Overhead line stress calculation method, system equipment and medium based on hyperbolic function method

Abstract

The application relates to an overhead line stress calculation method based on a hyperbolic function method, which comprises the following steps: constructing an overhead line stress state equation; calculating the value of an intermediate parameter through the overhead line stress state equation; when the intermediate parameter is greater than or equal to 0, converting the stress state equation into a hyperbolic sine function, further converting the hyperbolic sine function and obtaining a stress initial value, and then according to the stress initial value, using Newton's method to iteratively obtain a to-be-solved working condition stress value; when the intermediate parameter is less than 0, converting the stress state equation into a hyperbolic cosine function, further converting the hyperbolic cosine function and obtaining a stress initial value, and then according to the stress initial value, using Newton's method to iteratively obtain a to-be-solved working condition stress value.

Description

Technical Field

[0001] This invention relates to a method, system equipment, and medium for calculating overhead line stress based on the hyperbolic function method, belonging to the field of power facility parameter calculation technology. Background Technology

[0002] For overhead transmission lines, the stress is generally solved iteratively using the stress state equation, with Newton's method being the conventional approach. However, a drawback of Newton's method is that when the initial value is far from the actual solution, the iteration may not converge to the correct value. The conventional approach is to use Newton's downhill method, but this requires derivative analysis of the curve to determine the uphill or downhill direction. Summary of the Invention

[0003] To address the problems existing in the prior art, this invention proposes an overhead line stress calculation method, system equipment, and medium based on the hyperbolic function method. By combining the characteristics of overhead transmission line conductors, the initial value can be approximated to a relatively accurate range (with an error of about 1% compared to the precise value). This makes it easy to use Newton's method, ensuring convergence and reducing the number of iterations.

[0004] The technical solution of the present invention is as follows:

[0005] On the one hand, this invention proposes a method for calculating the stress of overhead power lines based on the hyperbolic function method, including the following steps:

[0006] The following stress state equation for overhead lines is constructed:

[0007]

[0008] Where, σ,σ m These represent the stress under the unknown working condition and the known control working condition stress, γ, γ m These are the load ratio under the unknown working condition and the load ratio under the known control condition, t, t m Let be the operating temperature to be determined and the known control operating temperature, respectively; α be the linear expansion coefficient of the wire; E be the elastic modulus of the wire; and L be the thermal expansion coefficient. p For gear distance, L i b and d are intermediate parameters, representing the horizontal distance between adjacent towers within the tension section.

[0009] Calculate the value of parameter b. When b≥0, transform the stress state equation into a hyperbolic sine function. Further transform the hyperbolic sine function and obtain the initial stress value. Then, use Newton's method to iteratively obtain the stress value of the working condition based on the initial stress value.

[0010] When b < 0, the stress state equation is transformed into a hyperbolic cosine function. The hyperbolic cosine function is further transformed and the initial stress value is obtained. Then, the stress value of the working condition is obtained iteratively using Newton's method based on the initial stress value.

[0011] In a preferred embodiment, the steps of transforming the stress state equation into a hyperbolic sine function, further transforming the hyperbolic sine function and obtaining the initial stress value, and then using Newton's method to iteratively obtain the stress value of the working condition based on the initial stress value are as follows:

[0012] make

[0013] Where b0 and q are both intermediate parameters;

[0014] The stress state equation for overhead power lines can be transformed into the following form using hyperbolic functions:

[0015]

[0016] make Determine the initial stress value σ0:

[0017] σ0=b·sinh 2 (t);

[0018] Then, substitute σ0 into the stress state equation of the overhead line and use Newton's iteration method to perform iterative iteration:

[0019]

[0020] Where i = 0, 1, 2, ..., n; when |σ i+1 -σ i The iteration ends when |<0.001, and the σ obtained at the end of the iteration is... i+1 The value is the stress σ under the working condition to be determined.

[0021] In a preferred embodiment, the steps of transforming the stress state equation into a hyperbolic cosine function, further transforming the hyperbolic cosine function and obtaining the initial stress value, and then using Newton's method to iteratively obtain the stress value of the working condition based on the initial stress value are as follows:

[0022] make

[0023] The stress state equation for overhead power lines can be transformed into the following form using hyperbolic functions:

[0024] cosh 6 (p)-cosh 4 (p)-q=0;

[0025] The above formula can be further transformed into the following form:

[0026] sinh2 (p)(sinh 2 (p)+1) 2 -q = 0;

[0027] Let m = sinh 2 (p), resulting in the following formula:

[0028] m(m+1) 2 -q = 0;

[0029] make Then use the following formula to solve for the initial value m0 of m:

[0030] m0 = sinh 2 (acosh(t));

[0031] The value of m can be solved iteratively using the following formula:

[0032]

[0033] Where i = 0, 1, 2, ..., n; when |m i+1 -m i The iteration ends when |<0.001, and the final m is recorded. f =m i+1 ;

[0034] The stress σ under the desired working condition can be solved using the following formula:

[0035]

[0036] On the other hand, the present invention also provides an overhead line stress calculation system based on the hyperbolic function method, comprising:

[0037] The stress state equation construction module is used to construct the stress state equation for overhead lines as follows:

[0038]

[0039] Where, σ,σ m These represent the stress under the unknown working condition and the known control working condition stress, γ, γ m These are the load ratio under the unknown working condition and the load ratio under the known control condition, t, t m Let be the operating temperature to be determined and the known control operating temperature, respectively; α be the linear expansion coefficient of the wire; E be the elastic modulus of the wire; and L be the thermal expansion coefficient. p For gear distance, L i b and d are intermediate parameters, representing the horizontal distance between adjacent towers within the tension section.

[0040] The value of parameter b is calculated. When b ≥ 0, the stress under the working condition to be determined is calculated through the first stress calculation module. When b < 0, the stress under the working condition to be determined is calculated through the second stress calculation module.

[0041] The first stress calculation module transforms the stress state equation into a hyperbolic sine function, further transforms the hyperbolic sine function and obtains the initial stress value, and then uses Newton's method to iteratively obtain the stress value of the working condition based on the initial stress value.

[0042] The second stress calculation module transforms the stress state equation into a hyperbolic cosine function, further transforms the hyperbolic cosine function and obtains the initial stress value, and then uses Newton's method to iteratively obtain the stress value of the working condition based on the initial stress value.

[0043] In a preferred embodiment, the first stress calculation module specifically involves the following steps: transforming the stress state equation into a hyperbolic sine function, further transforming the hyperbolic sine function to obtain the initial stress value, and then using Newton's method to iteratively obtain the stress value of the working condition based on the initial stress value.

[0044] make

[0045] Where b0 and q are both intermediate parameters;

[0046] The stress state equation for overhead power lines can be transformed into the following form using hyperbolic functions:

[0047] sinh 6 (p)-sinh 4 (p)-q=0;

[0048] make Determine the initial stress value σ0:

[0049] σ0=b·sinh 2 (t);

[0050] Then, substitute σ0 into the stress state equation of the overhead line and use Newton's iteration method to perform iterative iteration:

[0051]

[0052] Where i = 0, 1, 2, ..., n; when |σ i+1 -σ i The iteration ends when |<0.001, and the σ obtained at the end of the iteration is... i+1 The value is the stress σ under the working condition to be determined.

[0053] In a preferred embodiment, the second stress calculation module specifically involves the following steps: transforming the stress state equation into a hyperbolic cosine function, further transforming the hyperbolic cosine function to obtain the initial stress value, and then using Newton's method to iteratively calculate the stress value of the working condition based on the initial stress value.

[0054] make

[0055] The stress state equation for overhead power lines can be transformed into the following form using hyperbolic functions:

[0056] cosh 6 (p)-cosh 4 (p)-q=0;

[0057] The above formula can be further transformed into the following form:

[0058] sinh 2 (p)(sinh 2 (p)+1) 2 -q = 0;

[0059] Let m = sinh 2 (p), resulting in the following formula:

[0060] m(m+1) 2 -q = 0;

[0061] make Then use the following formula to solve for the initial value m0 of m:

[0062] m0 = sinh 2 (acosh(t));

[0063] The value of m can be solved iteratively using the following formula:

[0064]

[0065] Where i = 0, 1, 2, ..., n; when |m i+1 -m i The iteration ends when |<0.001, and the final m is recorded. f =m i+1 ;

[0066] The stress σ under the desired working condition can be solved using the following formula:

[0067]

[0068] In another aspect, the present invention also proposes an electronic device, including a memory, a processor, and a computer program stored in the memory and executable on the processor. When the processor executes the program, it implements the overhead line stress calculation method based on the hyperbolic function method as described in any embodiment of the present invention.

[0069] Furthermore, the present invention also proposes a computer-readable storage medium storing a computer program thereon, which, when executed by a processor, implements the overhead line stress calculation method based on the hyperbolic function method as described in any embodiment of the present invention.

[0070] The present invention has the following beneficial effects:

[0071] 1. This invention provides a method for calculating stress in overhead lines based on the hyperbolic function method. By utilizing the trigonometric-like properties of the hyperbolic function, the stress state equation is transformed from a cubic equation to a sixth-order hyperbolic sine or sixth-order hyperbolic cosine equation. Although the order increases, the accuracy of the initial stress value can be improved due to the utilization of its special properties.

[0072] 2. This invention provides a method for calculating overhead line stress based on the hyperbolic function method. It applies hyperbolic sine function, hyperbolic cosine function, inverse hyperbolic sine function, and inverse hyperbolic cosine function. These functions are already fixed in scientific calculators, spreadsheets, and general computer languages ​​as common and easy-to-solve functions, and are relatively easy to obtain. Attached Figure Description

[0073] Figure 1 This is a schematic diagram of the method flow according to an embodiment of the present invention. Detailed Implementation

[0074] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. 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 are within the scope of protection of the present invention.

[0075] It should be understood that the step numbers used in the text are for ease of description only and are not intended to limit the order in which the steps are performed.

[0076] It should be understood that the terminology used in this specification is for the purpose of describing particular embodiments only and is not intended to limit the invention. As used in this specification and the appended claims, the singular forms “a,” “an,” and “the” are intended to include the plural forms unless the context clearly indicates otherwise.

[0077] The terms “comprising” and “including” indicate the presence of the described feature, whole, step, operation, element and / or component, but do not exclude the presence or addition of one or more other features, wholes, steps, operations, elements, components and / or collections thereof.

[0078] The term “and / or” refers to any combination of one or more of the associated listed items, as well as all possible combinations, and includes these combinations.

[0079] Example 1:

[0080] See Figure 1 This embodiment proposes a method for calculating the stress of overhead lines based on the hyperbolic function method. Given the parameters of the line stress state equation, the method provided in this embodiment can be used to calculate the stress in the tension section. The method specifically includes the following steps:

[0081] S100, construct the following stress state equation for overhead lines:

[0082]

[0083] Where, σ,σ m These represent the stress under the unknown working condition and the known control working condition stress, respectively, in MPa.

[0084] γ,γ m These represent the specific load under the unknown working condition and the specific load under the known control working condition, respectively, in N / (m·mm). 2 );

[0085] t,t m These are the operating temperature to be determined and the known control operating temperature, respectively, in °C.

[0086] α is the linear expansion coefficient of the wire, with units of 1 / ℃;

[0087] E is the elastic modulus of the electrical wire, measured in MPa or N / mm². 2 ;

[0088] L p This refers to the running span, measured in meters (m).

[0089] in, L i This refers to the horizontal distance between adjacent towers within the tension section;

[0090] Both b and d are intermediate parameters used to facilitate calculations and can be converted into known parameters.

[0091] S200. Calculate the value of parameter b. When b ≥ 0, calculate the stress of the working condition to be determined according to the following steps:

[0092] S201, Order

[0093] Where b0 and q are both intermediate parameters;

[0094] S202. The stress state equation for overhead power lines is transformed into the following form using hyperbolic functions:

[0095] sinh 6 (p)-sinh 4 (p)-q=0 (Equation 2)

[0096] S203, Order Determine the initial stress value σ0:

[0097] σ0=b·sinh 2 (t);

[0098] S204. Substitute σ0 into the stress state equation of the overhead line (Equation 1) and use Newton's iteration method to perform iterative iteration:

[0099]

[0100] Where i = 0, 1, 2, ..., n; when |σ i+1 -σ i The iteration ends when | < 0.001, and the final value σ at the end of the iteration is obtained from Equation 3. i+1 This is the stress σ under the working condition to be determined.

[0101] S300, When b < 0, calculate the stress of the working condition as follows:

[0102] S301, Order

[0103] S302. The stress state equation for overhead power lines is transformed into the following form using hyperbolic functions:

[0104] cosh 6 (p)-cosh 4 (p)-q=0 (Equation 4)

[0105] The above formula can be further transformed into the following form:

[0106] sinh 2 (p)(sinh 2 (p)+1) 2 -q=0 (Equation 5)

[0107] Let m = sinh 2 (p), thus obtaining equation 6:

[0108] m(m+1) 2 -q=0 (Equation 6)

[0109] S303, Order Then use Equation 7 to solve for the initial value m0 of m:

[0110] m0 = sinh 2 (acosh(t))(Equation 7)

[0111] S304. Reuse Equation 8 to iteratively solve for the value of m:

[0112]

[0113] Where i = 0, 1, 2, ..., n; when |m i+1 -m i The iteration ends when |<0.001, and the final m is recorded. f =m i+1 ;

[0114] S350, Solve for the stress σ under the desired working condition using the following formula:

[0115]

[0116] In the above embodiments, sinh(), cosh(), asinh(), and acosh() represent hyperbolic sine, hyperbolic cosine, inverse hyperbolic sine, and inverse hyperbolic cosine functions, respectively. These functions are already fixed in scientific calculators, spreadsheets, and general computer languages ​​as common and easy-to-solve functions, and are relatively easy to obtain. In this embodiment, in steps S202 and S302, the trigonometric-like properties of hyperbolic functions are used to transform the stress state equation from a cubic equation to a sixth-order hyperbolic sine or sixth-order hyperbolic cosine equation. Although the degree increases, the accuracy of the initial stress value can be improved due to the utilization of its special properties.

[0117] According to tests, the calculation accuracy of the method provided in this embodiment is the same as that of Newton's method. Due to the use of special steps to narrow the range of initial values, the number of iterations of Newton's method can be effectively reduced in most cases.

[0118] This invention is mainly used to calculate the stress of conductors or ground wires during the construction drawing design stage, and is applicable to all voltage levels. After trial calculations, in most cases, the error between the estimated initial stress value and the accurate value is within 1%. If the construction error of 2.5% is considered, under complex field conditions such as construction sites, if there is no calculation program, a calculator can be used directly for calculation, which can improve the designer's calculation ability on the construction site.

[0119] To demonstrate the effectiveness and superiority of the calculation method proposed in this embodiment, a specific application example is provided below:

[0120] For a certain railway line, after preliminary processing, the values ​​of b and d for two tension sections under known control conditions and unknown high-temperature conditions are b1 = 192, d1 = 649000 and b2 = -19.2, d2 = 649000, respectively. Calculate the stress values ​​of these two tension sections under high-temperature conditions.

[0121] For tension section 1, b1 > 0, it can be calculated using step S200. The calculation results are shown in the table below:

[0122]

[0123]

[0124] σ0=192·sinh 2 (0.49685) = 192 × 0.267854 = 51.4279

[0125] 0.55028 0.49685 51.42779 0th time -0.36％ 51.61484 1st time 0.00％ 51.61440 2nd time 0.00％ 51.61440 3rd 0.00％

[0126] Since b2 < 0 for tension section 2, it can be calculated using step S300. The calculation results are shown in the table below:

[0127] 1.426441 3.848841 1.96185 1.426441 93.09774 0th time 0.404％ 3.868614 1.96688 1.428725 93.47739 1st time -0.002％ 3.868528 1.96686 1.428715 93.47573 2nd time 0.000％ 3.868528 1.96686 1.428715 93.47573 3rd 0.000％

[0128] As can be seen from the two tables above, the error of the formula is within 0.5% before iteration, which can basically meet the requirements of engineering construction conditions. For more stringent requirements (such as load calculation and cross-span verification), one more iteration is sufficient to meet the requirements.

[0129] The method proposed in this embodiment, given the known parameters, makes full use of the properties of hyperbolic functions and the characteristics of overhead line parameters, and provides specific stress calculation steps and methods. It is very convenient whether calculated manually or using spreadsheets, and therefore the application effect is very significant.

[0130] Example 2:

[0131] This embodiment proposes an overhead line stress calculation system based on the hyperbolic function method, including:

[0132] The stress state equation construction module is used to construct the stress state equation for overhead lines as follows:

[0133]

[0134] Where, σ,σ m These represent the stress under the unknown working condition and the known control working condition stress, γ, γ m These are the load ratio under the unknown working condition and the load ratio under the known control condition, t, t m Let be the operating temperature to be determined and the known control operating temperature, respectively; α be the linear expansion coefficient of the wire; E be the elastic modulus of the wire; and L be the thermal expansion coefficient. p For gear distance, L i b and d are intermediate parameters, representing the horizontal distance between adjacent towers within the tension section. The stress state equation construction module is used to implement the function of step S100 in Example 1, which will not be described again here.

[0135] The value of parameter b is calculated. When b ≥ 0, the stress under the working condition to be determined is calculated through the first stress calculation module. When b < 0, the stress under the working condition to be determined is calculated through the second stress calculation module.

[0136] The first stress calculation module transforms the stress state equation into a hyperbolic sine function, further transforms the hyperbolic sine function and obtains the initial stress value, and then uses Newton's method to iteratively obtain the stress value of the working condition to be determined based on the initial stress value. The first stress calculation module is used to implement the function of step S200 in Embodiment 1, which will not be described again here.

[0137] The second stress calculation module transforms the stress state equation into a hyperbolic cosine function, further transforms the hyperbolic cosine function and obtains the initial stress value, and then uses Newton's method to iteratively obtain the stress value of the working condition based on the initial stress value. The second stress calculation module is used to implement the function of step S300 in Example 1, which will not be described again here.

[0138] In a preferred embodiment of this invention, the first stress calculation module specifically involves the following steps: transforming the stress state equation into a hyperbolic sine function, further transforming the hyperbolic sine function to obtain an initial stress value, and then iteratively calculating the stress value under the desired working condition using Newton's method based on the initial stress value.

[0139] make

[0140] Where b0 and q are both intermediate parameters;

[0141] The stress state equation for overhead power lines can be transformed into the following form using hyperbolic functions:

[0142] sinh 6 (p)-sinh 4 (p)-q=0;

[0143] make Determine the initial stress value σ0:

[0144] σ0=b·sinh 2 (t);

[0145] Then, substitute σ0 into the stress state equation of the overhead line and use Newton's iteration method to perform iterative iteration:

[0146]

[0147] Where i = 0, 1, 2, ..., n; when |σ i+1 -σ i The iteration ends when |<0.001, and the σ obtained at the end of the iteration is... i+1 The value is the stress σ under the working condition to be determined.

[0148] In a preferred embodiment of this invention, the second stress calculation module specifically involves the following steps: transforming the stress state equation into a hyperbolic cosine function, further transforming the hyperbolic cosine function to obtain an initial stress value, and then iteratively calculating the stress value under the desired working condition using Newton's method based on the initial stress value.

[0149] make

[0150] The stress state equation for overhead power lines can be transformed into the following form using hyperbolic functions:

[0151] cosh 6 (p)-cosh 4 (p)-q=0;

[0152] The above formula can be further transformed into the following form:

[0153] sinh 2 (p)(sinh 2 (p)+1) 2 -q = 0;

[0154] Let m = sinh 2 (p), resulting in the following formula:

[0155] m(m+1) 2 -q = 0;

[0156] make Then use the following formula to solve for the initial value m0 of m:

[0157] m0 = sinh 2 (acosh(t));

[0158] The value of m can be solved iteratively using the following formula:

[0159]

[0160] Where i = 0, 1, 2, ..., n; when |m i+1 -m i The iteration ends when |<0.001, and the final m is recorded. f =m i+1 ;

[0161] The stress σ under the desired working condition can be solved using the following formula:

[0162]

[0163] Example 3:

[0164] This embodiment proposes an electronic device, including a memory, a processor, and a computer program stored in the memory and executable on the processor. When the processor executes the program, it implements the overhead line stress calculation method based on the hyperbolic function method as described in any embodiment of the present invention.

[0165] Example 4:

[0166] This embodiment proposes a computer-readable storage medium storing a computer program that, when executed by a processor, implements the overhead line stress calculation method based on the hyperbolic function method as described in any embodiment of the present invention.

[0167] In this application embodiment, "at least one" refers to one or more, and "more than one" refers to two or more. "And / or" describes the relationship between related objects, indicating that three relationships can exist. For example, A and / or B can represent the existence of A alone, A and B simultaneously, or B alone. A and B can be singular or plural. The character " / " generally indicates that the preceding and following related objects are in an "or" relationship. "At least one of the following" and similar expressions refer to any combination of these items, including any combination of singular or plural items. For example, at least one of a, b, and c can represent: a, b, c, a and b, a and c, b and c, or a and b and c, where a, b, and c can be single or multiple.

[0168] Those skilled in the art will recognize that the units and algorithm steps described in the embodiments disclosed herein can be implemented using electronic hardware, computer software, or a combination of electronic hardware and software. Whether these functions are implemented in hardware or software depends on the specific application and design constraints of the technical solution. Those skilled in the art can use different methods to implement the described functions for each specific application, but such implementation should not be considered beyond the scope of this application.

[0169] Those skilled in the art will understand that, for the sake of convenience and brevity, the specific working processes of the systems, devices, and units described above can be referred to the corresponding processes in the foregoing method embodiments, and will not be repeated here.

[0170] In the several embodiments provided in this application, any function, if implemented as a software functional unit and sold or used as an independent product, can be stored in a computer-readable storage medium. Based on this understanding, the technical solution of this application, in essence, or the part that contributes to the prior art, or a part of the technical solution, can be embodied in the form of a software product. This computer software product is stored in a storage medium and includes several instructions to cause a computer device (which may be a personal computer, server, or network device, etc.) to execute all or part of the steps of the methods described in the various embodiments of this application. The aforementioned storage medium includes various media capable of storing program code, such as USB flash drives, portable hard drives, read-only memory (ROM), random access memory (RAM), magnetic disks, or optical disks.

[0171] The above description is merely an embodiment of the present invention and does not limit the patent scope of the present invention. Any equivalent structural or procedural transformations made based on the content of the present invention's specification and drawings, or direct or indirect applications in other related technical fields, are similarly included within the patent protection scope of the present invention.

Claims

1. A method for calculating the stress of overhead power lines based on the hyperbolic function method, characterized in that, Includes the following steps: The following stress state equation for overhead lines is constructed: Where, σ,σ m These represent the stress under the unknown working condition and the known control working condition stress, γ, γ m These are the load ratio under the unknown working condition and the load ratio under the known control condition, t, t m Let be the operating temperature to be determined and the known control operating temperature, respectively; α be the linear expansion coefficient of the wire; E be the elastic modulus of the wire; and L be the thermal expansion coefficient. p For gear distance, L i b and d are intermediate parameters, representing the horizontal distance between adjacent towers within the tension section. Calculate the value of parameter b. When b≥0, transform the stress state equation into a hyperbolic sine function. Further transform the hyperbolic sine function and obtain the initial stress value. Then, use Newton's method to iteratively obtain the stress value of the working condition based on the initial stress value. When b < 0, the stress state equation is transformed into a hyperbolic cosine function. The hyperbolic cosine function is further transformed and the initial stress value is obtained. Then, the stress value of the working condition is obtained iteratively using Newton's method based on the initial stress value.

2. The method for calculating overhead line stress based on the hyperbolic function method according to claim 1, characterized in that, The steps of transforming the stress state equation into a hyperbolic sine function, further transforming the hyperbolic sine function and obtaining the initial stress value, and then using Newton's method to iteratively obtain the stress value of the working condition based on the initial stress value are as follows: make Where b0 and q are both intermediate parameters; The stress state equation for overhead power lines can be transformed into the following form using hyperbolic functions: born 6 (p)-birth 4 (p)-q = 0; make Determine the initial stress value σ0: σ0 = b·sinh 2 (t); Then, substitute σ0 into the stress state equation of the overhead line and use Newton's iteration method to perform iterative iteration: Where i = 0, 1, 2, ..., n; when |σ i+1 -σ i The iteration ends when |<0.001, and the σ obtained at the end of the iteration is... i+1 The value is the stress σ under the working condition to be determined.

3. The method for calculating overhead line stress based on the hyperbolic function method according to claim 1, characterized in that, The steps of transforming the stress state equation into a hyperbolic cosine function, further transforming the hyperbolic cosine function and obtaining the initial stress value, and then using Newton's method to iteratively obtain the stress value of the working condition based on the initial stress value are as follows: make The stress state equation for overhead power lines can be transformed into the following form using hyperbolic functions: cosh 6 (p)-cosh 4 (p)-q=0; The above formula can be further transformed into the following form: born 2 (p)(sinh 2 (p)+1) 2 -q = 0; Let m = sinh 2 (p), resulting in the following formula: m(m+1) 2 -q=0; make Then use the following formula to solve for the initial value m0 of m: m0 = birth 2 (acosh(t)); The value of m can be solved iteratively using the following formula: Where i = 0, 1, 2, ..., n; when |m i+1 -m i The iteration ends when |<0.001, and the final m is recorded. f =m i+1 ; The stress σ under the desired working condition can be solved using the following formula:

4. A system for calculating stress on overhead power lines based on the hyperbolic function method, characterized in that, include: The stress state equation construction module is used to construct the stress state equation for overhead lines as follows: Where, σ,σ m These represent the stress under the unknown working condition and the known control working condition stress, γ, γ m These are the load ratio under the unknown working condition and the load ratio under the known control condition, t, t m Let be the operating temperature to be determined and the known control operating temperature, respectively; α be the linear expansion coefficient of the wire; E be the elastic modulus of the wire; and L be the thermal expansion coefficient. p For gear distance, L i b and d are intermediate parameters, representing the horizontal distance between adjacent towers within the tension section. The value of parameter b is calculated. When b ≥ 0, the stress under the working condition to be determined is calculated through the first stress calculation module. When b < 0, the stress under the working condition to be determined is calculated through the second stress calculation module. The first stress calculation module transforms the stress state equation into a hyperbolic sine function, further transforms the hyperbolic sine function and obtains the initial stress value, and then uses Newton's method to iteratively obtain the stress value of the working condition based on the initial stress value. The second stress calculation module transforms the stress state equation into a hyperbolic cosine function, further transforms the hyperbolic cosine function and obtains the initial stress value, and then uses Newton's method to iteratively obtain the stress value of the working condition based on the initial stress value.

5. The overhead line stress calculation system based on the hyperbolic function method according to claim 4, characterized in that, In the first stress calculation module, the stress state equation is transformed into a hyperbolic sine function, the hyperbolic sine function is further transformed and the initial stress value is obtained, and then the stress value of the working condition is obtained iteratively using Newton's method based on the initial stress value. The specific steps are as follows: make Where b0 and q are both intermediate parameters; The stress state equation for overhead power lines can be transformed into the following form using hyperbolic functions: born 6 (p)-birth 4 (p)-q = 0; make Determine the initial stress value σ0: σ0 = b·sinh 2 (t); Then, substitute σ0 into the stress state equation of the overhead line and use Newton's iteration method to perform iterative iteration: Where i = 0, 1, 2, ..., n; when |σ i+1 -σ i The iteration ends when |<0.001, and the σ obtained at the end of the iteration is... i+1 The value is the stress σ under the working condition to be determined.

6. The overhead line stress calculation system based on the hyperbolic function method according to claim 4, characterized in that, In the second stress calculation module, the stress state equation is transformed into a hyperbolic cosine function. The hyperbolic cosine function is then further transformed to obtain the initial stress value. Finally, the stress value for the desired working condition is iteratively obtained using Newton's method based on the initial stress value. The specific steps are as follows: make The stress state equation for overhead power lines can be transformed into the following form using hyperbolic functions: cosh 6 (p)-cosh 4 (p)-q=0; The above formula can be further transformed into the following form: born 2 (p)(sinh 2 (p)+1) 2 -q = 0; Let m = sinh 2 (p), resulting in the following formula: m(m+1) 2 -q=0; make Then use the following formula to solve for the initial value m0 of m: m0 = birth 2 (acosh(t)); The value of m can be solved iteratively using the following formula: Where i = 0, 1, 2, ..., n; when |m i+1 -m i The iteration ends when |<0.001, and the final m is recorded. f =m i+1 ; The stress σ under the desired working condition can be solved using the following formula:

7. An electronic device comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, characterized in that, When the processor executes the program, it implements the overhead line stress calculation method based on the hyperbolic function method as described in any one of claims 1 to 3.

8. A computer-readable storage medium having a computer program stored thereon, characterized in that, When executed by the processor, the program implements the overhead line stress calculation method based on the hyperbolic function method as described in any one of claims 1 to 3.

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