A method and system for determining irregular plane sound field sound pressure level

Abstract

The application discloses a method and system for determining irregular plane sound field sound pressure level, and belongs to the technical field of plane sound source propagation calculation. The method comprises the following steps: determining a sound emitting body in a target transformer substation; determining the contour line of the surface plane of the sound emitting body for the sound emitting body; determining the contour line surrounding surface of the surface plane of the sound emitting body according to the contour line, and judging whether the contour line surrounding surface is irregular; if the contour line surrounding surface is irregular, the sound pressure level of the surface plane of the sound emitting body is obtained through an accurate integral solution method or a superposition method. The application can determine the sound pressure level of the surface of the sound emitting body with irregular shape in the transformer substation.

Description

Technical Field

[0001] This invention relates to the field of planar sound source propagation calculation technology, and more specifically, to a method and system for determining the sound pressure level of an irregular planar sound field. Background Technology

[0002] In the planning, design, and environmental impact assessment of ultra-high voltage (UHV) AC transmission and transformation projects, it is necessary to predict and calculate the acoustic environment impact of substations. Currently, design and environmental impact assessment units often use commercial noise prediction software such as SoundPLAN or Cadna / A to predict and calculate the acoustic environment of substations. However, these commercial software programs can only simply equate complex sound sources to point sources, surface sources, or line sources, and cannot create equivalent models based on the actual shape of the sound sources. The errors introduced by this inaccurate equivalent model result in a significant deviation between the near-field sound field calculated by commercial software and actual measurements. When calculating the noise distribution of UHV substations, the parallel reactors are located at the substation boundary. If the near-field sound field calculation is inaccurate, it will directly affect the planning and design of the substation, leading to substandard noise levels at the substation boundary after the project is put into operation, resulting in economic investment in subsequent noise control. Summary of the Invention

[0003] To address the above problems, this invention proposes a method for determining the sound pressure level of an irregular planar sound field, comprising:

[0004] Identify the sound-generating body in the target substation, and for the sound-generating body, determine the outline of the surface plane of the sound-generating body;

[0005] Based on the outline, determine the contour-enclosing surface of the sound-generating body surface, and determine whether the contour-enclosing surface is an irregular shape.

[0006] If the surface enclosed by the contour line is irregular in shape, the sound pressure level of the surface of the sound-generating body can be obtained by precise integration or superposition.

[0007] Optionally, if the surface enclosed by the contour line is irregular in shape and the irregular shape cannot be divided into regular shapes, the sound pressure level of the surface of the sound-generating body can be obtained by precise integration.

[0008] Optionally, if the surface enclosed by the contour line is an irregular shape, and the irregular shape can be divided into regular shapes, the sound pressure level of the surface of the sound-generating body can be obtained by superposition.

[0009] Optionally, obtaining the sound pressure level of the surface of the sound-generating body through exact integration specifically involves determining the sound pressure level at each point on the surface of the sound-generating body. The specific steps are as follows:

[0010] Let A be the planar region containing the irregular shape. Establish a spatial rectangular coordinate system with any point O in A as the origin, and select any point p(a, b, d) in the irregular shape.

[0011] Where (a, b, d) are the coordinates of p in the spatial rectangular coordinate system;

[0012] Determine the hemispherical wave radius r of any point m on the line enclosing p and the irregular shape;

[0013]

[0014] The sound pressure or sound intensity produced by plane A at point p is:

[0015]

[0016] Based on r, determine the sound pressure or sound intensity generated by A at p(a, b, d), where the sound pressure is equal to the sound intensity;

[0017] Based on the sound pressure and sound intensity, determine the sound pressure level generated by p(a, b, d).

[0018]

[0019] Where Im is the sound intensity at point m, (x, y) are the coordinates of point m, and L I This refers to the sound intensity level.

[0020] Optionally, obtaining the sound pressure level of the surface of the sound-generating body by superposition method specifically involves:

[0021] The irregular shape is divided into multiple regular shapes, the sound pressure level at any point in each regular shape is obtained, and the sound pressure level at any point in each regular shape is superimposed to obtain the sound pressure level at the surface of the sound-emitting body.

[0022] When segmenting to obtain multiple regular shapes, there is a circular surface sound source;

[0023] Taking the center of the circular surface sound source as the point, if the foot of the perpendicular p' of point p falls inside the circle, and the position of point p(a,b,d) is on the central axis of the circle, the sound pressure level can be calculated by referring to equation (4);

[0024]

[0025] When the sound source is a partial circle with a central angle of α, the sound pressure level at point p is calculated with reference to equation (5);

[0026]

[0027] If p' does not fall inside the circle, the sound pressure level at point p is calculated according to equation (6);

[0028]

[0029] In equations (4), (5), and (6) above, R is the radius of the circular sound source, d is the Z-axis coordinate of point p(a,b,d), and r0 is the distance from point p to the perpendicular line from the center of the circle.

[0030] When there is a triangular sound source in the segmented figure, the sound pressure level at point p is calculated according to equation (7);

[0031]

[0032] (7) In the formula, l is the average length of the two sides and α is the included angle between the two sides.

[0033] When there is a rectangular surface sound source in the segmented figure, take one of its vertices as the origin, let its length be L and its width be W, and the sound pressure level at any point p(a,b,d) in the sound field is calculated according to equation (8).

[0034]

[0035] The irregular planar sound source is divided into segments, and the sound pressure level of point p is calculated for each segmented regular shape. Finally, the segments are superimposed and calculated according to equation (9).

[0036]

[0037] Optionally, the regular shape includes: circle, triangle and rectangle.

[0038] The present invention also proposes a system for determining the sound pressure level of an irregular plane, comprising:

[0039] The contour line determination module determines the sound-generating body in the target substation and, for the sound-generating body, determines the contour line of the surface plane of the sound-generating body;

[0040] The shape determination module determines the contour line enclosing surface of the sound-emitting body surface based on the contour line, and determines whether the contour line enclosing surface is an irregular shape.

[0041] The sound pressure level determination module obtains the sound pressure level of the surface of the sound-generating body by means of precise integration or superposition if the contour line encloses an irregular shape.

[0042] Optionally, if the surface enclosed by the contour line is irregular in shape and the irregular shape cannot be divided into regular shapes, the sound pressure level of the surface of the sound-generating body can be obtained by precise integration.

[0043] Optionally, if the surface enclosed by the contour line is an irregular shape, and the irregular shape can be divided into regular shapes, the sound pressure level of the surface of the sound-generating body can be obtained by superposition.

[0044] Optionally, obtaining the sound pressure level of the surface of the sound-generating body through exact integration specifically involves determining the sound pressure level at each point on the surface of the sound-generating body. The specific steps are as follows:

[0045] Let A be the planar region containing the irregular shape. Establish a spatial rectangular coordinate system with any point O in A as the origin, and select any point p(a, b, d) in the irregular shape.

[0046] Where (a, b, d) are the coordinates of p in the spatial rectangular coordinate system;

[0047] Determine the hemispherical wave radius r of any point m on the line enclosing p and the irregular shape;

[0048]

[0049] The sound pressure or sound intensity produced by plane A at point p is:

[0050]

[0051]

[0052] Based on r, determine the sound pressure or sound intensity generated by A at p(a, b, d), where the sound pressure is equal to the sound intensity;

[0053] Based on the sound pressure and sound intensity, determine the sound pressure level generated by p(a, b, d).

[0054]

[0055] Where Im is the sound intensity at point m, (x, y) are the coordinates of point m, and L I This refers to the sound intensity level.

[0056] Optionally, obtaining the sound pressure level of the surface of the sound-generating body by superposition method specifically involves:

[0057] The irregular shape is divided into multiple regular shapes, the sound pressure level at any point in each regular shape is obtained, and the sound pressure level at any point in each regular shape is superimposed to obtain the sound pressure level at the surface of the sound-emitting body.

[0058] When segmenting to obtain multiple regular shapes, there is a circular surface sound source;

[0059] Taking the center of the circular surface sound source as the point, if the foot of the perpendicular p' of point p falls inside the circle, and the position of point p(a,b,d) is on the central axis of the circle, the sound pressure level can be calculated by referring to equation (4);

[0060]

[0061] When the sound source is a partial circle with a central angle of α, the sound pressure level at point p is calculated with reference to equation (5);

[0062]

[0063] If p' does not fall inside the circle, the sound pressure level at point p is calculated according to equation (6);

[0064]

[0065] In equations (4), (5), and (6) above, R is the radius of the circular sound source, d is the Z-axis coordinate of point p(a,b,d), and r0 is the distance from point p to the perpendicular line from the center of the circle.

[0066] When there is a triangular sound source in the segmented figure, the sound pressure level at point p is calculated according to equation (7);

[0067]

[0068] (7) In the formula, l is the average length of the two sides and α is the included angle between the two sides.

[0069] When there is a rectangular surface sound source in the segmented figure, take one of its vertices as the origin, let its length be L and its width be W, and the sound pressure level at any point p(a,b,d) in the sound field is calculated according to equation (8).

[0070]

[0071] The irregular planar sound source is divided into segments, and the sound pressure level of point p is calculated for each segmented regular shape. Finally, the segments are superimposed and calculated according to equation (9).

[0072]

[0073] Optionally, the regular shape includes: circle, triangle and rectangle.

[0074] This invention can determine the sound pressure level of the surface of irregularly shaped sound-generating bodies in substations. Attached Figure Description

[0075] Figure 1 This is a flowchart of the method of the present invention;

[0076] Figure 2 This is a schematic diagram of an irregular shape that cannot be divided into regular shapes, as involved in this invention.

[0077] Figure 3 This is a schematic diagram of the circle involved in the present invention;

[0078] Figure 4 This is a schematic diagram of the triangular coordinates of the present invention;

[0079] Figure 5 This is a rectangular schematic diagram related to the present invention;

[0080] Figure 6 This is a schematic diagram of an irregular shape that can be divided into regular shapes according to the present invention;

[0081] Figure 7 This is a structural diagram of the system of the present invention. Detailed Implementation

[0082] Exemplary embodiments of the invention will now be described with reference to the accompanying drawings. However, the invention may be embodied in many different forms and is not limited to the embodiments described herein. These embodiments are provided to fully and completely disclose the invention and to fully convey its scope to those skilled in the art. The terminology used in the exemplary embodiments illustrated in the drawings is not intended to limit the invention. In the drawings, the same units / elements are referred to by the same reference numerals.

[0083] Unless otherwise stated, the terms used herein (including technical terms) have their common meaning as understood by one of ordinary skill in the art. Furthermore, it is understood that terms defined in commonly used dictionaries should be understood to have a meaning consistent with the context of their relevant field, and not to be interpreted as having an idealized or overly formal meaning.

[0084] To address the above problems, this invention proposes a method for determining the sound pressure level of an irregular planar sound field, such as... Figure 1 As shown, it includes:

[0085] Identify the sound-generating body in the target substation, and for the sound-generating body, determine the outline of the surface plane of the sound-generating body;

[0086] Based on the outline, determine the contour-enclosing surface of the sound-generating body surface, and determine whether the contour-enclosing surface is an irregular shape.

[0087] If the surface enclosed by the contour line is irregular in shape, the sound pressure level of the surface of the sound-generating body can be obtained by precise integration or superposition.

[0088] The present invention will be further described below with reference to embodiments:

[0089] Identify the sound-generating body in the substation and determine the surface outline of the sound-generating body.

[0090] Determine whether the surface of the sound-producing body is composed of regular shapes based on the outline of the surface plane.

[0091] When an irregular shape cannot be divided into a regular shape, the exact integration method is used to solve the sound field.

[0092] When an irregular shape cannot be divided into regular shapes, such as Figure 2 As shown, let the planar region where it is located be A. With any point O in region A as the origin, establish a spatial rectangular coordinate system and select any point p(a,b,d) in the sound field of the planar sound source.

[0093] Let the interface sound pressure level Lpm at any point on the planar sound source be a function of the coordinates (x,y), i.e., Lpm = Lpm(x,y). Then the sound intensity Im at that point is also a function of the coordinates (x,y). Take a infinitesimal element ds that encloses point m. Within the infinitesimal element ds, the sound pressure level Lpm can be regarded as a constant, and its value is equal to Lpm(x,y) everywhere. Since this infinitesimal element is in a planar sound source A that can be regarded as an infinitely large baffle compared to its own size, the sound wave transmitted to point p is treated as a hemispherical wave.

[0094] The radius of the hemispherical wave propagating from m to p is:

[0095]

[0096] The sound pressure or sound intensity generated at point p in the entire plane A is:

[0097]

[0098] Under ideal conditions, the sound pressure level Lp and the sound intensity level LI are equal. Therefore, the sound level produced by the entire planar sound source at point p is:

[0099]

[0100] Equation (3) above is the solution for the sound pressure level of an irregularly shaped planar sound source at any point in the surrounding sound field.

[0101] When an irregular shape can be divided into regular shapes;

[0102] When an irregular shape can be divided into different regular shapes, such as circles, triangles, and rectangles, the irregular planar sound source can be segmented. The sound pressure level at point p can be calculated for each segmented regular shape, and then the results can be superimposed.

[0103] When there is a circular surface sound source in the segmented graphic, calculating the sound pressure level at point p requires considering whether the foot of the perpendicular p' of point p lies inside the circle. Figure 3 As shown.

[0104] Taking the center of the circular surface sound source as the point, if p' falls inside the circle and the position of point p(a,b,d) is on the central axis of the circle, the sound pressure level can be calculated by referring to equation (4) after derivation and demonstration.

[0105]

[0106] When the sound source is a partial circle with a central angle of α, the sound pressure level at point p is calculated with reference to equation (5).

[0107]

[0108] If the sound pressure level at point p does not fall within the circle, the sound pressure level at point p is calculated with reference to equation (6).

[0109]

[0110] In equations (4), (5), and (6) above, R is the radius of the circular sound source, d is the Z-axis coordinate of point p(a,b,d), and r0 is the distance from point p to the perpendicular line from the center of the circle.

[0111] When the segmented shape contains triangular sound sources, such as Figure 4 As shown, the sound pressure level at point p is calculated using equation (7).

[0112]

[0113] (7) In the formula, l is the average length of the two sides and α is the included angle between the two sides.

[0114] When the segmented graphic contains a rectangular surface sound source, such as Figure 5 As shown, with one of the vertices as the origin, let its length be L and its width be W. The sound pressure level at any point p(a,b,d) in the sound field is referenced to equation (8).

[0115]

[0116] Segmenting irregular planar sound sources, such as Figure 5 As shown, the sound pressure level at point p is calculated one by one after the regular shape is divided, and then the results are superimposed, as shown in equation (9).

[0117]

[0118] The present invention also proposes a system 200 for determining the sound pressure level of an irregular planar sound field, such as... Figure 7 As shown, it includes:

[0119] The contour line determination module 201 determines the sound-emitting body in the target substation and determines the contour line of the surface plane of the sound-emitting body for the sound-emitting body.

[0120] The shape judgment module 202 determines the contour line enclosing surface of the sound-emitting body surface plane based on the contour line, and determines whether the contour line enclosing surface is an irregular shape.

[0121] The sound pressure level determination module 203, if the contour line enclosing the surface is irregular in shape, obtains the sound pressure level of the surface of the sound-generating body by means of precise integration or superposition.

[0122] If the contour line encloses an irregular shape, and the irregular shape cannot be divided into a regular shape, the sound pressure level of the surface of the sound-generating body is obtained by the exact integration method.

[0123] If the contour line encloses an irregular shape, and the irregular shape can be divided into regular shapes, the sound pressure level of the surface of the sound-generating body can be obtained by superposition.

[0124] Specifically, obtaining the sound pressure level on the surface of the sound-generating body using the exact integration method involves determining the sound pressure level at each point on the surface of the sound-generating body. The specific steps are as follows:

[0125] Let A be the planar region containing the irregular shape. Establish a spatial rectangular coordinate system with any point O in A as the origin, and select any point p(a, b, d) in the irregular shape.

[0126] Where (a, b, d) are the coordinates of p in the spatial rectangular coordinate system;

[0127] Determine the hemispherical wave radius r of any point m on the line enclosing p and the irregular shape;

[0128] Based on r, determine the sound pressure or sound intensity generated by A at p(a, b, d), where the sound pressure is equal to the sound intensity;

[0129] Based on the sound pressure and sound intensity, determine the sound pressure level generated by p(a, b, d).

[0130] Specifically, obtaining the sound pressure level of the surface of the sound-generating body using the superposition method involves:

[0131] The irregular shape is divided into multiple regular shapes. The sound pressure level at any point in each regular shape is obtained. The sound pressure levels at any point in each regular shape are superimposed to obtain the sound pressure level at the surface of the sound-emitting body.

[0132] The regular shapes include: circles, triangles, and rectangles.

[0133] This invention can determine the sound pressure level of the surface of irregularly shaped sound-generating bodies in substations.

[0134] Those skilled in the art will understand that embodiments of this application can be provided as methods, systems, or computer program products. Therefore, this application can take the form of a completely hardware embodiment, a completely software embodiment, or an embodiment combining software and hardware aspects. Furthermore, this application can take the form of a computer program product implemented on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) containing computer-usable program code. The solutions in the embodiments of this application can be implemented in various computer languages, such as the object-oriented programming language Java and the interpreted scripting language JavaScript.

[0135] This application is described with reference to flowchart illustrations and / or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of this application. It will be understood that each block of the flowchart illustrations and / or block diagrams, and combinations of blocks in the flowchart illustrations and / or block diagrams, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, special-purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, generate instructions for implementing the flowchart... Figure 1 One or more processes and / or boxes Figure 1 A device that provides the functions specified in one or more boxes.

[0136] These computer program instructions may also be stored in a computer-readable storage medium that can direct a computer or other programmable data processing device to function in a particular manner, such that the instructions stored in the computer-readable storage medium produce an article of manufacture including instruction means, which are implemented in a process Figure 1 One or more processes and / or boxes Figure 1 The function specified in one or more boxes.

[0137] These computer program instructions may also be loaded onto a computer or other programmable data processing equipment to cause a series of operational steps to be performed on the computer or other programmable equipment to produce a computer-implemented process, thereby providing instructions that execute on the computer or other programmable equipment for implementing the process. Figure 1 One or more processes and / or boxes Figure 1 The steps of the function specified in one or more boxes.

[0138] Although preferred embodiments of this application have been described, those skilled in the art, upon learning the basic inventive concept, can make other changes and modifications to these embodiments. Therefore, the appended claims are intended to be interpreted as including the preferred embodiments as well as all changes and modifications falling within the scope of this application.

[0139] Obviously, those skilled in the art can make various modifications and variations to this application without departing from the spirit and scope of this application. Therefore, if such modifications and variations fall within the scope of the claims of this application and their equivalents, this application also intends to include such modifications and variations.

Claims

1. A method for determining the sound pressure level of an irregular planar sound field, the method comprising: Identify the sound-generating body in the target substation, and for the sound-generating body, determine the outline of the surface plane of the sound-generating body; Based on the outline, determine the contour-enclosing surface of the sound-generating body surface, and determine whether the contour-enclosing surface is an irregular shape. If the surface enclosed by the contour line is irregular in shape, the sound pressure level of the surface of the sound-generating body can be obtained by precise integration or superposition. The method of obtaining the sound pressure level on the surface of the sound-generating body by superposition is specifically as follows: The irregular shape is divided into multiple regular shapes, the sound pressure level at any point in each regular shape is obtained, and the sound pressure level at any point in each regular shape is superimposed to obtain the sound pressure level at the surface of the sound-emitting body. When segmenting to obtain multiple regular shapes, there is a circular surface sound source; Taking the center of the circular surface sound source as the point, if the foot of the perpendicular p' of point p falls inside the circle, and the position of point p(a,b,d) is on the central axis of the circle, the sound pressure level is calculated according to equation (4); （4） When the sound source is a partial circle with a central angle of α, the sound pressure level at point p is calculated with reference to equation (5); （5） If p' does not fall inside the circle, the sound pressure level at point p is calculated according to equation (6); （6） In equations (4), (5), and (6) above, R is the radius of the circular sound source, d is the Z-axis coordinate of point p(a,b,d), and r0 is the distance from point p to the perpendicular line from the center of the circle. When there is a triangular sound source in the segmented figure, the sound pressure level at point p is calculated according to equation (7); （7） (7) In the formula, l is the average length of the two sides, and β is the included angle between the two sides; When there is a rectangular surface sound source in the segmented figure, take one of its vertices as the origin, let its length be L and its width be W, and the sound pressure level at any point p(a,b,d) in the sound field is calculated according to equation (8). （8） The irregular planar sound source is divided into segments, and the sound pressure level of point p is calculated for each segmented regular shape. Finally, the segments are superimposed and calculated according to equation (9). （9）。 2. According to the method of claim 1, if the surface enclosed by the contour line is irregular in shape and the irregular shape cannot be divided into regular shapes, the sound pressure level of the surface of the sound-generating body is obtained by the exact integration method.

3. According to the method of claim 1, if the surface enclosed by the contour line is irregular in shape and the irregular shape can be divided into regular shapes, the sound pressure level of the surface of the sound-generating body is obtained by superposition method.

4. The method according to claim 2, wherein obtaining the sound pressure level of the surface plane of the sound-emitting body by precise integration specifically involves determining the sound pressure level at each point on the surface plane of the sound-emitting body, and the specific steps are as follows: Let A be the planar region containing the irregular shape. Establish a spatial rectangular coordinate system with any point O in A as the origin, and select any point p(a, b, d) in the irregular shape. in, (a, b, d) are the coordinates of p in the spatial rectangular coordinate system; Determine the hemispherical wave radius r of any point m on the line enclosing p and the irregular shape; （1） The sound pressure or sound intensity produced by plane A at point p is: （2） Based on r, determine the sound pressure or sound intensity generated by A at p(a, b, d), wherein the sound pressure is equal to the sound intensity; Based on the sound pressure and sound intensity, determine the sound pressure level generated by p(a, b, d). （3） Where Im is the sound intensity at point m, and (x, y) are the coordinates of point m. L I This refers to the sound intensity level.

5. The method according to claim 1, wherein the regular shape comprises: Circles, triangles, and rectangles.

6. A system for determining the sound pressure level of an irregular planar sound field, the system comprising: The contour line determination module determines the sound-generating body in the target substation and, for the sound-generating body, determines the contour line of the surface plane of the sound-generating body; The shape determination module determines the contour line enclosing surface of the sound-emitting body surface based on the contour line, and determines whether the contour line enclosing surface is an irregular shape. The sound pressure level determination module obtains the sound pressure level of the surface of the sound-generating body by means of precise integration or superposition if the contour line encloses an irregular shape. The method of obtaining the sound pressure level on the surface of the sound-generating body by superposition is specifically as follows: The irregular shape is divided into multiple regular shapes, the sound pressure level at any point in each regular shape is obtained, and the sound pressure level at any point in each regular shape is superimposed to obtain the sound pressure level at the surface of the sound-emitting body. When segmenting to obtain multiple regular shapes, there is a circular surface sound source; Taking the center of the circular surface sound source as the point, if the foot of the perpendicular p' of point p falls inside the circle, and the position of point p(a,b,d) is on the central axis of the circle, the sound pressure level is calculated according to equation (4); （4） When the sound source is a partial circle with a central angle of α, the sound pressure level at point p is calculated with reference to equation (5); （5） If p' does not fall inside the circle, the sound pressure level at point p is calculated according to equation (6); （6） In equations (4), (5), and (6) above, R is the radius of the circular sound source, d is the Z-axis coordinate of point p(a,b,d), and r0 is the distance from point p to the perpendicular line from the center of the circle. When there is a triangular sound source in the segmented figure, the sound pressure level at point p is calculated according to equation (7); （7） (7) In the formula, l is the average length of the two sides, and β is the included angle between the two sides; When there is a rectangular surface sound source in the segmented figure, take one of its vertices as the origin, let its length be L and its width be W, and the sound pressure level at any point p(a,b,d) in the sound field is calculated according to equation (8). （8） The irregular planar sound source is divided into segments, and the sound pressure level of point p is calculated for each segmented regular shape. Finally, the segments are superimposed and calculated according to equation (9). （9）。 7. In the system according to claim 6, if the contour line enclosing the surface is an irregular shape and the irregular shape cannot be divided into a regular shape, the sound pressure level of the surface of the sound-generating body is obtained by the exact integration method.

8. In the system according to claim 6, if the contour line enclosing the surface is an irregular shape, and the irregular shape can be divided into regular shapes, the sound pressure level of the surface of the sound-generating body is obtained by superposition method.

9. The system according to claim 7, wherein obtaining the sound pressure level of the surface plane of the sound-emitting body by the exact integration method specifically involves determining the sound pressure level at each point on the surface plane of the sound-emitting body, and the specific steps are as follows: Let A be the planar region containing the irregular shape. Establish a spatial rectangular coordinate system with any point O in A as the origin, and select any point p(a, b, d) in the irregular shape. in, (a, b, d) are the coordinates of p in the spatial rectangular coordinate system; Determine the hemispherical wave radius r of any point m on the line enclosing p and the irregular shape; （1） The sound pressure or sound intensity produced by plane A at point p is: （2） Based on r, determine the sound pressure or sound intensity generated by A at p(a, b, d), wherein the sound pressure is equal to the sound intensity; Based on the sound pressure and sound intensity, determine the sound pressure level generated by p(a, b, d). （3） Where Im is the sound intensity at point m, and (x, y) are the coordinates of point m. L I This refers to the sound intensity level.

10. The system according to claim 6, wherein the regular shape comprises: Circles, triangles, and rectangles.

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