vortex profile design methods and related products

Abstract

This invention relates to the field of scroll machinery technology, and discloses a scroll profile design method and related products. The method includes: representing an algebraic helix with linear differential pitch in polar coordinates; using the algebraic helix with linear differential pitch as a generation baseline; and generating a scroll profile based on the generation baseline. By using the algebraic helix with linear differential pitch in polar coordinates as the generation baseline for generating the scroll profile, and defining different algebraic helixes, scroll disk profiles with significant differences can be generated. This allows the generated scroll profile to flexibly adjust the variation law of the working volume cavity, the variation law of the leakage line length, and the variation law of the connection area with the intake and exhaust ports, thereby achieving flexible adjustment of the profile's geometric performance, improving the flexibility of scroll profile parameter design, expanding the parameter optimization space, and thus improving the thermodynamic performance of the scroll machinery.

Description

Technical Field

[0001] This invention relates to the field of vortex machinery technology, and in particular to a method for designing vortex profiles based on algebraic helices with linear difference pitch. Background Technology

[0002] Scroll machinery is a type of positive displacement rotary machinery with forced intake and exhaust functions, widely used in modern industry as a gas compressor or expander. Compared to power-type compression and expansion machinery, it has many advantages such as reliable operation, strong adaptability to working conditions, and low cost. Compared to other positive displacement machinery, it has the characteristics of no vulnerable parts such as valves, compatibility with liquids, and high operating efficiency, making it a core component in systems such as medium and low pressure air supply, steam cycle refrigeration, and organic Rankine cycle waste heat recovery.

[0003] The core design element of scroll machinery is the scroll profile, which directly determines the thermodynamic performance of the entire machine. Advanced scroll profile design methods require comprehensive consideration of the variation patterns of its working volume, the variation patterns of the leakage line length, and the variation patterns of the connection area with the intake and exhaust ports, in order to regulate its internal compression, leakage, and intake / exhaust processes. Currently, commonly used scroll profiles are often based on circular involutes or algebraic helices with a fixed pitch.

[0004] However, the vortex disk profile formed by circular involutes or algebraic helices with fixed pitch suffers from problems such as limited design parameters and poor adjustability of the vortex disk profile shape, resulting in limited space for parameter design optimization and thus affecting the thermodynamic performance of the vortex machinery. Summary of the Invention

[0005] This invention aims to solve the technical problem of limited parameter design optimization space caused by the use of circular involutes or algebraic helices with fixed pitch to form the vortex disk profile in the prior art. It improves the flexibility of vortex profile parameter design, expands the parameter optimization space, and allows the vortex profile to flexibly adjust the variation law of the working volume cavity, the variation law of the leakage line length, and the variation law of the connection area with the intake and exhaust ports, so as to realize the flexible adjustment of the geometric performance of the profile, thereby improving the thermodynamic performance of the vortex machinery.

[0006] The above-mentioned objectives are mainly achieved through the following technical solutions:

[0007] Firstly, a vortex profile design method based on a linear difference pitch algebraic spiral includes: representing the linear difference pitch algebraic spiral in polar coordinates, using the linear difference pitch algebraic spiral as a generation baseline, and generating a vortex profile based on the generation baseline.

[0008] Preferably, both the generated baseline and the vortex profile are modified with circular arcs. The generated baseline has a first modified profile, and the vortex profile has a second modified profile. The first modified profile is a first circular arc, which is the arc where the first modified profile is tangent to the generated baseline at a first connection point. The second modified profile is a second circular arc, which is the arc where the second modified profile is tangent to the vortex profile at a second connection point. The first connection point is located on the generated baseline, and the second connection point is located on the vortex profile.

[0009] Preferably, the vortex profile includes a rotating vortex disk profile and a non-rotating vortex disk profile, wherein the rotating vortex disk profile and the non-rotating vortex disk profile are identical and are centrally symmetrically meshed.

[0010] Preferably, the algebraic helix with linear difference pitch represented in polar coordinates includes:

[0011] Based on the requirements of intake / exhaust and working chamber volume ratio, target points are selected from the polar coordinate system to form a target point set; a linear difference relationship is defined according to the target point set; and the algebraic helix of the linear difference pitch is solved using the linear difference relationship.

[0012] Preferably, the algebraic helix of the linear difference pitch is solved using the linear difference relationship, and the calculation formula is as follows:

[0013] ρ is the polar radius of the polar coordinate system, β is the polar angle of the polar coordinate system; k(θ) is the linear difference relationship. θ i ≤θ≤θ i+1 , (θ i ,k i ) represents the target point set.

[0014] Preferably, a vortex profile is generated based on the generated baseline, calculated as follows:

[0015]

[0016] x p and y p , respectively, represent the x and y coordinates of the vortex-shaped line in the polar coordinate system, and x and y represent the x and y coordinates of the generated baseline in the polar coordinate system, respectively; r o n represents the radius of gyration of the rotating scroll disk; x With n y These represent the x and y coordinates of the unit normal vector of a point on the generated baseline, respectively.

[0017]

[0018] Preferably, the formula for calculating the x and y coordinates of the unit normal vector of a point on the generated baseline is as follows:

[0019]

[0020]

[0021] Secondly, the vortex profile based on the linear difference pitch algebraic spiral is designed using the vortex profile design method based on the linear difference pitch algebraic spiral as described in the first aspect.

[0022] Thirdly, a scroll compressor, including a scroll profile based on a linear difference pitch algebraic helix as described in the second aspect.

[0023] Fourthly, an air conditioner comprising a scroll compressor as described in the third aspect above.

[0024] Fifthly, an electronic device includes a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor, when executing the computer program, implements the steps of the spiral profile design method based on the linear difference pitch algebraic spiral described above.

[0025] Sixthly, a computer-readable storage medium storing a computer program that, when executed by a processor, implements the steps of the above-described spiral profile design method based on a linear difference pitch algebraic spiral.

[0026] Compared to existing technologies, the advantages are as follows: using an algebraic spiral with linear difference pitch expressed in polar coordinates as the baseline for generating the vortex profile, and defining different algebraic spirals, vortex disk profiles with significant differences can be generated. This allows for flexible adjustment of the volume working cavity variation law, the leakage line length variation law, and the connection area variation law with the intake and exhaust ports, thereby achieving flexible adjustment of the profile's geometric performance, improving the flexibility of vortex profile parameter design, expanding the parameter optimization space, and ultimately improving the thermodynamic performance of the vortex machinery. Attached Figure Description

[0027] Figure 1 This is a schematic diagram of the vortex disk profile generation in an embodiment of the present invention;

[0028] Figure 2 This is a schematic diagram of the linear difference relationship of the algebraic spiral in an embodiment of the present invention;

[0029] Figure 3 This is a schematic diagram of the vortex profile in an embodiment of the present invention;

[0030] Figure 4This is a schematic diagram of the meshing process between the rotating scroll disk profile and the non-rotating scroll disk profile in an embodiment of the present invention;

[0031] Figure 5 This is a schematic diagram of the structure for adjusting different parameters of the vortex profile in an embodiment of the present invention;

[0032] Figure 6 This is a schematic diagram of the structure of an electronic device according to an embodiment of the present invention. Detailed Implementation

[0033] To enable those skilled in the art to better understand the present invention, the technical solutions of the present invention will be clearly and completely described below with reference to the accompanying drawings of the embodiments of the present invention. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort should fall within the scope of protection of the present invention.

[0034] In existing technologies, commonly used scroll disc profiles are often formed based on circular involutes or algebraic helices with fixed pitch. However, due to the limited design parameters and poor adjustability of scroll disc profiles based on circular involutes or algebraic helices with fixed pitch, the space for parameter design optimization is limited, thus affecting the thermodynamic performance of scroll machinery. Therefore, this invention provides a design method for scroll disc profiles based on linear differential pitch algebraic helices. The method adjusts the fixed-pitch algebraic helices to linearly varying pitch algebraic helices, using a linear differential pitch algebraic helice represented in polar coordinates as the baseline for generating the scroll disc profile. By defining different algebraic helices, scroll disc profiles with significant differences can be generated. This allows for flexible adjustment of the volumetric working cavity variation, leakage line length variation, and the connection area variation with the intake and exhaust ports, enabling flexible adjustment of the profile's geometric properties. This improves the flexibility of scroll disc profile parameter design, expands the parameter optimization space, and ultimately improves the thermodynamic performance of scroll machinery.

[0035] One embodiment of the present invention provides a vortex profile design method based on algebraic helical lines with linear difference pitch, such as... Figure 1 As shown, an algebraic spiral with linear difference pitch expressed in polar coordinates is used as the generation baseline 100 for the vortex profile. Based on the generation baseline, the vortex profile 200 is generated using an equidistant method. By defining different algebraic spirals, vortex disk profiles with significant differences can be generated, allowing the generated vortex disk profiles to flexibly adjust the variation law of the working volume cavity, the variation law of the leakage line length, and the variation law of the connection area with the intake and exhaust ports, thereby realizing flexible adjustment of the geometric performance of the profile.

[0036] It should be noted that both the generated baseline 100 and the vortex profile 200 employ circular arc correction. The generated baseline has a first correction profile, and the vortex profile has a second correction profile. The first correction profile is a first circular arc, which is the arc tangent to the generated baseline 100 at the first connection point 101. The second correction profile is a second circular arc, which is the arc tangent to the vortex profile 200 at the second connection point 201. The first connection point 101 is located on the generated baseline 100, and the second connection point 201 is located on the vortex profile 200. By selecting appropriate radii for the first and second circular arcs, the wall thickness of the generated baseline 100 and the vortex profile 200 decreases as the vortex span angle increases, thereby controlling the variation in the wall thickness of the generated baseline 100 and the vortex profile 200.

[0037] The specific design process of the vortex profile is as follows:

[0038] Based on the requirements for intake / exhaust and working chamber volume ratio, from the polar coordinate system Ox (e.g. Figure 1 As shown, this polar coordinate system is a target point set (θ) composed of target points selected from O as the origin and the x-axis as the initial axis. i ,k i ), where i takes the value of a natural number; define a linear difference relationship k(θ) based on the target point set. θ i ≤θ≤θ i+1 ,like Figure 2 As shown; the algebraic helix of the linear difference pitch (i.e., the generated baseline) ρ(β) is solved using the aforementioned linear difference relationship: ρ is the polar radius of the polar coordinate system, and β is the polar angle of the polar coordinate system.

[0039] The vortex profile is generated using the aforementioned baseline, calculated as follows:

[0040]

[0041] x p and y p , respectively, are the horizontal and vertical coordinates of the vortex curve in the polar coordinate system Ox.

[0042] x and y represent the x and y coordinates of the generated baseline in the polar coordinate system Ox, respectively:

[0043]

[0044] r o This indicates the radius of rotation of the rotating scroll disk.

[0045] n x With ny The x and y coordinates of the unit normal vector of a point on the generated baseline are respectively:

[0046]

[0047]

[0048] The spiral profile based on linear difference pitch algebraic spiral described in this invention includes a rotating spiral disk profile 202 and a non-rotating spiral disk profile 203, such as... Figures 3-4 As shown, the rotating scroll disk profile 202 and the non-rotating scroll disk profile 203 are identical and centrally symmetrically meshed, so that the rotating scroll disk completes a rotation radius r. o During translational motion, both rotating and non-rotating scroll disks can achieve the correct meshing relationship. Figure 4 The process of the rotating scroll disk profile 202 rotating clockwise and engaging with the non-rotating scroll disk profile 203 is shown.

[0049] This invention utilizes an algebraic spiral with linear difference pitch, expressed in polar coordinates, as the baseline for generating vortex profiles. By defining different algebraic spirals, significantly different vortex disk profiles can be generated, such as... Figure 5 As shown, by defining different point sets (θ) i ,k i This allows for flexible adjustment of the shape of the vortex profile; thus, the vortex profile generated by the design method described in this invention can flexibly adjust the variation law of the working volume cavity, the variation law of the leakage line length, and the variation law of the connection area with the intake and exhaust ports, thereby achieving flexible adjustment of the geometric performance of the profile and improving the mechanical and thermodynamic performance of the vortex.

[0050] Compared to existing technologies, the advantages are as follows: using an algebraic spiral with linear difference pitch expressed in polar coordinates as the baseline for generating the vortex profile, and defining different algebraic spirals, vortex disk profiles with significant differences can be generated. This allows for flexible adjustment of the volume working cavity variation law, the leakage line length variation law, and the connection area variation law with the intake and exhaust ports, thereby achieving flexible adjustment of the profile's geometric performance, improving the flexibility of vortex profile parameter design, expanding the parameter optimization space, and ultimately improving the thermodynamic performance of the vortex machinery.

[0051] The vortex profile based on the linear difference pitch algebraic spiral is designed using any of the vortex profile design methods based on the linear difference pitch algebraic spiral described above.

[0052] Scroll compressors, including scroll profiles based on linear difference pitch algebraic helices as described above.

[0053] Another embodiment of the present invention provides an air conditioner, including a scroll compressor as described above.

[0054] Another embodiment of the present invention provides an electronic device, such as... Figure 6 As shown, the device 6 includes a memory 61, a processor 62, and a computer program 63 stored in the memory 61 and executable on the processor 62. When the processor 62 executes the computer program 63, it implements some or all of the steps of the vortex profile design method based on the linear difference pitch algebraic helix described above.

[0055] Another embodiment of the present invention provides a computer-readable storage medium storing a computer program that, when executed by a processor, implements some or all of the steps of the vortex profile design method based on the linear difference pitch algebraic helix described above.

[0056] The embodiments of the present invention have been described in detail above. Specific examples have been used to illustrate the principles and implementation methods of the present invention. The description of the above embodiments is only for the purpose of helping to understand the method and core ideas of the present invention. At the same time, for those skilled in the art, there will be changes in the specific implementation methods and application scope based on the ideas of the present invention. Therefore, the content of this specification should not be construed as a limitation of the present invention.

Claims

1. A vortex profile design method based on linear difference pitch algebraic helix, characterized in that, include: The algebraic spiral with linear difference pitch is represented in polar coordinates. The algebraic spiral with linear difference pitch is used as the generation baseline, and a vortex-shaped line is generated based on the generation baseline. The algebraic helix representing the linear difference pitch in polar coordinates includes: selecting target points from the polar coordinate system to form a target point set based on the requirements of the intake / exhaust ratio and the working chamber volume ratio; defining a linear difference relationship based on the target point set; and solving for the algebraic helix of the linear difference pitch using the linear difference relationship, as shown in the following formula: , The polar radius of the polar coordinate system is... The polar angle of the polar coordinate system; The linear difference relationship is... , , Let be the target point set.

2. The spiral profile design method based on linear difference pitch algebraic spiral as described in claim 1, characterized in that, Both the generated baseline and the vortex profile are modified with circular arcs. The generated baseline has a first modified profile, and the vortex profile has a second modified profile. The first modified profile is a first circular arc, which is the arc that is tangent to the generated baseline at a first connection point. The second modified profile is a second circular arc, which is the arc that is tangent to the vortex profile at a second connection point. The first connection point is located on the generated baseline, and the second connection point is located on the vortex profile.

3. The spiral profile design method based on linear difference pitch algebraic spiral as described in claim 1, characterized in that, The vortex profile includes a rotating vortex disk profile and a non-rotating vortex disk profile. The rotating vortex disk profile and the non-rotating vortex disk profile are the same and are centrally symmetrically meshed.

4. The spiral profile design method based on linear difference pitch algebraic spiral as described in claim 1, characterized in that, The vortex profile is generated based on the baseline, and the calculation formula is as follows: ； and These represent the horizontal and vertical coordinates of the vortex-shaped curve in the polar coordinate system. and These represent the horizontal and vertical coordinates of the generated baseline in the polar coordinate system, respectively. Indicates the radius of rotation of the rotating scroll disk; and These represent the x and y coordinates of the unit normal vector of a point on the generated baseline, respectively. 。 5. The spiral profile design method based on linear difference pitch algebraic spiral as described in claim 4, characterized in that, The formulas for calculating the x and y coordinates of the unit normal vector of a point on the generated baseline are as follows: ； 。 6. A scroll compressor, characterized in that, This includes vortex profiles designed using the vortex profile design method based on linear difference pitch algebraic spirals as described in any one of claims 1 to 5.

7. An air conditioner, characterized in that, Including the scroll compressor as described in claim 6.

8. An electronic device, the device comprising a memory, a processor, and a computer program stored in the memory and running on the processor, characterized in that, When the processor executes the computer program, it implements the steps of the spiral profile design method based on linear difference pitch algebraic spiral as described in any one of claims 1 to 5.

9. A computer-readable storage medium storing a computer program, characterized in that, When the computer program is executed by the processor, it implements the steps of the spiral profile design method based on the linear difference pitch algebraic spiral as described in any one of claims 1 to 5.

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