A method for establishing a three-dimensional full wake model of a horizontal axis wind turbine

By establishing a three-dimensional full wake model of a horizontal axis wind turbine, using technical means such as Jensen wake model and dual Gaussian function, the problem of full-field control of wind turbine load is solved, and the accurate analysis of the wake distribution of wind farm and the increase in the power generation of wind farm are achieved.

CN114707437BActive Publication Date: 2025-03-04NORTH CHINA ELECTRIC POWER UNIV
View PDF 2 Cites 0 Cited by

Patent Information

Application Number
CN202210312278.7
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2022-03-28
Publication Date
2025-03-04
Estimated Expiration
2042-03-28

AI Technical Summary

Technical Problem

The prior art is difficult to effectively control the entire field of wind turbine load, which makes it difficult to reduce the impact of wake on wind turbines, which in turn affects the power generation of the wind farm.

Method used

By establishing a three-dimensional full wake model of a horizontal axis wind turbine, the preset Jensen wake model, double Gaussian function and mass conservation algorithm are used to calculate the initial vertical height full wake wind velocity distribution, and the vertical height full wake wind velocity distribution is corrected through wind shear curve correction, and finally a three-dimensional full wake model is constructed.

Benefits of technology

This method can more accurately analyze the wake distribution in the entire wake area downstream of the wind turbine, provide guidance for the load control of the downstream wind turbine, reduce the impact of the wake on the wind turbine, and increase the power generation of the wind farm.

✦ Generated by Eureka AI based on patent content.

Smart Images

  • Figure CN114707437B_ABST
    Figure CN114707437B_ABST
Patent Text Reader

Abstract

The present invention relates to the technical field of wind field data analysis, and in particular to a method for establishing a three-dimensional full wake model of a horizontal axis wind turbine. The method comprises the following steps: acquiring wind field data, calculating the wind field data based on a preset Jensen wake model, a double Gaussian function and a mass conservation algorithm to obtain an initial vertical height full wake wind speed distribution; acquiring incoming flow wind speed data, generating a wind shear curve, calculating a mass loss according to the wind shear curve, and correcting the initial vertical height wake wind speed distribution by the mass loss to obtain a corrected vertical height full wake wind speed distribution; solving a horizontal plane full wake wind speed distribution according to the corrected vertical height full wake wind speed distribution, and combining the corrected vertical height wake wind speed distribution with the horizontal plane full wake wind speed distribution to construct a three-dimensional full wake model.
Need to check novelty before this filing date? Find Prior Art

Description

Technical Field

[0001] The present invention relates to the technical field of wind field data analysis, and in particular to a method for establishing a three-dimensional full wake model of a horizontal axis wind turbine. Background Art

[0002] Wind power generation refers to the conversion of wind kinetic energy into electrical energy, and it also plays a very important role in achieving carbon neutrality goals. In the process of wind power generation, the presence of wake can easily lead to an increase in fatigue load on downstream wind turbines, resulting in a loss of wind turbine power generation. However, full-field control of wind turbine loads can effectively reduce the impact of wake on wind turbines, and full-field control of wind turbine loads often requires the construction of a wake model. Therefore, an accurate multi-dimensional wake model plays an important role in optimizing the layout of wind turbines and the economic operation of wind farms. Summary of the invention

[0003] The object of the present invention is to provide a method for establishing a three-dimensional full wake model of a horizontal axis wind turbine, which is used to solve the above technical problems.

[0004] The embodiments of the present invention are implemented by the following technical solutions:

[0005] A method for establishing a three-dimensional full wake model of a horizontal axis wind turbine includes the following contents:

[0006] Obtain wind field data, calculate the wind field data based on the preset Jensen wake model, double Gaussian function and mass conservation algorithm, and obtain the initial vertical height full wake wind speed distribution;

[0007] The incoming wind speed data is obtained to generate a wind shear curve, and the mass loss is calculated based on the wind shear curve. The initial vertical height wake wind speed distribution is corrected by the mass loss to obtain the corrected vertical height full wake wind speed distribution;

[0008] The horizontal plane full wake wind speed distribution is solved according to the corrected vertical height full wake wind speed distribution, and a three-dimensional full wake model is constructed by combining the corrected vertical height wake wind speed distribution and the horizontal plane full wake wind speed distribution.

[0009] Optionally, the calculation formula of the double Gaussian function is as follows:

[0010]

[0011] in, Represents the vertical distance from the Gaussian minimum to the center of the hub. When , it is a single Gaussian function, when When , it is a double Gaussian function; x represents the distance from the downstream position of the wind turbine in the wake zone axis direction; A and B are unknown parameters, A is the first parameter, and B is the second parameter; is the vertical height from the center of the wheel hub; is the standard deviation of the Gaussian function in the vertical direction; is the incoming wind speed at the center of the wind turbine hub.

[0012] Optionally, the initial vertical height full wake wind speed distribution, the specific solution steps include:

[0013] Obtain wind field data, predict the initial vertical height full wake wind speed distribution based on the wind field data, and solve the wind field data according to the density function curve properties of the Gaussian distribution and the preset Jensen wake model to obtain the standard deviation of the Gaussian function and the vertical distance from the Gaussian minimum to the hub center;

[0014] Solving the wind field data based on the preset Jensen wake model and the double Gaussian function to obtain the value of the second parameter, and calculating the value of the first parameter based on the value of the second parameter and the calculation formula of the mass conservation algorithm;

[0015] Substituting the value of the first parameter, the value of the second parameter, the standard deviation of the Gaussian distribution, and the vertical distance from the Gaussian minimum to the center of the hub into the predicted initial vertical height full wake wind speed distribution for calculation, the initial vertical height full wake wind speed distribution is obtained;

[0016] The specific calculation formulas for the first parameter, the second parameter, the standard deviation of the Gaussian distribution and the vertical distance from the Gaussian minimum to the center of the wheel hub are as follows:

[0017]

[0018] in, is the vertical height wake expansion coefficient; is the initial wake radius; is the downwind distance; is the wake radius; is the standard deviation of the Gaussian function in the vertical direction; , All are parameters, parameters depending on The size of the tail loss at Depends on how fast the wake changes from double-Gaussian to single-Gaussian, and where the maximum wake loss is on the flow toward the hub centerline; is the axial induction factor;

[0019] The calculation formula of the initial vertical height full wake wind speed distribution is as follows:

[0020] .

[0021] Optionally, the calculation formula of the wind shear curve is as follows:

[0022]

[0023] in, is the center height of the wind turbine hub, is the height from the ground, is the wind shear index, is the incoming wind speed at the center of the wind turbine hub.

[0024] Optionally, the calculation formula of the mass loss is as follows:

[0025]

[0026]

[0027] in, For quality loss, is the incoming wind speed at the center of the wind turbine hub, is the vertical wake radius, is the initial wake radius.

[0028] Optionally, the calculation formula for the modified vertical height full wake wind speed distribution is as follows:

[0029]

[0030]

[0031] in, Represents the wake velocity of the preset Jensen wake model.

[0032] Optionally, the calculation formula of the horizontal plane full wake wind speed distribution is as follows:

[0033]

[0034] in, is the distance from the center of the wheel hub on the horizontal plane, is the standard deviation of the horizontal Gaussian distribution, and the horizontal wake radius ,parameter depending on The size of the tail loss at It depends on the speed at which the wake changes from double Gaussian to single Gaussian and the position of the maximum wake loss on the flow to the hub centerline (parameter , and the same as in the vertical direction), the horizontal distance from the Gaussian minimum to the rotor center , horizontal wake expansion coefficient .

[0035] Optionally, the calculation formula of the three-dimensional full wake model is as follows:

[0036]

[0037] in, is the center height of the wind turbine hub, is the vertical height from the center of the wheel hub, is the incoming wind speed at the center of the wind turbine hub, is the horizontal position parameter, is a natural constant, is the standard deviation of the horizontal Gaussian distribution, is the first parameter, is the axial induction factor, is the wake radius, is the wind shear index.

[0038] A system applied to any one of the above methods, comprising: an initial vertical height full wake wind speed distribution calculation module, a mass loss calculation module, a modified vertical height full wake wind speed distribution calculation module, a horizontal plane full wake wind speed distribution calculation module, and a three-dimensional full wake model establishment module; the initial vertical height full wake wind speed distribution calculation module, the mass loss calculation module, the modified vertical height full wake wind speed distribution calculation module, the horizontal plane full wake wind speed distribution calculation module, and the three-dimensional full wake model establishment module are connected in sequence.

[0039] An electronic device applied to any one of the above methods, comprising:

[0040] Memory for storing computer programs;

[0041] A processor is used to implement the steps of a method for establishing a three-dimensional full wake model of a horizontal axis wind turbine as described in any one of the above when executing the computer program.

[0042] The technical solution of the embodiment of the present invention has at least the following advantages and beneficial effects:

[0043] The present invention has a reasonable design and a simple structure. The present invention proposes a three-dimensional full wake model. The three-dimensional full wake model provides a corresponding reference by considering and analyzing the downstream wind turbine load in the wind turbine control strategy adjustment process, and further improves the wake model for optimizing the wind turbine control strategy. It can not only more accurately analyze the wake distribution of the entire wake area downstream of the wind turbine, but also provide guidance for the load control of the downstream wind turbine, reduce the impact of the wake on the wind turbine, and improve the power generation of the wind farm. BRIEF DESCRIPTION OF THE DRAWINGS

[0044] Figure 1A schematic flow chart of a method for establishing a three-dimensional full wake model of a horizontal axis wind turbine provided by the present invention;

[0045] Figure 2 A schematic diagram of a curve of a double Gaussian and a single Gaussian combined therewith provided by the present invention;

[0046] Figure 3 A schematic diagram of the wake wind speed distribution at a vertical height without considering the influence of shear wind provided by the present invention;

[0047] Figure 4 A schematic diagram comparing the horizontal sections of the three-dimensional full wake model in the near wake area provided by the present invention and the three-dimensional, two-dimensional, and Jensen wake models;

[0048] Figure 5 A schematic diagram showing the comparison of the wake velocity of the hub centerline between the three-dimensional full wake model in the near wake region provided by the present invention and the three-dimensional, two-dimensional and Jensen wake models;

[0049] Figure 6 A schematic diagram of a system for establishing a three-dimensional full wake model provided by the present invention. DETAILED DESCRIPTION

[0050] In order to make the purpose, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below in conjunction with the drawings in the embodiments of the present invention. Obviously, the described embodiments are part of the embodiments of the present invention, not all of the embodiments. Generally, the components of the embodiments of the present invention described and shown in the drawings here can be arranged and designed in various different configurations.

[0051] like Figure 1 , Figure 2 As shown, the present invention provides one embodiment, specifically a method for establishing a three-dimensional full wake model of a horizontal axis wind turbine, according to the standard density function curve of the two-dimensional Gaussian distribution, 2.81 standard deviations ( ) can satisfy the probability of 99% in each dimension. For the double Gaussian function to satisfy the probability of 99% in each dimension, the wake radius ( represents the distance from the Gaussian minimum to the center of the wheel hub) to meet the requirements, so the specific steps are as follows:

[0052] Step 1: Based on the preset Jensen wake model, double Gaussian function and the law of conservation of mass, prediction is performed to obtain the full wake wind speed distribution of the vertical height without considering the influence of shear wind, that is, the initial vertical height full wake wind speed distribution described in the present invention. The model is actually a function, through which the shape of the wake can be predicted, and then the accuracy of the function is verified by wind tunnel or wind field experimental data, and the data predicted by the model can be calculated by MATLAB.

[0053] Among them, the Jensen wake model and the double Gaussian function (double Gaussian in the near wake area and single Gaussian in the far wake area) are preset.

[0054] In order to accurately describe the wind speed distribution in the three-dimensional space of the entire wake area, the wake model proposed in this embodiment assumes that the wake velocity U is a three-dimensional function of space, that is, U=U(x, y, z), and establishes a three-dimensional coordinate system with the center of the wind turbine hub as the coordinate origin: the x direction represents the axis direction of the wake area, which is ideally the direction of the incoming wind speed; the y direction represents the horizontal direction lateral to the wake axis; the z direction is perpendicular to the wake axis and vertically upward.

[0055] In this step, the wind speed near the wake at the vertical height is first predicted to be a double Gaussian distribution, and the far wake area is a Gaussian distribution. The calculation formula is as follows:

[0056]

[0057] in, When is a single Gaussian function, When is a double Gaussian function, represents the vertical distance from the Gaussian minimum to the center of the wheel hub. A and B are unknown parameters. A is the first parameter, B is the second parameter, and z represents the vertical height from the center of the wheel hub. is the standard deviation of the Gaussian function in the vertical direction. Using the assumption of linear expansion of the wake in the Jensen wake model, the wake radius Downwind distance Linear relationship: , is the vertical height wake expansion coefficient, is the initial wake radius (the initial wake radius refers to the wake radius after the free wind just passes the wind turbine). ,in, is the incoming flow turbulence intensity, is the axial thrust coefficient. Assume that the wake radius in the vertical direction is ,but: ,from The expression shows that as the flow distance The increase of It gradually decreases and approaches zero in the far wake region, which transforms from a double Gaussian type in the near wake region to a single Gaussian type in the far wake region. Depend on The size of the wake loss at It is determined by the speed at which the double-Gaussian wake changes into a single-Gaussian wake and the position of the maximum wake loss on the hub centerline in the flow direction.

[0058] Based on the preset Jensen model and double Gaussian function, it is determined that when the vertical height is the wake radius, the wake wind speed is equal to the incoming wind speed at the hub. hour, , the calculation formula is as follows:

[0059]

[0060]

[0061] Obtain Approximately 0, thereby obtaining the value of the second parameter B.

[0062] Assuming that the mass flux of the three-dimensional full wake model is the same as that of the Jensen wake model, we can obtain:

[0063]

[0064] in, For the Jensen wake model The mass flux, axial induction factor , from the thrust coefficient Determine, where the thrust coefficient It can be found in the technical manual of the fan manufacturer. The value of the first parameter is calculated based on the value of the second parameter and the calculation formula of the law of conservation of mass. The expressions of the first parameter, the second parameter, the standard deviation of the Gaussian distribution and the vertical distance from the Gaussian minimum to the center of the hub are obtained as follows:

[0065]

[0066] Finally, the value of the first parameter, the value of the second parameter, the standard deviation of the Gaussian distribution, and the vertical distance from the Gaussian minimum to the center of the hub are substituted into the predicted vertical height full wake wind speed distribution to obtain the vertical height full wake wind speed distribution without considering the shear wind effect. The calculation formula for the vertical height full wake wind speed distribution without considering the shear wind effect is as follows:

[0067]

[0068] like Figure 3As shown in the figure, after the wind passes through the wind turbine, the wind speed presents a double Gaussian distribution in the near wake area and a Gaussian distribution in the far wake area.

[0069] Step 2: Obtain the wind shear curve of the incoming wind speed, introduce the wind shear wind speed and the wind speed difference between the hub center, obtain the mass loss, and obtain the corrected vertical height wake wind speed distribution of the entire wake field, that is, the corrected vertical height full wake wind speed distribution described in the present invention, wherein the incoming wind speed refers to undisturbed wind, also called free wind.

[0070] Specifically, the formula for the wind shear curve is as follows: , the speed difference between shear wind and hub center flow ;

[0071] in, is the center height of the wind turbine hub, is the height from the ground, The wind shear index is determined by the topography and atmospheric environment of the area where the wind farm is located. A typical value on land is 0.14 or given by the formula Ask for, and For known height and The measured wind speed.

[0072] Next, consider the mass difference caused by the introduction of shear wind inflow. The calculation formula is:

[0073]

[0074]

[0075] The wake velocity distribution of the vertical section considering the shear wind is solved as follows: , Represents the wake velocity of the Jensen wake model.

[0076] Step 3: predict the wake velocity on the horizontal plane to obtain the wake wind speed distribution on the horizontal plane of the entire wake field, that is, the horizontal plane full wake wind speed distribution described in the present invention.

[0077] Specifically, because the wake distribution in the vertical and horizontal directions is different, we first use the mass protection principle to derive the vertical direction (the vertical direction is asymmetric distribution), and then the horizontal direction is symmetrical distribution. According to the full wake wind speed distribution of the corrected vertical height, it is assumed that the full wake speed distribution in the horizontal direction of the wake area is:

[0078]

[0079] Where y represents the distance from the center of the wheel hub on the horizontal plane, is the standard deviation of the horizontal Gaussian distribution, and the horizontal wake radius , the horizontal distance from the Gaussian minimum to the rotor center , horizontal wake expansion coefficient .

[0080] The above mass difference formula is for when y=0 The plane solution is obtained , and solve for the parameters :

[0081]

[0082] Step 4: Establish a three-dimensional full wake model based on the wake wind speed distribution of the corrected vertical height and the horizontal plane of the entire wake field.

[0083]

[0084] The three-dimensional wake model is divided into two parts: the vertical height full wake wind speed distribution and the horizontal plane full wake wind speed distribution; the combination of the two is the three-dimensional full wake model, which can describe the three-dimensional space wind speed of the wind farm in detail. According to the actual needs of the project, the two parts can be used separately to reduce the calculation workload and improve efficiency.

[0085] In the first embodiment of the present invention, the full wake wind speed distribution at the vertical height without considering the influence of shear wind is corrected by the mass loss caused by the wind speed difference, and then a three-dimensional full wake model is established in combination with the full wake wind speed distribution on the horizontal plane. This can improve the accuracy of the wake model in predicting the wind speed distribution in the entire wake area, including the near wake area and the far wake area, and can be applied to the layout optimization of wind farms and wind power prediction.

[0086] like Figure 4 As shown, it is a comparison diagram of the horizontal section of the three-dimensional full wake model in the near wake area and the three-dimensional, two-dimensional, and Jensen wake models. It can be seen that the three-dimensional full wake model in this embodiment is suitable for wind power generation in complex terrain.

[0087] like Figure 5 As shown, it is a comparison diagram of the wake velocity of the three-dimensional full wake model in the near wake area and the three-dimensional, two-dimensional, and Jensen wake models at the center line of the hub. It can be seen that the three-dimensional full wake model in this embodiment is relatively more accurate.

[0088] like Figure 6As shown, the present invention also provides another embodiment, specifically a three-dimensional full wake model establishment system, the system includes: an initial vertical height full wake wind speed distribution calculation module, a mass loss calculation module, a corrected vertical height full wake wind speed distribution calculation module, a horizontal plane full wake wind speed distribution calculation module, and a three-dimensional full wake model establishment module; the initial vertical height full wake wind speed distribution calculation module, the mass loss calculation module, the corrected vertical height full wake wind speed distribution calculation module, the horizontal plane full wake wind speed distribution calculation module, and the three-dimensional full wake model establishment module are connected in sequence.

[0089] Among them: the initial vertical height full wake wind speed distribution calculation module, which has a preset Jensen wake model and a double Gaussian function, is used to make predictions based on the preset Jensen wake model, the double Gaussian function and the law of conservation of mass to obtain the vertical height full wake wind speed distribution without considering the influence of shear wind.

[0090] The initial vertical height full wake wind speed distribution calculation module also presets the following steps:

[0091] Obtain the full wake wind speed distribution at vertical height without considering shear winds in the forecast;

[0092] The standard deviation of the Gaussian function is determined based on the density function curve properties of the Gaussian distribution and the linear expansion assumption of the wake in the Jensen wake model (the standard deviation determines how wide the predicted wake area is); the standard deviation can be obtained by Solution, is an assumption in the Jensen model. Assume first that the wake radius of the Jensen model is correct, equal to , using the wake radius of the Jensen model to determine the standard deviation of this model is actually indirectly determining the wake radius of our model, that is, how wide the wake area is.

[0093] The inputs are x and thrust coefficient, turbulence intensity, etc. Based on the preset Jensen wake model and double Gaussian function, it is determined that when the vertical height is the wake radius, the wake wind speed is equal to the incoming wind speed at the hub, and the value of the second parameter is obtained;

[0094] Obtain the calculation formula of the law of conservation of mass;

[0095] Calculating the value of the first parameter according to the value of the second parameter and the calculation formula of the law of conservation of mass;

[0096] The value of the first parameter, the value of the second parameter and the standard deviation of the Gaussian distribution are substituted into the predicted vertical height full wake wind speed distribution to obtain the vertical height full wake wind speed distribution without considering the influence of shear wind.

[0097] The mass loss calculation module is used to obtain the wind shear curve of the incoming wind speed and calculate the mass loss caused by the wind shear.

[0098] The corrected vertical height full wake wind speed distribution calculation module is used to correct the vertical height full wake wind speed distribution that does not consider the shear wind effect, and obtain the corrected vertical height full wake wind speed distribution.

[0099] The horizontal plane full wake wind speed distribution calculation module is used to predict the horizontal plane full wake speed and obtain the horizontal plane full wake wind speed distribution.

[0100] The three-dimensional full wake model building module is used to build a three-dimensional full wake model based on the full wake wind speed distribution of the corrected vertical height and the full wake wind speed distribution of the horizontal plane.

[0101] The three-dimensional full wake model building module calculates the height parameter according to any point on the wake area axis;

[0102] Substituting the value of the height parameter into the formula of the horizontal plane full wake wind speed distribution, a three-dimensional full wake model is obtained.

[0103] Specifically, the incoming flow (free flow) is input, the theoretical wake value is calculated through the model, and then the theoretical wake value is verified using the wake measured in the wind field.

[0104] The above are only preferred embodiments of the present invention and are not intended to limit the present invention. For those skilled in the art, the present invention may have various modifications and variations. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention shall be included in the protection scope of the present invention.

Claims

1. A method for establishing a three-dimensional full wake model of a horizontal axis wind turbine, characterized in that: It includes the following: Obtain wind field data, calculate the wind field data based on the preset Jensen wake model, double Gaussian function and mass conservation algorithm, and obtain the initial vertical height full wake wind speed distribution; Obtain incoming wind speed data, generate a wind shear curve, calculate the mass loss based on the wind shear curve, correct the initial vertical height wake wind speed distribution by the mass loss, and obtain the corrected vertical height full wake wind speed distribution; The horizontal plane full wake wind speed distribution is solved according to the corrected vertical height full wake wind speed distribution, and a three-dimensional full wake model is constructed by combining the corrected vertical height wake wind speed distribution and the horizontal plane full wake wind speed distribution.

2. The method according to claim 1, characterized in that The calculation formula of the initial vertical height full wake wind speed distribution is as follows: in, Represents the vertical distance from the Gaussian minimum to the center of the hub. When , it is a single Gaussian function, when When , it is a double Gaussian function; x represents the distance from the downstream position of the wind turbine in the wake zone axis direction; A and B are unknown parameters, A is the first parameter, and B is the second parameter; is the vertical height from the center of the wheel hub; is the standard deviation of the Gaussian function in the vertical direction; is the incoming wind speed at the center of the wind turbine hub.

3. The method according to claim 2, characterized in that The specific solution steps of the initial vertical height full wake wind speed distribution include: Obtain wind field data, predict the initial vertical height full wake wind speed distribution based on the wind field data, and solve the wind field data according to the density function curve properties of the Gaussian distribution and the preset Jensen wake model to obtain the standard deviation of the Gaussian function; Solving the wind field data based on the preset Jensen wake model and the double Gaussian function to obtain the value of the second parameter, and calculating the value of the first parameter based on the value of the second parameter and the calculation formula of the mass conservation algorithm; Substituting the value of the first parameter, the value of the second parameter and the standard deviation of the Gaussian distribution into the predicted initial vertical height full wake wind speed distribution for calculation, the initial vertical height full wake wind speed distribution is obtained; The specific calculation formulas for the first parameter, the second parameter, the standard deviation of the Gaussian distribution, and the vertical distance from the Gaussian minimum to the center of the wheel hub are as follows: Among them, the vertical height wake expansion coefficient ; is the incoming flow turbulence intensity; is the thrust coefficient; initial wake radius ; is the wind turbine diameter; axial induction factor ; is the downwind distance; is the wake radius in the vertical direction; is the standard deviation of the Gaussian function in the vertical direction; , All are parameters, parameters depending on The size of the tail loss at Depends on how fast the wake changes from double-Gaussian to single-Gaussian, and where the maximum wake loss is on the flow toward the hub centerline; The calculation formula of the initial vertical height full wake wind speed distribution is as follows: 。 4. The method according to claim 3, characterized in that The calculation formula of the wind shear curve is as follows: in, is the center height of the wind turbine hub, is the height from the ground, is the wind shear index, is the incoming wind speed at the center of the wind turbine hub.

5. The method according to claim 4, characterized in that The calculation formula of the mass loss is as follows: in, The speed difference between the shear wind and the center flow of the hub; For quality loss, is the incoming wind speed at the center of the wind turbine hub, is the wake radius, is the initial wake radius.

6. The method according to claim 5, characterized in that The calculation formula of the modified vertical height full wake wind speed distribution is as follows: in, Represents the wake velocity of the preset Jensen wake model.

7. The method according to claim 6, characterized in that The calculation formula of the horizontal plane full wake wind speed distribution is as follows: in, is the distance from the center of the hub on the horizontal plane, is the standard deviation of the horizontal Gaussian distribution, and the horizontal wake radius , the horizontal distance from the Gaussian minimum to the rotor center , horizontal wake expansion coefficient .

8. The method according to claim 7, characterized in that The calculation formula of the three-dimensional full wake model is as follows: in, is the center height of the wind turbine hub, is the vertical height from the center of the wheel hub, is the horizontal distance from the center of the wheel hub, is the incoming wind speed at the center of the wind turbine hub, is the horizontal position parameter, is a natural constant, is the standard deviation of the horizontal Gaussian distribution, is the standard deviation of the vertical Gaussian distribution, is the first parameter, is the axial induction factor, is the vertical wake radius, is the wind shear index.

9. A system applied to the method according to any one of claims 1 to 8, characterized in that: include: An initial vertical height full wake wind speed distribution calculation module, a mass loss calculation module, a modified vertical height full wake wind speed distribution calculation module, a horizontal plane full wake wind speed distribution calculation module, and a three-dimensional full wake model establishment module; the initial vertical height full wake wind speed distribution calculation module, the mass loss calculation module, the modified vertical height full wake wind speed distribution calculation module, the horizontal plane full wake wind speed distribution calculation module, and the three-dimensional full wake model establishment module are connected in sequence.

10. An electronic device applied to the method according to any one of claims 1 to 8, characterized in that: include: Memory for storing computer programs; A processor is used to implement the steps of a method for establishing a three-dimensional full wake model of a horizontal axis wind turbine as described in any one of claims 1 to 8 when executing the computer program.

Citation Information

Patent Citations

  • Mass conservation-based two-dimensional far-field wake flow analysis model

    CN108509718A

  • Spatial variation-based dynamic double-Gaussian wind turbine wake flow speed calculation method

    CN114091377A