u (t)(6).

[0090] In applications, the wind speed of natural wind at the same moment varies at different heights. Therefore, this application proposes a method for calculating wind speed with respect to height. Based on the wind speed of natural wind at corresponding heights collected by wind farm sensors, the wind speed of natural wind at each wind turbine height is calculated, thereby considering the influence of height in the wake effect calculation. The specific calculation method can be described as follows:

[0091] v d2 (t) / v d1 (t)=(h d / h s ) η (7);

[0092] Among them, v d2 (t) represents the downstream wind speed at time t after wind speed reduction, h s η represents the height of the sensor that collects natural wind data, and η represents the coefficient of wind speed variation with height.

[0093] Substituting formula (6) into (7), we can obtain the second downstream wind speed of each wind turbine under the wake effect of a single upstream wind turbine after considering the height factor:

[0094] v d2 (t)=(h d / h s ) η (1-a w )v u (t)(8).

[0095] In real-world environments, terrain features (such as hills, mountains, and steep slopes) significantly influence airflow patterns, thereby altering wind speed and direction distributions. Without proper correction, wind speed measurements may be inaccurate. Therefore, this embodiment introduces a terrain-related airflow correction coefficient to account for the terrain effect in wake calculations, thus obtaining the third downstream wind speed of each upstream wind turbine under the wake effect after considering both height and terrain factors.

[0096]

[0097] Among them, v d3 (t) represents the third downstream wind speed at time t after considering the effects of altitude and topography, where H represents the altitude of the terrain, L represents the width of the terrain, and λ1 and λ2 represent the airflow coefficients related to the terrain.

[0098] In application, the specific values ​​of λ1 and λ2 are shown in the table below:

[0099] Table 1

[0100]

[0101] In application, substituting formula (8) into formula (9), the third downstream wind speed can also be expressed as:

[0102]

[0103] Step S3: Based on the first wind speed loss and the wind direction information, determine the second wind speed loss in the wind direction coordinate system, and proceed to step S4.

[0104] In applications, the first wind speed loss is calculated in a geographic coordinate system. Changes in wind direction can alter the relative positions of wind turbines, causing a turbine that is upstream in a certain wind direction to become downstream after a change in wind direction. Therefore, in this embodiment, the geographical location of the wind turbine in the geographic coordinate system is converted to its position in a windward coordinate system, thereby considering the influence of wind direction in the wake effect calculation.

[0105] In one embodiment, step S3 specifically includes:

[0106] Establish a wind direction coordinate system based on the wind direction information;

[0107] The geographical locations of each wind turbine in the first wind speed loss are converted into their positions in the wind direction coordinate system to obtain the second wind speed loss.

[0108] In applications, when converting the geographical location of each wind turbine in the geographic coordinate system to its location in the wind direction coordinate system, a specific coordinate transformation diagram is shown below. Figure 4 As shown, it can be represented as:

[0109]

[0110] in, This represents the angle between the projection of the wind direction onto the xy-plane in the geographic coordinate system and that plane. This represents the angle between the projection of the wind direction onto the yh plane in the geographic coordinate system and the plane itself.

[0111] Specifically, (x) d ,y d ,h d ) converted to (x dw ,y dw ,h dw When ), it can be represented as:

[0112]

[0113] Specifically, (x) u ,y u ,h u ) converted to (x uw ,y uw ,h uw When ), it can be represented as:

[0114]

[0115] In application, the first wind speed loss a w All variables related to the wind turbine location are converted from the geographic coordinate system to the windward coordinate system according to formula (11), and then the standardized second wind speed loss in the windward coordinate system is obtained:

[0116] a′ w =a w Γ yh Γ xy (12);

[0117] Where, a′ w Indicates the second wind speed loss, a w Indicates the first wind speed loss, Γxy Γ represents the coordinate transformation matrix of the xy plane. yh This represents the coordinate transformation matrix of the yh plane.

[0118] Step S4: Based on the second wind speed loss, determine the downstream wind speed of each wind turbine under the wake effect of all upstream wind turbines after considering the influence of all target factors.

[0119] In one embodiment, the target factors include altitude, topography, wind direction, the combined effect of multiple wind turbines, and wind flow time lag.

[0120] In applications, target factors include, but are not limited to, altitude, topography, wind direction, the combined effect of multiple wind turbines, and airflow time lag. Depending on actual needs, the downstream wind speed of each wind turbine under the wake effect of all upstream wind turbines after considering only some of the target factors can also be used as the final calculation result.

[0121] In one embodiment, such as Figure 5 As shown, step S4 specifically includes the following steps S41 to S43:

[0122] Step S41: Based on the second wind speed loss and the third downstream wind speed, determine the fourth downstream wind speed of each wind turbine under the wake effect of a single upstream wind turbine after considering the influence of height, terrain and wind direction factors.

[0123] Step S42: Based on the second wind speed loss, determine the total wind speed loss caused by the wake effect of all upstream wind turbines after considering the influence of height, terrain and wind direction factors;

[0124] Step S43: Based on the total wind speed loss, determine the downstream wind speed of each wind turbine under the wake effect of all upstream wind turbines after considering the influence of all target factors.

[0125] In application, substituting formula (12) into formula (10) yields the fourth downstream wind speed of each upstream wind turbine under the wake effect of a single upstream wind turbine after considering the influence of height, terrain, and wind direction:

[0126]

[0127] In application, based on the second wind speed loss, the wind speed losses caused by the wake effects of all upstream wind turbines are aggregated to obtain the total wind speed loss caused by the wake effects of all upstream wind turbines after considering the influence of height, terrain, and wind direction factors:

[0128]

[0129] Where, a′wsum N represents the total wind speed loss. u Indicates the number of upstream wind turbines, a′ wl This represents the standardized wind speed loss caused by the wake effect of the l-th upstream wind turbine, taking into account factors such as altitude, terrain, and wind direction.

[0130] In application, based on the overall wind speed loss, the specific steps for determining the downstream wind speed of each wind turbine under the wake effect of all upstream wind turbines after considering the influence of all target factors are as follows.

[0131] In one embodiment, such as Figure 5 As shown, step S43 specifically includes the following steps S431 to S433:

[0132] Step S431: Based on the total wind speed loss, determine the fifth downstream wind speed of each wind turbine under the wake effect of all upstream wind turbines after considering the influence of height, terrain, wind direction and the superposition of multiple wind turbines.

[0133] Step S432: Determine the airflow time delay parameters;

[0134] Step S433: Based on the airflow time delay parameter, the fourth downstream wind speed, and the total wind speed loss, determine the downstream wind speed of each wind turbine under the wake effect of all upstream wind turbines after considering the influence of all target factors.

[0135] In application, based on the above formulas (13) and (14), the fifth downstream wind speed of each wind turbine under the wake effect of all upstream wind turbines after considering the influence of height, terrain, wind direction, and the superposition of multiple wind turbines can be obtained:

[0136]

[0137] In applications, wind takes a certain amount of time to pass through a wind farm. When the wind speed of natural wind changes, the wind speed change at the downstream wind turbine has a certain lag. Therefore, this application embodiment obtains the time lag of the wind after traveling a certain distance by dividing the forward distance of the wind by the integral operation of the wind speed, thereby realizing the consideration of the influence of wind flow time lag factor in the wake effect calculation.

[0138] The specific airflow time delay parameters can be calculated using the following formula:

[0139]

[0140] In application, according to the above formulas (15) and (16), the downstream wind speed of each wind turbine can be obtained after considering the influence of height, terrain, wind direction, superposition of multiple wind turbines and wind flow time lag, under the wake effect of all upstream wind turbines:

[0141]

[0142] Among them, v d (t) represents the downstream wind speed at time t after considering the effects of all target factors.

[0143] It is understandable that the downstream wind speed at each wind turbine can be calculated using formula (17). Since the influence of multiple target factors has been comprehensively considered in the calculation process, the calculation result can be directly used to analyze the operating status of the power system.

[0144] In one embodiment, step S4 is followed by:

[0145] The operating status of the power system is analyzed based on the downstream wind speed of each wind turbine.

[0146] In applications, the final downstream wind speed can be input into the power system model for power system analysis, specifically as follows:

[0147]

[0148] Where, x p (t) represents the state variables of the power system, y p (t) represents the algebraic variable of the power system, A p B p C p D p R p Q p Both represent the state-space matrix of the power system.

[0149] In this embodiment, by incorporating target factors such as height, terrain, wind direction, the combined effect of multiple wind turbines, and wind flow time lag into the calculation of wind farm wake effect, the influence of various factors on wake effect can be comprehensively quantified, making it applicable to wake effect calculations for various wind farms. Furthermore, using the downstream wind speed at each wind turbine within the wind farm as the output, it can be directly used for existing power system analysis, which helps improve the accuracy of the analysis results.

[0150] It should be understood that the sequence number of each step in the above embodiments does not imply the order of execution. The execution order of each process should be determined by its function and internal logic, and should not constitute any limitation on the implementation process of the embodiments of this application.

[0151] Example 2

[0152] This application also provides a wind farm wake effect calculation device for power system analysis, used to execute the method steps described in the above embodiments of the wind farm wake effect calculation method for power system analysis. This device can be a virtual appliance in a terminal device, run by the terminal device's processor, or it can be the terminal device itself.

[0153] like Figure 6 As shown, the wind farm wake effect calculation device 100 for power system analysis provided in this application embodiment includes an information acquisition module 101, a first determination module 102, a second determination module 103, and a third determination module 104.

[0154] The information acquisition module 101 is used to acquire the geographical location information of the wind farm, the parameter information of each wind turbine in the wind farm, and the wind speed and direction information of the natural wind.

[0155] The first determining module 102 is used to determine the first wind speed loss caused by the wake effect of a single upstream wind turbine based on the geographical location information, the parameter information and the wind speed information.

[0156] The second determining module 103 is used to determine the second wind speed loss in the wind direction coordinate system based on the first wind speed loss and the wind direction information.

[0157] The third determining module 104 is used to determine the downstream wind speed of each wind turbine under the wake effect of all upstream wind turbines after considering the influence of all target factors, based on the second wind speed loss; the target factors include height factors, terrain factors, wind direction factors, superposition effect factors of multiple wind turbines and wind flow time lag factors.

[0158] In one embodiment, the first determining module 102 is specifically used for:

[0159] Based on the aforementioned geographical location information, the geographical location of each wind turbine within the wind farm is determined;

[0160] Based on the geographical location of each wind turbine in the wind farm, determine the standardized position of each wind turbine with respect to the diameter of the wind turbine impeller;

[0161] Based on the standardized positions of each wind turbine in the wind farm and the wind speed information, the first wind speed loss caused by the wake effect of a single upstream wind turbine is determined.

[0162] In one embodiment, the first determining module 102 is specifically used for:

[0163] Based on the first wind speed loss, the first downstream wind speed of each wind turbine under the wake effect of a single upstream wind turbine is determined without considering the influence of any target factors.

[0164] Based on the first downstream wind speed, the second downstream wind speed of each wind turbine is determined under the wake effect of a single upstream wind turbine after considering the influence of height factors.

[0165] Based on the second downstream wind speed, the third downstream wind speed of each wind turbine is determined under the wake effect of a single upstream wind turbine after considering the influence of height and terrain factors.

[0166] In one embodiment, the second determining module 103 is specifically used for:

[0167] Establish a wind direction coordinate system based on the wind direction information;

[0168] The geographical locations of each wind turbine in the first wind speed loss are converted into their positions in the wind direction coordinate system to obtain the second wind speed loss.

[0169] In one embodiment, the third determining module 104 is specifically used for:

[0170] Based on the second wind speed loss and the third downstream wind speed, the fourth downstream wind speed of each wind turbine is determined under the wake effect of a single upstream wind turbine after considering the influence of height, terrain and wind direction factors.

[0171] Based on the second wind speed loss, the total wind speed loss caused by the wake effect of all upstream wind turbines after considering the influence of height, terrain and wind direction factors is determined.

[0172] Based on the overall wind speed loss, the downstream wind speed of each wind turbine is determined under the wake effect of all upstream wind turbines after considering the influence of all target factors.

[0173] In one embodiment, the third determining module 104 is specifically used for:

[0174] Based on the overall wind speed loss of each wind turbine under the wake effect, the fifth downstream wind speed of each wind turbine under the wake effect of all upstream wind turbines is determined after considering the influence of height, terrain, wind direction and the superposition of multiple wind turbines.

[0175] Determine the airflow time delay parameters;

[0176] Based on the aforementioned airflow time delay parameter, the fourth downstream wind speed, and the overall wind speed loss, the downstream wind speed of each wind turbine is determined under the wake effect of all upstream wind turbines after considering the influence of all target factors.

[0177] In one embodiment, the wind farm wake effect calculation device 100 for power system analysis further includes an analysis module 105, for:

[0178] The operating status of the power system is analyzed based on the downstream wind speed of each wind turbine.

[0179] In applications, each unit in the above-mentioned device can be a software program module, or it can be implemented by different logic circuits integrated in the processor or by independent physical components connected to the processor, or it can be implemented by multiple distributed processors.

[0180] Example 3

[0181] like Figure 7 As shown, this application embodiment also provides a terminal device 200, including: at least one processor 201 ( Figure 7 The diagram shows only one processor), memory 202, and a computer program 203 stored in memory 202 that can run on at least one processor 201. When processor 201 executes computer program 203, it implements the steps in the various method embodiments described above.

[0182] In applications, terminal devices may include, but are not limited to, processors and memory. Figure 7 This is merely an example of a terminal device and does not constitute a limitation on the terminal device. It may include more or fewer components than shown in the figure, or a combination of certain components, or different components. For example, human-computer interaction devices, input / output devices, network access devices, etc. The network access device may include a communication module for communication between the terminal device and the user terminal.

[0183] In applications, the processor can be a Central Processing Unit (CPU), but it can also be other general-purpose processors, digital signal processors (DSPs), application-specific integrated circuits (ASICs), field-programmable gate arrays (FPGAs), or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, etc. For example, the processor can be a timing controller (TCON). A general-purpose processor can be a microprocessor or any conventional processor.

[0184] In applications, the memory may be an internal storage unit of the terminal device in some embodiments, such as a hard drive or RAM. In other embodiments, the memory may be an external storage device of the terminal device, such as a plug-in hard drive, Smart Media Card (SMC), Secure Digital (SD) card, or Flash Card. The memory may also include both internal and external storage units of the terminal device. The memory is used to store the operating system, applications, boot loader, data, and other programs, such as program code for computer programs. The memory can also be used to temporarily store data that has been output or will be output.

[0185] In applications, the communication module can be configured as any device capable of long-distance wired or wireless communication directly or indirectly with user terminals, depending on actual needs. For example, the communication module can provide solutions for communication applications on network devices, including Wireless Local Area Networks (WLANs) (such as Wi-Fi networks), Bluetooth, Zigbee, mobile communication networks, Global Navigation Satellite System (GNSS), Frequency Modulation (FM), Near Field Communication (NFC), and Infrared (IR) technologies. The communication module can include an antenna, which can have a single element or be an antenna array with multiple elements. The communication module can receive electromagnetic waves through the antenna, frequency modulate and filter the electromagnetic wave signal, and send the processed signal to the processor. The communication module can also receive signals to be transmitted from the processor, frequency modulate and amplify them, and then convert them into electromagnetic waves for radiation via the antenna.

[0186] It should be noted that the information interaction and execution process between the above-mentioned devices / modules are based on the same concept as the method embodiments of this application. For details on their specific functions and technical effects, please refer to the method embodiments section, and they will not be repeated here.

[0187] Those skilled in the art will understand that, for the sake of convenience and brevity, the above-described division of functional modules is merely an example. In practical applications, the functions described above can be assigned to different functional modules as needed, that is, the internal structure of the device can be divided into different functional modules to complete all or part of the functions described above. The functional modules in the embodiments can be integrated into one processing module, or each module can exist physically separately, or two or more modules can be integrated into one module. The integrated modules can be implemented in hardware or as software functional modules. Furthermore, the specific names of the functional modules are only for easy differentiation and are not intended to limit the scope of protection of this application. The specific working process of the modules in the above system can be referred to the corresponding process in the foregoing method embodiments, and will not be repeated here.

[0188] This application also provides a computer-readable storage medium storing a computer program, which, when executed by a processor, can implement the steps in the above-described method embodiments.

[0189] This application provides a computer program product that, when run on a terminal device, enables the terminal device to implement the steps described in the various method embodiments above.

[0190] If the integrated module is implemented as a software functional module and sold or used as an independent product, it can be stored in a computer-readable storage medium. Based on this understanding, all or part of the processes in the methods of the above embodiments can be implemented by a computer program instructing related hardware. The computer program can be stored in a computer-readable storage medium, and when executed by a processor, it can implement the steps of the various method embodiments described above. The computer program includes computer program code, which can be in the form of source code, object code, executable files, or certain intermediate forms. The computer-readable medium can include at least: any entity or device capable of carrying the computer program code to a terminal device, a recording medium, a computer memory, a read-only memory (ROM), a random access memory (RAM), an electrical carrier signal, a telecommunication signal, and a software distribution medium, such as a USB flash drive, a portable hard drive, a magnetic disk, or an optical disk.

[0191] In the above embodiments, the descriptions of each embodiment have different focuses. For parts that are not described in detail or recorded in a certain embodiment, please refer to the relevant descriptions of other embodiments.

[0192] Those skilled in the art will recognize that the modules and algorithm steps of the various examples described in conjunction with the embodiments disclosed herein can be implemented in electronic hardware, or a combination of computer software and electronic hardware. Whether these functions are implemented in hardware or software depends on the specific application and design constraints of the technical solution. Those skilled in the art can use different methods to implement the described functions for each specific application, but such implementation should not be considered beyond the scope of this application.

[0193] In the embodiments provided in this application, it should be understood that the disclosed apparatus and methods can be implemented in other ways. For example, the apparatus embodiments described above are merely illustrative. For instance, the division of modules is only a logical functional division, and in actual implementation, there may be other division methods. For example, multiple modules or components may be combined or integrated into another system, or some features may be ignored or not executed. Furthermore, the coupling or direct coupling or communication connection shown or discussed may be through some interfaces; the indirect coupling or communication connection between apparatuses or modules may be electrical, mechanical, or other forms.

[0194] The modules described as separate components may or may not be physically separate. The components shown as modules may or may not be physical modules; that is, they may be located in one place or distributed across multiple network modules. Some or all of the modules can be selected to achieve the purpose of this embodiment according to actual needs.

[0195] The above-described embodiments are only used to illustrate the technical solutions of this application, and are not intended to limit them. Although this application has been described in detail with reference to the foregoing embodiments, those skilled in the art should understand that modifications can still be made to the technical solutions described in the foregoing embodiments, or equivalent substitutions can be made to some of the technical features. Such modifications or substitutions do not cause the essence of the corresponding technical solutions to deviate from the spirit and scope of the technical solutions of the embodiments of this application, and should all be included within the protection scope of this application.

Claims

1. A method for wind farm wake effect calculation for power system analysis, characterized in that, The method includes: Obtain the geographical location information of the wind farm, the parameter information of each wind turbine in the wind farm, and the wind speed and direction information of the natural wind; Based on the geographical location information, the parameter information, and the wind speed information, the first wind speed loss caused by the wake effect of a single upstream wind turbine is determined. Based on the first wind speed loss and the wind direction information, the second wind speed loss in the wind direction coordinate system is determined; Based on the second wind speed loss, the downstream wind speed of each wind turbine is determined under the wake effect of all upstream wind turbines after considering the influence of all target factors; the target factors include height factors, terrain factors, wind direction factors, the superposition effect of multiple wind turbines, and wind flow time lag factors.

2. The method for calculating wind farm wake effect for power system analysis as described in claim 1, characterized in that, The determination of the first wind speed loss caused by the wake effect of a single upstream wind turbine based on the geographical location information, the parameter information, and the wind speed information includes: Based on the aforementioned geographical location information, the geographical location of each wind turbine within the wind farm is determined; Based on the geographical location of each wind turbine in the wind farm, determine the standardized position of each wind turbine with respect to the diameter of the wind turbine impeller; Based on the standardized positions of each wind turbine in the wind farm and the wind speed information, the first wind speed loss caused by the wake effect of a single upstream wind turbine is determined.

3. The method for calculating wind farm wake effect for power system analysis as described in claim 2, characterized in that, After determining the first wind speed loss caused by the wake effect of a single upstream wind turbine based on the geographical location information, the parameter information, and the wind speed information, the process includes: Based on the first wind speed loss, the first downstream wind speed of each wind turbine under the wake effect of a single upstream wind turbine is determined without considering the influence of any target factors. Based on the first downstream wind speed, the second downstream wind speed of each wind turbine is determined under the wake effect of a single upstream wind turbine after considering the influence of height factors. Based on the second downstream wind speed, the third downstream wind speed of each wind turbine is determined under the wake effect of a single upstream wind turbine after considering the influence of height and terrain factors.

4. The wind farm wake effect calculation method for power system analysis as claimed in claim 3, wherein, The step of determining the second wind speed loss in the wind direction coordinate system based on the first wind speed loss and the wind direction information includes: Establish a wind direction coordinate system based on the wind direction information; The geographical locations of each wind turbine in the first wind speed loss are converted into their positions in the wind direction coordinate system to obtain the second wind speed loss.

5. The wind farm wake effect calculation method for power system analysis as claimed in claim 4, wherein, The determination of the downstream wind speed of each wind turbine based on the second wind speed loss, after considering the wake effect of all upstream wind turbines, includes: Based on the second wind speed loss and the third downstream wind speed, the fourth downstream wind speed of each wind turbine is determined under the wake effect of a single upstream wind turbine after considering the influence of height, terrain and wind direction factors. Based on the second wind speed loss, the total wind speed loss caused by the wake effect of all upstream wind turbines after considering the influence of height, terrain and wind direction factors is determined. Based on the overall wind speed loss, the downstream wind speed of each wind turbine is determined under the wake effect of all upstream wind turbines after considering the influence of all target factors.

6. The wind farm wake effect calculation method for power system analysis as claimed in claim 5, wherein, The determination of the downstream wind speed of each wind turbine under the wake effect of all upstream wind turbines after considering the overall wind speed loss includes: Based on the overall wind speed loss of each wind turbine under the wake effect, the fifth downstream wind speed of each wind turbine under the wake effect of all upstream wind turbines is determined after considering the influence of height, terrain, wind direction and the superposition of multiple wind turbines. Determine the airflow time delay parameters; Based on the aforementioned airflow time delay parameter, the fourth downstream wind speed, and the overall wind speed loss, the downstream wind speed of each wind turbine is determined under the wake effect of all upstream wind turbines after considering the influence of all target factors.

7. The method for wind farm wake effect calculation for power system analysis according to any of claims 1 to 6, characterized in that, The step of determining the downstream wind speed of each wind turbine based on the second wind speed loss, after considering the wake effect of all upstream wind turbines after taking into account the influence of all target factors, includes: The operating status of the power system is analyzed based on the downstream wind speed of each wind turbine.

8. A wind farm wake effect calculation apparatus for power system analysis, characterized by, The device includes: The information acquisition module is used to acquire the geographical location information of the wind farm, the parameter information of each wind turbine in the wind farm, and the wind speed and direction information of the natural wind. The first determining module is used to determine the first wind speed loss caused by the wake effect of a single upstream wind turbine based on the geographical location information, the parameter information, and the wind speed information. The second determining module is used to determine the second wind speed loss in the wind direction coordinate system based on the first wind speed loss and the wind direction information. The third determining module is used to determine the downstream wind speed of each wind turbine under the wake effect of all upstream wind turbines after considering the influence of all target factors, based on the second wind speed loss; the target factors include height factors, terrain factors, wind direction factors, multi-wind turbine superposition factors, and wind flow time lag factors.

9. A terminal device comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, characterized in that, When the processor executes the computer program, it implements the steps of the wind farm wake effect calculation method for power system analysis as described in any one of claims 1 to 7.

10. A computer program product, characterised in that, The computer program product includes a computer program that, when executed by a processor, implements the steps of the wind farm wake effect calculation method for power system analysis as described in any one of claims 1 to 7.