A random laying cable crosstalk analysis method based on an improved random midpoint displacement method

Abstract

This invention provides a crosstalk analysis method for randomly laid cables based on an improved random midpoint displacement method, belonging to the technical field of crosstalk analysis methods. This invention generates continuous random cable paths by improving the random midpoint displacement method, avoiding the problem of discontinuous paths between adjacent beam segments in traditional cascade models. Simultaneously, by introducing attenuation factors and multi-layer random offset variables, the geometric randomness of the cable is directly mapped to midpoint displacement parameters during path evolution, thus more realistically reflecting the geometric changes characterized by strong end constraints and greater randomness in the middle during actual laying, and providing a more reliable geometric input basis for subsequent analysis. This method also has the advantages of clear parameterization, ease of batch generation of random path samples, and easy integration with subsequent simulation analysis processes, thus possessing good engineering applicability and promotional value.

Description

Technical Field

[0001] This invention relates to the technical field of crosstalk analysis methods, and more particularly to a crosstalk analysis method for randomly laid cables based on an improved random midpoint displacement method. Background Technology

[0002] With the increasing number of electronic devices in aircraft, ships, electric vehicles, and other highly integrated electrical platforms, the internal cabling of these systems is becoming increasingly dense. Under the constraints of limited installation space and complex structural boundaries, cables are typically laid close to structural boundaries, adjacent to each other, or even partially bundled, leading to enhanced electromagnetic coupling and more pronounced crosstalk problems. Therefore, establishing a model that accurately reflects the cable geometry and its stochastic variations during the cable laying design phase is crucial for improving the accuracy of electromagnetic compatibility design and operational reliability of complex electrical systems.

[0003] In existing technologies, a typical modeling method for describing the geometric randomness of cable laying is the stochastic cross-section model. The stochastic cross-section model can reflect geometric uncertainty to some extent by changing the relative positions of the cable at different cross-sections, but it focuses on random changes at the cross-sectional level and does not reflect the continuous transition along the length of the path. To characterize the continuous random fluctuations of the cable path, the stochastic midpoint displacement method (RMD) uses fractal curves to describe the spatial trajectory of the conductor, controlling the continuity of the conductor through the fractal dimension and the number of segments to approximate the actual distribution. However, this method only considers loose cable distribution and ignores the influence of ties on the cable distribution.

[0004] In recent years, the improved RMD method, which incorporates an attenuation factor, has gained increasing attention. The improved RMD method can construct cable distribution models that better reflect actual bundling characteristics; however, it only treats the offset of each segment as a random variable while fixing the attenuation factor, neglecting the uncertainty of the attenuation factor in actual engineering. Therefore, existing technologies for geometric modeling of randomly laid cables still suffer from the problems of simultaneously and accurately representing the continuity and randomness of the cable path, failing to fully reflect actual laying patterns, and providing highly reliable input for subsequent analysis. Based on this, it is necessary to propose a geometric uncertainty modeling method for randomly laid cables that can balance path continuity, modeling realism, and engineering applicability. Summary of the Invention

[0005] In view of the technical problems mentioned in the background section, this invention provides a method for analyzing crosstalk in randomly laid cables based on an improved random midpoint displacement method. This invention proposes a cable laying modeling method based on the improved random midpoint displacement method, which constructs a continuous geometric model of the cable path using a recursive fractal generation algorithm. This overcomes the path discontinuity problem existing when constructing cables using cascaded transmission line models, and achieves an accurate and continuous description of the randomness of the geometric parameters of the laid cables.

[0006] The technical means employed in this invention are as follows:

[0007] A method for analyzing crosstalk in randomly laid cables based on an improved random midpoint displacement method includes the following steps: S1. Predetermine the coordinates of the two endpoints of the cable to be modeled, use the two endpoints as the initial boundary constraints for generating the cable path, and determine the initial straight path of the cable based on the initial boundary constraints. S2. Obtain the initial midpoint between the two endpoints, apply a random offset to the initial midpoint, generate the first layer of cable path nodes, and complete the construction of the first generation of path nodes; S3. Introduce an attenuation control mechanism and set an attenuation factor less than 1 so that the amplitude of random disturbance gradually decreases as the recursive iteration level increases. S4. Based on the attenuation control mechanism, determine the allowable offset range of each level node, and randomly assign values ​​to all intermediate nodes generated in the current level to achieve controlled offset of nodes within a preset range. S5. Based on the path nodes generated at the current level, divide the path segments between adjacent nodes into intermediate nodes, repeatedly perform random offset perturbation operations in layers, and iteratively generate multi-generation cable path nodes until the preset number of iterations is completed. S6. After the iteration is completed, a continuous and smooth cable centerline with random fluctuation characteristics is generated, and an improved random cable laying model is constructed. S7. Based on the completed improved cable laying model, perform simulation analysis of cable crosstalk under random laying conditions.

[0008] Furthermore, in step S2, the two endpoints are set as follows: , , connect endpoints , Form the initial cable path and extract the midpoint of the initial path. Apply an offset to the midpoint C. Generate the first generation of cable path nodes. .

[0009] Furthermore, in step S3, the attenuation control mechanism employs an attenuation factor. Control the amplitude of the disturbance. The value range is (0,1); the random change applied to the midpoint of the nth generation. The calculation formula is: ; in, Indicates the first The base offset at the next iteration For iterative levels and It is a positive integer.

[0010] Furthermore, the first During the next iteration, the base offset It contains two offset values, and the offset modeling formula is: ; in, This is the preset maximum offset, which is the theoretical maximum offset of the cable node; Let represent a uniformly distributed random variable in the interval [-1, 1].

[0011] Furthermore, the iterative generation of multi-generation cable path nodes in step S5 includes the following steps: after completing the construction of the first-generation path node, the original path is divided into two sub-segments; for each sub-segment, midpoint extraction and random offset operations are performed to generate the second-generation path node; this operation is iterated repeatedly until the preset is completed. The next iteration.

[0012] Compared with the prior art, the present invention has the following advantages: Compared to existing technologies, this invention balances continuity, randomness, and realism in the geometric modeling of randomly laid cables within a unified framework. It generates continuous random cable paths through an improved random midpoint displacement method, avoiding the discontinuity problem of adjacent beam segments in traditional cascade models. Simultaneously, by introducing attenuation factors and multi-layered random offset variables, it directly maps the randomness of cable geometry to midpoint displacement parameters during path evolution, thus more realistically reflecting the geometric changes characterized by strong end constraints and greater randomness in the middle during actual laying, and providing a more reliable geometric input basis for subsequent analysis. This method also boasts advantages such as clear parameterization, ease of batch generation of random path samples, and seamless integration with subsequent simulation analysis processes, thus possessing excellent engineering applicability and widespread application value. Attached Figure Description

[0013] To more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0014] Figure 1 This is a schematic diagram of an existing cascaded cable model.

[0015] Figure 2 This is a block diagram of the cable laying model based on the random midpoint displacement method of the present invention.

[0016] Figure 3 This is the distribution of 50 randomly generated cable paths according to the present invention.

[0017] Figure 4 This is a schematic diagram of the cable model based on the improved random midpoint displacement method of the present invention. Detailed Implementation

[0018] 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.

[0019] It should be noted that the terms "first," "second," etc., in the specification, claims, and accompanying drawings of this invention are used to distinguish similar objects and are not necessarily used to describe a specific order or sequence. It should be understood that such data can be interchanged where appropriate so that the embodiments of the invention described herein can be implemented in orders other than those illustrated or described herein. Furthermore, the terms "comprising" and "having," and any variations thereof, are intended to cover a non-exclusive inclusion; for example, a process, method, system, product, or apparatus that comprises a series of steps or units is not necessarily limited to those steps or units explicitly listed, but may include other steps or units not explicitly listed or inherent to such processes, methods, products, or apparatus.

[0020] like Figures 1-4 As shown, this invention provides a method for analyzing crosstalk in randomly laid cables based on an improved random midpoint displacement method, comprising the following steps: S1. Predetermine the coordinates of the two endpoints of the cable to be modeled, use the two endpoints as the initial boundary constraints for generating the cable path, and determine the initial straight path of the cable based on the initial boundary constraints. S2. Obtain the initial midpoint between the two endpoints, apply a random offset to the initial midpoint, generate the first-layer cable path node, and complete the construction of the first-generation path node; set the two endpoints as follows: , , connect endpoints , Form the initial cable path and extract the midpoint of the initial path. Apply an offset to the midpoint C. Generate the first generation of cable path nodes. .

[0021] S3. Introduce an attenuation control mechanism, setting an attenuation factor less than 1 so that the amplitude of random disturbances gradually decreases as the recursive iteration level increases; the attenuation control mechanism uses an attenuation factor... Control the amplitude of the disturbance. The value range is (0,1); the random change applied to the midpoint of the nth generation. The calculation formula is: ; in, Indicates the first The base offset at the next iteration For iterative levels and It is a positive integer. The... During the next iteration, the base offset It contains two offset values, and the offset modeling formula is: ; in, This is the preset maximum offset, which is the theoretical maximum offset of the cable node; Let represent a uniformly distributed random variable in the interval [-1, 1].

[0022] S4. Based on the attenuation control mechanism, determine the allowable offset range of each level node, and randomly assign values ​​to all intermediate nodes generated in the current level to achieve controlled offset of nodes within a preset range. S5. Based on the path nodes generated at the current level, divide the path segments between adjacent nodes into intermediate nodes, and repeatedly perform random offset perturbation operations layer by layer to iteratively generate multiple generations of cable path nodes until a preset number of iterations is completed; the iterative generation of multiple generations of cable path nodes in step S5 includes the following steps: after completing the construction of the first generation of path nodes, divide the original path into two sub-segments; perform midpoint extraction and random offset operations on each sub-segment to generate the second generation of path nodes; iterate this operation repeatedly until a preset number of iterations is completed. The next iteration.

[0023] S6. After the iteration is completed, a continuous and smooth cable centerline with random fluctuation characteristics is generated, and an improved random cable laying model is constructed. S7. Based on the completed improved cable laying model, perform simulation analysis of cable crosstalk under random laying conditions.

[0024] Example 1 Considering the cable modeling problem under geometric uncertainties in cable laying, the cable laying modeling method based on the stochastic midpoint displacement method proposed in this invention is applied to... Figure 1 The invention presents an improved cascaded cable model and verifies its advantages over traditional cascaded models in terms of path continuity. In this embodiment, two cables are laid flat on an aluminum plate on the ground, each composed of two cascaded uniform transmission lines. The red line represents the signal line, and the green line represents the receiving line. The cable constructed using the cascaded transmission line model produces unnatural discontinuities between adjacent beam segments; therefore, the method of this invention is used to improve it.

[0025] During implementation, the coordinates of the two endpoints of the cable are first given. and The initial path is the path connecting the two endpoints. Then, the midpoint of the path connecting the two endpoints is taken. Apply an offset at this midpoint Generate the first generation of cable path nodes. This completes the construction of the first generation of cable path nodes.

[0026] After constructing the first-generation path nodes, the same operation is performed on each newly generated sub-path segment: the midpoint of each segment is extracted, and a new offset is applied to obtain the second-generation cable path nodes. This process is then recursively repeated until the nth-generation cable path nodes are generated. To make the generated random cables more consistent with actual distribution patterns and have better smoothness, an attenuation factor less than 1 is set in this embodiment. This causes the applied random change to decrease continuously with the increase of the number of iterations. The random change applied at the midpoint of the nth generation... Calculate according to formula (1): ; in, This is the offset at the nth iteration.

[0027] Furthermore, in this embodiment, the offset at the nth iteration have A value, from arrive Each offset is modeled as a random variable according to formula (2): (2) in, This represents the maximum offset, which is the theoretical maximum offset. Let represent a uniformly distributed random variable in the interval [-1, 1]. Equation (2) allows the midpoint of each generation to shift randomly within the corresponding allowable range, while also enabling... and The intensity of random fluctuations in the overall path is uniformly controlled.

[0028] After obtaining the first-generation path nodes, the original path is divided into two sub-segments. Then, the operation of "taking the midpoint and then applying a random offset" is repeated for each sub-segment to generate the second-generation path nodes. This process is repeated for new sub-segments between adjacent nodes until the nth iteration is completed. As the number of iterations increases, the number of path nodes gradually increases, the cable centerline becomes increasingly refined, and ultimately a continuous, smooth cable laying path with random fluctuations is formed. n After the nth iteration, the number of cable segments contained in the random cable path is This indicates that as the iteration level increases, the geometric details of the cable path can be progressively improved, thereby enhancing the model's ability to approximate the actual laying conditions.

[0029] By connecting all endpoints and midpoints of each generation in the order of the path, a continuous cable laying model based on the improved random midpoint displacement method can be obtained. Figure 3 This paper demonstrates the generation of 50 consecutive cable paths under the same conditions, each iterated through 10 random midpoints. It shows that when the cable endpoint coordinates are fixed, the cable paths generated using the random midpoint displacement method exhibit good continuity, and the distribution area forms a spindle shape. The cables within the laid cable are more densely packed near the endpoints and more loosely packed away from them, which matches the actual geometric characteristics of cable laying.

[0030] Based on the above random midpoint displacement process, Figure 1 The schematic diagram of the cable model obtained after improving the cascaded model is shown below. Figure 4As shown, the path trends and parameters of the signal and receiving lines are the same as in the cascaded model. It is evident that the random midpoint displacement method significantly overcomes the path discontinuity defect of the cascaded model. Following the above steps, those skilled in the art can construct a randomly laid cable model and further apply it to relevant scenarios.

[0031] The sequence numbers of the above embodiments of the present invention are for descriptive purposes only and do not represent the superiority or inferiority of the embodiments. In the above embodiments of the present invention, the descriptions of each embodiment have their own emphasis; parts not described in detail in a certain embodiment can be referred to in the relevant descriptions of other embodiments. It should be understood that the disclosed technical content in the several embodiments provided in this application can be implemented in other ways.

[0032] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention, and not to limit them; although the present invention has been described in detail with reference to the foregoing embodiments, those skilled in the art should understand that modifications can still be made to the technical solutions described in the foregoing embodiments, or equivalent substitutions can be made to some or all of the technical features; and these modifications or substitutions do not cause the essence of the corresponding technical solutions to deviate from the scope of the technical solutions of the embodiments of the present invention.

Claims

1. A method for analyzing crosstalk in randomly laid cables based on an improved random midpoint displacement method, characterized in that, Includes the following steps: S1. Predetermine the coordinates of the two endpoints of the cable to be modeled, use the two endpoints as the initial boundary constraints for generating the cable path, and determine the initial straight path of the cable based on the initial boundary constraints. S2. Obtain the initial midpoint between the two endpoints, apply a random offset to the initial midpoint, generate the first layer of cable path nodes, and complete the construction of the first generation of path nodes; S3. Introduce an attenuation control mechanism and set an attenuation factor less than 1 so that the amplitude of random disturbance gradually decreases as the recursive iteration level increases. S4. Based on the attenuation control mechanism, determine the allowable offset range of each level node, and randomly assign values ​​to all intermediate nodes generated in the current level to achieve controlled offset of nodes within a preset range. S5. Based on the path nodes generated at the current level, divide the path segments between adjacent nodes into intermediate nodes, repeatedly perform random offset perturbation operations in layers, and iteratively generate multi-generation cable path nodes until the preset number of iterations is completed. S6. After the iteration is completed, a continuous and smooth cable centerline with random fluctuation characteristics is generated, and an improved random cable laying model is constructed. S7. Based on the completed improved cable laying model, perform simulation analysis of cable crosstalk under random laying conditions.

2. The crosstalk analysis method for randomly laid cables based on the improved random midpoint displacement method according to claim 1, characterized in that, In step S2, the two endpoints are defined as follows: , , connect endpoints , Form the initial cable path and extract the midpoint of the initial path. Apply an offset to the midpoint C. Generate the first generation of cable path nodes. .

3. The crosstalk analysis method for randomly laid cables based on the improved random midpoint displacement method according to claim 1, characterized in that, In step S3, the attenuation control mechanism employs an attenuation factor. Control the amplitude of the disturbance. The value range is (0,1); the random change applied to the midpoint of the nth generation. The calculation formula is: ； in, Indicates the first The base offset at the next iteration For iterative levels and It is a positive integer.

4. The crosstalk analysis method for randomly laid cables based on the improved random midpoint displacement method according to claim 3, characterized in that, No. During the next iteration, the base offset It contains two offset values, and the offset modeling formula is: ； in, This is the preset maximum offset, which is the theoretical maximum offset of the cable node; Let represent a uniformly distributed random variable in the interval [-1, 1].

5. The crosstalk analysis method for randomly laid cables based on the improved random midpoint displacement method according to claim 1, characterized in that, The iterative generation of multi-generation cable path nodes in step S5 includes the following steps: After completing the construction of the first-generation path node, the original path is divided into two sub-segments; for each sub-segment, midpoint extraction and random offset operations are performed to generate the second-generation path node; this operation is iterated repeatedly until the preset is completed. The next iteration.

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