Variable cross-section multi-scroll wrap design method of scroll compressor and multi-scroll wrap

Abstract

The invention discloses a variable-cross-section multi-scroll-tooth design method of a scroll compressor. The method comprises the following steps: S1, constructing a scroll tooth profile equation; s2, constructing inner and outer wall molded line equations of the variable-section static single scroll wrap and the variable-section movable single scroll wrap; and S3, constructing a generatrix of the multi-vortex-wrap molded line. The invention further provides a variable cross-section two-scroll wrap and a variable cross-section three-scroll wrap. Compared with a variable cross-section single scroll wrap constructed by adopting a combined molded line, the design of the variable cross-section single scroll wrap is realized by only using one sine trigonometric function curve, and the problems that the combined molded line is complicated in design and the curve connection point is easy to suddenly change are solved; the limitation that the variable cross-section single scroll wrap must depend on the combined molded line structure in the traditional design is broken through, and a new choice is provided for the design of the variable cross-section single scroll wrap.

Description

Technical Field

[0001] The invention belongs to the technical field of scroll compressor engineering, and in particular relates to a design method for a variable-section multi-scroll tooth of a scroll compressor and a multi-scroll tooth. Background Art

[0002] As the core component of the air conditioning refrigeration system, the working state of the scroll compressor greatly affects the working performance of the entire refrigeration system. Therefore, reducing the power consumption of the compressor is of great significance to improving the performance of the air conditioning refrigeration system. In order to improve the working performance of the scroll compressor, domestic and foreign scholars have conducted a lot of research on the energy-consuming scroll teeth. Among them, the variable cross-section scroll teeth stand out due to their advantages such as small number of turns, short leakage line and high compression ratio, and have become an important research direction of scroll compressors in recent years.

[0003] However, the current design of variable cross-section scroll teeth still has two shortcomings: First, the scroll teeth are constructed by combined profiles, that is, they are spliced ​​by two or more curves, which not only increases the complexity of the design, but also easily produces geometric mutations at the curve connection points, affecting the meshing accuracy. Second, the dynamic and static scroll teeth involved in the meshing are all single teeth, resulting in a small number of compression chambers formed during the working process, which is not only not conducive to the uniform distribution of gas force, but may also aggravate the pressure difference between adjacent compression chambers, thereby affecting the smooth operation of the compressor. Summary of the invention

[0004] In view of the problems existing in variable-section vortex teeth, the present invention proposes a variable-section multi-vortex tooth design method for a scroll compressor, which constructs a variable-section single vortex tooth using a sine trigonometric function curve and increases the number of vortex teeth involved in meshing.

[0005] A method for designing a variable cross-section multi-scroll tooth of a scroll compressor comprises the following steps:

[0006] Step S1: Construct the scroll tooth profile equation:

[0007]

[0008] Where R s It is expressed in the form of sine trigonometric function, and R s With R g Satisfies the following relationship:

[0009]

[0010] In the formula, is the profile angle, is the terminal angle of the profile, C 0 , C 1 , A, ω are all constants;

[0011] Step S2: Construct the inner and outer wall profile equations of the static single scroll and the dynamic single scroll with variable cross-section:

[0012]

[0013] In the formula, R or is the radius of gyration, subscripts m and f represent the moving and stationary scroll teeth, respectively, and subscripts i and o represent the inner and outer walls of the scroll teeth, respectively;

[0014] Step S3: construct the generatrix of the multi-scroll tooth profile, the equation is:

[0015]

[0016] Where, j = 1, 2, 3, ..., n, respectively represents the 1st, 2nd, 3rd, ..., nth busbar, Z m is the number of teeth of the orbiting scroll, Z f is the number of teeth of the static scroll;

[0017] Step S4: Based on the generatrix equation of the volute profile, a stationary volute and a movable volute with variable cross-sections are constructed.

[0018] Beneficial effect: Compared with the variable-section single-volute gear with a combined profile structure, the present invention realizes the design of a variable-section single-volute gear with only one sinusoidal trigonometric function curve, overcoming the problems of complex combined profile design and easy mutations at the curve connection points, breaking the limitation that the variable-section single-volute gear in the traditional design must rely on the combined profile structure, and providing a new choice for the design of a variable-section single-volute gear.

[0019] Based on the sine trigonometric function curve, the present invention proposes a design method for variable cross-section multi-scroll teeth, which solves the problem of a small number of scroll teeth simultaneously meshing and an insufficient number of working chambers in traditional scroll compressors. The variable cross-section multi-scroll teeth designed by this method can significantly improve the force distribution of the scroll teeth, reduce the pressure difference between adjacent working chambers, and improve the efficiency of the compressor. At the same time, it lays a solid foundation for the development of scroll compressors in the direction of large air volume, high power and high speed, and has broad application prospects and engineering value. BRIEF DESCRIPTION OF THE DRAWINGS

[0020] Figure 1 Schematic diagram of a variable cross-section static single volute, wherein 111 is the inner wall profile of the static volute, and 112 is the outer wall profile of the static volute.

[0021] Figure 2 Schematic diagram of a variable cross-section moving single scroll gear, wherein 121 is the inner wall profile of the moving scroll gear, and 122 is the outer wall profile of the moving scroll gear.

[0022] Figure 3Schematic diagram of meshing of variable cross-section single-static scroll gears. 11 is a variable cross-section static scroll gear, and 12 is a variable cross-section dynamic scroll gear.

[0023] Figure 4 is a schematic diagram of the generatrix of the two vortex tooth profiles. 1 Indicates the first busbar, G 2 Indicates the second busbar, G 3 Indicates the third busbar, G 4 Indicates the 4th busbar.

[0024] Figure 5 It is a variable cross-section static two-volute gear. Among them, 11 is the inner wall profile of the first static volute, 12 is the outer wall profile of the first static volute, 21 is the inner wall profile of the second static volute, and 22 is the outer wall profile of the second static volute.

[0025] Figure 6 It is a variable cross-section movable scroll gear. Among them, 31 is the inner wall profile of the first movable scroll gear, 32 is the outer wall profile of the first movable scroll gear, 41 is the inner wall profile of the second movable scroll gear, and 42 is the outer wall profile of the second movable scroll gear.

[0026] Figure 7 The figure is a schematic diagram of the meshing of the variable cross-section dynamic and static scroll teeth. Among them, 1 is the first static scroll tooth with variable cross-section, 2 is the second static scroll tooth with variable cross-section; 3 is the first dynamic scroll tooth with variable cross-section, and 4 is the second dynamic scroll tooth with variable cross-section.

[0027] Figure 8 is a schematic diagram of the generatrix of the three-scroll tooth profile. 1 Indicates the first busbar, G 2 Indicates the second busbar, G 3 Indicates the third busbar, G 4 Indicates the fourth busbar, G 5 Indicates the 5th busbar, G 6 Indicates the 6th busbar.

[0028] Fig. 9 Schematic diagram of a variable cross-section static three-volute gear. Among them, 51 is the inner wall profile of the first static volute, 52 is the outer wall profile of the first static volute, 61 is the inner wall profile of the second static volute, 62 is the outer wall profile of the second static volute, 71 is the inner wall profile of the third static volute, and 72 is the outer wall profile of the third static volute. Fig.10 Schematic diagram of a variable cross-section movable three-volute gear. Among them, 81 is the inner wall profile of the first movable volute, 82 is the outer wall profile of the first movable volute, 91 is the inner wall profile of the second movable volute, 92 is the outer wall profile of the second movable volute, 101 is the inner wall profile of the third movable volute, and 102 is the outer wall profile of the third movable volute.

[0029] Fig.11 Schematic diagram of meshing of three variable-section dynamic and static scroll teeth. 5 is the first static scroll tooth with variable cross-section, 6 is the second static scroll tooth with variable cross-section, 7 is the third static scroll tooth with variable cross-section; 8 is the first dynamic scroll tooth with variable cross-section, 9 is the second dynamic scroll tooth with variable cross-section, and 10 is the third dynamic scroll tooth with variable cross-section. DETAILED DESCRIPTION

[0030] In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the following briefly introduces the drawings required for use in the embodiments. Obviously, the drawings described below are some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without creative work.

[0031] The variable cross-section multi-scroll tooth design method of the scroll compressor comprises the following steps:

[0032] Step S1: Construct the scroll tooth profile equation:

[0033]

[0034] Where R s It is expressed in the form of sine trigonometric function, and R s With R g Satisfies the following relationship:

[0035]

[0036] In the formula, is the profile angle, is the terminal angle of the profile, C 0 , C 1 , A, ω are all constants;

[0037] Step S2: Construct the inner and outer wall profile equations of the static single scroll and the dynamic single scroll with variable cross-section:

[0038]

[0039]

[0040] In the formula, R or is the radius of gyration, subscripts m and f represent the moving and stationary scroll teeth, respectively, and subscripts i and o represent the inner and outer walls of the scroll teeth, respectively;

[0041] According to formula (3), the variable cross-section static single volute can be obtained as follows: Figure 1 According to formula (4), the variable cross-section moving single scroll tooth can be obtained as follows: Figure 2 As shown. Figure 3Shown is the meshing diagram of the newly constructed variable-section dynamic single scroll gear and the static single scroll gear.

[0042] In order to design a variable cross-section scroll with multiple teeth for both the moving scroll and the stationary scroll by using a single sinusoidal trigonometric function curve, the generatrix of the multi-scroll profile is constructed, namely

[0043]

[0044] Where, j = 1, 2, 3, ..., n, respectively represents the 1st, 2nd, 3rd, ..., nth busbar, Z m is the number of teeth of the orbiting scroll, Z f is the number of teeth of the static scroll;

[0045] Step S4: Based on the generatrix equation of the volute profile, a stationary volute and a movable volute with variable cross-sections are constructed.

[0046] Take the variable cross-section two-scroll and three-scroll teeth as examples.

[0047] If you want to construct a two-scroll volute with a dynamic and static volute, you need 4 generatrixes. m =2, Z f =2. According to formula (5), the four generatrixes of the two-scroll tooth type are obtained, such as Figure 4 shown.

[0048] Based on the four generatrixes of the two volute profiles and combined with the meshing principle of the volute, the static two volutes and the dynamic two volutes with variable cross-sections can be designed, as follows:

[0049] Distance the first busbar outwards The inner wall profile of the first static scroll tooth is obtained, and its equation is:

[0050]

[0051] Distance the 4th busbar inwards The outer wall profile of the first static scroll tooth is obtained, and its equation is:

[0052]

[0053] Distance the third busbar outwards The inner wall profile of the second static scroll tooth is obtained, and its equation is:

[0054]

[0055] Distance the second busbar inwards The outer wall profile of the second static scroll tooth is obtained, and its equation is:

[0056]

[0057] Distance the second busbar outwards The inner wall profile of the first movable scroll tooth is obtained, and its equation is:

[0058]

[0059] Distance the first busbar inwards The outer wall profile of the first movable scroll tooth is obtained, and its equation is:

[0060]

[0061] Distance the 4th busbar outwards The inner wall profile of the second movable scroll tooth is obtained, and its equation is:

[0062]

[0063] Distance the third busbar inwards The outer wall profile of the second movable scroll tooth is obtained, and its equation is:

[0064]

[0065] According to equations (6) to (9), the variable cross-section static and two-scroll teeth are obtained as follows: Figure 5 As shown, according to equations (10) to (13), the variable cross-section moving two scroll teeth are obtained, as Figure 6 shown.

[0066] If you want to build a three-tooth dynamic and static scroll gear, you need 6 busbars, take Z m =3, Z f =3. According to formula (5), the six generatrixes of the three-scroll tooth profile are obtained, as follows: Figure 8 shown.

[0067] According to the generatrix of the three-scroll tooth profile and the principle of scroll tooth meshing, the static three-scroll tooth and the dynamic three-scroll tooth with variable cross-section are constructed, as follows:

[0068] Distance the first busbar outwards The inner wall profile of the first static scroll tooth is obtained, and its equation is:

[0069]

[0070] Distance the 6th busbar inwards The outer wall profile of the first static scroll tooth is obtained, and its equation is:

[0071]

[0072] Distance the third busbar outwards The inner wall profile of the second static scroll tooth is obtained, and its equation is:

[0073]

[0074] Distance the second busbar inwards The outer wall profile of the second static scroll tooth is obtained, and its equation is:

[0075]

[0076] Distance the 5th busbar outwards The inner wall profile of the third static scroll tooth is obtained, and its equation is:

[0077]

[0078] Distance the 4th busbar inwards The outer wall profile of the third static scroll tooth is obtained, and its equation is:

[0079]

[0080] Distance the second busbar outwards The inner wall profile of the first movable scroll tooth is obtained, and its equation is:

[0081]

[0082] Distance the first busbar inwards The outer wall profile of the first movable scroll tooth is obtained, and its equation is:

[0083]

[0084] Distance the 4th busbar outwards The inner wall profile of the second movable scroll tooth is obtained, and its equation is:

[0085]

[0086] Distance the third busbar inwards The outer wall profile of the second movable scroll tooth is obtained, and its equation is:

[0087]

[0088] Distance the 6th busbar outwards The inner wall profile of the third movable scroll tooth is obtained, and its equation is:

[0089]

[0090] Move the fifth busbar inwards equally The outer wall profile of the third movable scroll tooth is obtained, and its equation is:

[0091]

[0092] According to equations (14) to (19), the variable cross-section static three-scroll gear can be obtained as follows: Fig. 9 According to equations (20) to (25), the variable cross-section dynamic three-scroll gear can be obtained, as follows: Fig.10 As shown. Fig.11 Shown is the meshing diagram of the newly constructed variable-section dynamic three-scroll gear and the static three-scroll gear.

[0093] Similarly, if you need to design a variable cross-section dynamic and static scroll gear with four teeth, you need 8 busbars. In this case, take Z m =4, Z m =4; if you need to design a five-tooth variable cross-section dynamic and static scroll gear, you need 10 busbars. In this case, take Z m =5, Z m =5, and so on. Based on the above theory, variable-section dynamic multi-scroll teeth and static multi-scroll teeth with more teeth numbers can be designed.

[0094] What is disclosed above is only a preferred embodiment of the present invention, which certainly cannot be used to limit the scope of rights of the present invention. A person skilled in the art can understand that all or part of the processes of the above embodiments and equivalent changes made according to the claims of the present invention still fall within the scope of the invention.

Claims

1. A method for designing a variable cross-section multi-scroll tooth of a scroll compressor, characterized in that: The following steps are involved: Step S1: Construct the scroll tooth profile equation: Where R s It is expressed in the form of sine trigonometric function, and R s With R g Satisfies the following relationship: In the formula, is the profile angle, is the terminal angle of the profile, C0, C1, A, ω are all constants; Step S2: Construct the inner and outer wall profile equations of the static single scroll and the dynamic single scroll with variable cross-section: In the formula, R or is the radius of gyration, subscripts m and f represent the moving and stationary scroll teeth, respectively, and subscripts i and o represent the inner and outer walls of the scroll teeth, respectively; Step S3: construct the generatrix of the multi-scroll tooth profile, the equation is: Where, j = 1, 2, 3, ..., n, respectively represents the 1st, 2nd, 3rd, ..., nth busbar, Z m is the number of teeth of the orbiting scroll, Z f is the number of teeth of the static scroll; Step S4: Based on the generatrix equation of the volute profile, a stationary volute and a movable volute with variable cross-sections are constructed.

2. A variable cross-section multi-scroll gear, characterized in that: The inner wall profile equation of the first static scroll tooth is: The outer wall profile equation of the first static scroll is: The inner wall profile equation of the second static scroll tooth is: The outer wall profile equation of the second static scroll is: The inner wall profile equation of the first orbiting scroll is: The outer wall profile equation of the first orbiting scroll is: The inner wall profile equation of the second orbiting scroll is: The outer wall profile equation of the second orbiting scroll is:

3. A variable cross-section multi-scroll gear, characterized in that: The variable cross-section three-scroll tooth has an inner wall profile equation of the first static scroll tooth: The outer wall profile equation of the first static scroll is: The inner wall profile equation of the second static scroll tooth is: The outer wall profile equation of the second static scroll is: The inner wall profile equation of the third static scroll tooth is: The outer wall profile equation of the third static scroll tooth is: The inner wall profile equation of the first orbiting scroll is: The outer wall profile equation of the first orbiting scroll is: The inner wall profile equation of the second orbiting scroll is: The outer wall profile equation of the second orbiting scroll is: The inner wall profile equation of the third orbiting scroll is: The outer wall profile equation of the third orbiting scroll is:

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