CN113886905B - Braided shield cable design method, braided shield cable design device, braided shield cable design computer device and storage medium - Google Patents
Braided shield cable design method, braided shield cable design device, braided shield cable design computer device and storage medium Download PDFInfo
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- H01B11/00—Communication cables or conductors
- H01B11/02—Cables with twisted pairs or quads
- H01B11/06—Cables with twisted pairs or quads with means for reducing effects of electromagnetic or electrostatic disturbances, e.g. screens
- H01B11/08—Screens specially adapted for reducing cross-talk
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- H01B13/00—Apparatus or processes specially adapted for manufacturing conductors or cables
- H01B13/22—Sheathing; Armouring; Screening; Applying other protective layers
- H01B13/26—Sheathing; Armouring; Screening; Applying other protective layers by winding, braiding or longitudinal lapping
- H01B13/2606—Sheathing; Armouring; Screening; Applying other protective layers by winding, braiding or longitudinal lapping by braiding
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Abstract
The application relates to a woven shielded cable design method, a woven shielded cable design device, computer equipment and a storage medium. The method comprises the following steps: calculating according to structural parameters of the braided shielding cable to obtain a transfer impedance and parasitic parameter matrix of the braided shielding cable, wherein the structural parameters of the braided shielding cable comprise uncertainty parameters; establishing a crosstalk calculation function of the braided shielding cable according to the transfer impedance and the parasitic parameter matrix of the braided shielding cable; constructing a proxy model of a crosstalk calculation function of the braided shielding cable, wherein the proxy model comprises random input variables; and quantizing random input variables in the proxy model to obtain global sensitivity indexes of the random input variables. By adopting the method, the structure parameters of the proper braided shielding cable can be selected according to the global sensitivity index of each random input variable, and the electromagnetic compatibility design requirement of the braided shielding cable is met.
Description
Technical Field
The present application relates to the field of electromagnetic compatibility technologies, and in particular, to a method and apparatus for designing a braided shielding cable, a computer device, and a storage medium.
Background
The conventional technology has a disadvantage in electromagnetic compatibility design of the wire harness. Because of the complicated electromagnetic environment inside the device, device manufacturers often adopt special cables with strong electromagnetic compatibility as transmission lines, such as braided shielding cables and twisted pair cables, and the traditional method is mainly aimed at crosstalk analysis of bare wires, so that the problem of adopting special cable structures is not sufficiently solved; secondly, for uncertainty analysis of harness crosstalk, the conventional technology is to make a function of a distribution type for input variables, and in actual situations, the input variables may belong to multiple distribution types.
Current woven cable designs fail to meet electromagnetic compatibility design requirements.
Disclosure of Invention
In view of the foregoing, it is desirable to provide a braided shield cable design method, apparatus, computer device, and storage medium that can meet electromagnetic compatibility design requirements.
A method of designing a braided shielded cable, the method comprising:
Calculating according to structural parameters of the braided shielding cable to obtain a transfer impedance and parasitic parameter matrix of the braided shielding cable, wherein the structural parameters of the braided shielding cable comprise uncertainty parameters;
Establishing a crosstalk calculation function of the braided shielding cable according to the transfer impedance and the parasitic parameter matrix of the braided shielding cable;
constructing a proxy model of a crosstalk calculation function of the braided shielding cable, wherein the proxy model comprises random input variables, and the random input variables correspond to uncertainty parameters one by one;
And quantizing random input variables in the proxy model to obtain global sensitivity indexes of the random input variables, wherein the global sensitivity indexes are used for representing the crosstalk influence degree of uncertainty parameters corresponding to the random input variables on the braided shielding cable.
In one embodiment, the calculating the transfer impedance of the braided shielding cable according to the structural parameter of the braided shielding cable includes:
Calculating according to structural parameters of the braided shielding cable to obtain scattering impedance, small hole inductance, braided inductance and additional fluctuation effect of the braided shielding cable;
and calculating according to the scattering impedance, the small hole inductance, the braiding inductance and the extra fluctuation effect of the braided shielding cable to obtain the transfer impedance of the braided shielding cable.
In one embodiment, the parasitic parameter matrix of the braided shielding cable is calculated according to the structural parameter of the braided shielding cable, including:
Calculating to obtain a unit inductance matrix and a unit capacitance matrix of the braided shielding cable according to the structural parameters of the braided shielding cable;
And taking the unit inductance matrix and the unit capacitance matrix of the braided shielding cable as parasitic parameter matrices of the braided shielding cable.
In one embodiment, establishing a crosstalk calculation function of the braided shielded cable according to the transfer impedance and parasitic parameter matrix of the braided shielded cable includes:
according to the transfer impedance and parasitic parameter matrix of the braided shielding cable, the near-end crosstalk and the far-end crosstalk of the braided shielding cable are obtained by adopting transmission line theory calculation;
and establishing a crosstalk calculation function of the braided shielding cable according to the near-end crosstalk and the far-end crosstalk of the braided shielding cable.
In one embodiment, constructing a proxy model of a crosstalk calculation function for a braided shielded cable includes:
Obtaining a target cut-off order and a target sample size by using an error analysis method;
And constructing a proxy model of the crosstalk calculation function of the braided shielding cable by adopting a chaotic polynomial expansion method according to the target cutoff order and the target sample scale.
In one embodiment, obtaining the cutoff order and sample size using error analysis includes:
Acquiring a plurality of sample sizes and cut-off order intervals;
Calculating the minimum error value of each sample scale and the corresponding maximum truncated order in the truncated order interval by adopting an error analysis method;
And determining a target sample scale according to the minimum error value of each sample scale, and taking the maximum truncation order corresponding to the target sample scale as a target truncation order.
In one embodiment, the method comprises the steps of quantifying random input variables in the proxy model, and obtaining global sensitivity indexes of the random input variables, wherein the method further comprises the following steps:
determining a parameter range of each uncertainty parameter according to the global sensitivity index of each random input variable;
And carrying out electromagnetic compatibility design on the braided shielding cable according to the parameter range of each uncertainty parameter.
A braided shielded cable design device, the device comprising:
The parameter acquisition module is used for calculating and obtaining a transfer impedance and parasitic parameter matrix of the braided shielding cable according to the structural parameters of the braided shielding cable, wherein the structural parameters of the braided shielding cable comprise uncertainty parameters;
The function building module is used for building a crosstalk calculation function of the braided shielding cable according to the transfer impedance of the braided shielding cable and the parasitic parameter matrix;
the model construction module is used for constructing a proxy model of the crosstalk calculation function of the braided shielding cable, and the proxy model comprises random input variables which are in one-to-one correspondence with uncertainty parameters;
The quantization variable module is used for quantizing random input variables in the proxy model to obtain global sensitivity indexes of the random input variables, wherein the global sensitivity indexes are used for representing the crosstalk influence degree of uncertainty parameters corresponding to the random input variables on the braided shielding cable.
A computer device comprising a memory storing a computer program and a processor which when executing the computer program performs the steps of:
Calculating according to structural parameters of the braided shielding cable to obtain a transfer impedance and parasitic parameter matrix of the braided shielding cable, wherein the structural parameters of the braided shielding cable comprise uncertainty parameters;
Establishing a crosstalk calculation function of the braided shielding cable according to the transfer impedance and the parasitic parameter matrix of the braided shielding cable;
constructing a proxy model of a crosstalk calculation function of the braided shielding cable, wherein the proxy model comprises random input variables, and the random input variables correspond to uncertainty parameters one by one;
And quantizing random input variables in the proxy model to obtain global sensitivity indexes of the random input variables, wherein the global sensitivity indexes are used for representing the crosstalk influence degree of uncertainty parameters corresponding to the random input variables on the braided shielding cable.
A computer readable storage medium having stored thereon a computer program which when executed by a processor performs the steps of:
Calculating according to structural parameters of the braided shielding cable to obtain a transfer impedance and parasitic parameter matrix of the braided shielding cable, wherein the structural parameters of the braided shielding cable comprise uncertainty parameters;
Establishing a crosstalk calculation function of the braided shielding cable according to the transfer impedance and the parasitic parameter matrix of the braided shielding cable;
constructing a proxy model of a crosstalk calculation function of the braided shielding cable, wherein the proxy model comprises random input variables, and the random input variables correspond to uncertainty parameters one by one;
And quantizing random input variables in the proxy model to obtain global sensitivity indexes of the random input variables, wherein the global sensitivity indexes are used for representing the crosstalk influence degree of uncertainty parameters corresponding to the random input variables on the braided shielding cable.
According to the method, the device, the computer equipment and the storage medium for designing the braided shielding cable, the transfer impedance and the parasitic parameter matrix of the braided shielding cable are obtained through calculation according to the structural parameters of the braided shielding cable, and the structural parameters of the braided shielding cable comprise uncertainty parameters; establishing a crosstalk calculation function of the braided shielding cable according to the transfer impedance and the parasitic parameter matrix of the braided shielding cable; constructing a proxy model of a crosstalk calculation function of the braided shielding cable, wherein the proxy model comprises random input variables, and the random input variables correspond to uncertainty parameters one by one; and quantizing random input variables in the proxy model to obtain global sensitivity indexes of the random input variables, wherein the global sensitivity indexes are used for representing the crosstalk influence degree of uncertainty parameters corresponding to the random input variables on the braided shielding cable. And selecting the proper structural parameters of the braided shielding cable according to the global sensitivity index of each random input variable, so that the electromagnetic compatibility design requirement of the braided shielding cable can be met.
Drawings
FIG. 1 is an environmental diagram of the application of a method of designing a braided shielded cable in one embodiment;
FIG. 2 is a schematic diagram of a woven shielded cable crosstalk model in one embodiment;
FIG. 3 is a schematic view of a shielding layer deployment configuration of a braided shielded cable in one embodiment;
FIG. 4 is an enlarged schematic view of a diamond-shaped region of a woven layer in one embodiment;
FIG. 5 is a schematic diagram of the void structure of upper and lower braided wires in a braided layer according to one embodiment;
FIG. 6 is a graph of LOO error analysis error values for various sample sizes in one embodiment;
FIG. 7 is a graph of voltage mean contrast for near-end crosstalk for the PCE proxy model and MC method in one embodiment;
FIG. 8 is a graph of the standard deviation of near-end crosstalk voltage versus the PCE proxy model and MC method in one embodiment;
FIG. 9 is a graph of probability density function analysis versus one frequency bin for the PCE proxy model and MC method in one embodiment;
FIG. 10 is a graph of a probability density function analysis versus another frequency bin for a PCE proxy model and MC method in one embodiment;
FIG. 11 is a graph of global sensitivity index comparisons for computing various random input variables using MC and PCE-based Sobol global sensitivity analysis in one embodiment;
FIG. 12 is a graph of global sensitivity index comparisons for computing various random input variables using MC and PCE-based Sobol global sensitivity analysis in one embodiment;
FIG. 13 is a schematic diagram of the result of quantifying the impact of the PCE-based Sobol global sensitivity on the extent of each input variable on the [100Hz,100MHz ] band in one embodiment;
FIG. 14 is a block diagram of a braided shield cable design device according to one embodiment;
fig. 15 is an internal structural view of a computer device in one embodiment.
Detailed Description
The present application will be described in further detail with reference to the drawings and examples, in order to make the objects, technical solutions and advantages of the present application more apparent. It should be understood that the specific embodiments described herein are for purposes of illustration only and are not intended to limit the scope of the application.
In one embodiment, as shown in fig. 1, a method for designing a braided shielded cable is provided, and the embodiment is applied to a terminal for illustration by the method, it is understood that the method can also be applied to a server, and can also be applied to a system comprising the terminal and the server, and is implemented through interaction between the terminal and the server. In this embodiment, the method includes the steps of:
Step 102, calculating to obtain a transfer impedance and parasitic parameter matrix of the braided shielding cable according to structural parameters of the braided shielding cable, wherein the structural parameters of the braided shielding cable comprise uncertainty parameters.
The structural parameters include the inner diameter, braiding angle, braiding strand number of the whole braid structure, the number of metal wires contained in each strand of braided wire, the diameter of the metal wires constituting the braided wire, and the like of the braided shield cable.
Specifically, a transfer impedance and a parasitic parameter matrix of the braided shielding cable are obtained through calculation according to structural parameters of the braided shielding cable, the parasitic parameter matrix comprises a unit inductance matrix and a unit capacitance matrix of the braided shielding cable, and the structural parameters of the braided shielding cable comprise a plurality of uncertainty parameters and a plurality of fixed parameters.
And 104, establishing a crosstalk calculation function of the braided shielding cable according to the transfer impedance of the braided shielding cable and the parasitic parameter matrix.
Specifically, according to the transfer impedance and parasitic parameter matrix of the braided shielding cable, the near-end crosstalk and the far-end crosstalk of the braided shielding cable are obtained by adopting transmission line theory calculation, and a crosstalk calculation function of the braided shielding cable is built according to the near-end crosstalk and the far-end crosstalk of the braided shielding cable.
And 106, constructing a proxy model of the crosstalk calculation function of the braided shielding cable, wherein the proxy model comprises random input variables, and the random input variables correspond to uncertainty parameters one by one.
Specifically, a chaos polynomial expansion method (Polynomial Chaos Expansions, PCE) is adopted to construct a proxy model of a crosstalk calculation function of the braided shielded cable, and each uncertainty parameter is represented by a random input variable in the proxy model. The cut-off order and sample size of the proxy model were determined using error analysis (Leave-one-out, LOO).
And step 108, quantifying random input variables in the proxy model to obtain global sensitivity indexes of the random input variables, wherein the global sensitivity indexes are used for representing the crosstalk influence degree of uncertainty parameters corresponding to the random input variables on the braided shielding cable.
Specifically, by combining a chaos polynomial expansion method and a Sobol global sensitivity method based on variance decomposition, the random input variables in the proxy model are quantized to obtain global sensitivity indexes of the random input variables, the global sensitivity indexes are used for representing the crosstalk influence degree of uncertainty parameters corresponding to the random input variables on the braided shielding cable, and structural parameters of the braided shielding cable are set according to the global sensitivity indexes of the random input variables, so that the electromagnetic compatibility design requirements of the braided shielding cable can be met.
In the method for designing the braided shielding cable, the transfer impedance and the parasitic parameter matrix of the braided shielding cable are obtained through calculation according to the structural parameters of the braided shielding cable, wherein the structural parameters of the braided shielding cable comprise uncertainty parameters; establishing a crosstalk calculation function of the braided shielding cable according to the transfer impedance and the parasitic parameter matrix of the braided shielding cable; constructing a proxy model of a crosstalk calculation function of the braided shielding cable, wherein the proxy model comprises random input variables, and the random input variables correspond to uncertainty parameters one by one; and quantizing random input variables in the proxy model to obtain global sensitivity indexes of the random input variables, wherein the global sensitivity indexes are used for representing the crosstalk influence degree of uncertainty parameters corresponding to the random input variables on the braided shielding cable. And selecting the proper structural parameters of the braided shielding cable according to the global sensitivity index of each random input variable, so that the electromagnetic compatibility design requirement of the braided shielding cable can be met.
In one embodiment, the calculation of the transfer impedance of the braided shield cable based on the structural parameters of the braided shield cable includes: calculating according to structural parameters of the braided shielding cable to obtain scattering impedance, small hole inductance, braided inductance and additional fluctuation effect of the braided shielding cable; and calculating according to the scattering impedance, the small hole inductance, the braiding inductance and the extra fluctuation effect of the braided shielding cable to obtain the transfer impedance of the braided shielding cable.
Specifically, the transfer impedance Z T＝Zd+jω(Mh+Mb)+Me of the braided shield cable, where Z T is the transfer impedance, Z d is the scattering impedance, M h is the small hole inductance, M b is the braided inductance, and M e is the additional ripple effect.
Further, the scattering impedanceWherein d represents the braided wire diameter of the braided shield cable, C represents the number of braided strands of the braid, N represents the number of wires in the braided strands, σ represents the electrical conductivity of the braided material, α represents the braiding angle, δ represents the skin depth. Skin depth/>Where f is the frequency and μ is the permeability of the shielding layer material.
Further, the small hole inductanceWherein D m represents the diameter of the braided shielding cable, D m＝D0+2d+h,D0 represents the inner diameter of the braided shielding layer, and h represents the shadow height of the magnetic flux hinge of the inner and outer layers of the braided layer structure. The braiding pitches p and h can be calculated by the following binary equation set:
There is also a parameter b which represents the spacing between the two braids,/>
Further, the woven inductance M b is divided into two cases: when (when)Time,/> When/>Time,/>In the formula, the calculation formulas of the parameter B and the parameter A are as follows: v represents the number of small knitting holes per unit length,
Further, additional wave effectWhere ω is the angular frequency at the corresponding frequency.
In one embodiment, the parasitic parameter matrix of the braided shielded cable is calculated according to the structural parameter of the braided shielded cable, including: calculating to obtain a unit inductance matrix and a unit capacitance matrix of the braided shielding cable according to the structural parameters of the braided shielding cable; and taking the unit inductance matrix and the unit capacitance matrix of the braided shielding cable as parasitic parameter matrices of the braided shielding cable.
In particular, reference may be made to the calculation of bare wires for parasitic parameter matrices of braided shielded cables, which planes may be replaced by mirror currents when the wires lie above and parallel to the plane of infinite ideal conduction. Unit inductance matrix of braided shielding cableWherein/>
Further, a unit capacitance matrixWherein the method comprises the steps of Epsilon represents the relative dielectric constant. Taking the unit inductance matrix and the unit capacitance matrix of the braided shielding cable as parasitic parameter matrices of the braided shielding cable
In one embodiment, establishing a crosstalk calculation function for a braided shielded cable based on a transfer impedance and a parasitic parameter matrix of the braided shielded cable includes: according to the transfer impedance and parasitic parameter matrix of the braided shielding cable, the near-end crosstalk and the far-end crosstalk of the braided shielding cable are obtained by adopting transmission line theory calculation; and establishing a crosstalk calculation function of the braided shielding cable according to the near-end crosstalk and the far-end crosstalk of the braided shielding cable.
Specifically, after the parasitic parameter matrix and the transfer impedance of the braided shielding cable are calculated respectively, crosstalk can be calculated according to the transmission line theory. According to the second order ordinary differential equation of transmission line theory: in/>, above And/>Representing the transmission voltage and current matrix of the cable respectively,/>Is an impedance matrix of unit length,/>Is an admittance matrix per unit length. The principle of modulus decoupling is utilized for the second order ordinary differential equation, so that the principle of/>And/>Constitutive/>Transformation matrix of matrix/>And get diagonalization coefficient/>Thus, decoupling of the second-order equation is achieved.
Further, the terminal condition of the braided shield cable satisfies: in combination with the terminal conditions of the transmission line and using the chain parameter matrix to relate the voltage and current at the beginning to the voltage and current at L, this relationship can be expressed as: /(I) Bringing the above two termination conditions into this relationship can result in near-end crosstalk and far-end crosstalk of the braided-shielded cable:
wherein/> And V L are terminal source voltage and terminal voltage, respectively,/>For cable termination load impedance,/>Is the cable source impedance. And taking the near-end crosstalk and the far-end crosstalk of the obtained braided shielding cable as crosstalk calculation functions of the braided shielding cable.
In one embodiment, constructing a proxy model of a crosstalk calculation function for a braided shielded cable includes: obtaining a target cut-off order and a target sample size by using an error analysis method; and constructing a proxy model of the crosstalk calculation function of the braided shielding cable by adopting a chaotic polynomial expansion method according to the target cutoff order and the target sample scale.
Specifically, a PCE agent model which takes a crosstalk calculation function of a braided shielding cable as an original model is constructed by adopting a chaotic polynomial expansion method, and uncertainty parameters in original structural parameters are represented in the PCE agent model through a piece-following variable. The expansion of the PCE proxy model is:
Wherein, Hybrid orthogonal polynomial representing order n,/>Is a coefficient corresponding to the hybrid orthogonal polynomial. Phi i (ζ) is the product of one-dimensional orthogonal polynomial basis functions corresponding to the random input variables. According to the target cutoff order p, the PCE proxy model is cut off at the p-order, so the corresponding p-order PCE proxy model is expressed as: /(I)Meanwhile, the coefficient to be solved/>, in the p-order PCE agent modelNumber/> Where d represents the dimension of the model input.
Further, after the construction of the PCE proxy model of the braided shielding cable crosstalk calculation function is completed, the coefficients to be solved in the proxy model need to be solved. Polynomial coefficients of the PCE agent model are estimated using a least squares regression. According to the target sample size M, M effective samples are selected from the standard random spaceWherein/>For/>Then the effective sample selected from the standard random space is transformed into the original random space to obtain/>Then the original random space sample is brought back to the original braided shielding wire crosstalk calculation function to obtain the corresponding function response value/> And respectively bringing the sample and the function response value into the right end and the left end of the PCE agent model to obtain:
Can be abbreviated as: ac=g, and finally, calculating a PCE coefficient by using a linear minimum quadratic regression, where the calculation formula is as follows: c= (a TA)-1AT g. After the polynomial coefficients of the PCE proxy model of the crosstalk calculation function of the braided-shielded cable are obtained according to the above equation, the uncertainty information of the random output quantity can be further calculated, the mean and variance of the output variables can be expressed as E y=c 0,
In one embodiment, obtaining the cutoff order and sample size using error analysis includes: acquiring a plurality of sample sizes and cut-off order intervals; calculating the minimum error value of each sample scale and the corresponding maximum truncated order in the truncated order interval by adopting an error analysis method; and determining a target sample scale according to the minimum error value of each sample scale, and taking the maximum truncation order corresponding to the target sample scale as a target truncation order.
Specifically, a LOO error analysis method is adopted to select the target cut-off order and the target sample size of the PCE agent model. Firstly, setting a sample size to be verified and determining a cut-off order interval; then, calculating the minimum error value and the corresponding maximum truncated order of each sample scale for a plurality of times by using an LOO error analysis method in the truncated order interval; and finally, analyzing the minimum error value calculated for a plurality of times by each sample scale, selecting the optimal sample scale as a target sample scale, and taking the maximum truncation order corresponding to the target sample scale as a target truncation order.
Further, the error calculation formula of the LOO error analysis method is as follows: Wherein/> A response value of an ith sample calculated for the original model; /(I)The response value calculated by the agent model constructed after the sample point with the number i is removed is used as a training set; /(I)Is the expected value of the original model. And selecting the target cutoff order and the target sample size of the PCE agent model based on the LOO error analysis method.
In one embodiment, the method further comprises the steps of: determining a parameter range of each uncertainty parameter according to the global sensitivity index of each random input variable; and carrying out electromagnetic compatibility design on the braided shielding cable according to the parameter range of each uncertainty parameter.
Specifically, since the basis functions of the PCE proxy model have orthogonality, the Sobol global sensitivity decomposition is applied to expressions of near-end crosstalk and far-end crosstalk of the braided-shielded cable. The Sobol global first order sensitivity index based on the PCE proxy model can be calculated by the following equation: where c j denotes the coefficient of the polynomial comprising the j-th dimensional variable, and V denotes that the variance of the output variable is available according to the formula ac=g. The global sensitivity index may be calculated by: /(I) Wherein/>All coefficients of the polynomial containing the j-th dimensional variable are shown. Finally, the parameter range of each uncertainty parameter can be determined according to the global sensitivity index of each random input variable; and carrying out electromagnetic compatibility design on the braided shielding cable according to the parameter range of each uncertainty parameter.
In this embodiment, the parameter range of each uncertainty parameter is determined by the global sensitivity index according to each random input variable; and carrying out electromagnetic compatibility design on the braided shielding cable according to the parameter range of each uncertainty parameter, so that the braided shielding cable can meet the electromagnetic compatibility design requirement.
In one embodiment, a method for designing a braided shield cable is exemplified as a crosstalk model applied to a braided shield cable, and specifically includes:
The braided-shielded cable crosstalk model is shown in fig. 2, with the transmit and victim lines lying in the same plane parallel to the ground plane. The transmitting line is a bare wire without special structure, and has a voltage excitation source on the left side and a load impedance R 1 on the right side. There is a matching impedance R 2 and R 3 on the left and right sides of the victim line, respectively. There is a braided shield structure of length l S over the victim line, and both ends of the braided shield are ideally grounded. In fig. 2, the ground clearance of the disturbed line and the transmission line is h g, the radius of the bare wire in the transmission line structure is r w1, the radius of the core wire wrapped by the braided shielding layer on the disturbed line is r w2, and the distance between the transmission line and the disturbed line is S.
An expanded view of a shield layer of the braided shield cable is shown in fig. 3, and an enlarged view of one diamond-shaped region of the braid is shown in fig. 4. Wherein D 0 is the inner diameter of the braided shield wire structure, α is the braiding angle, C is the braiding yarn number of the whole braid structure, N is the number of metal wires contained in each braided wire, and D is the diameter of the metal wires constituting the braided wire. The transfer impedance of the shielding layer on the disturbed line can be calculated according to the parameters:
ZT＝Zd+jω(Mh+Mb)+Me (1)
Wherein Z T is the transfer impedance; z d represents a scattering impedance calculation formula, M h represents a small hole inductance, M b represents a braiding inductance, and Me represents an additional fluctuation effect.
The scattering impedance Z d is calculated as follows:
delta represents skin depth. Wherein the skin depth is calculated as follows:
Where f is the frequency and μ is the permeability of the shielding layer material.
The calculation formula of the small hole inductance M h is as follows:
Wherein D m represents the diameter of the braided shield cable, and the calculation formula is as follows:
Dm＝D0+2d+h (5)
since the upper and lower braiding wires have gaps due to the wrong entering and exiting of the braiding wires in the braiding layers as shown in fig. 5, h represents the shadow height of the flux hinge of the inner and outer layers of the braiding layer structure. The weaving pitches p and h can be calculated by the following binary equation set.
In equation (4) there is a parameter b which represents the spacing between the two woven strips. The calculation method is as follows:
The calculation formula of the woven inductance M b can be divided into two cases:
When (when) In the time-course of which the first and second contact surfaces,
When (when)In the time-course of which the first and second contact surfaces,
In the formula, the calculation formulas of the parameter B and the parameter A are as follows:
v represents the number of small knitting holes in unit length, and the calculation formula can be expressed as follows:
the calculation formula of the extra ripple effect M e is as follows:
ω is the angular frequency corresponding to the frequency.
For the parasitic parameter matrix of the braided shielded cable, reference may be made to the calculation method of bare wires, which may be replaced by mirror currents when the wires are located above and parallel to an infinitely ideal conductive plane. The unity inductance matrix L of the structure of fig. 2 is thus calculated as follows:
The unit capacitance matrix C is calculated as follows:
/>
where ε represents the relative permittivity. After the parasitic parameter matrix and the transfer impedance of the braided shielding cable are calculated respectively, crosstalk can be calculated according to the transmission line theory.
According to the transmission line theory, a decoupled second order ordinary differential equation:
In the above And/>Representing the transmission voltage and current matrix of the cable respectively,/>Is an impedance matrix of unit length,/>Is an admittance matrix per unit length. The idea of modulus decoupling is utilized for the second order ordinary differential equation, and the principle of/>And/>Constitutive/>Transformation matrix of matrix/>And diagonalizing it to obtain a diagonalization factor/>Thus, decoupling of the second-order equation is achieved.
The terminal condition of the braided shield cable satisfies the following formula:
As shown in fig. 2, it is possible to obtain:
In combination with the terminal conditions of the transmission line and using the chain parameter matrix to relate the voltage and current at the beginning to the voltage and current at L, this relationship can be expressed as:
bringing the terminal conditions into the above relation can result in:
The near-end crosstalk and the far-end crosstalk of the braided shielding cable can be obtained.
And constructing a PCE proxy model taking the woven shielding wire crosstalk calculation function as an original model. The expansion of the PCE is:
Wherein, Hybrid orthogonal polynomial representing order n,/>Is a coefficient corresponding to the hybrid orthogonal polynomial. Phi i (ζ) is the product of one-dimensional orthogonal polynomial basis functions corresponding to the random input variables. The PCE model is truncated at the p-order, usually in view of computation when building the proxy model, so the corresponding p-order PCE model is expressed as:
Meanwhile, coefficients to be solved in p-order PCE model The number Q of (2) can be calculated by the following formula:
Where d represents the dimension of the model input.
After the construction of the PCE agent model of the braided shielding wire crosstalk calculation function is completed, the coefficients to be solved in the agent model are required to be solved. The polynomial coefficients of the PCE are estimated using a minimum quadratic regression. The solution idea of the minimum quadratic regression estimation is specifically as follows: firstly, M effective samples are selected from standard random spaceWherein the method comprises the steps ofFor/>Then the effective sample selected from the standard random space is transformed into the original random space to obtainThen the original random space sample is brought back to the original braided shielding wire crosstalk calculation function to obtain the corresponding function response value/> And respectively bringing the sample and the function response value into the right end and the left end of the PCE model to obtain:
Can be abbreviated as:
Ac＝G (37)
and finally, solving a PCE coefficient by using linear least squares regression, wherein the calculation formula is as follows:
c＝(ATA)-1ATG (38)
And obtaining polynomial coefficients of a PCE agent model of the braided shielding wire crosstalk calculation function according to the formula, and then further calculating uncertain information of random output quantity. The mean and variance of the output variables can be expressed as:
E[Y]＝C0 (39)
in order to ensure the accuracy and the high efficiency of the PCE, a LOO error analysis method is adopted to select the cut-off order and the sample size of the PCE. Setting a sample size to be verified and determining a cut-off order interval; calculating the minimum error value and the corresponding maximum truncated order of each sample scale for a plurality of times by using an LOO error analysis method in the truncated order interval; and analyzing the minimum LOO error analysis method error value calculated for a plurality of times on each sample scale, and selecting the optimal sample scale.
The error calculation formula of the LOO error analysis method is as follows:
Wherein, A response value of an ith sample calculated for the original model; /(I)The response value calculated by the agent model constructed after the sample point with the number i is removed is used as a training set; /(I)Is the expected value of the original model.
And selecting the target cut-off order and the target sample size of the PCE agent model based on the error analysis. Since the basis function of the PCE has orthogonality, the global sensitivity decomposition of Sobol is applied to equation (23). Thus, the PCE-based Sobol global first order sensitivity index can be calculated by:
Where c j represents the coefficients of the polynomial that contains the j-th dimensional variable and V represents the variance of the output variable available according to equation (29). The global sensitivity index may be calculated by:
Wherein, All coefficients of the polynomial containing the j-th dimensional variable are shown.
In combination with the actual situation, all parameters involved in the braided shielded cable structure are divided into random input variables (i.e., uncertainty parameters) and fixed parameters. The braided shielding cable structure positioned at the infinite ground plane as shown in fig. 2 comprises six fixed parameters, wherein a braided bundle c=16 comprising a braided layer, the number of wires in the braided bundle is n=4, all resistors R 1＝R2＝R3 =50Ω in the figure, and the amplitude of an excitation source on a transmitting line is set to be 1V. The distribution of the random input variables is shown in table 1:
TABLE 1
According to the introduction method, combining the PCE method with the woven shielded wire crosstalk calculation function with the 8 random input variables to obtain a corresponding PCE agent model. The PCE cutoff order interval p= [1,2,3,4,5] and the sample size m= [100,200,300,400,500] to be verified are set, and the lo error analysis error values at the time of calculating each sample size by the equation (41) are calculated, and the calculation results are shown in fig. 6. It can be seen that extreme outliers tend to occur when the sample sizes are 100,200,300, and their quartile ranges are 8.5X10-4, 3X 10-4,7.7X 10-6, respectively; when the number of samples is 400 and 500, the quartile range is 4.08X10-6 and 4.72X10-6, respectively, and there is no outlier, the maximum cut-off at this time is 3. Therefore, the PCE agent model of the braided shielding cable crosstalk calculation function selects a 3-order cut-off order and a 400-sample size.
After determining the PCE proxy model, respectively calculating the mean value and standard deviation of near-end crosstalk voltage of the model in the frequency band [100Hz,100MHz ] by using a formula (39) and a formula (40), and comparing the uncertainty information calculated by the PCE proxy model with the uncertainty information calculated by the Monte Carlo Method (MC) on the original function to verify the correctness of the PCE method. In order to ensure that the MC method has high enough calculation accuracy, the calculation times are set to 10k times, and the analysis result pairs of the PCE proxy model and the MC method are shown in fig. 7 and 8, which are respectively a near-end crosstalk voltage mean value comparison chart and a near-end crosstalk voltage standard deviation comparison chart. The difference between the standard deviation and the mean calculated by the PCE and the result calculated by the MC is small. It can be seen that there is a high degree of accuracy in calculating the statistical moment using the PCE method in this model. Next, two frequency points are selected from the frequency band, the probability density functions of the frequency points are calculated by using an MC method and a PCE method, and comparison analysis is performed, and the comparison results are shown in fig. 9 and 10. From the analysis results, the probability density function of the near-end crosstalk voltage calculated based on the PCE method and the analysis results using the MC method are consistent. As can be seen from the comparison verification of the mean value, the standard deviation and the probability density function, the statistical characteristic parameters calculated by the PCE method and the MC method are basically the same, and the application precision of the PCE in the shielded wire random model is proved to meet the requirement. And PCE is also greatly enhanced over mature MC uncertainty analysis at runtime. Based on an Inter Core i5 processor (2.4 GHz) and an 8G running memory personal computer, the computation time of 10k probability density operations by using the MC method is 3398 seconds, and PCE computation of 3-order cut-off orders and 400 sampling points is 233 seconds, which is only 6.8% of the time required by the MC method. Therefore, when the PCE method is used for analyzing the crosstalk uncertainty problem of the braided shielding cable, the operation efficiency can be higher than that of the traditional MC method.
In order to more intuitively show the influence of each input variable on the crosstalk of the braided shielding cable in the [100Hz,100MHz ] frequency band, a PCE method is combined with a Sobol global sensitivity analysis method, and global sensitivity analysis is carried out on each input variable. First, the near-end crosstalk voltage is selected as the comparison data, and 100kHz is set as the comparison frequency. The global sensitivity index of each random input variable was calculated by MC method and Sobol global sensitivity analysis method based on PCE, respectively, and the calculation results thereof are shown in fig. 11 and 12. The global sensitivity index calculated based on the PCE at the frequency bin of 100kHz is substantially identical to that calculated based on the MC method. The calculation accuracy of the Sobol global sensitivity analysis based on the PCE in the woven shielding cable crosstalk calculation model is higher. Based on the conclusion, the influence degree of each input variable on the [100Hz,100MHz ] frequency band is quantified by applying the method, and the calculation result is shown in figure 13. By the method, the proper structural parameters of the braided shielding cable can be selected according to the influence degree of each input variable on the braided shielding cable, so that the braided shielding cable meets the design requirement of electromagnetic compatibility.
It should be understood that, although the steps in the flowchart of fig. 1 are shown in sequence as indicated by the arrows, the steps are not necessarily performed in sequence as indicated by the arrows. The steps are not strictly limited to the order of execution unless explicitly recited herein, and the steps may be executed in other orders. Moreover, at least a portion of the steps in fig. 1 may include a plurality of steps or stages, which are not necessarily performed at the same time, but may be performed at different times, and the order of the steps or stages is not necessarily sequential, but may be performed in rotation or alternatively with at least a portion of the steps or stages in other steps or other steps.
In one embodiment, as shown in fig. 14, there is provided a braided shielded cable design device 140 including: a parameter acquisition module 141, a function building module 142, a model building module 143, and a quantization variable module 144, wherein:
the parameter obtaining module 141 is configured to calculate, according to a structural parameter of the braided shielding cable, a transfer impedance and a parasitic parameter matrix of the braided shielding cable, where the structural parameter of the braided shielding cable includes an uncertainty parameter;
The function establishing module 142 is configured to establish a crosstalk calculation function of the braided shielding cable according to the transfer impedance and the parasitic parameter matrix of the braided shielding cable;
the model construction module 143 is used for constructing a proxy model of the crosstalk calculation function of the braided shielding cable, wherein the proxy model comprises random input variables, and the random input variables correspond to uncertainty parameters one by one;
The quantization variable module 144 is configured to quantize random input variables in the proxy model to obtain global sensitivity indexes of the random input variables, where the global sensitivity indexes are used to represent crosstalk influence degrees of uncertainty parameters corresponding to the random input variables on the braided shielding cable.
In one embodiment, the parameter obtaining module 141 is further configured to calculate, according to a structural parameter of the braided shielded cable, a scattering impedance, a hole inductance, a braiding inductance, and an additional ripple effect of the braided shielded cable; and calculating according to the scattering impedance, the small hole inductance, the braiding inductance and the extra fluctuation effect of the braided shielding cable to obtain the transfer impedance of the braided shielding cable.
In one embodiment, the parameter obtaining module 141 is further configured to calculate a unit inductance matrix and a unit capacitance matrix of the braided shielding cable according to the structural parameter of the braided shielding cable; and taking the unit inductance matrix and the unit capacitance matrix of the braided shielding cable as parasitic parameter matrices of the braided shielding cable.
In one embodiment, the function establishing module 142 is further configured to calculate, according to the transfer impedance and the parasitic parameter matrix of the braided-shielded cable, the near-end crosstalk and the far-end crosstalk of the braided-shielded cable by adopting transmission line theory; and establishing a crosstalk calculation function of the braided shielding cable according to the near-end crosstalk and the far-end crosstalk of the braided shielding cable.
In one embodiment, the model building module 143 is further configured to obtain the target cutoff order and the target sample size using an error analysis method; and constructing a proxy model of the crosstalk calculation function of the braided shielding cable by adopting a chaotic polynomial expansion method according to the target cutoff order and the target sample scale.
In one embodiment, the model building module 143 is further configured to obtain a plurality of sample sizes and cut-off order intervals; calculating the minimum error value of each sample scale and the corresponding maximum truncated order in the truncated order interval by adopting an error analysis method; and determining a target sample scale according to the minimum error value of each sample scale, and taking the maximum truncation order corresponding to the target sample scale as a target truncation order.
In one embodiment, the quantization variable module 144 is further configured to determine a parameter range for each uncertainty parameter based on a global sensitivity index for each random input variable; and carrying out electromagnetic compatibility design on the braided shielding cable according to the parameter range of each uncertainty parameter.
The specific limitation regarding the braided shield cable design device may be referred to as limitation of the braided shield cable design method hereinabove, and will not be described herein. The respective modules in the above-described braided shield cable design device may be implemented in whole or in part by software, hardware, and combinations thereof. The above modules may be embedded in hardware or may be independent of a processor in the computer device, or may be stored in software in a memory in the computer device, so that the processor may call and execute operations corresponding to the above modules.
In one embodiment, a computer device is provided, which may be a terminal, and an internal structure diagram thereof may be as shown in fig. 15. The computer device includes a processor, a memory, a communication interface, a display screen, and an input device connected by a system bus. Wherein the processor of the computer device is configured to provide computing and control capabilities. The memory of the computer device includes a non-volatile storage medium and an internal memory. The non-volatile storage medium stores an operating system and a computer program. The internal memory provides an environment for the operation of the operating system and computer programs in the non-volatile storage media. The communication interface of the computer device is used for carrying out wired or wireless communication with an external terminal, and the wireless mode can be realized through WIFI, an operator network, NFC (near field communication) or other technologies. The computer program is executed by a processor to implement a braided shielded cable design method. The display screen of the computer equipment can be a liquid crystal display screen or an electronic ink display screen, and the input device of the computer equipment can be a touch layer covered on the display screen, can also be keys, a track ball or a touch pad arranged on the shell of the computer equipment, and can also be an external keyboard, a touch pad or a mouse and the like.
It will be appreciated by those skilled in the art that the structure shown in fig. 15 is merely a block diagram of a portion of the structure associated with the present inventive arrangements and is not limiting of the computer device to which the present inventive arrangements are applied, and that a particular computer device may include more or fewer components than shown, or may combine certain components, or have a different arrangement of components.
In one embodiment, a computer device is provided, comprising a memory and a processor, the memory having stored therein a computer program, the processor implementing the steps of the braided shielded cable design method described above when the computer program is executed.
In one embodiment, a computer readable storage medium is provided having a computer program stored thereon, which when executed by a processor, implements the steps of the braided shielded cable design method described above.
In one embodiment, a computer program product is provided comprising a computer program which, when executed by a processor, implements the steps of the braided shielded cable design method described above.
Those skilled in the art will appreciate that implementing all or part of the above described methods may be accomplished by way of a computer program stored on a non-transitory computer readable storage medium, which when executed, may comprise the steps of the embodiments of the methods described above. Any reference to memory, storage, database, or other medium used in embodiments provided herein may include at least one of non-volatile and volatile memory. The nonvolatile Memory may include Read-Only Memory (ROM), magnetic tape, floppy disk, flash Memory, optical Memory, or the like. Volatile memory can include random access memory (Random Access Memory, RAM) or external cache memory. By way of illustration, and not limitation, RAM can be in various forms such as static random access memory (Static Random Access Memory, SRAM) or dynamic random access memory (Dynamic Random Access Memory, DRAM), etc.
The technical features of the above embodiments may be arbitrarily combined, and all possible combinations of the technical features in the above embodiments are not described for brevity of description, however, as long as there is no contradiction between the combinations of the technical features, they should be considered as the scope of the description.
The above examples illustrate only a few embodiments of the application, which are described in detail and are not to be construed as limiting the scope of the application. It should be noted that it will be apparent to those skilled in the art that several variations and modifications can be made without departing from the spirit of the application, which are all within the scope of the application. Accordingly, the scope of protection of the present application is to be determined by the appended claims.
Claims (7)
1. A method of designing a braided shielded cable, the method comprising:
calculating to obtain a transfer impedance and a parasitic parameter matrix of the braided shielding cable according to structural parameters of the braided shielding cable, wherein the structural parameters of the braided shielding cable comprise uncertainty parameters;
According to the transfer impedance and parasitic parameter matrix of the braided shielding cable, adopting transmission line theory to calculate and obtain near-end crosstalk and far-end crosstalk of the braided shielding cable; establishing a crosstalk calculation function of the braided shielding cable according to the near-end crosstalk and the far-end crosstalk of the braided shielding cable;
obtaining a target cut-off order and a target sample size by using an error analysis method; constructing a proxy model of a crosstalk calculation function of the braided shielding cable by adopting a chaotic polynomial expansion method according to the target cutoff order and the target sample scale; the agent model comprises random input variables, wherein the random input variables are in one-to-one correspondence with the uncertainty parameters;
Quantizing random input variables in the proxy model to obtain global sensitivity indexes of the random input variables, wherein the global sensitivity indexes are used for representing the crosstalk influence degree of uncertainty parameters corresponding to the random input variables on the braided shielding cable;
determining a parameter range of each uncertainty parameter according to the global sensitivity index of each random input variable; and carrying out electromagnetic compatibility design on the braided shielding cable according to the parameter range of each uncertainty parameter.
2. The method of claim 1, wherein calculating the transfer impedance of the braided shielded cable based on the structural parameters of the braided shielded cable comprises:
Calculating according to structural parameters of the braided shielding cable to obtain scattering impedance, small-hole inductance, braided inductance and additional fluctuation effect of the braided shielding cable;
And calculating the transfer impedance of the braided shielding cable according to the scattering impedance, the small hole inductance, the braided inductance and the extra fluctuation effect of the braided shielding cable.
3. The method of claim 1, wherein the calculating the parasitic parameter matrix of the braided shielded cable from the structural parameters of the braided shielded cable comprises:
Calculating to obtain a unit inductance matrix and a unit capacitance matrix of the braided shielding cable according to the structural parameters of the braided shielding cable;
and taking the unit inductance matrix and the unit capacitance matrix of the braided shielding cable as parasitic parameter matrices of the braided shielding cable.
4. The method of claim 1, wherein the obtaining the cutoff order and the sample size using error analysis comprises:
Acquiring a plurality of sample sizes and cut-off order intervals;
calculating the minimum error value and the corresponding maximum truncated order of each sample scale in the truncated order interval by adopting an error analysis method;
And determining a target sample scale according to the minimum error value of each sample scale, and taking the maximum cut-off order corresponding to the target sample scale as a target cut-off order.
5. A braided shielded cable design device, said device comprising:
the parameter acquisition module is used for calculating and obtaining a transfer impedance and parasitic parameter matrix of the braided shielding cable according to the structural parameters of the braided shielding cable, wherein the structural parameters of the braided shielding cable comprise uncertainty parameters;
The function building module is used for obtaining near-end crosstalk and far-end crosstalk of the braided shielding cable by adopting transmission line theory calculation according to the transfer impedance and parasitic parameter matrix of the braided shielding cable; establishing a crosstalk calculation function of the braided shielding cable according to the near-end crosstalk and the far-end crosstalk of the braided shielding cable;
The model construction module is used for acquiring a target cut-off order and a target sample size by utilizing an error analysis method; constructing a proxy model of a crosstalk calculation function of the braided shielding cable by adopting a chaotic polynomial expansion method according to the target cutoff order and the target sample scale; the agent model comprises random input variables, wherein the random input variables are in one-to-one correspondence with the uncertainty parameters;
the quantization variable module is used for quantizing random input variables in the proxy model to obtain global sensitivity indexes of the random input variables, wherein the global sensitivity indexes are used for representing the crosstalk influence degree of uncertainty parameters corresponding to the random input variables on the braided shielding cable; determining a parameter range of each uncertainty parameter according to the global sensitivity index of each random input variable; and carrying out electromagnetic compatibility design on the braided shielding cable according to the parameter range of each uncertainty parameter.
6. A computer device comprising a memory and a processor, the memory storing a computer program, characterized in that the processor implements the steps of the method of any of claims 1 to 4 when the computer program is executed.
7. A computer readable storage medium, on which a computer program is stored, characterized in that the computer program, when being executed by a processor, implements the steps of the method of any of claims 1 to 4.
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