Design method and device for checking gap between semi-open radial and mixed flow impeller blade tip

Abstract

The application discloses a semi-open type radial flow and mixed flow impeller tip clearance checking design method and device, relates to the technical field of impellers, and comprises the following steps: obtaining basic data and setting parameters of an impeller tip, wherein the basic data comprises tip deformation data, cold-state tip profile data and meridian cover line data; constructing a curve coordinate mapping relationship of cold-state-hot-state tip profile based on the tip deformation data and the cold-state tip profile data, and constructing a mapping relationship of the curve coordinate of the cold-state tip profile and meridian coordinates based on the cold-state tip profile data and the meridian cover line data; calculating the cold-state tip clearance distribution and the hot-state tip clearance distribution of the pressure side and the suction side tip line of a target blade changing with meridian coordinates according to the curve coordinate mapping relationship of the cold-state-hot-state tip profile and the mapping relationship of the curve coordinate of the cold-state tip profile and meridian coordinates; and calculating the cold-state clearance distribution of the target blade based on the cold-state tip clearance distribution, the hot-state tip clearance distribution and the setting parameters.

Description

Technical Field

[0001] This application relates to the field of impeller technology, and in particular to a method and apparatus for verifying the tip clearance of a semi-open radial and mixed flow impeller. Background Technology

[0002] Radial / mixed-flow compressors, as continuous, stable, and high-flow-rate high-pressure gas supply devices, are widely used in key fields such as energy and power, chemical processes, and aerospace. Their performance level directly affects the core competitiveness of industries. The radial / mixed-flow impeller, as the core working component of this type of compressor, plays a crucial role in converting input shaft power into gas kinetic and pressure energy. Its working efficiency essentially determines the aerodynamic performance of the entire device. Impellers can be classified into closed and semi-open types according to their structure. Semi-open impellers, due to the separation of the blade tip and the impeller cover to form a tip clearance, have advantages such as low rotational inertia, simple processing, higher rotational speed for the same size, and the ability to achieve higher pressure ratios and flow rates. However, the leakage flow caused by the tip clearance usually results in lower performance than closed impellers. Although the tip clearance is only 1% to 3% of the blade height, its size has a significant impact on the impeller's aerodynamic performance. Generally, every 1% increase in blade height in tip clearance leads to a 1% to 2% decrease in aerodynamic performance. Therefore, the rational design of the tip clearance is key to balancing impeller safety and performance.

[0003] The core of tip clearance design is determining the cold clearance (actual machined dimensions). Priority must be given to ensuring sufficient safety margin for the hot clearance during impeller operation to avoid hard friction and collision between the impeller and the shroud. Simultaneously, the hot clearance should be minimized to improve aerodynamic performance. The current mainstream tip clearance design method involves: first, estimating the tip clearance values ​​of the leading and trailing edges of the main blades; determining the clearance for the middle portion of the blade using linear interpolation; then, calculating the hot radial displacement at the leading edge and the hot axial displacement at the trailing edge using numerical simulation; and adjusting the cold tip clearance of the leading and trailing edges accordingly to ensure no interference occurs at the inlet and outlet.

[0004] The existing technical solution has a core technical flaw: it only verifies the cold clearance distribution by checking the hot clearance at the leading and trailing edges of the main blade, without effectively controlling the tip clearance distribution in the middle of the blade. Furthermore, it ignores the need for corrections to the cold clearance design based on the hot clearance of the splitter blades, resulting in an incomplete verification of the tip clearance distribution of the main / splitter blades. This problem easily leads to excessively large or small hot clearances in the middle of the blade, making it impossible to accurately control the tip clearance distribution and balancing impeller safety and optimal performance. Summary of the Invention

[0005] In view of this, this application provides a verification design method and device for the tip clearance of semi-open radial and mixed flow impellers, which can achieve precise control of the tip clearance distribution and take into account both the safety and optimal performance of the impeller.

[0006] According to a first aspect of this application, a method for verifying the tip clearance of semi-open radial and mixed-flow impellers is provided, comprising:

[0007] Acquire basic data and setting parameters for the impeller blade tip. The basic data includes blade tip deformation data, cold blade tip profile data, and meridional cover line data. The setting parameters include the desired hot clearance distribution and the minimum cold clearance value. The cold blade tip profile data includes the suction-side cold blade tip profile and the pressure-side cold blade tip profile of the target blade. The target blade includes at least the main blade.

[0008] Based on the blade tip deformation data and the cold blade tip profile data, a curve coordinate mapping relationship between the cold and hot blade tip profiles is constructed, and based on the cold blade tip profile data and the meridional cover line data, a mapping relationship between the curve coordinates of the cold blade tip profile and the meridional coordinates is constructed.

[0009] Based on the curve coordinate mapping relationship of the cold-hot blade tip profile and the mapping relationship between the curve coordinate of the cold blade tip profile and the meridional coordinate, calculate the cold-hot blade tip clearance distribution and the hot-hot blade tip clearance distribution of the pressure side and suction side blade tip lines of the target blade as the meridional coordinate changes.

[0010] Based on the cold-state blade tip clearance distribution, the hot-state blade tip clearance distribution, and the set parameters, the cold-state clearance distribution of the target blade is calculated.

[0011] According to a second aspect of this application, a verification design device for the tip clearance of semi-open radial and mixed flow impellers is provided, comprising:

[0012] The acquisition module is used to acquire basic data and setting parameters of the impeller blade tip. The basic data includes blade tip deformation data, cold blade tip profile data and meridional cover line data. The setting parameters include the desired hot clearance distribution and the minimum cold clearance value. The cold blade tip profile data includes the suction side cold blade tip profile and the pressure side cold blade tip profile of the target blade. The target blade includes at least the main blade.

[0013] The construction module is used to construct the curve coordinate mapping relationship between the cold and hot blade tip profiles based on the blade tip deformation data and the cold blade tip profile data, and to construct the mapping relationship between the curve coordinates of the cold blade tip profile and the meridional coordinates based on the cold blade tip profile data and the meridional cover line data.

[0014] The first calculation module is used to calculate the cold-state blade tip clearance distribution and the hot-state blade tip clearance distribution of the pressure side and suction side blade tip lines of the target blade as the meridian coordinates change, based on the curve coordinate mapping relationship of the cold-state and hot-state blade tip profile and the mapping relationship between the curve coordinates of the cold-state blade tip profile and the meridian coordinates.

[0015] The second calculation module is used to calculate the cold clearance distribution of the target blade based on the cold blade tip clearance distribution, the hot blade tip clearance distribution, and the set parameters.

[0016] According to a third aspect of this application, a storage medium is provided that stores a computer program thereon, which, when executed by a processor, implements the above-described verification design method for the tip clearance of semi-open radial and mixed flow impellers.

[0017] According to a fourth aspect of this application, an electronic device is provided, including a storage medium, a processor, and a computer program stored on the storage medium and executable on the processor, wherein the processor executes the program to implement the above-described verification design method for the tip clearance of semi-open runaway and mixed flow impellers.

[0018] By utilizing the above technical solutions, this application provides a method and apparatus for verifying the tip clearance of semi-open radial and mixed-flow impellers. By acquiring comprehensive basic data and setting parameters including pressure / suction side data of the main blade and optional split blades, it constructs a cold-to-hot blade tip profile curve coordinate mapping relationship and a cold-to-hot blade tip profile curve coordinate mapping relationship with meridional coordinates. This allows for accurate calculation of the cold and hot blade tip clearance distribution of the target blade along the entire meridional coordinate range, thereby optimizing the cold clearance distribution of the target blade. This effectively solves the shortcomings of traditional methods that only verify the leading and trailing edges of the main blade and ignore the clearance control of the blade center and split blades. It enables fine-grained verification of the tip clearance of the main / split blades along the meridional coordinate range. This ensures sufficient safety margin for the hot clearance during impeller operation to avoid hard friction and collision risks, while minimizing the hot clearance to improve aerodynamic performance. It is also suitable for semi-open radial and mixed-flow impeller scenarios without split blades. Furthermore, it simplifies the processing flow by merging the cold clearance distribution, taking into account safety, high performance, and practicality.

[0019] The above description is only an overview of the technical solution of this application. In order to better understand the technical means of this application and to implement it in accordance with the contents of the specification, and to make the above and other objects, features and advantages of this application more obvious and understandable, the following are specific embodiments of this application. Attached Figure Description

[0020] The accompanying drawings, which are included to provide a further understanding of this application and form part of this application, illustrate exemplary embodiments of this application and are used to explain this application, but do not constitute an undue limitation of this application. In the drawings:

[0021] Figure 1 This paper presents a flowchart illustrating the principle of a verification design for the tip clearance of a semi-open radial flow and mixed flow impeller according to an embodiment of this application.

[0022] Figure 2 This illustration shows a schematic diagram of the positional relationship between the cold-state blade tip profile, blade tip node, blade tip clearance, and inner wall surface of a semi-open impeller according to an embodiment of this application.

[0023] Figure 3 A flowchart illustrating a design method for verifying the tip clearance of a semi-open radial flow and mixed flow impeller provided in an embodiment of this application is shown.

[0024] Figure 4 A flowchart illustrating another method for verifying the tip clearance of semi-open radial and mixed flow impellers provided in an embodiment of this application is shown.

[0025] Figure 5 This illustration shows a schematic diagram of a meridional blade tip clearance definition provided in an embodiment of this application;

[0026] Figure 6 The illustration shows an example of the verification effect of using separate hot clearance verification of main / splitter blades according to an embodiment of this application, and a comparison with the effect of traditional methods;

[0027] Figure 7 The illustration shows an example of the verification effect of using the combined hot gap of the main / splitter blades according to an embodiment of this application, and a comparison with the effect of traditional methods;

[0028] Figure 8 This illustration shows a structural schematic diagram of a design device for verifying the tip clearance of a semi-open radial and mixed-flow impeller provided in an embodiment of this application.

[0029] Figure 9 This paper shows a schematic diagram of another semi-open radial and mixed flow impeller tip clearance verification design device provided in an embodiment of this application;

[0030] In the picture:

[0031] 1-Blade tip clearance, 2-Blade tip, 3-Blade root, 4-Blade tip node, 5-Main blade, 6-Split blade, 7-Meridian cover line, 8-Inner wall of the cover, 9-Suction side profile, 10-Pressure side profile, 11-Leading edge, 12-Tail edge, 13-Meridian projection of blade tip line. Detailed Implementation

[0032] The present application will be described in detail below with reference to the accompanying drawings and embodiments. It should be noted that, unless otherwise specified, the embodiments and features described in the embodiments of the present application can be combined with each other.

[0033] To address the aforementioned problems, embodiments of the present invention provide a method for verifying and designing the tip clearance of semi-open radial and mixed-flow impellers, such as... Figure 1As shown, this method reads blade tip deformation data, cold blade tip profile (blade tip profile when undeformed), and meridional shroud profile data, or any initial data that can be converted into these three types of data. Based on the artificially set desired hot clearance distribution (minimum distance between blade tip and shroud when the impeller is in operation) and minimum cold clearance (minimum distance between blade tip and shroud when the impeller is undeformed), through steps S1 to S9 in the figure, the optimal cold clearance distribution of the main blade and the split blade (optional) and the optimal cold clearance distribution shared by the combined main blade and the split blade are obtained respectively.

[0034] The main technical solution of this invention is as follows: Read the blade tip deformation data and the cold blade tip profile; perform node mapping on the blade tip node coordinates in the blade tip deformation data; and sort the nodes according to the size of their curve coordinates on the pressure and suction sides of the main blade and optional split blades, respectively, to obtain the pressure and suction side blade tip node coordinates and displacements on the main blade and optional split blades arranged in sequence; calculate the hot blade tip node coordinates based on the ordered blade tip node coordinates and node displacements, and further reconstruct the hot blade tip profiles on the pressure and suction sides of the main blade and optional split blades; calculate the meridional projection curves of the hot blade tip profiles of the main blade and optional split blades based on the hot blade tip profiles; establish the curve coordinate mapping relationship between the cold and hot blade tip profiles based on the positions of the nodes before and after deformation and their curve coordinates on the corresponding curves; and establish... The mapping relationship between the curve coordinates of the cold-state blade tip profile and the meridional coordinates is established. Based on the mapping relationship between the curve coordinates of the cold-state and hot-state blade tip profiles and the mapping relationship between the curve coordinates of the cold-state blade tip profile and the meridional coordinates, the cold-state blade tip clearance distribution and hot-state blade tip clearance distribution of the pressure side and suction side blade tip lines of the main blade and the split blade (optional) as a function of the meridional coordinates are solved. Based on the cold-state clearance distribution and hot-state clearance distribution of the pressure side and suction side blade tip lines of the main blade, the actual average cold-state clearance distribution and the actual minimum hot-state clearance distribution of the main blade are solved. The same applies to the split blade (optional). Based on the actual average cold-state clearance distribution and the actual minimum hot-state clearance distribution of the main blade, as well as the set values ​​of the desired hot-state clearance distribution and the minimum cold-state clearance, the optimal cold-state clearance design scheme of the main blade is verified and calculated. The same applies to the split blade (optional). Finally, based on the optimal cold-state clearance distribution of the main blade and the split blade, the optimal cold-state clearance distribution shared by the merged main blade and the split blade is calculated (optional).

[0035] To fully describe all the steps of this invention, the following example uses a semi-open impeller with splitter blades to illustrate the specific implementation steps. Figure 2As shown, the semi-open impeller comprises two main blade structures: the main blade 5 and the branch blade 6. Both are equipped with suction side profile 9 and pressure side profile 10. The blades extend from the blade root 3 to the blade tip 2, where discrete blade tip nodes 4 are distributed. These nodes form the basis for subsequent deformation calculation and coordinate mapping. A blade tip gap 1 is formed between the inner wall surface 8 of the wheel cover and the blade tip 2. This gap is the initial distance between the blade tip and the wheel cover in the cold state. The meridional wheel cover line 7, as the projection curve of the generatrix of the inner wall of the wheel cover onto the meridional plane, runs through the impeller structure and together with the blade tip profile and blade tip nodes, constitutes the geometric reference for calculating the blade tip gap in the cold state.

[0036] Based on this, in order to solve the above problems, embodiments of the present invention provide a method for verifying and designing the tip clearance of semi-open radial and mixed flow impellers, such as... Figure 3 As shown, the method includes:

[0037] Step 310: Obtain the basic data and setting parameters of the impeller tip. The basic data includes tip deformation data, cold tip profile data and meridional cover line data. The setting parameters include the desired hot clearance distribution and the minimum cold clearance value. The cold tip profile data includes the suction side cold tip profile and the pressure side cold tip profile of the target blade. The target blade includes at least the main blade.

[0038] Among them, the blade tip deformation data refers to the relevant data of the thermal deformation of the blade tip under the action of centrifugal force, thermal stress, etc. during impeller operation, including the Cartesian coordinates of all blade tip nodes on the pressure and suction sides of the main blade and optional splitter blades, as well as the corresponding thermal displacement vectors of each node; the cold blade tip profile data refers to the profile curve data of the target blade tip in the static, undeformed state of the impeller, including the cold blade tip profile on the pressure and suction sides and its corresponding curve parameter coordinates; the meridional cover line data refers to the circumferential projection curve data of any generatrix of the inner wall of the cover onto the meridional plane of the impeller, including the curve parameter coordinates of the curve, where the impeller meridional plane is a plane with constant coordinates in a cylindrical coordinate system with the rotation axis as the z-axis; the desired hot gap distribution refers to the distribution function of the minimum distance between the blade tip and the cover along the meridional percentage coordinates of the blade during impeller operation, where the meridional percentage coordinates are the length from the starting point of the meridional cover curve to the corresponding point as a percentage of the curve. The overall length ratio covers the blade from the leading edge to the trailing edge; the minimum cold clearance value refers to the minimum allowable distance between the blade tip and the impeller cover when the impeller is stationary, after considering factors such as machining errors, assembly errors, and bearing float; the target blade refers to the blade that needs to be designed for tip clearance verification, which includes at least the main blade, the core working component of the impeller, and may also selectively include split blades depending on the impeller structure; the suction side cold blade tip profile refers to the tip profile curve of the target blade on the suction side (low-pressure side during gas flow) in a cold state; the pressure side cold blade tip profile refers to the tip profile curve of the target blade on the pressure side (high-pressure side during gas flow) in a cold state; the main blade refers to the core blade in the radial / diagonal flow impeller that undertakes the main working task and converts the input shaft power into gas kinetic energy and pressure energy; the split blade is an auxiliary blade set between the main blades of the impeller to split the fluid, optimize the flow field distribution, and thus improve the aerodynamic performance, operating stability and working efficiency of the impeller.

[0039] For the embodiments of this disclosure, obtaining the basic data and setting parameters of the impeller tip requires collecting basic data covering the coordinates and displacement vectors of all nodes related to tip deformation, the cold tip profile curves and parameter coordinates of the pressure side and suction side of the target blade (at least including the main blade), and the projection curves and parameter coordinates of the generatrix of the inner wall of the wheel cover on the meridional plane. At the same time, it is necessary to clarify the target hot clearance law distributed along the meridional percentage coordinates of the blade and the minimum cold allowable clearance considering various error factors. By integrating the above comprehensive and accurate input information, a complete and reliable prerequisite support can be provided for the subsequent construction of the cold-hot tip profile mapping relationship, clearance distribution calculation and cold clearance optimization.

[0040] Step 320: Construct the curve coordinate mapping relationship between the cold and hot blade tip profiles based on the blade tip deformation data and the cold blade tip profile data, and construct the mapping relationship between the curve coordinates of the cold blade tip profile and the meridional coordinates based on the cold blade tip profile data and the meridional cover line data.

[0041] Among them, the cold-to-hot blade tip profile curve coordinate mapping relationship refers to a continuous function relationship established by interpolation for each blade tip profile, with the curve coordinates of the blade tip node on the cold blade tip profile as the independent variable and the curve coordinates of the corresponding blade tip node on the hot blade tip profile as the dependent variable, to achieve accurate conversion between cold and hot curve coordinates; the cold blade tip profile curve coordinate mapping relationship refers to a continuous function relationship established by interpolation for each cold blade tip profile, with the meridional percentage coordinate (the proportion of the length from the starting point of the meridional wheel cover line to the corresponding point to the total length of the curve) as the independent variable and the curve coordinates of the nodes on the cold blade tip profile as the dependent variable, to achieve a bidirectional correspondence between the meridional coordinates and the cold blade tip profile curve coordinates.

[0042] In this embodiment of the present disclosure, based on blade tip deformation data and cold blade tip profile data, the disordered blade tip nodes are first mapped and matched and sorted according to the impeller inlet and outlet directions. The hot blade tip profile is reconstructed by vector summation of node coordinates and corresponding hot displacement vectors. Then, the curve coordinates of the sequential nodes on the cold and hot blade tip profiles are extracted respectively, and the curve coordinate mapping relationship between the cold and hot blade tip profiles is established by interpolation. At the same time, based on the cold blade tip profile data and the meridional shroud line data, the sequentially arranged cold blade tip nodes are projected meridionally one by one. The nearest point on the meridional shroud line is found and the corresponding curve coordinate is calculated. The meridional percentage coordinate of each node is determined by the ratio of the shroud line interval length to the cumulative length. Then, the mapping relationship between the cold blade tip profile curve coordinates and the meridional coordinates is established by interpolation, forming a technical link that supports the two types of mapping relationships.

[0043] The construction of two types of mapping relationships enables the correlation calculation of cold and hot blade tip clearance, as well as the accurate solution of clearance along the meridional coordinate. This not only solves the problem that traditional methods cannot correlate cold and hot clearance, but also breaks the limitation of only being able to control the leading and trailing edge clearances of blades. It can support clearance verification of the entire meridional range on the pressure / suction side of the main / splitter blades, ensuring that the hot clearance has sufficient safety margin to avoid hard friction collisions, while also minimizing it to improve aerodynamic performance. This provides core technical support for the refined design of blade tip clearance.

[0044] Step 330: Based on the mapping relationship between the cold and hot blade tip profile curves and the mapping relationship between the cold blade tip profile curve coordinates and the meridional coordinates, calculate the cold and hot blade tip clearance distributions of the pressure and suction sides of the target blade as the meridional coordinates change.

[0045] Among them, the cold blade tip clearance distribution refers to the distribution pattern of the gap size between the blade tip line on the pressure side and the suction side along the entire range of the meridional coordinate and the meridional shroud line when the target blade is stationary and undeformed, and is presented in the form of a continuous curve; the hot blade tip clearance distribution refers to the distribution pattern of the gap size between the blade tip line on the pressure side and the suction side along the entire range of the meridional coordinate and the meridional shroud line after the target blade undergoes hot deformation during operation, and is also presented in the form of a continuous curve.

[0046] In this embodiment of the present disclosure, based on the mapping relationship between the cold-state blade tip profile curve coordinates and the meridional coordinates, the meridional percentage coordinate interval corresponding to the target blade is first uniformly discretized. For each discrete meridional coordinate point, the cold-state blade tip profile curve coordinates corresponding to the pressure side and suction side are obtained through the mapping relationship. Then, Cartesian coordinate points are determined on the cold-state blade tip profile and meridional projection is performed. The nearest point of the projection point on the meridional wheel cover line is found. The clearance direction is determined by combining the tangent vector of the wheel cover line and the normal vector of the meridional plane. The cold-state blade tip clearance value of each discrete point is calculated and integrated to form the cold-state blade tip clearance distribution. Then, through the mapping relationship between the cold-state and hot-state blade tip profile curve coordinates, the cold-state blade tip profile curve coordinates of each side are converted into the corresponding hot-state curve coordinates. The above operations of projection, nearest point search, clearance direction determination and size calculation are repeated to obtain the hot-state blade tip clearance value of each discrete point. After integration, the hot-state blade tip clearance distribution is formed, and finally, the complete clearance distribution curve of the target blade pressure side and suction side along the meridional coordinates is obtained.

[0047] This technical step, through the synergistic effect of two types of mapping relationships, enables precise calculation of the tip clearance of the target blade on both the pressure and suction sides along the entire meridional coordinate range. It breaks through the limitation of traditional methods that can only control the clearance between the leading and trailing edges of the blade. It can cover the clearance distribution in the critical area of ​​the blade center, and also take into account the clearance requirements of the main blade and optional splitter blades. This ensures that the calculation of the cold and hot clearance distribution is comprehensive and accurate, providing complete and reliable data support for the subsequent verification of the optimal cold clearance. It effectively guarantees the safety margin of the hot clearance during impeller operation, while creating conditions for maximizing aerodynamic performance.

[0048] Step 340: Calculate the cold-state blade tip clearance distribution based on the cold-state blade tip clearance distribution, the hot-state blade tip clearance distribution, and the set parameters.

[0049] The cold clearance distribution refers to the continuous distribution pattern of the cold tip clearance of the target blade used in actual processing along the meridional coordinate after verification and optimization. It may include the independent cold clearance distribution of the main blade and the shunt blade, as well as the cold clearance distribution shared by the two.

[0050] In this embodiment of the present disclosure, the actual average cold clearance distribution along the meridional coordinate can be calculated based on the cold tip clearance distribution on the pressure side and suction side of the target blade. At the same time, the actual minimum hot clearance distribution along the meridional coordinate is extracted from the hot tip clearance distribution. The meridional percentage coordinate interval is discretized into several discrete meridional coordinate points at uniform intervals. For each discrete meridional coordinate point, the corresponding actual average cold clearance value, actual minimum hot clearance value, and the corresponding values ​​of the expected hot clearance distribution and minimum cold clearance value in the set parameters are extracted. By comparing the magnitude relationship between the actual average cold clearance value and the actual minimum hot clearance value of the discrete meridional coordinate point, the target cold clearance value of the discrete meridional coordinate point is determined by using dual constraint value taking or target hot clearance back-calculation method. Then, the target cold clearance values ​​of all discrete meridional coordinate points are processed by interpolation method to construct the cold clearance distribution curve of the target blade continuously distributed along the meridional coordinate. If the target blade includes a splitter blade, the independent cold clearance distribution curve of the splitter blade is calculated synchronously according to the same logic.

[0051] This technical step integrates the full-range distribution data of cold and hot clearances and performs precise verification with design constraint parameters. It can optimize the cold clearance of the target blade at all positions along the meridional coordinate. It can cover the central region of the blade that is ignored by traditional methods, and also take into account the clearance requirements of the main blade and the splitter blade. It ensures that the cold clearance design meets the safety constraint of the minimum cold clearance and makes the hot clearance as close as possible to the desired distribution. While avoiding the risk of hard friction collision during impeller operation, it minimizes the hot clearance to improve aerodynamic performance, and provides a final reliable solution for the fine design of the blade tip clearance.

[0052] In summary, the design method for verifying the tip clearance of semi-open radial and mixed-flow impellers provided by this invention, by acquiring comprehensive basic data and setting parameters including pressure / suction side data of the main blade and optional split blades, constructs the cold-to-hot blade tip profile curve coordinate mapping relationship and the cold-to-hot blade tip profile curve coordinate and meridional coordinate mapping relationship, can accurately calculate the cold and hot blade tip clearance distribution of the target blade along the entire meridional coordinate range, and thus optimize the cold clearance distribution of the target blade. This effectively solves the defects of traditional methods that only verify the leading and trailing edges of the main blade and ignore the clearance control of the blade middle and split blades. It can achieve full-position fine verification of the tip clearance of the main / split blades along the meridional coordinate, which can ensure sufficient safety margin of the hot clearance during impeller operation to avoid hard friction and collision risks, and can minimize the hot clearance to improve aerodynamic performance. At the same time, it is suitable for semi-open radial and mixed-flow impeller scenarios without split blades, and can also simplify the processing flow by merging the cold clearance distribution, taking into account safety, high performance and practicality.

[0053] Furthermore, as a refinement and extension of the specific implementation of the above embodiments, and to fully illustrate the implementation of this embodiment, this embodiment also provides another method for verifying the tip clearance of semi-open radial and mixed flow impellers, such as... Figure 4 As shown, the method includes:

[0054] Step 410: Obtain the basic data and setting parameters of the impeller tip. The basic data includes tip deformation data, cold tip profile data and meridional cover line data. The setting parameters include the desired hot clearance distribution and the minimum cold clearance value. The cold tip profile data includes the suction side cold tip profile and the pressure side cold tip profile of the target blade. The target blade includes at least the main blade.

[0055] For the specific implementation process of the embodiments disclosed herein, please refer to the relevant description in step 310 of the embodiment, which will not be repeated here.

[0056] Step 420: Construct the curve coordinate mapping relationship between the cold and hot blade tip profiles based on the blade tip deformation data and the cold blade tip profile data.

[0057] For embodiments of this disclosure, step 420 may include the following steps:

[0058] Step 420-1: Based on the blade tip deformation data and cold blade tip profile data, perform node mapping and sorting processing on the blade tip nodes to obtain the coordinates and displacement of the pressure side and suction side blade tip nodes arranged in sequence on the target blade.

[0059] Among them, the blade tip node refers to a discrete point on the blade tip profile, which is the basic unit carrying data such as blade tip coordinates and displacement, covering all discrete blade tip positions on the pressure / suction side of the target blade; node mapping refers to the process of matching and associating disordered blade tip nodes with their corresponding cold blade tip profiles, and determining the profile to which the node belongs (pressure side or suction side) by calculating the nearest distance between the node and the cold blade profile; sorting refers to the operation of arranging blade tip nodes belonging to the same cold blade tip profile in an orderly manner according to the direction from the impeller inlet to the outlet (based on the size of the curve coordinates of the node on the profile); the pressure side refers to the side of the target blade that bears high pressure during gas flow, and its blade tip profile is one of the key objects of node mapping and sorting; the suction side refers to the side of the target blade that bears low pressure during gas flow, and together with the pressure side, it constitutes the complete object of node mapping and sorting; the sequentially arranged blade tip node coordinates and displacements refer to the Cartesian coordinates corresponding to the blade tip nodes after mapping and sorting in the direction from the inlet to the outlet, and the hot displacement vector corresponding to each node, and the two correspond one-to-one.

[0060] In this embodiment of the present disclosure, blade tip deformation data and cold blade tip profile data can be read. For each cold blade tip profile (including the pressure side and suction side of the target blade), all disordered blade tip nodes in the blade tip deformation data are traversed. The nearest distance between each blade tip node and the cold blade profile and the curve coordinates of the node on the profile are calculated. A preset distance threshold is used to determine whether the blade tip node belongs to the profile. The successfully assigned blade tip nodes are associated with their corresponding hot displacement and curve coordinates one by one. Then, according to the impeller inlet to outlet direction corresponding to the size of the curve coordinates, the blade tip nodes and their corresponding displacements on the same profile are arranged in an orderly manner. Finally, the sets of blade tip node coordinates and displacements arranged in order on the pressure side and suction side of the target blade are obtained.

[0061] This technical step, through node mapping, enables the precise assignment of disordered blade tip nodes to their corresponding cold-state profiles, avoiding subsequent calculation deviations caused by mismatched nodes and profiles. At the same time, by sorting from the inlet to the outlet direction, it can provide an orderly data foundation for subsequent calculation of hot-state blade tip node coordinates and reconstruction of hot-state profiles, ensuring the consistency and accuracy of subsequent operations such as vector summation and interpolation modeling, and guaranteeing the data reliability of fine-grained blade tip clearance verification from the source.

[0062] Step 420-2: Based on the coordinates and displacement of the tip nodes on the pressure and suction sides of the target blades arranged in sequence, reconstruct the hot tip profiles of the corresponding pressure and suction sides of the target blades.

[0063] In this embodiment of the present disclosure, the coordinate sets of the blade tip nodes and the set of thermal displacements corresponding to the pressure side and suction side of the target blade can be clearly defined first, ensuring that the two sets of data correspond one-to-one according to the same sorting rule (impeller inlet to outlet direction). Then, the coordinates of each blade tip node in each set and the corresponding thermal displacement vector are vector summed to obtain the coordinate sets of thermal blade tip nodes arranged in an orderly manner along the inlet to outlet direction of each side. Finally, the discrete set of thermal blade tip node coordinates is fitted by an interpolation method to construct a smooth and continuous thermal blade tip profile on the pressure side and suction side of the target blade.

[0064] Accordingly, the implementation steps may include: determining the set of blade tip node coordinates and the set of thermal displacements arranged in sequence on the pressure side and suction side of the target blade; based on the set of blade tip node coordinates and the set of thermal displacements, performing vector summation on the blade tip node coordinates arranged in sequence on each side and the corresponding thermal displacements to obtain the set of thermal blade tip node coordinates arranged in sequence along the impeller inlet to outlet direction on each side; and using an interpolation method to interpolate the set of thermal blade tip node coordinates arranged in sequence on each side to construct the thermal blade tip profiles on the pressure side and suction side of the target blade.

[0065] The blade tip node coordinate set refers to the Cartesian coordinate set of the pressure side or suction side blade tip nodes of the target blades (at least the main blades, and optionally the splitter blades) arranged in an orderly manner from the impeller inlet to the outlet direction after node mapping and sorting. It is the basic coordinate data for constructing the thermal profile. The thermal displacement set is a set of displacement vectors that correspond one-to-one with the ordered blade tip node coordinate set. It contains the thermal deformation displacement data of each blade tip node under the action of centrifugal force, thermal stress, etc., and is arranged according to the same sorting rule. The vector summation operation is to vector-superimpose the coordinates of each ordered blade tip node with the corresponding thermal displacement vector. Mathematical operations are used to accurately calculate the actual coordinate position of the blade tip node after thermal deformation. The set of thermal blade tip node coordinates is a set of thermal blade tip node coordinates arranged in an orderly manner along the impeller inlet to outlet direction, obtained by vector summation, reflecting the spatial position of the node after blade tip deformation. The interpolation method is a mathematical method (such as B-spline interpolation) used to fit the discrete thermal blade tip node coordinates into a continuous curve, ensuring the smoothness and continuity of the thermal blade tip profile. The thermal blade tip profile refers to the continuous contour curve formed by the blade tip on the pressure side or suction side of the target blade after thermal deformation, which is the core geometric reference for subsequent meridional projection and clearance calculation.

[0066] This technical step accurately reconstructs the thermal deformation position of the blade tip node by vector summing the ordered node coordinates and the corresponding thermal displacement. Combined with interpolation methods, it constructs a continuous thermal blade tip profile, which can ensure the topological consistency between the thermal and cold profiles, as well as the smoothness and accuracy of the profile. This provides a reliable geometric basis for subsequent meridional projection of the thermal profile, construction of cold-to-thermal coordinate mapping relationship, and clearance calculation. It directly supports the fine-grained verification of the blade tip clearance to ensure the accuracy of subsequent calculation results.

[0067] Step 420-3: Calculate the cold tip profile curve coordinates corresponding to the cold tip nodes on the pressure side and suction side of the target blade, and form a set of cold tip curve coordinates corresponding to each cold tip profile.

[0068] Among them, the cold-state curve coordinate set refers to the set of curve coordinates of all the cold-state blade tip nodes arranged in sequence on each cold-state blade tip profile, which corresponds one-to-one with the node sorting rules and provides data support for the subsequent mapping relationship construction.

[0069] In this embodiment of the present disclosure, based on the target blade pressure side and suction side cold blade tip nodes that have been mapped and sorted, for each cold blade tip profile (pressure side or suction side), each cold blade tip node arranged in the impeller inlet to outlet direction can be extracted sequentially. The curve coordinates of each cold blade tip node in the corresponding cold blade tip profile can be calculated by a preset curve parameterization method to ensure that the coordinate values ​​are accurately matched with the actual position of the node on the profile. Then, all curve coordinates are sorted and classified according to the node sorting order to form a cold curve coordinate set exclusive to each cold blade tip profile.

[0070] Step 420-4: Calculate the curve coordinates of the hot tip nodes on the pressure side and suction side of the target blade on the corresponding hot tip profile, forming a set of hot curve coordinates corresponding to each hot tip profile.

[0071] Among them, the hot-state curve coordinate set refers to the set of curve coordinates of all hot-state blade tip nodes arranged in sequence on each hot-state blade tip profile. It corresponds one-to-one with the node sorting rules and is the core data for constructing the cold-state-hot-state coordinate mapping relationship.

[0072] In this embodiment of the present disclosure, based on the reconstructed hot blade tip profiles on the pressure and suction sides of the target blade, hot blade tip nodes arranged in an orderly manner along the impeller inlet to outlet direction on each side can be extracted. For each hot blade tip profile, the curve coordinates of each sequential node on the corresponding hot blade profile are calculated one by one using a preset curve parameterization method to ensure that the coordinate values ​​are accurately matched with the actual position of the node on the hot blade profile. Then, all curve coordinates are sorted and classified according to the node sorting order to form a set of hot blade tip coordinates exclusive to each hot blade tip profile.

[0073] Step 420-5: Using each cold-state curve coordinate set as the independent variable and the corresponding hot-state blade tip profile hot-state curve coordinate set as the dependent variable, establish the independent cold-hot blade tip profile curve coordinate mapping relationship on the pressure side and suction side of the target blade through interpolation.

[0074] In this embodiment of the present disclosure, for the pressure side and suction side of the target blade, the cold-state curve coordinate set corresponding to each cold-state blade tip profile and the hot-state curve coordinate set corresponding to the hot-state blade tip profile can be extracted respectively, ensuring that the two sets of data correspond one-to-one according to the sorting rules from the impeller inlet to the outlet. Then, with the cold-state curve coordinate set as the independent variable and the corresponding hot-state curve coordinate set as the dependent variable, a preset interpolation method (such as B-spline interpolation) is used to perform fitting calculations on each set of corresponding data, constructing independent and continuous cold-state-hot-state blade tip profile curve coordinate mapping relationships for the pressure side and suction side respectively, realizing accurate conversion from cold-state blade tip profile curve coordinates to hot-state curve coordinates on each side.

[0075] This technical step establishes independent cold-to-hot curve coordinate mapping relationships for the pressure and suction sides of the target blade, ensuring a precise correlation between the cold and hot blade tip node positions. It avoids conversion deviations caused by cross-interference of coordinates from different side profiles, providing a reliable coordinate transformation basis for subsequent hot gap distribution calculations. This opens up the core link for converting cold data to hot data, directly guaranteeing the precision of fine-grained verification of blade tip gap along the entire meridional coordinate range.

[0076] Step 430: Construct the mapping relationship between the cold blade tip profile curve coordinates and the meridional coordinates based on the cold blade tip profile data and the meridional cover data.

[0077] For embodiments of this disclosure, step 430 may include the following steps:

[0078] Step 430-1: Calculate the meridional projection curve of the target blade's hot profile based on the hot blade tip profile.

[0079] Among them, the hot-state blade tip profile meridional projection curve refers to the continuous curve formed by interpolation and fitting after projecting the hot-state blade tip node on the hot-state blade tip profile onto the impeller meridional surface, which reflects the contour distribution of the hot-state blade tip profile in the meridional direction.

[0080] In the embodiments of this disclosure, for each hot blade tip profile that has been reconstructed on the pressure side and suction side of the target blade, it can first be uniformly discretized into several discrete points including the first and last nodes to form an ordered point set. Then, each discrete point is projected onto the impeller meridional plane according to a fixed rule to obtain the meridional projection points corresponding to each discrete point and form a projection point set. Finally, the projection point set is fitted using an interpolation method to construct a smooth and continuous hot blade profile meridional projection curve.

[0081] This technical step transforms the three-dimensional hot blade tip profile into a two-dimensional meridional projection curve, providing a unified coordinate reference for the subsequent meridional projection of the cold blade tip node. This ensures the accuracy of the blade tip node projection position. At the same time, establishing the correlation between the hot blade tip profile and meridional coordinates lays the geometric foundation for constructing the mapping relationship between the cold blade tip profile curve coordinates and meridional coordinates, as well as for the accurate calculation of the blade tip clearance. This directly guarantees the accuracy of the blade tip clearance verification along the entire meridional coordinate range, helping to achieve a balance between safety and aerodynamic performance.

[0082] Step 430-2: Extract the cold blade tip nodes arranged sequentially on the pressure side and suction side of the target blade from the cold blade tip profile data. Based on the meridional projection curve of the hot blade profile, determine the meridional projection point of each cold blade tip node one by one.

[0083] Among them, the meridional projection point refers to the corresponding point obtained after projecting the cold blade tip node onto the impeller meridional plane according to a fixed rule. It reflects the position of the node in the meridional direction and is consistent with the coordinate system of the hot profile meridional projection curve.

[0084] In this embodiment of the present disclosure, the cold blade tip nodes arranged in an orderly manner from the impeller inlet to the outlet direction on the pressure side and suction side of the target blade can be extracted from the cold blade tip profile data. Using the pre-calculated corresponding side hot profile meridional projection curve as a unified coordinate reference, the projection calculation is performed on each sequentially arranged cold blade tip node according to the set projection rules to determine the meridional projection point of each blade tip node on the impeller meridional surface, ensuring that the coordinate system of the projection point is accurately matched with that of the cold blade tip node and the hot profile meridional projection curve.

[0085] This technical step involves projecting sequentially the cold-state blade tip nodes onto the meridional projection curve of the hot-state blade profile one by one. This establishes a connection between the cold-state blade tip nodes and the meridional coordinate system, ensuring the accuracy and consistency of the meridional projection positions of the cold-state nodes. It provides reliable intermediate data for subsequent location of the nearest point on the meridional wheel cover and calculation of meridional percentage coordinates, building a coordinate bridge between the cold-state blade tip profile and the meridional wheel cover. This directly guarantees the accuracy of the mapping relationship between the cold-state blade tip profile curve coordinates and the meridional coordinates.

[0086] Step 430-3: Based on the meridional shroud line data, for each cold blade tip node's meridional projection point, find its nearest point on the meridional shroud line and the corresponding meridional shroud curve coordinates.

[0087] Among them, the meridian cover curve coordinates refer to the parametric coordinates of the nearest point on the meridian cover line. They are used to accurately locate the relative position of the nearest point on the meridian cover line and provide core data for subsequent meridian percentage coordinate calculations.

[0088] In the embodiments of this disclosure, the meridian cover line data can be used as the reference geometry. For each cold blade tip node that has been arranged in sequence on the pressure side and suction side of the target blade, the meridian projection point is found by traversing the discrete points on the meridian cover line one by one through the spatial distance calculation method or by using the curve distance solution algorithm. The shortest point with the shortest distance to the meridian projection point is found. At the same time, the curve coordinates of the shortest point on the meridian cover line are recorded to ensure that each meridian projection point can be accurately matched with the unique shortest point on the meridian cover line and the corresponding curve coordinates.

[0089] This technical step establishes a direct relationship between the cold-state blade tip profile and the meridional wheel cover line by matching the meridional projection point of each cold-state blade tip node with the nearest point and curve coordinates on the meridional wheel cover line. This provides accurate basic data for subsequent meridional wheel cover line interval definition and meridional percentage coordinate calculation, avoiding subsequent clearance calculation errors caused by deviations in the relationship between the node and the wheel cover line. It builds a key connection bridge between the cold-state blade tip clearance value and the meridional coordinate system, directly ensuring the accuracy of the blade tip clearance verification along the entire meridional coordinate range.

[0090] Step 430-4: Determine the meridian cover line interval corresponding to each cold blade tip profile based on the meridian cover curve coordinates, and calculate the complete curve length of the meridian cover line interval. The meridian cover line interval is formed by the closest points of the leading edge node and trailing edge node of the corresponding cold blade tip profile on the meridian cover line.

[0091] Among them, the meridian cover line interval refers to the meridian cover line segment defined by the nearest points of the meridian cover line corresponding to the leading edge node and the trailing edge node for a single cold blade tip profile. It is a dedicated interval for calculating the meridian percentage coordinates. The complete curve length refers to the actual curve length of the meridian cover line interval, which is the reference length data for subsequent calculation of the meridian percentage coordinates. The leading edge node refers to the starting node along the impeller inlet direction on the cold blade tip profile, which is the key node for defining the starting point of the meridian cover line interval. The trailing edge node refers to the ending node along the impeller outlet direction on the cold blade tip profile, which is the key node for defining the ending point of the meridian cover line interval.

[0092] In this embodiment of the present disclosure, for each cold-state blade tip profile on the pressure and suction sides of the target blade, the meridian cover curve coordinates of the nearest points of the meridian cover lines corresponding to the leading edge node and trailing edge node are first extracted. The meridian cover line intervals specific to the cold-state blade tip profile are determined using these two curve coordinates as boundaries. Then, the actual curve length of the interval is calculated using a curve length calculation algorithm to obtain the complete curve length of the meridian cover line interval corresponding to each cold-state blade tip profile, providing reference data for subsequent meridian percentage coordinate calculation.

[0093] This technical step defines a dedicated meridional cover line interval by using the curve coordinates of the nearest points corresponding to the leading and trailing edge nodes of the cold blade tip profile, and calculates the complete curve length of the interval. This provides a unified benchmark for the accurate calculation of the meridional percentage coordinates of each cold blade tip node, ensuring the accuracy of the correlation between the meridional coordinates and the curve coordinates of the cold blade tip profile, avoiding calculation deviations caused by cross-interference between different profile intervals, and building a key quantitative bridge between the cold clearance distribution and the meridional coordinate system. This directly ensures the accuracy of the fine-grained verification of the blade tip clearance along the entire meridional coordinate range.

[0094] Step 430-5: For each cold blade tip node, calculate the cumulative curve length from the starting point of the meridional cover line interval to its corresponding nearest point, and determine the meridional percentage coordinate corresponding to the cold blade tip node by the ratio of the cumulative curve length to the complete curve length.

[0095] Among them, the cumulative curve length refers to the actual length of the curve from the starting point of the meridian cover line interval to the nearest point corresponding to the cold blade tip node, which is the core data for quantifying the position of the node within the interval.

[0096] For each sequentially cold-state blade tip node on each cold-state blade tip profile on the pressure and suction sides of the target blade, the meridian cover line interval and the starting point of the interval corresponding to the profile can be determined first. Then, the cumulative curve length from the starting point of the interval to the nearest point of the meridian cover line corresponding to the node can be calculated by using a curve length calculation algorithm. The ratio of the cumulative curve length to the complete curve length of the meridian cover line interval is calculated, and the result is the meridian percentage coordinate corresponding to the cold-state blade tip node.

[0097] Step 430-6: Using the meridional percentage coordinates as the independent variable and the cold blade tip profile curve coordinates as the dependent variable, establish the mapping relationship between the cold blade tip profile curve coordinates and the meridional coordinates through interpolation.

[0098] In this embodiment of the present disclosure, for each cold-state blade tip profile on the pressure side and suction side of the target blade, the meridional percentage coordinates (independent variables) and the cold-state blade tip profile curve coordinates (dependent variables) corresponding to all sequentially ordered cold-state blade tip nodes on the profile can be extracted to ensure that the two sets of data correspond one-to-one according to the node sorting rules. By using a preset interpolation method to fit the discrete corresponding data, a mapping relationship between the cold-state blade tip profile curve coordinates and meridional coordinates for each cold-state blade tip profile is constructed, thereby achieving accurate bidirectional conversion between the two types of coordinates.

[0099] Step 440: Based on the mapping relationship between the cold and hot blade tip profile curves and the mapping relationship between the cold blade tip profile curve coordinates and the meridional coordinates, calculate the cold and hot blade tip clearance distributions of the pressure and suction sides of the target blade as the meridional coordinates change.

[0100] For embodiments of this disclosure, step 440 may include the following steps:

[0101] Step 440-1: Divide the meridional percentage coordinate interval corresponding to the target blade into several continuous discrete meridional coordinate points at even intervals, covering the entire range from the leading edge to the trailing edge of the blade.

[0102] Among them, the meridional percentage coordinate interval refers to the coordinate range defined by the meridional percentage coordinates corresponding to the leading edge node (starting point, usually 0) and the meridional percentage coordinates corresponding to the trailing edge node (ending point, usually 1) for each cold tip profile of the target blade. It is a quantitative interval characterizing the entire length of the blade in the meridional direction. Discrete meridional coordinate points refer to a series of isolated and continuous specific values ​​of meridional percentage coordinates obtained after uniform interval division. They are the specific coordinate references for subsequent clearance calculations. The blade leading edge refers to the starting end of the blade along the gas flow direction, corresponding to the starting point (value 0) of the meridional percentage coordinate interval. The blade trailing edge refers to the ending end of the blade along the gas flow direction, corresponding to the ending point (value 1) of the meridional percentage coordinate interval.

[0103] In this embodiment of the present disclosure, the meridional percentage coordinate interval (range 0~1) corresponding to each cold blade tip profile on the pressure side and suction side of the target blade can be clearly defined. A fixed uniform interval step size is set according to the accuracy requirements required for clearance calculation. The coordinate interval is uniformly divided from the starting point (blade leading edge) to the ending point (blade trailing edge) according to the step size, generating a series of continuously arranged discrete meridional coordinate points. This ensures that these discrete points completely cover the entire range from the leading edge to the trailing edge, without any coordinate omissions or breaks, providing a unified coordinate reference for subsequent clearance calculations at various positions.

[0104] This technical step divides the meridional percentage coordinate intervals at uniform intervals and generates discrete points across the entire range. This provides a standardized and uniformly distributed coordinate carrier for subsequent point-by-point calculations of cold and hot gaps, ensuring that the gap calculation covers every region along the meridional direction of the blade (including the central part, which is easily overlooked by traditional methods). This avoids calculation loopholes caused by missing coordinates and ensures that the calculation conditions at each location are consistent, laying a uniform and comprehensive data foundation for the accurate fitting of the gap distribution curve.

[0105] Step 440-2: For each discrete meridional coordinate point, obtain the corresponding cold-state blade tip profile curve coordinates on the pressure side and suction side of the target blade through the mapping relationship between the cold-state blade tip profile curve coordinates and the meridional coordinates.

[0106] In this embodiment of the present disclosure, based on the established mapping relationship between the cold-state blade tip profile curve coordinates and meridional coordinates on the pressure side and suction side of the target blade, each discrete meridional coordinate point covering the leading edge to trailing edge of the blade can be selected one by one. This coordinate point is used as an input parameter and substituted into the mapping relationship between the cold-state blade tip profile curve coordinates and meridional coordinates on the pressure side and suction side, respectively. Through function calculation, the cold-state blade tip profile curve coordinates corresponding to each discrete meridional coordinate point on the cold-state blade tip profile on the pressure side and suction side are accurately solved, ensuring that each discrete point corresponds one-to-one with the cold-state blade tip profile curve coordinates on both sides, providing accurate positional basis for subsequent cold-state clearance calculation.

[0107] Step 440-3: Based on the coordinates of the cold blade tip profile curve on each side, determine the first Cartesian coordinate point on the corresponding cold blade tip profile, and calculate the first meridian projection point of the first Cartesian coordinate point according to the impeller meridian surface corresponding to the hot profile meridian projection curve.

[0108] Among them, the first Cartesian coordinate point refers to the spatial coordinate point (i.e., a three-dimensional rectangular coordinate point) precisely located on the corresponding cold-state blade tip profile curve according to the coordinates of the cold-state blade tip profile curve on each side, and is the core unit carrying the cold-state blade tip position information; the impeller meridian plane corresponding to the hot-state profile meridian projection curve refers to the impeller meridian plane that is consistent with the unified reference plane on which the hot-state blade tip profile meridian projection curve is based. This meridian plane is a plane with constant coordinates in a cylindrical coordinate system with the impeller rotation axis as the z-axis (such as the yOz plane), providing a fixed reference for projection calculation; the first meridian projection point refers to the corresponding point obtained by projecting the first Cartesian coordinate point onto the above-mentioned impeller meridian plane according to the set projection rules, reflecting the position of the cold-state blade tip spatial point in the meridian direction, and is consistent with the coordinate system of the hot-state profile meridian projection curve.

[0109] In this embodiment of the present disclosure, for each cold-state blade tip profile on the pressure side and suction side of the target blade, based on the obtained cold-state blade tip profile curve coordinates of each side, the corresponding spatial coordinate point (i.e., the first Cartesian coordinate point) can be accurately located and extracted on the corresponding cold-state blade tip profile. Using the impeller meridional plane on which the hot-state profile meridional projection curve is based as a unified projection reference, the projection calculation is performed on each first Cartesian coordinate point according to the preset projection rules, and finally the first meridional projection point corresponding to each cold-state blade tip spatial point is obtained, ensuring that the projection point is accurately matched with the cold-state coordinate point and the meridional plane coordinate system.

[0110] Step 440-4: Find the first target point on the meridian cover line that is closest to the first meridian projection point, calculate the tangent vector of the first target point on the meridian cover line, and combine it with the normal vector of the impeller meridian surface to determine the directional relationship between the first vector pointing from the blade tip to the first target point and the normal vector.

[0111] Among them, the first target point refers to the point on the meridional shroud line with the shortest spatial distance to the first meridional projection point, and is the key intermediate point connecting the cold blade tip position and the meridional shroud line; the tangent vector refers to the tangent direction vector of the first target point on the meridional shroud line, used to assist in determining the directional reference of the blade tip clearance; the impeller meridional plane is a plane with constant coordinates in a cylindrical coordinate system with the impeller rotation axis as the z-axis (such as the yOz plane), which is the fixed reference plane for projection calculation and directional determination; the normal vector refers to the normal vector of the impeller meridional plane, obtained by the cross product of the tangent vector at the leading edge of the meridional shroud line and the vector pointing from the blade tip to the blade root, and is the core reference vector for determining the clearance direction; the first vector refers to the spatial vector pointing from the first Cartesian coordinate point corresponding to the cold blade tip to the first target point, used to compare with the normal vector to determine the clearance direction; the directional relationship refers to the positive and negative relationship obtained by the dot product operation of the first vector and the normal vector, used to determine whether the blade tip clearance is positive (no interference between the blade tip and the shroud) or negative (there is a risk of interference).

[0112] In this embodiment of the present disclosure, based on the geometric data of the meridional cover line, the first target point with the shortest distance to the first meridional projection point can be found first, and then the tangent vector of the first target point on the meridional cover line can be calculated. Combined with the impeller meridional surface normal vector obtained in advance by cross product of the tangent vector at the leading edge of the meridional cover line and the vector pointing from the blade tip to the blade root, a first vector pointing from the first Cartesian coordinate point of the cold blade tip to the first target point can be constructed. By performing the dot product operation between the first vector and the normal vector, the directional relationship between the two can be determined, thereby determining the positive or negative attribute of the blade tip clearance.

[0113] This technical step, by accurately locating the first target point, calculating the tangent and normal vectors, and determining their directional relationship, enables the scientific determination of the blade tip clearance direction. This provides a directional basis for the accurate calculation of the subsequent clearance size, avoids deviations in clearance values ​​caused by misjudgment of direction, and ensures the comprehensiveness of the cold-state blade tip clearance calculation (including size and direction). Consequently, it provides accurate basic data for subsequent hot-state clearance verification and optimal cold-state clearance design, directly guaranteeing the reliability and safety of the fine-grained verification of the blade tip clearance.

[0114] Step 440-5: If the first vector and the normal vector are in the same direction, the cold tip clearance is determined to be positive, and the magnitude of the first vector is used as the cold tip clearance value; if they are in opposite directions, the cold tip clearance is determined to be negative, and the negative value of the magnitude of the first vector is used as the cold tip clearance value.

[0115] In this embodiment of the present disclosure, the directional relationship between the first vector and the normal vector can be determined by the dot product operation. If the dot product result is positive, it is determined that the first vector and the normal vector are in the same direction. At this time, there is no interference at the cold blade tip, and the magnitude of the first vector is directly used as the cold blade tip clearance value. If the dot product result is negative, it is determined that the two are in opposite directions. At this time, there is a risk of interference at the cold blade tip, and the negative value of the magnitude of the first vector is used as the cold blade tip clearance value, thus completing the quantitative determination of the size of the cold blade tip clearance and the interference state.

[0116] like Figure 5 As shown, on the meridional plane of the impeller, the meridional projection 13 of the blade tip line is distributed radially along the impeller. The direction of the meridional cover line 7 from the leading edge 11 to the trailing edge 12 is defined as the positive direction of the curve. The tangent vector of the meridional cover line 7 at the leading edge of the blade tip 2 is calculated. Calculate the vector from the leading edge of the blade tip 2 to the direction of the blade root 3. Define the normal vector of the meridional plane. ,symbol" "" represents the vector cross product. Defined by the leaf vertex. Pointing to the first target point The first vector In the diagram, the symbol T represents the numerical value of the blade tip clearance. T > 0 indicates a safe clearance between the blade tip and the impeller cover, while T < 0 indicates a tendency for interference between the blade tip and the impeller cover. The symbol r represents the radial dimension of the impeller. (symbol" " represents vector dot product, Point the i-th leaf tip node to its nearest point on the meridian cover line. The vector is used to determine the direction of the tip clearance at point 4 of the blade tip node and calculate the clearance value. Then, the cold tip clearance is determined to be positive, and the cold tip clearance value is... (“ "" represents the magnitude of the vector; conversely, the cold tip clearance is negative, and the cold tip clearance value is .

[0117] This technical step, by combining direction determination with vector modulus quantization, can accurately obtain complete information (size + interference state) of the cold-state blade tip clearance, avoiding the loophole of only calculating the clearance size while ignoring the risk of interference. It ensures the reliability of the cold-state blade tip clearance data and provides accurate quantitative basis for subsequent hot-state clearance verification and optimal cold-state clearance design. It can not only ensure that no hard friction collision occurs during impeller operation, but also lay a data foundation for optimizing aerodynamic performance.

[0118] Step 440-6: Through the mapping relationship between the cold and hot blade tip profile curve coordinates, convert the cold blade tip profile curve coordinates on each side into the corresponding hot blade tip profile curve coordinates.

[0119] In this embodiment of the present disclosure, based on the established cold-to-hot blade tip profile curve coordinate mapping relationship between the pressure side and the suction side of the target blade, the obtained cold blade tip profile curve coordinates of each side can be used as input parameters and substituted into the corresponding cold-to-hot blade tip profile curve coordinate mapping relationship. Through continuous function calculation, the cold blade tip profile curve coordinates of each cold blade tip profile can be accurately converted into the corresponding hot blade tip profile curve coordinates, ensuring that the cold and hot blade tip profile coordinates of the pressure side and the suction side correspond one-to-one, providing accurate positional basis for subsequent hot blade tip clearance calculation.

[0120] Step 440-7: Based on the coordinates of the thermal curves on each side, determine the second Cartesian coordinate point on the corresponding thermal blade tip profile. Calculate the second meridian projection point of the second Cartesian coordinate point according to the impeller meridian surface corresponding to the meridional projection curve of the thermal profile.

[0121] The second Cartesian coordinate point refers to the spatial coordinate point (three-dimensional rectangular coordinate point) that is precisely located on the corresponding hot blade tip profile line according to the coordinates of each side hot curve, carrying the actual spatial position information of the hot blade tip; the second meridian projection point refers to the corresponding point obtained by projecting the second Cartesian coordinate point onto the above-mentioned impeller meridian plane according to the set projection rules, reflecting the position of the hot blade tip spatial point in the meridian direction, and is consistent with the coordinate system of the hot profile meridian projection curve.

[0122] In this embodiment of the present disclosure, for each hot blade tip profile on the pressure side and suction side of the target blade, the corresponding spatial coordinate point (i.e., the second Cartesian coordinate point) can be accurately located and extracted on the corresponding hot blade tip profile based on the converted hot curve coordinates of each side. Using the impeller meridional plane on which the meridional projection curve of the hot profile is based as a unified projection reference, the projection calculation is performed on each second Cartesian coordinate point according to the preset projection rules, and finally the second meridional projection point corresponding to each hot blade tip spatial point is obtained, ensuring that the projection point is accurately matched with the hot coordinate point and the meridional plane coordinate system.

[0123] Step 440-8: Find the second target point on the meridian cover line that is closest to the second meridian projection point, calculate the tangent vector of the second target point on the meridian cover line, and combine it with the normal vector of the impeller meridian surface to determine the directional relationship between the second vector pointing from the blade tip to the second target point and the normal vector.

[0124] The second target point is the point on the meridian cover line with the shortest spatial distance to the second meridian projection point, and is the key intermediate point connecting the hot blade tip position and the meridian cover line; the tangent vector is the tangent direction vector of the second target point on the meridian cover line, used to assist in determining the directional reference of the hot blade tip clearance; the second vector is the spatial vector pointing from the second Cartesian coordinate point corresponding to the hot blade tip to the second target point, used to compare with the normal vector to determine the direction of the hot clearance.

[0125] In this embodiment of the disclosure, based on the geometric data of the meridional cover line, the second target point with the shortest distance to the second meridional projection point can be found first. Then, the tangent vector of the second target point on the meridional cover line can be calculated. Combined with the impeller meridional surface normal vector obtained by cross product of the tangent vector at the leading edge of the meridional cover line and the vector pointing from the blade tip to the blade root, a second vector pointing from the second Cartesian coordinate point of the hot blade tip to the second target point can be constructed. By performing a dot product operation between the second vector and the normal vector, the directional relationship between the two can be determined, thereby determining the positive or negative attribute of the hot blade tip clearance.

[0126] Step 440-9: If the second vector and the normal vector are in the same direction, the hot tip clearance is determined to be positive, and the magnitude of the second vector is used as the hot tip clearance value; if they are in opposite directions, the hot tip clearance is determined to be negative, and the negative value of the magnitude of the second vector is used as the hot tip clearance value.

[0127] In this embodiment of the present disclosure, the directional relationship between the second vector and the normal vector can be determined by the dot product operation. If the dot product result is positive, it is determined that the second vector and the normal vector are in the same direction. At this time, there is no interference at the hot blade tip, and the magnitude of the second vector is directly used as the hot blade tip clearance value. If the dot product result is negative, it is determined that the two are in opposite directions. At this time, there is a risk of interference at the hot blade tip, and the negative value of the magnitude of the second vector is used as the hot blade tip clearance value, thus completing the quantitative determination of the size of the hot blade tip clearance and the interference state.

[0128] Step 440-10: Classify the cold and hot tip clearance values ​​corresponding to all discrete meridional coordinate points according to the pressure side and suction side of the target blade, respectively, and construct the cold tip clearance distribution curve and hot tip clearance distribution curve continuously distributed along the meridional coordinate for each side by interpolation method.

[0129] Among them, the cold tip clearance value refers to the quantified value of the cold tip clearance corresponding to each discrete meridional coordinate point, including magnitude and direction attributes (positive values ​​have no interference, negative values ​​have the risk of interference); the hot tip clearance value refers to the quantified value of the hot tip clearance corresponding to each discrete meridional coordinate point, also including magnitude and direction attributes, and is the core reference for verifying the cold tip clearance; the cold tip clearance distribution curve refers to the cold tip clearance curve continuously distributed along the meridional coordinate obtained by interpolation fitting, which intuitively reflects the variation law of the cold tip clearance along the leading edge to the trailing edge of the blade; the hot tip clearance distribution curve refers to the hot tip clearance curve continuously distributed along the meridional coordinate obtained by interpolation fitting, which accurately characterizes the full range distribution characteristics of the hot tip clearance.

[0130] In this embodiment of the present disclosure, the target blade can be classified into pressure side and suction side, and the cold-state blade tip clearance value and hot-state blade tip clearance value corresponding to all discrete meridional coordinate points can be collected respectively to ensure that the clearance value of each side corresponds one-to-one with the discrete meridional coordinate point, forming a pressure side cold / hot clearance dataset and a suction side cold / hot clearance dataset. Then, a preset interpolation method is used to perform fitting operations on the four datasets respectively to construct the cold-state blade tip clearance distribution curve and the hot-state blade tip clearance distribution curve that are continuously distributed along the meridional coordinate on the pressure side and suction side of the target blade.

[0131] This technical step transforms discrete gap data into an intuitive and comprehensive continuous curve by classifying and interpolating gap values. It fully covers the entire meridional range of the blade (including the leading edge, trailing edge, and middle section), avoiding the shortcomings of traditional methods that only focus on the inlet and outlet while ignoring the middle section. This provides accurate and comprehensive basic data for subsequent average cold-state gap calculation and optimal cold-state gap verification, directly ensuring the accuracy of fine-grained blade tip gap verification and helping to achieve a balance between safety and aerodynamic performance.

[0132] Step 450: Calculate the cold-state blade tip clearance distribution based on the cold-state blade tip clearance distribution, the hot-state blade tip clearance distribution, and the set parameters.

[0133] For embodiments of this disclosure, step 450 may include the following steps:

[0134] Step 450-1: Based on the cold tip clearance distribution of the target blade on the pressure side and suction side, calculate the actual average cold tip clearance distribution of the target blade along the meridional coordinate; based on the hot tip clearance distribution of the target blade on the pressure side and suction side, extract the actual minimum hot tip clearance distribution of the target blade along the meridional coordinate.

[0135] Among them, the actual average cold clearance distribution refers to the curve formed by interpolation and fitting the average value of the cold clearance on the pressure side and suction side of the target blade at each meridional coordinate point, which comprehensively represents the overall level of the cold clearance of the blade; the actual minimum hot clearance distribution refers to the curve formed by interpolation and fitting the minimum value of the hot clearance on the pressure side and suction side of the target blade at each meridional coordinate point, which focuses on the key position of the blade that is most prone to interference under hot conditions.

[0136] In this embodiment of the present disclosure, based on the cold-state blade tip clearance distribution curve and the hot-state blade tip clearance distribution curve that are continuously distributed along the meridional coordinates on the pressure side and suction side of the target blade, for each meridional coordinate point, the arithmetic mean of the cold-state clearance values ​​on the pressure side and suction side at that point is first calculated to obtain the actual average cold-state clearance data corresponding to each discrete meridional coordinate point; at the same time, the minimum value of the hot-state clearance values ​​on the pressure side and suction side at that point is extracted to obtain the actual minimum hot-state clearance data corresponding to each discrete meridional coordinate point. Then, the two sets of discrete data are fitted by interpolation methods respectively to finally form the actual average cold-state clearance distribution curve and the actual minimum hot-state clearance distribution curve that are continuously distributed along the meridional coordinates of the target blade.

[0137] This technical step calculates the average cold-state gap distribution, which comprehensively characterizes the overall level of the cold-state gap on both sides of the blade, providing comprehensive and balanced cold-state benchmark data for subsequent verification of the optimal cold-state gap; by extracting the minimum hot-state gap distribution, the most dangerous gap position (minimum gap) under the hot state of the blade can be accurately captured, avoiding the interference risk caused by ignoring the minimum gap on one side, and ensuring that the safety verification is thorough.

[0138] Step 450-2: Divide the meridional percentage coordinate interval corresponding to the target blade into several continuous discrete meridional coordinate points at uniform intervals, covering the entire range from the leading edge to the trailing edge of the blade.

[0139] In this embodiment of the present disclosure, the meridional percentage coordinate interval (range 0~1) corresponding to the target blade (main blade / splitter blade) can be determined first. Then, a fixed uniform interval step size is set according to the accuracy requirements of the blade tip clearance calculation. The coordinate interval is uniformly divided from the leading edge (coordinate 0) to the trailing edge (coordinate 1) of the blade according to the step size, generating a series of continuously arranged discrete meridional coordinate points. This ensures that these discrete points completely cover the entire range of the blade meridional direction without any omissions or coordinate breaks, providing a standardized coordinate carrier for the subsequent point-by-point accurate calculation of the cold and hot clearances.

[0140] This technical step divides the meridional percentage coordinate intervals at uniform intervals and generates discrete points across the entire range. This breaks through the limitations of traditional methods that only focus on the leading and trailing edges of the blade, achieving full coverage of the meridional direction of the blade (including the central region). It provides a uniform and unified coordinate reference for subsequent point-by-point calculations of cold and hot gaps, ensuring that the gap calculation accurately reflects the gap distribution characteristics at each position of the blade. This avoids the problem of uncontrolled gaps in the central region caused by missing coordinates, and lays a comprehensive and reliable data foundation for the refined verification of the blade tip gap.

[0141] Step 450-3: Extract the actual average cold gap value, the actual minimum hot gap value, and the set desired hot gap distribution and minimum cold gap value corresponding to each discrete metropolitan coordinate point.

[0142] Among them, the actual average cold clearance value is the arithmetic mean of the cold tip clearance values ​​of the target blade on the pressure side and the suction side for each discrete meridional coordinate point. It is a quantitative data that comprehensively characterizes the overall level of the cold clearance at that position. The actual minimum hot clearance value is the minimum value of the hot tip clearance values ​​of the target blade on the pressure side and the suction side for each discrete meridional coordinate point. It is a key quantitative data that reflects the risk of interference most likely to occur at that position under hot conditions.

[0143] For each discrete meridional coordinate point from the leading edge to the trailing edge of the target blade, the cold tip clearance values ​​of the pressure side and suction side of the main blade (and the splitter blade, optional) corresponding to that point can be retrieved first, and the arithmetic mean of the two can be calculated to obtain the actual average cold tip clearance value; at the same time, the hot tip clearance values ​​on both sides of that point can be retrieved, and the minimum value among them can be extracted as the actual minimum hot tip clearance value; then, according to the preset expected hot tip clearance distribution law, the expected hot tip clearance value corresponding to the discrete meridional coordinate point can be obtained; and the preset minimum cold tip clearance fixed value can be extracted simultaneously, and finally the extraction and association of the four core data corresponding to each discrete meridional coordinate point can be completed.

[0144] Step 450-4: If the actual average cold clearance value is greater than the actual minimum hot clearance value, then the larger of the two values, whichever is greater, is taken as the target cold clearance value of the discrete meridional coordinate point, under the dual constraints of the expected hot clearance distribution and the minimum cold clearance value. If the actual average cold clearance value is less than the actual minimum hot clearance value, then the target hot clearance value is first determined based on the expected hot clearance distribution, and then the target cold clearance value of the discrete meridional coordinate point is obtained by combining the curve coordinate mapping relationship of the cold-hot blade tip profile.

[0145] Among them, the target cold clearance value is the optimal cold clearance value corresponding to the discrete meridional coordinate point used for actual processing, which is determined after verification calculation; the target hot clearance value is the ideal hot clearance value that the discrete meridional coordinate point should achieve, which is determined based on the expected hot clearance distribution.

[0146] For each discrete meridional coordinate point from the leading edge to the trailing edge of the blade, the actual average cold clearance value and the actual minimum hot clearance value are compared. If the actual average cold clearance value is greater than the actual minimum hot clearance value, the value of the point corresponding to the desired hot clearance distribution and the minimum cold clearance value are used as dual constraints, and the larger of the two is taken as the target cold clearance value of the discrete meridional coordinate point. If the actual average cold clearance value is less than the actual minimum hot clearance value, the target hot clearance value of the point is first determined according to the desired hot clearance distribution, and then the target cold clearance value corresponding to the discrete meridional coordinate point is obtained by reverse deduction through the curve coordinate mapping relationship of the cold-hot blade tip profile.

[0147] This technical step calculates the target cold-state gap value by verifying it under different conditions. It can ensure that the cold-state gap does not exceed the safety limit and the hot-state gap meets the performance target with dual constraints. It can also achieve precise matching between the cold-state and hot-state gaps by back-calculating through the mapping relationship. This avoids the problems of excessive safety (performance degradation due to excessive gap) or excessive performance (risk due to insufficient gap) caused by a single constraint. It can provide accurate discrete data support for the subsequent construction of a continuous optimal cold-state gap distribution curve, taking into account both the safety of impeller operation and the optimal aerodynamic performance.

[0148] Step 450-5: Use interpolation to process the target cold gap values ​​at all discrete meridional coordinate points to construct a cold gap distribution curve of the target blade continuously distributed along the meridional coordinate.

[0149] In specific application scenarios, the target blade may consist only of the main blade, and may also include shunting blades. As one possible implementation, when the target blade consists only of the main blade, this step can construct the first cold-state gap distribution curve of the main blade, and directly use the first cold-state gap distribution curve as the final cold-state gap distribution curve.

[0150] As another possible implementation, when the target blade includes both a main blade and a splitter blade, this step can construct the first cold-state gap distribution curve of the main blade and the second cold-state gap distribution curve of the splitter blade. Furthermore, the first cold-state gap distribution curve and the second cold-state gap distribution curve can be merged to obtain the shared cold-state gap distribution of the main blade and the splitter blade, which is the final cold-state gap distribution curve.

[0151] Accordingly, the implementation steps may include: obtaining the first cold-state gap distribution curve of the main blade and the second cold-state gap distribution curve of the splitter blade; merging the first and second cold-state gap distribution curves to obtain the shared cold-state gap distribution of the main blade and the splitter blade; wherein, merging the first and second cold-state gap distribution curves to obtain the shared cold-state gap distribution of the main blade and the splitter blade includes: treating the cold-state leading edge node of the splitter blade as the suction side node of the main blade, and calculating the main blade meridional percentage coordinates corresponding to the suction side node of the main blade based on the mapping relationship between the cold-state blade tip profile curve coordinates and the meridional coordinates; and using the main blade meridional percentage... Using the coordinate system as a benchmark, the meridional coordinate interval is divided into a transition interval and a main interval. For the transition interval, the gap value corresponding to the first cold-state gap distribution curve of the main blade is directly used as the common cold-state gap distribution value. For the main interval, the common cold-state gap distribution value that meets the dual requirements of the main blade and the splitter blade is calculated by combining the first cold-state gap distribution curve of the main blade and the second cold-state gap distribution curve of the splitter blade, while using the set desired hot-state gap distribution and minimum cold-state gap value as constraints. The common cold-state gap distribution values ​​of the transition interval and the main interval are smoothly connected to construct a common cold-state gap distribution curve that is continuously distributed along the meridional coordinate of the main blade.

[0152] The shared cold clearance distribution is formed by merging the first cold clearance distribution curve of the main blade and the second cold clearance distribution curve of the splitter blade, resulting in a unified cold clearance distribution that simultaneously meets the safety and aerodynamic performance requirements of both the main and splitter blades, thus simplifying the manufacturing process. The transition interval is a meridional coordinate interval (usually accounting for 0.5% to 2% of the main blade meridional coordinate interval) defined based on the meridional percentage coordinate of the main blade corresponding to the cold leading edge node of the splitter blade, used to smoothly connect the clearance distributions of the main and splitter blades. The main body interval is the core part of the main blade meridional coordinate interval excluding the transition interval, and the shared clearance value needs to be calculated by comprehensively considering the clearance requirements and constraints of the main and splitter blades.

[0153] Figure 6 The paper presents a comparison of the hot tip clearance distribution of the main blade and the splitter blade before and after verification using the present invention, and also presents a comparison of the verification effect using the traditional method. Figure 7This paper presents a comparison of the hot tip clearance distribution of the main and splitter blades before and after verification when using combined main / split blade tip clearance, and a comparison of the verification effect with traditional methods. It can be seen that, in this example, the refined tip clearance verification method of this invention, compared with traditional methods, can effectively control the tip clearance distribution in the middle section, reducing the tip clearance in the middle section by up to 75%, demonstrating significant effectiveness.

[0154] In summary, the technical solution in this application, by comprehensively considering the three-dimensional thermal deformation of all grid nodes on the pressure / suction sides of the main blade and the splitter blade tips, can back-calculate the optimal independent cold-state tip clearance distribution of the main blade and the splitter blade, as well as a combined cold-state tip clearance distribution that comprehensively considers both main and splitter blades, based on a given desired thermal clearance distribution law. This achieves refined verification design of the tip clearance distribution of the main / splitter blades along the meridional coordinate, ensuring safety while achieving optimal aerodynamic performance.

[0155] Furthermore, as Figure 3 and Figure 4 The specific implementation of the method shown in this embodiment provides a verification and design device for the tip clearance of semi-open radial flow and mixed flow impellers, such as... Figure 8 As shown, the device includes: an acquisition module 81, a construction module 82, a first calculation module 83, and a second calculation module 84.

[0156] The acquisition module 81 can be used to acquire basic data and setting parameters of the impeller tip. The basic data includes tip deformation data, cold tip profile data and radial cover line data. The setting parameters include the desired hot clearance distribution and the minimum cold clearance value. The cold tip profile data includes the suction side cold tip profile and the pressure side cold tip profile of the target blade. The target blade includes at least the main blade.

[0157] Module 82 can be used to construct the curve coordinate mapping relationship of the cold-hot blade tip profile based on blade tip deformation data and cold blade tip profile data, and to construct the mapping relationship between the curve coordinates of the cold blade tip profile and the meridional coordinates based on the cold blade tip profile data and the meridional cover line data;

[0158] The first calculation module 83 can be used to calculate the cold-state blade tip clearance distribution and hot-state blade tip clearance distribution of the pressure side and suction side blade tip lines of the target blade as the meridian coordinates change, based on the curve coordinate mapping relationship of the cold-state blade tip profile and the mapping relationship between the curve coordinates of the cold-state blade tip profile and the meridian coordinates.

[0159] The second calculation module 84 can be used to calculate the cold clearance distribution of the target blade based on the cold blade tip clearance distribution, the hot blade tip clearance distribution, and set parameters.

[0160] In some embodiments of this application, the construction module 82 can be specifically used to perform node mapping and sorting processing on the blade tip nodes based on the blade tip deformation data and the cold blade tip profile data, to obtain the coordinates and displacements of the pressure side and suction side blade tip nodes of the target blade arranged in sequence; to reconstruct the hot blade tip profiles of the corresponding pressure side and suction side of the target blade based on the coordinates and displacements of the pressure side and suction side blade tip nodes of the target blade arranged in sequence; and to calculate the cold blade tip profiles corresponding to the cold blade tip nodes on the pressure side and suction side of the target blade. The cold-state curve coordinates of each cold-state blade tip profile are calculated to form a set of cold-state curve coordinates corresponding to each cold-state blade tip profile. The curve coordinates of the hot-state blade tip nodes on the pressure side and suction side of the target blade on the corresponding hot-state blade tip profile are calculated to form a set of hot-state curve coordinates corresponding to each hot-state blade tip profile. Using the set of cold-state curve coordinates of each cold-state blade tip profile as the independent variable and the set of hot-state curve coordinates of the corresponding hot-state blade tip profile as the dependent variable, the independent cold-state and hot-state blade tip profile curve coordinate mapping relationship on the pressure side and suction side of the target blade is established by interpolation.

[0161] In some embodiments of this application, when reconstructing the hot tip profiles of the target blade corresponding to the pressure and suction sides based on the coordinates and displacements of the tip nodes on the pressure and suction sides of the target blade arranged in sequence, the construction module 82 can be specifically used to determine the set of coordinates of the tip nodes and the set of hot displacements corresponding to the pressure and suction sides of the target blade, respectively; based on the set of coordinates of the tip nodes and the set of hot displacements, a vector summation operation is performed on the coordinates of the tip nodes arranged in sequence on each side and the corresponding hot displacements to obtain the set of coordinates of the hot tip nodes arranged in sequence along the impeller inlet to outlet direction on each side; an interpolation method is used to interpolate the set of coordinates of the hot tip nodes arranged in sequence on each side to construct the hot tip profiles of the target blade corresponding to the pressure and suction sides.

[0162] In some embodiments of this application, the construction module 82 can be further used to calculate the meridional projection curve of the target blade's hot-state tip profile based on the hot-state tip profile; extract the cold-state tip nodes arranged sequentially on the pressure and suction sides of the target blade from the cold-state tip profile data; determine the meridional projection point of each cold-state tip node based on the meridional projection curve of the hot-state tip profile; find the nearest point on the meridional cover line and the corresponding meridional cover curve coordinates for the meridional projection point of each cold-state tip node based on the meridional cover line data; and determine the corresponding meridional tip profile coordinates for each cold-state tip profile based on the meridional cover curve coordinates. For the meridional cover line interval, calculate the complete curve length of the meridional cover line interval. The meridional cover line interval is composed of the closest points of the leading edge node and trailing edge node of the corresponding cold-state blade tip profile on the meridional cover line. For each cold-state blade tip node, calculate the cumulative curve length from the starting point of the meridional cover line interval to its corresponding nearest point. Determine the meridional percentage coordinate corresponding to the cold-state blade tip node by the ratio of the cumulative curve length to the complete curve length. Using the meridional percentage coordinate as the independent variable and the cold-state blade tip profile curve coordinate as the dependent variable, establish the mapping relationship between the cold-state blade tip profile curve coordinate and the meridional coordinate through interpolation.

[0163] In some embodiments of this application, the first calculation module 83 is specifically used to divide the meridional percentage coordinate interval corresponding to the target blade into several continuous discrete meridional coordinate points at uniform intervals, covering the entire range from the leading edge to the trailing edge of the blade; for each discrete meridional coordinate point, the cold-state blade tip profile curve coordinates corresponding to the pressure side and suction side of the target blade are obtained through the mapping relationship between the cold-state blade tip profile curve coordinates and the meridional coordinates; based on the cold-state blade tip profile curve coordinates of each side, a first Cartesian coordinate point is determined on the corresponding cold-state blade tip profile, according to the hot profile... For the impeller meridional surface corresponding to the meridional projection curve, calculate the first meridional projection point of the first Cartesian coordinate point; find the first target point on the meridional shroud line that is closest to the first meridional projection point, calculate the tangent vector of the first target point on the meridional shroud line, and combine it with the normal vector of the impeller meridional surface to determine the directional relationship between the first vector pointing from the blade tip to the first target point and the normal vector; if the first vector and the normal vector are in the same direction, the cold-state blade tip clearance is determined to be positive, and the magnitude of the first vector is used as the cold-state blade tip clearance value; if they are in opposite directions, the cold-state blade tip clearance is determined to be negative, and the negative value of the magnitude of the first vector is used as the cold-state blade tip clearance value. The cold-state blade tip clearance value is determined by mapping the cold-state and hot-state blade tip profile curve coordinates to the corresponding hot-state curve coordinates. Based on the hot-state curve coordinates of each side, a second Cartesian coordinate point is determined on the corresponding hot-state blade tip profile. The second meridian projection point of the second Cartesian coordinate point is calculated according to the impeller meridian surface corresponding to the hot-state profile meridian projection curve. The second target point on the meridian shroud line that is closest to the second meridian projection point is found, and the tangent vector of the second target point on the meridian shroud line is calculated. Combined with the normal vector of the impeller meridian surface, the value is determined. The relationship between the direction of the second vector pointing from the blade tip to the second target point and the normal vector is determined. If the second vector and the normal vector are in the same direction, the hot blade tip clearance is determined to be positive, and the magnitude of the second vector is used as the hot blade tip clearance value. If they are in opposite directions, the hot blade tip clearance is determined to be negative, and the negative value of the magnitude of the second vector is used as the hot blade tip clearance value. The cold blade tip clearance values ​​and hot blade tip clearance values ​​corresponding to all discrete meridional coordinate points are classified according to the pressure side and suction side of the target blade, respectively. The cold blade tip clearance distribution curve and hot blade tip clearance distribution curve continuously distributed along the meridional coordinates on each side are constructed by interpolation method.

[0164] In some embodiments of this application, the second calculation module 84 can be specifically used to calculate the actual average cold clearance distribution of the target blade along the meridional coordinate based on the cold tip clearance distribution on the pressure side and suction side of the target blade; extract the actual minimum hot clearance distribution of the target blade along the meridional coordinate based on the hot tip clearance distribution on the pressure side and suction side of the target blade; divide the meridional percentage coordinate interval corresponding to the target blade into several continuous discrete meridional coordinate points at uniform intervals, covering the entire range from the leading edge to the trailing edge of the blade; and extract the actual average cold clearance value, the actual minimum hot clearance value, and the set desired hot clearance distribution corresponding to each discrete meridional coordinate point. The target cold-state clearance value is determined by the minimum cold-state clearance value. If the actual average cold-state clearance value is greater than the actual minimum hot-state clearance value, the target hot-state clearance value is determined by the dual constraints of the expected hot-state clearance distribution and the minimum cold-state clearance value, and the larger of the two values ​​is taken as the target cold-state clearance value at the discrete meridional coordinate point. If the actual average cold-state clearance value is less than the actual minimum hot-state clearance value, the target hot-state clearance value is first determined based on the expected hot-state clearance distribution, and then the target cold-state clearance value at the discrete meridional coordinate point is obtained by combining the curve coordinate mapping relationship of the cold-state and hot-state blade tip profile. The target cold-state clearance value at all discrete meridional coordinate points is processed by the interpolation method to construct the cold-state clearance distribution curve of the target blade continuously distributed along the meridional coordinate.

[0165] In some embodiments of this application, such as Figure 9 As shown, the device may further include: a merging module 85;

[0166] The acquisition module 81 can also be used to acquire the first cold-state gap distribution curve of the main blade and the second cold-state gap distribution curve of the splitter blade;

[0167] The merging module 85 is used to merge the first cold-state gap distribution curve and the second cold-state gap distribution curve to obtain the common cold-state gap distribution of the main blade and the splitter blade.

[0168] Correspondingly, the merging module 85 can specifically be used to treat the cold leading edge node of the splitter blade as the suction side node of the main blade, and calculate the main blade meridional percentage coordinates corresponding to the suction side node of the main blade based on the mapping relationship between the cold blade tip profile curve coordinates and the meridional coordinates; using the main blade meridional percentage coordinates as the benchmark, the meridional coordinate interval is divided into a transition interval and a main interval; for the transition interval, the gap value corresponding to the first cold gap distribution curve of the main blade is directly used as the common cold gap distribution value; for the main interval, the first cold gap distribution curve of the main blade and the second cold gap distribution curve of the splitter blade are combined, and the desired hot gap distribution and minimum cold gap value are used as constraints to calculate the common cold gap distribution value that meets the dual requirements of the main blade and the splitter blade; the common cold gap distribution values ​​of the transition interval and the main interval are smoothly connected to construct a common cold gap distribution curve that is continuously distributed along the meridional coordinates of the main blade.

[0169] It should be noted that other corresponding descriptions of the functional units involved in the semi-open radial and mixed flow impeller tip clearance verification design device provided in this embodiment can be found in [reference needed]. Figure 3 and Figure 4 The corresponding description in [the document] will not be repeated here.

[0170] Based on the above, Figure 3 and Figure 4 Accordingly, this embodiment also provides a storage medium storing a computer program that, when executed by a processor, implements the above-described method. Figure 3 and Figure 4 The design method for verifying the tip clearance of semi-open runoff and mixed flow impellers is shown.

[0171] Based on this understanding, the technical solution of this application can be embodied in the form of a software product, which can be stored in a non-volatile storage medium (such as CD-ROM, USB flash drive, mobile hard drive, etc.) and includes several instructions to cause an electronic device (such as personal computer, server, or network device, etc.) to execute the methods of various implementation scenarios of this application.

[0172] Based on the above, Figure 3 and Figure 4 The method shown, and Figure 8 and Figure 9 To achieve the above objectives, the present application also provides an electronic device, specifically a personal computer, tablet computer, server, or other network device, as shown in the virtual device embodiment. This device includes a storage medium and a processor; the storage medium stores a computer program; the processor executes the computer program to achieve the above-described objectives. Figure 3 and Figure 4 The design method for verifying the tip clearance of semi-open runoff and mixed flow impellers is shown.

[0173] Optionally, the aforementioned physical devices may also include a user interface, a network interface, a camera, radio frequency (RF) circuitry, sensors, audio circuitry, a Wi-Fi module, etc. The user interface may include a display screen, input units such as a keyboard, etc., and optional user interfaces may also include USB interfaces, card reader interfaces, etc. The network interface may optionally include standard wired interfaces, wireless interfaces (such as Wi-Fi interfaces), etc.

[0174] Those skilled in the art will understand that the physical device structure provided in this embodiment does not constitute a limitation on the physical device, and may include more or fewer components, or combine certain components, or have different component arrangements.

[0175] The storage medium may also include an operating system and a network communication module. The operating system is a program that manages the hardware and software resources of the aforementioned physical device, supporting the operation of information processing programs and other software and / or programs. The network communication module is used to enable communication between the various components within the storage medium, as well as communication with other hardware and software in the information processing physical device.

[0176] Through the above description of the embodiments, those skilled in the art can clearly understand that this application can be implemented by means of software plus necessary general-purpose hardware platform, or it can be implemented by hardware.

[0177] This invention, by comprehensively considering the three-dimensional thermal deformation of all grid nodes on the pressure / suction sides of the main blade and the splitter blade tips, can back-calculate the optimal independent cold-state tip clearance distribution of the main blade and the splitter blade, as well as a combined cold-state tip clearance distribution considering both main and splitter blades, based on a given desired thermal clearance distribution law. This enables refined verification and design of the tip clearance distribution of the main / splitter blades along the meridional coordinate, achieving optimal aerodynamic performance while ensuring safety.

[0178] Those skilled in the art will understand that the accompanying drawings are merely schematic diagrams of a preferred embodiment, and the modules or processes shown in the drawings are not necessarily essential for implementing this application. Those skilled in the art will understand that the modules in the apparatus of the embodiment can be distributed within the apparatus of the embodiment as described, or can be modified to be located in one or more apparatuses different from this embodiment. The modules of the above-described embodiment can be combined into one module, or further divided into multiple sub-modules.

[0179] The serial numbers in this application are for descriptive purposes only and do not represent the superiority or inferiority of any particular implementation scenario. The above disclosures are merely a few specific implementation scenarios of this application; however, this application is not limited thereto, and any variations conceived by those skilled in the art should fall within the protection scope of this application.

Claims

1. A method for verifying and designing the tip clearance of a semi-open radial flow impeller and a mixed flow impeller, characterized in that, include: Acquire basic data and setting parameters for the impeller blade tip. The basic data includes blade tip deformation data, cold blade tip profile data, and meridional cover line data. The setting parameters include the desired hot clearance distribution and the minimum cold clearance value. The cold blade tip profile data includes the suction-side cold blade tip profile and the pressure-side cold blade tip profile of the target blade. The target blade includes at least the main blade. Based on the blade tip deformation data and the cold blade tip profile data, a curve coordinate mapping relationship between the cold and hot blade tip profiles is constructed, and the corresponding hot blade tip profile is obtained. Based on the cold blade tip profile data, the meridional cover line data, and the hot blade tip profile, a mapping relationship between the curve coordinates of the cold blade tip profile and the meridional coordinates is constructed, and the meridional percentage coordinate interval corresponding to the target blade is obtained. The meridional percentage coordinate interval is divided into several continuous discrete meridional coordinate points at uniform intervals, covering the entire range from the leading edge to the trailing edge of the blade. Based on the curve coordinate mapping relationship of the cold-state and hot-state blade tip profile and the mapping relationship between the curve coordinates of the cold-state blade tip profile and the meridional coordinates, the corresponding cold-state blade tip clearance value and hot-state blade tip clearance value are calculated. The cold-state blade tip clearance value and hot-state blade tip clearance value corresponding to all the discrete meridional coordinate points are classified according to the pressure side and suction side of the target blade. Based on the classified cold-state blade tip clearance value and hot-state blade tip clearance value, the cold-state blade tip clearance distribution and hot-state blade tip clearance distribution of the blade tip line of the pressure side and suction side of the target blade as the meridional coordinates change are determined. The actual average cold clearance distribution of the target blade along the meridional coordinate is calculated based on the cold blade tip clearance distribution. The actual minimum hot clearance distribution of the target blade along the meridional coordinate is extracted based on the hot blade tip clearance distribution. Combined with the set parameters, the cold clearance distribution of the target blade is calculated.

2. The method according to claim 1, characterized in that, Based on the blade tip deformation data and the cold blade tip profile data, a curve coordinate mapping relationship between the cold and hot blade tip profiles is constructed, including: Based on the blade tip deformation data and the cold blade tip profile data, the blade tip nodes are mapped and sorted to obtain the coordinates and displacements of the pressure side and suction side blade tip nodes on the target blade arranged in order. Based on the coordinates and displacement of the tip nodes on the pressure and suction sides of the target blades arranged in sequence, the hot tip profiles of the target blades on the corresponding pressure and suction sides are reconstructed. Calculate the cold-state blade tip profile curve coordinates corresponding to the cold-state blade tip nodes on the pressure side and suction side of the target blade, and form a set of cold-state curve coordinates corresponding to each cold-state blade tip profile; Calculate the curve coordinates of the hot tip nodes on the pressure side and suction side of the target blade on the corresponding hot tip profile, and form a set of hot curve coordinates corresponding to each hot tip profile; Using the cold-state curve coordinate set of each cold-state blade tip profile as the independent variable and the corresponding hot-state blade tip profile coordinate set as the dependent variable, an interpolation method is used to establish the independent cold-hot blade tip profile curve coordinate mapping relationship between the pressure side and the suction side of the target blade.

3. The method according to claim 2, characterized in that, Based on the coordinates and displacements of the tip nodes on the pressure and suction sides of the target blades arranged in sequence, the thermal tip profiles of the target blades on the corresponding pressure and suction sides are reconstructed, including: Determine the set of coordinates and thermal displacements of the blade tip nodes arranged in sequence on the pressure side and suction side of the target blade; Based on the set of blade tip node coordinates and the set of thermal displacements, a vector summation operation is performed on the blade tip node coordinates and corresponding thermal displacements arranged sequentially on each side to obtain the set of thermal blade tip node coordinates arranged sequentially on each side along the impeller inlet to outlet direction. An interpolation method is used to interpolate the set of hot blade tip node coordinates arranged in sequence on each side to construct the hot blade tip profile corresponding to the pressure side and suction side of the target blade.

4. The method according to claim 2, characterized in that, The process of constructing a mapping relationship between the cold blade tip profile curve coordinates and meridional coordinates based on the cold blade tip profile data, the meridional cover line data, and the hot blade tip profile includes: Calculate the meridional projection curve of the target blade's hot profile based on the hot blade tip profile; Extract the cold-state blade tip nodes arranged sequentially on the pressure side and suction side of the target blade from the cold-state blade tip profile data, and determine the meridional projection point of each cold-state blade tip node one by one based on the meridional projection curve of the hot-state profile. Based on the meridional shroud line data, for each meridional projection point of the cold blade tip node, find its nearest point on the meridional shroud line and the corresponding meridional shroud curve coordinates of the nearest point; The radial cover curve coordinates are used to determine the radial cover line interval corresponding to each cold blade tip profile. The complete curve length of the radial cover line interval is calculated. The radial cover line interval is formed by the closest points of the leading edge node and trailing edge node of the corresponding cold blade tip profile on the radial cover line. For each cold blade tip node, calculate the cumulative curve length from the starting point of the meridional shroud line interval to its nearest corresponding point, and determine the meridional percentage coordinate corresponding to the cold blade tip node by the ratio of the cumulative curve length to the complete curve length; Using the meridional percentage coordinates as the independent variable and the cold-state blade tip profile curve coordinates as the dependent variable, an interpolation method is used to establish the mapping relationship between the cold-state blade tip profile curve coordinates and the meridional coordinates.

5. The method according to claim 4, characterized in that, The process involves calculating the corresponding cold-state and hot-state tip clearance values ​​based on the curve coordinate mapping relationship of the cold-state tip profile and the mapping relationship between the curve coordinates of the cold-state tip profile and the meridional coordinates. Then, the cold-state and hot-state tip clearance values ​​corresponding to all discrete meridional coordinate points are categorized according to the pressure side and suction side of the target blade. Based on the categorized cold-state and hot-state tip clearance values, the distribution of cold-state and hot-state tip clearance as a function of meridional coordinates on the pressure side and suction side of the target blade is determined. This includes: For each discrete meridional coordinate point, the cold-state blade tip profile curve coordinates corresponding to the pressure side and suction side of the target blade are obtained by mapping the cold-state blade tip profile curve coordinates to the meridional coordinates. Based on the cold blade tip profile curve coordinates on each side, the first Cartesian coordinate point is determined on the corresponding cold blade tip profile. The first meridian projection point of the first Cartesian coordinate point is calculated according to the impeller meridian surface corresponding to the hot profile meridian projection curve. Find the first target point on the meridian cover line that is closest to the first meridian projection point, calculate the tangent vector of the first target point on the meridian cover line, and combine it with the normal vector of the impeller meridian surface to determine the directional relationship between the first vector pointing from the blade tip to the first target point and the normal vector. If the first vector and the normal vector are in the same direction, the cold tip clearance is determined to be positive, and the magnitude of the first vector is used as the cold tip clearance value; if they are in opposite directions, the cold tip clearance is determined to be negative, and the negative value of the magnitude of the first vector is used as the cold tip clearance value. By using the curve coordinate mapping relationship between the cold and hot blade tip profiles, the curve coordinates of the cold blade tip profiles on each side are converted into the corresponding hot blade tip profile coordinates; Based on the coordinates of the thermal curves on each side, the second Cartesian coordinate point is determined on the corresponding thermal blade tip profile. The second meridian projection point of the second Cartesian coordinate point is calculated according to the impeller meridian surface corresponding to the meridional projection curve of the thermal profile. Find the second target point on the meridian cover line that is closest to the second meridian projection point, calculate the tangent vector of the second target point on the meridian cover line, and combine it with the normal vector of the impeller meridian surface to determine the directional relationship between the second vector pointing from the blade tip to the second target point and the normal vector; If the second vector is in the same direction as the normal vector, the hot tip clearance is determined to be positive, and the magnitude of the second vector is used as the hot tip clearance value; if they are in opposite directions, the hot tip clearance is determined to be negative, and the negative value of the magnitude of the second vector is used as the hot tip clearance value. According to the pressure side and suction side of the target blade, all discrete meridional coordinate points are classified into cold-state blade tip clearance values ​​and hot-state blade tip clearance values. The cold-state blade tip clearance distribution curve and hot-state blade tip clearance distribution curve are constructed continuously along the meridional coordinates on each side by interpolation method.

6. The method according to claim 1, characterized in that, The process of calculating the actual average cold clearance distribution of the target blade along the meridional coordinate based on the cold blade tip clearance distribution, extracting the actual minimum hot clearance distribution of the target blade along the meridional coordinate based on the hot blade tip clearance distribution, and calculating the cold clearance distribution of the target blade in conjunction with the set parameters includes: Based on the cold tip clearance distribution of the target blade on the pressure side and suction side, calculate the actual average cold tip clearance distribution of the target blade along the meridional coordinate; based on the hot tip clearance distribution of the target blade on the pressure side and suction side, extract the actual minimum hot tip clearance distribution of the target blade along the meridional coordinate. Extract the actual average cold gap value, the actual minimum hot gap value, and the set desired hot gap distribution and minimum cold gap value corresponding to each discrete metropolitan coordinate point; If the actual average cold clearance value is greater than the actual minimum hot clearance value, then the larger of the two values, constrained by both the desired hot clearance distribution and the minimum cold clearance value, is taken as the target cold clearance value for the discrete meridional coordinate point. If the actual average cold clearance value is less than the actual minimum hot clearance value, then the target hot clearance value is first determined based on the desired hot clearance distribution, and then the target cold clearance value for the discrete meridional coordinate point is derived by combining the curve coordinate mapping relationship of the cold-hot blade tip profile. Interpolation methods are used to process the target cold gap values ​​at all discrete meridional coordinate points to construct a cold gap distribution curve of the target blade continuously distributed along the meridional coordinate.

7. The method according to claim 6, characterized in that, The target blade further includes a flow divider blade, and the method further includes: Obtain the first cold-state gap distribution curve of the main blade and the second cold-state gap distribution curve of the splitter blade; By merging the first cold-state gap distribution curve and the second cold-state gap distribution curve, the common cold-state gap distribution of the main blade and the splitter blade is obtained; The process of merging the first cold-state gap distribution curve and the second cold-state gap distribution curve to obtain the shared cold-state gap distribution of the main blade and the splitter blade includes: The cold leading edge node of the splitter blade is regarded as the suction side node of the main blade. Based on the mapping relationship between the cold blade tip profile curve coordinates and the meridional coordinates, the meridional percentage coordinates of the main blade corresponding to the suction side node of the main blade are calculated. Based on the meridional percentage coordinates of the main blade, the meridional coordinate interval is divided into a transition interval and a main interval; For the transition interval, the gap value corresponding to the first cold-state gap distribution curve of the main blade is directly used as the common cold-state gap distribution value; For the main section, combining the first cold-state gap distribution curve of the main blade and the second cold-state gap distribution curve of the splitter blade, and with the set desired hot-state gap distribution and minimum cold-state gap value as constraints, the shared cold-state gap distribution value that satisfies the dual requirements of the main blade and the splitter blade is calculated. The common cold gap distribution values ​​of the transition interval and the main interval are smoothed and connected to construct a common cold gap distribution curve that is continuously distributed along the meridional coordinate of the main blade.

8. A device for verifying the tip clearance of a semi-open radial flow impeller and a mixed flow impeller, characterized in that, include: The acquisition module is used to acquire basic data and setting parameters of the impeller blade tip. The basic data includes blade tip deformation data, cold blade tip profile data and meridional cover line data. The setting parameters include the desired hot clearance distribution and the minimum cold clearance value. The cold blade tip profile data includes the suction side cold blade tip profile and the pressure side cold blade tip profile of the target blade. The target blade includes at least the main blade. The construction module is used to construct the curve coordinate mapping relationship between the cold and hot blade tip profiles based on the blade tip deformation data and the cold blade tip profile data, and obtain the corresponding hot blade tip profile. It is also used to construct the mapping relationship between the curve coordinates of the cold blade tip profile and the meridional coordinates based on the cold blade tip profile data, the meridional cover line data and the hot blade tip profile, and obtain the meridional percentage coordinate interval corresponding to the target blade. The first calculation module is used to divide the meridional percentage coordinate interval into several continuous discrete meridional coordinate points at uniform intervals, covering the entire range from the leading edge to the trailing edge of the blade. Based on the curve coordinate mapping relationship of the cold-state and hot-state blade tip profile and the mapping relationship between the curve coordinates of the cold-state blade tip profile and the meridional coordinates, the module calculates the corresponding cold-state blade tip clearance value and hot-state blade tip clearance value. The module then classifies the cold-state blade tip clearance value and hot-state blade tip clearance value corresponding to all the discrete meridional coordinate points according to the pressure side and suction side of the target blade. Based on the classified cold-state blade tip clearance value and hot-state blade tip clearance value, the module determines the cold-state blade tip clearance distribution and hot-state blade tip clearance distribution of the blade tip line on the pressure side and suction side of the target blade as the meridional coordinates change. The second calculation module is used to calculate the actual average cold clearance distribution of the target blade along the meridional coordinate based on the cold blade tip clearance distribution, extract the actual minimum hot clearance distribution of the target blade along the meridional coordinate based on the hot blade tip clearance distribution, and calculate the cold clearance distribution of the target blade in combination with the set parameters.

9. A storage medium having a computer program stored thereon, characterized in that, When the computer program is executed by a processor, it implements the method of any one of claims 1 to 7.

10. An electronic device comprising a storage medium, a processor, and a computer program stored on the storage medium and executable on the processor, characterized in that, When the processor executes the computer program, it implements the method of any one of claims 1 to 7.

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