Calculation method for digital preassembled guide vane opening value of water guide mechanism of pump turbine

Abstract

The invention discloses a method for calculating a digital preassembled guide vane opening value of a water guide mechanism of a pump turbine, and belongs to the technical field of water turbine manufacturing, and the method comprises the following steps: S1, numbering guide vanes; s2, establishing a Cartesian coordinate system; s3, performing three-dimensional measurement on the outer surface of the guide vane to obtain actually measured point cloud data; s4, listing theoretical design data required for analyzing and calculating the actually measured opening value; s5, obtaining theoretical measuring point coordinates of the tail part of the 1 # guide vane and the head part of the N # guide vane in a fully open state; s6, determining theoretical measuring point coordinates of other guide vanes in a full-open state; s7, assembling the model coordinate system through the measured data to obtain measured coordinate values; s8, calculating to obtain the real opening values of all the guide vanes at the full-open position; and S9, comparing and judging whether the opening value of the guide vane after the digital preassembling of the water guide mechanism meets the design and acceptance requirements or not. Whether the guide vane opening value of the water guide mechanism meets the design and acceptance requirements or not can be accurately judged.

Description

Technical Field

[0001] The present invention relates to the technical field of hydraulic turbine manufacturing, and particularly relates to a calculation method for the digital pre-assembly guide vane opening value of the guide mechanism of a pump-turbine. Background Art

[0002] After each component of the guide mechanism of a pump-turbine is machined in the manufacturing plant, an overall pre-assembly is required to check whether the assembly dimensions and form and position tolerances between the components meet the design and usage requirements. Among them, the opening values of each stroke between adjacent guide vanes of the guide mechanism are key data for the pre-assembly acceptance of the guide mechanism, and their magnitudes are related to whether the guide mechanism can maintain a water flow with precise flow rate for the runner to perform work.

[0003] Currently, under the existing manufacturing technologies and modes, overall physical pre-assembly of the guide mechanism needs to be carried out in the manufacturing plant first, assembling the top cover, bottom ring, and guide vanes. Then, the control ring is used to adjust each guide vane to the specified stroke value, and the opening data of the upper, middle, and lower three cross-sections of adjacent guide vanes are measured to determine whether they meet the design acceptance requirements.

[0004] With the development of digital large-scale three-dimensional measurement systems and reverse engineering technologies, the guide mechanism of a pump-turbine can achieve the same assembly quality judgment and pre-assembly acceptance as physical pre-assembly by precisely reverse three-dimensionally measuring the components participating in the pre-assembly and assembling and calculating the reverse modeling data. This method can be called the digital pre-assembly technology of the guide mechanism of a pump-turbine.

[0005] Chinese patent document with publication number CN117390788A and publication date January 12, 2024 discloses a method for determining the optimal opening value of the digital pre-assembly of the guide mechanism of a pump-turbine, which is characterized by including the following steps: S1. According to the design dimensions of the top cover and bottom ring, the assembly constraints of the guide mechanism, and the design opening value, establish a theoretical pre-assembly three-dimensional model, and obtain the coordinate data of the theoretical measurement points of the opening values of the top cover and bottom ring in the theoretical pre-assembly three-dimensional model; S2. In the physical model after production and processing, three-dimensionally measure the flow-through surfaces of the top cover and bottom ring to obtain the original measurement data, preprocess the measurement data and match it with the theoretical pre-assembly three-dimensional model in step S1, and then, according to the coordinate data of the theoretical measurement points in step S1, obtain the basic measured coordinate data of the measured points of the bottom ring and top cover; S3. According to the geometric relationship during the adjustment of the opening value of the guide mechanism, set the adjustment points and adjustment values of its optimal opening value, and determine the proportional relationship between the opening adjustment values of the remaining points and the optimal adjustment value; S4. Calculate the initial value of the guide vane mechanism opening using the measured coordinate basic data in step S2, and obtain the difference in the initial opening values of each symmetric measuring point group and the initial opening adjustment value using the initial value; then use the exhaustive method and combine with the proportional relationship in step S3 to calculate the remaining opening values for each group of symmetric measuring points as the optimal opening adjustment points one by one and establish an opening value matrix. S5. Use the opening value matrix in step S4 to determine the optimal adjustment value, position, and optimal opening value of the guide vane mechanism opening.

[0006] The method for determining the optimal opening value of the guide vane mechanism digital pre-assembly of a pump-turbine disclosed in this patent document can meet the requirements of the flexible rotation of the guide vanes and the control of the water flow, and reduce energy consumption. However, since the true opening values of each guide vane at different opening strokes cannot be analyzed, it is impossible to accurately judge whether the guide vane opening value of the guide vane mechanism meets the design and acceptance requirements. Summary of the Invention

[0007] In order to overcome the above defects of the prior art, the present invention provides a method for calculating the guide vane opening value of the guide vane mechanism digital pre-assembly of a pump-turbine. By calculating and analyzing the true opening values of each guide vane at different opening strokes, the present invention can accurately judge whether the guide vane opening value of the guide vane mechanism meets the design and acceptance requirements.

[0008] The present invention is realized through the following technical solutions: A method for calculating the guide vane opening value of the guide vane mechanism digital pre-assembly of a pump-turbine, characterized by including the following steps: S1. Number the guide vanes, select three opening strokes of the guide vanes, and calculate the upper cross-section, middle cross-section, and lower cross-section of all adjacent guide vanes in the three opening strokes for analyzing and judging the measured opening values of the guide vanes. S2. Establish a Cartesian coordinate system, and establish a three-dimensional theoretical pre-assembly model of the fully open guide vane mechanism according to the assembly constraints of the guide vane mechanism and the fully open rotation angle value of the guide vanes. S3. Perform three-dimensional measurement on the outer surface of the guide vanes to obtain measured point cloud data, match the true numbers of the measured guide vanes with the corresponding theoretical models of the guide vanes, and import the measured point cloud data that has completed the matching constraints into the three-dimensional theoretical pre-assembly model of the fully open guide vane mechanism. S4. List the theoretical design data required for analyzing and calculating the measured opening values. S5. Taking the Cartesian coordinate system as the reference, taking the 1# guide vane and the N# guide vane as objects, uniformly convert the theoretical measuring points of the 1# guide vane and the N# guide vane at the three opening strokes to the fully open state for analysis, and obtain the theoretical measuring point coordinates of the tail of the 1# guide vane and the head of the N# guide vane in the fully open state. S6. Determine the theoretical measuring point coordinates of the remaining guide vanes in the fully open state. S7. Based on the theoretical coordinates of the fully open positions of all guide vanes at three opening strokes obtained, the measured coordinate values are obtained by assembling the model coordinate system with the measured data; S8. According to the measured coordinate values of the opening degrees of all guide vanes in the fully open position, the true opening degree values of all guide vanes in the fully open position are calculated; S9. Compare the true opening degree values of all guide vanes in the fully open position calculated with the theoretical values designed in the fully open state and determine whether the opening degree values of the guide vanes after digital pre-assembly of the water guide mechanism meet the design and acceptance requirements.

[0009] In the above S1, the three opening strokes refer to the fully closed position of the guide vane, the semi-open position of the guide vane, and the fully open position of the guide vane.

[0010] In the above S2, establishing a Cartesian coordinate system means taking the center of the guide vane distribution circle as the coordinate origin, taking the direction of the connection line between the center of the guide vane distribution circle and the midpoint of the connection line between the centers of the 1# guide vane and the N# guide vane as the +X axis, and taking the direction 90° counterclockwise from the +X axis as the +Y axis to establish the coordinate system.

[0011] In the above S4, the theoretical design data includes the number of guide vanes , the diameter of the guide vane center distribution circle , the radius of the head mating point of the guide vane , the radius of the tail mating point of the guide vane , the fully open rotation angle value of the guide vane , the radius of the head opening point at the semi-stroke of the guide vane , the radius of the head opening point at the full stroke of the guide vane , the distance between the head opening point at the semi-stroke of the guide vane and the head mating point and the distance between the head opening point at the full stroke of the guide vane and the head mating point .

[0012] In the above S5, the theoretical measurement point coordinates of the tail of the 1# guide vane and the head of the N# guide vane in the fully open state include the theoretical measurement point coordinates of the head and tail mating points of the 1# guide vane and the N# guide vane in the fully closed state, the theoretical measurement point coordinates of the head and tail semi-open opening degrees of the 1# guide vane and the N# guide vane in the fully closed state, and the theoretical measurement point coordinates of the head and tail fully open opening degrees of the 1# guide vane and the N# guide vane in the fully closed state.

[0013] The coordinates after converting the theoretical measurement point coordinates of the head and tail mating points of the 1# guide vane and the N# guide vane in the fully closed state to the fully open state are ; Equation 10; Equation 11.

[0014] The coordinates after converting the theoretical measurement point coordinates of the head and tail semi-open opening degrees of the 1# guide vane and the N# guide vane in the fully closed state to the fully open state are ; Formula 15; Formula 16.

[0015] The coordinate conversion of the theoretical measurement point coordinates of the head and tail fully open degrees of the 1# guide vane and the N# guide vane in the fully closed state to the coordinates after being converted to the fully open state is ; Formula 20; Formula 21.

[0016] In the above-mentioned S6, the theoretical measurement point coordinates of the remaining guide vanes in the fully open state include the theoretical measurement point coordinates of the tail, the theoretical measurement point coordinates of the fully closed and sealed point of the head, the theoretical measurement point coordinates of the semi-open degree of the head, and the theoretical measurement point coordinates of the fully open degree of the head.

[0017] The above-mentioned theoretical measurement point coordinates of the tail are determined by Formula 26; Formula 26.

[0018] The above-mentioned theoretical measurement point coordinates of the fully closed and sealed point of the head are determined by Formula 28; Formula 28.

[0019] The above-mentioned theoretical measurement point coordinates of the semi-open degree of the head are determined by Formula 30; Formula 30.

[0020] The above-mentioned theoretical measurement point coordinates of the fully open degree of the head are determined by Formula 32; Formula 32.

[0021] In the above-mentioned S9, determining whether the guide vane opening value after the digital pre-assembly of the guide mechanism meets the design and acceptance requirements refers to judging through Formula 39; Formula 39; When Formula 39 holds, it is determined that the guide vane opening value after the digital pre-assembly of the guide mechanism meets the design and acceptance requirements.

[0022] The beneficial effects of the present invention are mainly manifested in the following aspects: 1. Compared with the prior art, the present invention can accurately judge whether the guide vane opening value of the guide mechanism meets the design and acceptance requirements by calculating and analyzing the true opening values of each guide vane at different opening strokes.

[0023] 2. The present invention is used to calculate the true opening values of the guide vanes at three strokes of fully closed, half open, and fully open during digital pre-assembly in the guide vane mechanism of a pump-turbine, and then to determine whether the pre-assembly quality of the guide vane mechanism can meet the design and acceptance requirements, with good applicability.

[0024] 3. The present invention converts the three positions of fully closed, half open, and fully open into the fully open position for calculation and analysis, which can reduce the workload of matching the theoretical model pre-assembly and the measured data, as well as the subsequent data analysis and calculation. It can not only improve the efficiency, but also the calculation results do not affect the final judgment on whether the true opening value of the guide vane meets the design and acceptance requirements.

[0025] 4. The present invention preferably provides a calculation method for determining whether the opening value of the guide vane meets the design and acceptance requirements during digital pre-assembly of the guide vane mechanism of a pump-turbine, with the characteristics of standardization and convenience.

[0026] 5. The calculation method provided by the present invention can be preferably applied to the data analysis and pre-assembly quality judgment of digital pre-assembly of the guide vane mechanism of a pump-turbine.

[0027] 6. In the present invention, the pump-turbine replaces the existing manual physical pre-assembly with digital pre-assembly, which helps the manufacturing process to transform towards green and low-carbon, can greatly reduce the pre-assembly cost and compress the assembly cycle. BRIEF DESCRIPTION OF THE DRAWINGS

[0028] The present invention will be further specifically described below in conjunction with the drawings in the specification and the specific embodiments: Figure 1 It is a schematic diagram for analyzing the closing point of the guide vane in the fully closed position of the present invention; Figure 2 It is a schematic diagram for analyzing the conversion of the closing point of the guide vane in the fully closed position to the fully open state of the present invention; Figure 3 It is a schematic diagram for analyzing the half-open position of the guide vane of the present invention; Figure 4 It is a schematic diagram for analyzing the conversion of the half-open measuring point of the guide vane to the fully open position of the present invention; Figure 5 It is a schematic diagram for analyzing the fully open position of the guide vane of the present invention; Figure 6 It is a schematic diagram of the position of each opening measuring point in the fully open position of the No. 1 guide vane of the present invention.

[0029] Reference numerals in the figure: 3. No. 1 guide vane; 4. Tail of No. 1 guide vane; 5. Closing point of No. 1 guide vane and No. N guide vane in the fully closed position; 6. Head of No. N guide vane; 7. Bottom ring; 8. No. N guide vane; 9. Fully open position of the tail of No. 1 guide vane; 10. Fully open position of the head of No. N guide vane; 11. Half-open position of the tail of No. 1 guide vane; 12. Opening value at half stroke of the guide vane; 13. Half-open position of the head of No. N guide vane; 14. Opening value at full stroke of the guide vane. Specific embodiments

[0030] Embodiment 1 A calculation method for the digital pre - installation guide vane opening value of the guide mechanism of a pump - turbine, comprising the following steps: S1. Number the guide vanes, select three opening strokes of the guide vanes, and calculate the upper cross - section, middle cross - section and lower cross - section of all adjacent guide vanes in the three opening strokes for analyzing and judging the measured opening value of the guide vanes; S2. Establish a Cartesian coordinate system, and establish a full - open theoretical pre - installation three - dimensional model of the guide mechanism according to the assembly constraints of the guide mechanism and the full - open rotation angle value of the guide vanes; S3. Conduct three - dimensional measurement on the outer surface of the guide vanes to obtain measured point cloud data, match the real numbers of the measured guide vanes with the corresponding theoretical models of the guide vanes, and import the measured point cloud data with completed matching constraints into the full - open theoretical pre - installation three - dimensional model of the guide mechanism; S4. List the theoretical design data required for analyzing and calculating the measured opening value; S5. Taking the Cartesian coordinate system as the reference, taking the 1# guide vane and the N# guide vane as objects, uniformly convert the theoretical measurement points of the 1# guide vane and the N# guide vane at the three opening strokes to the full - open state for analysis, and obtain the theoretical measurement point coordinates of the tail of the 1# guide vane and the head of the N# guide vane in the full - open state; S6. Determine the theoretical measurement point coordinates of the remaining guide vanes in the full - open state; S7. According to the obtained theoretical coordinates of all guide vanes at the full - open positions in the three opening strokes, obtain the measured coordinate values through the measured data assembly model coordinate system; S8. According to the measured opening coordinate values of all guide vanes at the full - open positions, calculate the real opening values of all guide vanes at the full - open positions; S9. Compare the calculated real opening values of all guide vanes at the full - open positions with the designed theoretical values in the full - open state and judge whether the guide vane opening values after the digital pre - installation of the guide mechanism meet the design and acceptance requirements.

[0031] This embodiment is the most basic implementation mode. Compared with the prior art, by calculating and analyzing the real opening values of each guide vane at different opening strokes, it is possible to accurately judge whether the guide vane opening values of the guide mechanism meet the design and acceptance requirements.

[0032] Embodiment 2 A calculation method for the digital pre - installation guide vane opening value of the guide mechanism of a pump - turbine, comprising the following steps: S1. Number the guide vanes, select three opening strokes of the guide vanes, and calculate the upper cross - section, middle cross - section and lower cross - section of all adjacent guide vanes in the three opening strokes for analyzing and judging the measured opening value of the guide vanes; S2. Establish a Cartesian coordinate system, and based on the assembly constraints of the water guide mechanism and the fully open vane rotation angle value, establish a three-dimensional theoretical pre-assembly model of the fully open water guide mechanism; S3. Conduct three-dimensional measurement on the outer surface of the guide vane to obtain the measured point cloud data. Match the true number of the measured guide vane with the corresponding theoretical model of the guide vane, and import the measured point cloud data with completed matching constraints into the three-dimensional theoretical pre-assembly model of the fully open water guide mechanism; S4. List the theoretical design data required for analyzing and calculating the measured opening value; S5. Taking the Cartesian coordinate system as the reference, using the No. 1 guide vane and the No. N guide vane as objects, uniformly convert the theoretical measurement points of the No. 1 guide vane and the No. N guide vane at three opening strokes to the fully open state for analysis, and obtain the theoretical measurement point coordinates of the tail of the No. 1 guide vane and the head of the No. N guide vane in the fully open state; S6. Determine the theoretical measurement point coordinates of the remaining guide vanes in the fully open state; S7. According to the obtained theoretical coordinates of the fully open positions of all guide vanes at three opening strokes, obtain the measured coordinate values through the measured data assembly model coordinate system; S8. According to the measured opening coordinate values of all guide vanes in the fully open position, calculate the true opening values of all guide vanes in the fully open position; S9. Compare the calculated true opening values of all guide vanes in the fully open position with the designed theoretical values in the fully open state, and judge whether the opening values of the guide vanes after digital pre-assembly of the water guide mechanism meet the design and acceptance requirements.

[0033] In the above S1, the three opening strokes refer to the fully closed position of the guide vane, the half-open position of the guide vane, and the fully open position of the guide vane.

[0034] In the above S2, establishing a Cartesian coordinate system means taking the center of the guide vane distribution circle as the coordinate origin, taking the direction of the line connecting the center of the guide vane distribution circle and the midpoint of the line connecting the centers of the No. 1 guide vane and the No. N guide vane as the +X axis, and taking the direction 90° counterclockwise from the +X axis as the +Y axis to establish the coordinate system.

[0035] In the above S4, the theoretical design data includes the number of guide vanes 、the diameter of the center distribution circle of the guide vanes 、the radius of the head mating point of the guide vane 、the radius of the tail mating point of the guide vane 、the fully open rotation angle value of the guide vane 、the radius of the head opening point at the half stroke of the guide vane 、the radius of the head opening point at the full stroke of the guide vane 、the distance between the head opening point at the half stroke of the guide vane and the head mating point and the distance between the head opening point at the full stroke of the guide vane and the head mating point .

[0036] In S5, the theoretical measuring point coordinates of the tail of the No. 1 guide vane and the head of the No. N guide vane in the fully open state include the theoretical measuring point coordinates of the mating points of the head and tail of the No. 1 guide vane and the No. N guide vane in the fully closed state, the theoretical measuring point coordinates of the head and tail of the No. 1 guide vane and the No. N guide vane at half-open position in the fully closed state, and the theoretical measuring point coordinates of the head and tail of the No. 1 guide vane and the No. N guide vane at fully open position in the fully closed state.

[0037] This embodiment is a preferred embodiment, which is used to calculate the true opening values of the guide vanes at three strokes of fully closed, half-open and fully open during digital pre-assembly in the guide vane mechanism of a pump-turbine, and then to judge whether the pre-assembly quality of the guide vane mechanism can meet the design and acceptance requirements, with good applicability.

[0038] Embodiment 3 A method for calculating the opening value of a guide vane in digital pre-assembly of a guide vane mechanism of a pump-turbine includes the following steps: S1. Number the guide vanes, select three opening strokes of the guide vanes, and calculate the upper section, middle section and lower section of all adjacent guide vanes in the three opening strokes for analyzing and judging the measured opening values of the guide vanes; S2. Establish a Cartesian coordinate system, and establish a fully open theoretical pre-assembly three-dimensional model of the guide vane mechanism according to the assembly constraints of the guide vane mechanism and the fully open rotation angle value of the guide vane; S3. Conduct three-dimensional measurement on the outer surface of the guide vane to obtain measured point cloud data, match the true numbers of the measured guide vanes with the corresponding theoretical models of the guide vanes, and import the measured point cloud data that has completed the matching constraints into the fully open theoretical pre-assembly three-dimensional model of the guide vane mechanism; S4. List the theoretical design data required for analyzing and calculating the measured opening values; S5. Taking the Cartesian coordinate system as the reference, taking the No. 1 guide vane and the No. N guide vane as objects, uniformly convert the theoretical measuring points of the No. 1 guide vane and the No. N guide vane at three opening strokes to the fully open state for analysis, and obtain the theoretical measuring point coordinates of the tail of the No. 1 guide vane and the head of the No. N guide vane in the fully open state; S6. Determine the theoretical measuring point coordinates of the remaining guide vanes in the fully open state; S7. According to the obtained theoretical coordinates of all guide vanes at the fully open positions at three opening strokes, obtain the measured coordinate values through the measured data assembly model coordinate system; S8. Calculate the true opening values of all guide vanes at the fully open positions according to the measured opening coordinate values of all guide vanes at the fully open positions; S9. Compare the calculated true opening values of all guide vanes at the fully open positions with the designed theoretical values in the fully open state, and judge whether the opening values of the guide vanes after digital pre-assembly of the guide vane mechanism meet the design and acceptance requirements.

[0039] In S1, the three opening strokes refer to the fully closed position of the guide vane, the half-open position of the guide vane, and the fully open position of the guide vane.

[0040] In S2, establishing a Cartesian coordinate system means taking the center of the guide vane distribution circle as the coordinate origin, the direction of the line connecting the center of the guide vane distribution circle and the midpoint of the line connecting the centers of the 1# guide vane and the N# guide vane as the +X axis, and the direction 90° counterclockwise from the +X axis as the +Y axis to establish the coordinate system.

[0041] In S4, the theoretical design data includes the number of guide vanes , the diameter of the guide vane center distribution circle , the radius of the head mating point of the guide vane , the radius of the tail mating point of the guide vane , the fully open rotation angle value of the guide vane , the radius of the head opening point at the half stroke of the guide vane , the radius of the head opening point at the full stroke of the guide vane , the distance between the head opening point at the half stroke of the guide vane and the head mating point and the distance between the head opening point at the full stroke of the guide vane and the head mating point .

[0042] In S5, the theoretical measurement point coordinates of the tail of the 1# guide vane and the head of the N# guide vane in the fully open state include the theoretical measurement point coordinates of the head and tail mating points of the 1# guide vane and the N# guide vane in the fully closed state, the theoretical measurement point coordinates of the head and tail half-open openings of the 1# guide vane and the N# guide vane in the fully closed state, and the theoretical measurement point coordinates of the head and tail fully open openings of the 1# guide vane and the N# guide vane in the fully closed state.

[0043] The coordinates of the theoretical measurement points of the head and tail mating points of the 1# guide vane and the N# guide vane in the fully closed state after being converted to the fully open state are ; Equation 10; Equation 11.

[0044] The coordinates of the theoretical measurement points of the head and tail half-open openings of the 1# guide vane and the N# guide vane in the fully closed state after being converted to the fully open state are ; Equation 15; Equation 16.

[0045] The coordinates of the theoretical measurement points of the head and tail fully open openings of the 1# guide vane and the N# guide vane in the fully closed state after being converted to the fully open state are ; Equation 20; Equation 21.

[0046] In S6, the theoretical measurement point coordinates of the remaining guide vanes in the fully open state include the theoretical measurement point coordinates at the tail, the theoretical measurement point coordinates of the fully closed and sealed point at the head, the theoretical measurement point coordinates of the semi-open position at the head, and the theoretical measurement point coordinates of the fully open position at the head.

[0047] The theoretical measurement point coordinates at the tail are determined by Equation 26; Equation 26.

[0048] The theoretical measurement point coordinates of the fully closed and sealed point at the head are determined by Equation 28; Equation 28.

[0049] The theoretical measurement point coordinates of the semi-open position at the head are determined by Equation 30; Equation 30.

[0050] The theoretical measurement point coordinates of the fully open position at the head are determined by Equation 32; Equation 32.

[0051] In S9, determining whether the guide vane opening value after digital pre-assembly of the guide mechanism meets the design and acceptance requirements refers to judging by Equation 39; Equation 39; When Equation 39 holds, it is determined that the guide vane opening value after digital pre-assembly of the guide mechanism meets the design and acceptance requirements.

[0052] This embodiment is the best implementation mode. By uniformly converting the three positions of fully closed, semi-open, and fully open into the fully open position for calculation and analysis, it can reduce the workload of theoretical model pre-assembly and matching of measured data, as well as subsequent data analysis and calculation. It can not only improve efficiency, but also the calculation results do not affect the final judgment result of whether the true opening value of the guide vane meets the design and acceptance requirements.

[0053] It preferably provides a calculation method for judging whether the guide vane opening value meets the design and acceptance requirements when digitally pre-assembling the guide mechanism of a pump-turbine, which has the characteristics of standardization and convenience.

[0054] The provided calculation method can be preferably applied to the data analysis and pre-assembly quality judgment of the digital pre-assembly of the guide mechanism of a pump-turbine.

[0055] Replacing the existing manual physical pre-assembly with digital pre-assembly for a pump-turbine helps the manufacturing process to transform towards green and low-carbon, can greatly reduce the pre-assembly cost and compress the assembly cycle.

[0056] Step S5 of the present invention specifically includes: See Figure 1, if the center coordinates of the No. 1 guide vane are , and the center coordinates of the No. N guide vane are , then there are: Equation 1; Equation 2; Let the chord length value between the center of the No. 1 guide vane and the center of the No. N guide vane be , then there are: Equation 3; In Among them Using the cosine formula, we can get: Equation 4; Refer to Figure 2 , if the point M is converted to the fully open state for analysis, then the closing point at the tail of the No. 1 guide vane is , and the closing point at the head of the No. N guide vane is ; In Among them Using the cosine formula, we can get: Equation 5; Further analysis shows that: Equation 6; Therefore The coordinates of the point are: Equation 7; Similarly, through analysis, we can get: Equation 8; Therefore The coordinates of the point are: Equation 9; Thus, it can be known that the coordinates of the theoretical measurement points of the head and tail closing points of the No. N guide vane and the No. 1 guide vane after being converted from the fully closed state to the fully open state are respectively: Equation 10; Equation 11; Refer to Figure 3 , when the guide vane is in the half-open stroke position, the measurement point at the tail of the No. 1 guide vane is rotated from point, but the measurement point at the head of the No. N guide vane is no longer rotated from the head closing point, but is rotated from .

[0057] In it using the cosine formula, we can get: Equation 12; Combining Equation 5 and Equation 12 for analysis, we can see that: Equation 13; Refer to Figure 4 , if the head and tail opening measurement points of the 1# guide vane and N# guide vane in the fully closed position are converted to the fully open state for analysis, then the tail measurement point of the 1# guide vane is still , and the head measurement point of the N# guide vane is .

[0058] Analysis shows that the coordinates of are: Equation 14; Further analysis shows that the coordinates after converting the theoretical head and tail half-open opening measurement points of the N# guide vane and 1# guide vane in the fully closed state to the fully open state are respectively: Equation 15; Equation 16; Refer to Figure 5 , when the guide vane is in the full stroke position, the tail measurement point of the 1# guide vane is rotated from point, but the head measurement point of the N# guide vane is no longer rotated from the head mating point, but is rotated from .

[0059] In it using the cosine formula, we can get: Equation 17; Combining Equation 5 and Equation 17 for analysis, we can see that: Equation 18; If the head and tail opening measurement points of the 1# guide vane and N# guide vane in the fully closed position are converted to the fully open state for analysis, then the tail measurement point of the 1# guide vane is still , and the head measurement point of the N# guide vane is .

[0060] Analysis shows that the coordinates of are: Equation 19; Further analysis shows that the theoretical measurement point coordinates of the head and tail of the N# guide vane and the 1# guide vane in the fully closed state are converted to the coordinates after being in the fully open state. Respectively, there are: Equation 20; Equation 21.

[0061] Step S6 of the present invention specifically includes: Convert the theoretical rectangular coordinate values of the head measurement points of the N# guide vane at each opening stroke to the coordinate values in the corresponding polar coordinates when in the fully open position.

[0062] According to the conversion formula between rectangular coordinates and polar coordinates, it can be obtained that The polar coordinates of are: Equation 22; According to the conversion formula between rectangular coordinates and polar coordinates, it can be obtained that The polar coordinates of are: Equation 23; According to the conversion formula between rectangular coordinates and polar coordinates, it can be obtained that The polar coordinates of are: Equation 24; See Figure 6 According to the polar coordinate values and and The theoretical coordinates of the opening measurement points of the 2#-N# guide vanes at each stroke can be obtained.

[0063] According to the conversion formula between rectangular coordinates and polar coordinates, it can be obtained that The polar coordinates of are: Equation 25; Let the theoretical measurement point coordinates of the tails of the remaining guide vanes at each opening stroke in the fully open position be Then the theoretical measurement point coordinates of the tails of all the guide vanes at each opening stroke in the fully open position are: Equation 26; According to the conversion formula between rectangular coordinates and polar coordinates, it can be obtained that The polar coordinates of are: Equation 27; Let the theoretical coordinates of the head fully closed and sealed points of the remaining guide vanes at each opening stroke in the fully open position The theoretical measurement point coordinates of the head fully closed and sealed point at each opening stroke with all guide vanes in the fully open position are as follows: Equation 28; According to the conversion formula between rectangular coordinates and polar coordinates, we can obtain The polar coordinates of Equation 29; Let the theoretical coordinates of the head half-open measurement points at each opening stroke with the remaining guide vanes in the fully open position be Then the theoretical measurement point coordinates of the head half-open opening at each opening stroke with all guide vanes in the fully open position are: Equation 30; According to the conversion formula between rectangular coordinates and polar coordinates, we can obtain The polar coordinates of are: Equation 31; Let the theoretical coordinates of the head fully open measurement points at each opening stroke with the remaining guide vanes in the fully open position be Then the theoretical measurement point coordinates of the head fully open opening at each opening stroke with all guide vanes in the fully open position are: Equation 32.

[0064] Step S8 of the present invention specifically includes: According to the obtained measured opening coordinates, the true opening values of each adjacent guide vane at each opening stroke in the fully open position can be obtained by using the distance formula between space coordinates.

[0065] In the fully open state, the opening values of the upper section, middle section, and lower section of the fully closed stroke of guide vanes 1#-(N - 1)# are and respectively, then there is: Equation 33; In the fully open state, the opening values of the upper section, middle section, and lower section of the fully closed stroke of guide vanes N#-1# are and respectively, then there is: Equation 34; In the fully open state, the opening values of the upper section, middle section, and lower section of the half-open stroke of guide vanes 1#-(N - 1)# are and, then there is: Equation 35; In the fully open state, the opening values of the upper section, middle section, and lower section of the half-open stroke of guide vanes N#-1# are and , there is: Equation 36; In the fully open state, the opening values of the upper section, middle section, and lower section of the fully open stroke of the 1#-(N - 1)# guide vanes are respectively and , there is: Equation 37; In the fully open state, the opening values of the upper section, middle section, and lower section of the fully open stroke of the N#-1# guide vanes are respectively and , there is: Equation 38.

[0066] Step S9 of the present invention specifically includes: According to the design dimensions of each component of the water guide mechanism, the design opening values at full close, half open, and fully open in the state of pre-assembling the guide vane physical objects are respectively represented by , and the opening tolerance is represented by .

[0067] Since the measured opening values of all guide vanes at different strokes are calculated after being converted to the fully open position, it is necessary to convert the original design opening value to in the fully open state.

[0068] Compare all the measured and calculated opening values with the design values and tolerance values, and then judge whether the opening values of the guide vanes after digital pre-assembly of the water guide mechanism meet the design and acceptance requirements, specifically as follows: Equation 39; When Equation 39 holds, it means that the measured opening values of all guide vanes after digital pre-assembly of the water guide mechanism meet the design and acceptance requirements.

Claims

1. A calculation method for the digital pre-assembly guide vane opening value of the guide vane mechanism of a pump-turbine, characterized in that, It includes the following steps: S1. Number the guide vanes, select three opening strokes of the guide vanes, and calculate the upper cross-section, middle cross-section and lower cross-section of all adjacent guide vanes in the three opening strokes for analyzing and judging the measured opening value of the guide vanes; S2. Establish a Cartesian coordinate system, and establish a full-open theoretical pre-assembly three-dimensional model of the water guide mechanism according to the assembly constraints of the water guide mechanism and the full-open rotation angle value of the guide vanes; S3. Conduct three-dimensional measurement on the outer surface of the guide vanes to obtain the measured point cloud data, match the true numbers of the measured guide vanes with the corresponding theoretical models of the guide vanes, and import the measured point cloud data with completed matching constraints into the full-open theoretical pre-assembly three-dimensional model of the water guide mechanism; S4. List the theoretical design data required for analyzing and calculating the measured opening value; S5. Taking the Cartesian coordinate system as the reference, taking the 1# guide vane and the N# guide vane as objects, uniformly convert the theoretical measurement points of the 1# guide vane and the N# guide vane at the three opening strokes to the full-open state for analysis, and obtain the theoretical measurement point coordinates of the tail of the 1# guide vane and the head of the N# guide vane in the full-open state; S6. Determine the theoretical measurement point coordinates of the remaining guide vanes in the full-open state; S7. According to the obtained theoretical coordinates of the full-open positions of all guide vanes at the three opening strokes, obtain the measured coordinate values through the measured data assembly model coordinate system; S8. According to the measured opening coordinate values of all guide vanes in the full-open position, calculate the true opening values of all guide vanes in the full-open position; S9. Compare the calculated true opening values of all guide vanes in the full-open position with the theoretical values designed in the full-open state and judge whether the opening values of the guide vanes after digital pre-assembly of the water guide mechanism meet the design and acceptance requirements.

2. The calculation method of the digital pre-assembly guide vane opening value of the water guide mechanism of a pump-turbine according to claim 1, characterized in that: In the above S1, the three opening strokes refer to the full-closed position of the guide vanes, the half-open position of the guide vanes and the full-open position of the guide vanes.

3. The calculation method of the digital pre-assembly guide vane opening value of the water guide mechanism of a pump-turbine according to claim 1, wherein: In the above S2, establishing a Cartesian coordinate system means establishing a coordinate system with the center of the guide vane distribution circle as the coordinate origin, the direction of the connection line between the center of the guide vane distribution circle and the midpoint of the connection line between the centers of the 1# guide vane and the N# guide vane as the +X axis, and the direction 90° counterclockwise from the +X axis as the +Y axis.

4. The calculation method of the digital pre-assembly guide vane opening value of the water guide mechanism of a pump-turbine according to claim 1, characterized in that: In the said S4, the theoretical design data includes the number of guide vanes , the diameter of the center distribution circle of the guide vanes , the radius of the head fitting point of the guide vanes , the radius of the tail fitting point of the guide vanes , the full - open rotation angle value of the guide vanes , the radius of the head opening point at half stroke of the guide vanes , the radius of the head opening point at full stroke of the guide vanes , the distance between the head opening point at half stroke and the head fitting point of the guide vanes and the distance between the head opening point at full stroke and the head fitting point of the guide vanes .

5. The calculation method of the digital pre-assembly guide vane opening value of the water guide mechanism of a pump-turbine according to claim 1, characterized in that: In the above S5, the theoretical measurement point coordinates of the tail of the 1# guide vane and the head of the N# guide vane in the full-open state include the theoretical measurement point coordinates of the head and tail mating points of the 1# guide vane and the N# guide vane in the full-closed state, the theoretical measurement point coordinates of the head and tail half-open opening of the 1# guide vane and the N# guide vane in the full-closed state, and the theoretical measurement point coordinates of the head and tail full-open opening of the 1# guide vane and the N# guide vane in the full-closed state.

6. The calculation method of the digital pre-assembly guide vane opening value of the water guide mechanism of a pump-turbine according to claim 5, characterized in that: The theoretical measuring point coordinates of the head and tail mating points of the 1st guide vane and the Nth guide vane in the fully closed state after being converted to the coordinates in the fully open state are ; Formula 10; Formula 11.

7. A calculation method for the digital pre-assembly guide vane opening value of the water guide mechanism of a pump-turbine according to claim 5, characterized in that: The coordinate transformation of the theoretical measurement points at the head and tail half-open degrees of the 1# guide vane and the N# guide vane in the fully closed state to the coordinates after being transformed to the fully open state is ; Formula 15; Formula 16.

8. A calculation method for the digital pre-assembly guide vane opening value of the water guide mechanism of a pump-turbine, characterized in that: The theoretical measurement point coordinates of the head and tail full-opening degrees of the 1# guide vane and the N# guide vane in the fully closed state after being converted to the coordinates in the fully open state are ; Formula 20; Formula 21.

9. The calculation method of the digital pre-assembly guide vane opening value of the water guide mechanism of a pump-turbine according to claim 1, characterized in that: In the above S6, the theoretical measurement point coordinates of the remaining guide vanes in the full-open state include the tail theoretical measurement point coordinates, the head full-closed mating point theoretical measurement point coordinates, the head half-open opening theoretical measurement point coordinates and the head full-open opening theoretical measurement point coordinates.

10. The calculation method of the digital pre-assembly guide vane opening value of the water guide mechanism of a pump-turbine according to claim 9, characterized in that: The above tail theoretical measurement point coordinates are determined by Equation 26; Formula 26.

11. The calculation method of the digital pre-assembly guide vane opening value of the water guide mechanism of a pump-turbine according to claim 9, characterized in that: The above head full-closed mating point theoretical measurement point coordinates are determined by Equation 28; Formula 28.

12. The calculation method of the digital pre-assembly guide vane opening value of the water guide mechanism of a pump-turbine according to claim 9, characterized in that: The above head half-open opening theoretical measurement point coordinates are determined by Equation 30; Formula 30.

13. A calculation method for the digital pre-assembly guide vane opening value of the guide vane mechanism of a pump-turbine according to claim 9, characterized in that: The above head full-open opening theoretical measurement point coordinates are determined by Equation 32; Formula 32.

14. The calculation method of the digital pre-assembly guide vane opening value of the water guide mechanism of a pump-turbine according to claim 1, characterized in that: In the above S9, judging whether the opening values of the guide vanes after digital pre-assembly of the water guide mechanism meet the design and acceptance requirements means judging by Equation 39; Formula 39; When Equation 39 holds, it is determined that the guide vane opening value after the digital pre-assembly of the water guide mechanism meets the design and acceptance requirements.

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