阅读说明：本技术 一种多集中荷载连续档架空线应力的确定方法及装置 (Method and device for determining stress of multi-concentrated-load continuous-gear overhead line ) 是由 刘晨 李永双 唐剑 夏波 王莹莹 王晶 王志强 于 2020-05-14 设计创作，主要内容包括：本发明提供一种多集中荷载连续档架空线应力的确定方法及装置,该方法包括：基于实际场景参数建立多集中荷载连续档架空线模型,根据所述多集中荷载连续档架空线模型,确定所述多集中荷载连续档架空线的代表档距列向量、第一气象条件下的第一等效比载行向量和第二气象条件下的第二等效比载行向量,再根据所述代表档距列向量、第一等效比载行向量和第二等效比载行向量,确定所述第二气象条件下所述多集中荷载连续档架空线的应力。本发明实施例在确定多集中荷载连续档架空线的应力时能够考虑多个集中荷载的作用,提升了确定多集中荷载连续档架空线应力时的准确性。(The invention provides a method and a device for determining the stress of a multi-concentrated-load continuous-gear overhead line, wherein the method comprises the following steps: establishing a multi-concentrated load continuous gear overhead line model based on actual scene parameters, determining a representative gear span column vector of the multi-concentrated load continuous gear overhead line, a first equivalent ratio carrier line vector under a first meteorological condition and a second equivalent ratio carrier line vector under a second meteorological condition according to the multi-concentrated load continuous gear overhead line model, and determining the stress of the multi-concentrated load continuous gear overhead line under the second meteorological condition according to the representative gear span column vector, the first equivalent ratio carrier line vector and the second equivalent ratio carrier line vector. According to the embodiment of the invention, the effect of a plurality of concentrated loads can be considered when determining the stress of the multi-concentrated-load continuous-gear overhead line, so that the accuracy of determining the stress of the multi-concentrated-load continuous-gear overhead line is improved.)

1. A method for determining the stress of a multi-concentrated-load continuous gear overhead line is characterized by comprising the following steps:

establishing a multi-concentrated-load continuous-gear overhead line model based on actual scene parameters;

determining that m continuous gear overhead lines are configured with n at the ith gear according to the multi-concentrated-load continuous gear overhead line model_iUnder the condition of concentrated load, the line length coefficient and the line length column vector of the ith gear; the line length coefficient and the line length column vector indicate that the ith gear overhead line is configured with n_iThe influence on the length of the ith gear overhead line during concentrated load;

determining a representative span column vector of the multi-concentrated load continuous gear overhead line according to the multi-concentrated load continuous gear overhead line model and the line length column vector of each gear overhead line;

determining a first equivalent specific load row vector under a first aerial image condition according to the specific load of a first aerial line of a multi-concentrated load continuous gear aerial line under the first aerial image condition;

determining a second equivalent specific load row vector under a second meteorological condition according to a second overhead line specific load of the multi-concentrated load continuous gear overhead line under the second meteorological condition;

determining the stress of the multi-concentrated load continuous gear overhead line under the second meteorological condition according to the representative gear pitch column vector, the first equivalent ratio load line vector and the second equivalent ratio load line vector of the multi-concentrated load continuous gear overhead line;

wherein m and n_iAre all positive integers, and i is a positive integer less than or equal to m.

2. The method for determining the stress of the multi-concentrated-load continuous-gear overhead line according to claim 1, wherein the step of establishing the multi-concentrated-load continuous-gear overhead line model based on the actual scene parameters comprises:

establishing m continuous gear overhead lines on ith gear configuration n based on actual scene parameters_iA model under concentrated load conditions;

wherein the actual scene parameter comprises an overhead line specific load gamma₀；

For the ith gear overhead line, the actual scene parameters further comprise the overhead line gear span l_i0Phase height difference angle beta_i0The unit section gravity tau of the jth concentrated load of the ith gear overhead line_ijThe horizontal normalized distance s from the jth concentrated load of the ith gear overhead line to one end of the ith gear overhead line_ijAnd the horizontal normalized distance t from the jth concentrated load of the ith gear overhead line to the other end of the ith gear overhead line_ij；

i is a positive integer less than or equal to m, j is less than or equal to n_iIs a positive integer of (1).

3. The method of claim 1, wherein the configuration of n consecutive overhead lines is determined according to the model of the multiple concentrated loads consecutive overhead lines_iUnder the condition of concentrated load, the steps of the line length coefficient and the line length column vector of each gear comprise:

according toDetermining the first line length coefficient k_1i；

According toDetermining the second line length coefficient k_2i；

According toDetermining the line length column vector K_i0；

Wherein, γ₀For overhead line specific load, beta_i0For the phase height difference angle of each grade of the overhead line,l_i0each gear span of the overhead line;

τ_ijthe unit section gravity, s, of the jth concentrated load on the ith gear overhead line_ijRepresents a horizontal normalized distance, t, from the jth concentrated load at the ith gear overhead line to an end of the ith gear overhead line_ijRepresenting a horizontal normalized distance from a jth concentrated load on an ith gear overhead line to the other end of the ith gear overhead line;

i is a positive integer less than or equal to m, j is less than or equal to n_iIs a positive integer of (1).

4. The method of claim 1, wherein the step of determining the representative span column vector of the multiple concentrated load consecutive shelves overhead line according to the multiple concentrated load consecutive shelves overhead line model and the line length column vector of each shelf overhead line comprises:

according toDetermining a representative head angle β of said m consecutive gear overhead lines_rWherein l is_i0Each gear span, beta, of the m continuous gear overhead lines_i0The phase height difference angle of each gear is set;

according toDetermining a representative range column vector ll of said m consecutive range overhead lines_rWherein, β_rIs said to represent a height difference angle, K_i0And constructing a line length column vector of each file of the m continuous file overhead lines.

5. The method of claim 1, wherein the first equivalent specific load vector γ is used for determining the stress of the multiple concentrated loads in the continuous gear overhead line_XSatisfies the following conditions:γ_Xthe equivalent specific load of N concentrated loads is configured for the m continuous gear overhead lines under the first meteorological condition;

the second equivalence ratio carrier vector γ_YSatisfies the following conditions:γ_Ythe equivalent specific loads of the m continuous gear overhead lines are configured with N concentrated loads under the second meteorological condition;

wherein N satisfies:

6. the method of claim 5, wherein the step of determining the overhead line stress under the second meteorological condition according to the representative span column vector, the first equivalent specific load row vector and the second equivalent specific load row vector of the multi-concentrated load continuous span overhead line comprises:

according to the representative span column vector ll of the multi-concentrated load continuous span overhead line_rThe equivalent specific load vector gamma under the first meteorological condition_XAnd an equivalent specific load vector γ in the second meteorological condition_YDetermining a state equation of the overhead line of the continuous gear of the multiple concentrated loads; the state equation of the multi-concentrated load continuous gear overhead line meets the following conditions:

wherein E is the elastic modulus of the continuous gear overhead line, alpha is the temperature expansion coefficient of the continuous gear overhead line, and beta_rIs said representative height difference angle, t_XIs the temperature value under the first meteorological condition, t_YIs the temperature value, σ, under the second meteorological condition_0XThe stress limit value of the overhead line with the multiple concentrated loads under the preset first meteorological condition is set;

determining the stress sigma of the multi-concentrated-load continuous-gear overhead line under the second meteorological condition according to the multi-concentrated-load continuous-gear overhead line state equation_0Y。

7. A device for determining the stress of a multi-concentrated-load continuous-gear overhead line is characterized by comprising:

the establishing module is used for establishing a multi-concentrated-load continuous-gear overhead line model based on actual scene parameters;

a first determining module, configured to determine that m continuous overhead lines are configured with n at the ith gear according to the multi-concentrated-load continuous overhead line model_iUnder the condition of concentrated load, the line length coefficient and the line length column vector of the ith gear; the line length coefficient and the line length column vector indicate that the ith gear overhead line is configured with n_iThe influence on the length of the ith gear overhead line during concentrated load;

the second determination module is used for determining a representative span column vector of the multi-concentrated load continuous gear overhead line according to the multi-concentrated load continuous gear overhead line model and the line length column vector of each gear overhead line;

the third determining module is used for determining a first equivalent specific load row vector under a first meteorological condition according to the first overhead line specific load of the multi-concentrated load continuous gear overhead line under the first meteorological condition;

the fourth determining module is used for determining a second equivalent specific load row vector under a second meteorological condition according to the second overhead line specific load of the multi-concentrated load continuous gear overhead line under the second meteorological condition;

a fifth determining module, configured to determine, according to the representative span column vector of the multi-concentrated-load continuous-bay overhead line, the first equivalence ratio carrier line vector, and the second equivalence ratio carrier line vector, a stress of the multi-concentrated-load continuous-bay overhead line under the second meteorological condition;

wherein n is_iAnd m are positive integers, and i is a positive integer less than or equal to m.

8. A device for determining multiple concentrated load continuous gear overhead line stress, comprising a processor, a memory and a computer program stored on the memory and operable on the processor, wherein the computer program, when executed by the processor, implements the steps of the method for determining multiple concentrated load continuous gear overhead line stress according to any one of claims 1-6.

9. A computer-readable storage medium, on which a computer program is stored, which, when being executed by a processor, carries out the steps of the method for determining multiple concentrated load continuous gear overhead line stress according to any one of claims 1 to 6.

Technical Field

The invention relates to the technical field of power transmission, in particular to a method and a device for determining the stress of a multi-concentrated-load continuous-gear overhead line.

Background

In recent years, with the increasing demand for designing, operating and maintaining overhead lines, the overhead line load arrangement situation is becoming more complicated. For example, in order to reduce the damage to the overhead line caused by galloping, it is sometimes necessary to install an anti-galloping device such as a double pendulum anti-galloping device on the wire; when the overhead line is close to the airport, the ground wire may need to be provided with an aviation warning ball according to the requirements of aviation departments. The anti-galloping device or the navigation device is usually required to be configured in a plurality in a first gear, and the weight of the anti-galloping device or the navigation device can be regarded as a plurality of concentrated loads acting on the overhead line. Concentrated loads inevitably affect the stress sag characteristics of the overhead line, and particularly, the concentrated loads are large in quantity and bring great difficulty to the mechanical characteristic analysis of the overhead line under the condition of continuous gear distribution.

For the stress of the continuous overhead line under the action of multiple concentrated loads, an equivalent specific load method is generally adopted in the industry for calculation at present, namely, the mass of multiple concentrated loads is averaged to the whole span based on the assumption of uniformly distributed loads, and the mass is applied to the overhead line specific load in an equivalent specific load mode, namely, the multiple concentrated loads are converted into the dead weight of the overhead line. The method cannot reflect the influence of factors such as the number, the position and the arrangement mode of concentrated loads, and inevitably brings about deviation. For example, for the same amount of concentrated loads with different arrangement modes, the influence on the mechanical properties of the overhead line is obviously different, but the equivalent specific load method cannot reflect the difference. Therefore, the method for determining the stress of the multi-concentrated-load continuous-gear overhead line in the prior art cannot reflect the action characteristics of multiple concentrated loads, and therefore the problem of low accuracy exists.

Disclosure of Invention

The embodiment of the invention provides a method and a device for determining stress of a multi-concentrated-load continuous-gear overhead line, and aims to solve the problem that the method for determining the stress of the multi-concentrated-load continuous-gear overhead line in the prior art is low in accuracy.

In a first aspect, an embodiment of the present invention provides a method for determining a stress of a multi-concentrated-load continuous-gear overhead line, including:

establishing a multi-concentrated-load continuous-gear overhead line model based on actual scene parameters;

determining that m continuous gear overhead lines are configured with n at the ith gear according to the multi-concentrated-load continuous gear overhead line model_iUnder the condition of concentrated load, the line length coefficient and the line length column vector of the ith gear; the line length coefficient and the line length column vector indicate that the ith gear overhead line is configured with n_iThe influence on the length of the ith gear overhead line during concentrated load;

determining a representative span column vector of the multi-concentrated load continuous gear overhead line according to the multi-concentrated load continuous gear overhead line model and the line length column vector of each gear overhead line;

determining a first equivalent specific load row vector under a first aerial image condition according to the specific load of a first aerial line of a multi-concentrated load continuous gear aerial line under the first aerial image condition;

determining a second equivalent specific load row vector under a second meteorological condition according to a second overhead line specific load of the multi-concentrated load continuous gear overhead line under the second meteorological condition;

determining the stress of the multi-concentrated load continuous gear overhead line under the second meteorological condition according to the representative gear pitch column vector, the first equivalent ratio load line vector and the second equivalent ratio load line vector of the multi-concentrated load continuous gear overhead line;

wherein m and n_iAre all positive integers, and i is a positive integer less than or equal to m.

In a second aspect, an embodiment of the present invention further provides a device for determining a stress of a multi-concentrated-load continuous gear overhead line, including:

the establishing module is used for establishing a multi-concentrated-load continuous-gear overhead line model based on actual scene parameters;

a first determining module, configured to determine that m continuous overhead lines are configured with n at the ith gear according to the multi-concentrated-load continuous overhead line model_iUnder the condition of concentrated load, the line length coefficient and the line length column vector of the ith gear; the line length coefficient and the line length column vector indicate that the ith gear overhead line is configured with n_iThe influence on the length of the ith gear overhead line during concentrated load;

the second determination module is used for determining a representative span column vector of the multi-concentrated load continuous gear overhead line according to the multi-concentrated load continuous gear overhead line model and the line length column vector of each gear overhead line;

the third determining module is used for determining a first equivalent specific load row vector under a first meteorological condition according to the first overhead line specific load of the multi-concentrated load continuous gear overhead line under the first meteorological condition;

the fourth determining module is used for determining a second equivalent specific load row vector under a second meteorological condition according to the second overhead line specific load of the multi-concentrated load continuous gear overhead line under the second meteorological condition;

a fifth determining module, configured to determine, according to the representative span column vector of the multi-concentrated-load continuous-bay overhead line, the first equivalence ratio carrier line vector, and the second equivalence ratio carrier line vector, a stress of the multi-concentrated-load continuous-bay overhead line under the second meteorological condition;

wherein n is_iAnd m are positive integers, and i is a positive integer less than or equal to m.

In a third aspect, an embodiment of the present invention further provides an apparatus for determining multiple concentrated loads continuous gear overhead line stress, including a processor, a memory, and a computer program stored on the memory and executable on the processor, where the computer program, when executed by the processor, implements the steps of the method for determining multiple concentrated loads continuous gear overhead line stress as described above.

In a fourth aspect, an embodiment of the present invention further provides a computer-readable storage medium, on which a computer program is stored, where the computer program is executed by a processor to implement the steps of the method for determining multiple concentrated load continuous gear overhead line stress in any one of the above methods.

The method comprises the steps of determining n configuration n of the ith gear under the second meteorological condition of the multi-concentrated load continuous gear overhead line according to a representative gear row vector, a first equivalent ratio carrier line vector and a second equivalent ratio carrier line vector of the multi-concentrated load continuous gear overhead line_iThe stress of the multiple concentrated loads in the process of concentrating the loads represents the influence of the multi-concentrated loads on the load of the overhead line and the change of the line length by the span column vector, the first equivalent specific load row vector and the second equivalent specific load row vector in the form of vectors, so that the effect of the multiple concentrated loads can be considered when the stress of the multi-concentrated load continuous span overhead line is determined, and the accuracy of determining the stress of the multi-concentrated load continuous span overhead line is improved.

Drawings

In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings required to be used in the description of the embodiments of the present invention will be briefly introduced below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and it is obvious for those skilled in the art to obtain other drawings based on these drawings without inventive exercise.

FIG. 1 is a schematic flow chart illustrating a method for determining a stress of a multi-concentrated-load continuous-gear overhead line according to an embodiment of the present invention;

FIG. 2 is a schematic diagram of a multi-concentrated load continuous overhead line according to an embodiment of the present invention;

FIG. 3 is a schematic diagram illustrating a comparison between the determination method of the stress of the multi-concentrated-load continuous-gear overhead line provided by the embodiment of the present invention and the results of the conventional determination method;

fig. 4 is a schematic structural diagram of a device for determining multiple concentrated load continuous step overhead line stress according to an embodiment of the present invention.

Detailed Description

The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are some, not all, embodiments of the present invention. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.

Referring to fig. 1, fig. 1 is a schematic flow chart of a method for determining stress of an overhead line according to an embodiment of the present invention, where the method includes:

step 101, establishing a multi-concentrated-load continuous overhead line model based on actual scene parameters, wherein the total weight of the multi-concentrated loads on each overhead line is in direct proportion to the line length of each overhead line;

step 102, determining that m continuous gear overhead lines are configured with n at the ith gear according to the multi-concentrated load continuous gear overhead line model_iUnder the condition of concentrated load, the line length coefficient and the line length column vector of the ith gear; the line length coefficient and the line length column vector indicate that the ith gear overhead line is configured with n_iThe influence on the length of the ith gear overhead line during concentrated load;

103, determining a representative span column vector of the multiple concentrated load continuous gear overhead lines according to the multiple concentrated load continuous gear overhead line model and the line length column vector of each gear overhead line;

104, determining a first equivalent specific load row vector under a first meteorological condition according to the first overhead line specific load of the multi-concentrated load continuous gear overhead line under the first meteorological condition;

105, determining a second equivalent specific load row vector under a second meteorological condition according to a second overhead line specific load of the multi-concentrated load continuous gear overhead line under the second meteorological condition;

106, determining the stress of the multi-concentrated load continuous gear overhead line under the second meteorological condition according to the representative gear pitch column vector, the first equivalent ratio carrier line vector and the second equivalent ratio carrier line vector of the multi-concentrated load continuous gear overhead line;

wherein n is_iAnd m are positive integers, and i is a positive integer less than or equal to m.

In step 101, the actual scene parameters may include a specific load of the overhead line when the erection is completed, a range, a phase difference angle, an overhead line horizontal stress, and the like, and are used to reflect the erection condition of the m consecutive overhead lines. At this time, each suspension insulator string is in a vertical position, and the skew angle can be regarded as 0.

It should be noted that the above-mentioned multiple concentrated loads may be aviation warning balls or anti-galloping devices regularly configured on the overhead line, and the equivalent specific load generated by the concentrated loads in the ith span is:

in the engineering practice, the configuration of multiple concentrated loads has certain regularity. For example, for aviation warning balls, the weight of each ball is usually the same, and the balls are arranged on the ground line every 30-40 m according to the diameter of the ball; for the anti-galloping devices such as the double-pendulum anti-galloping device, the anti-galloping device is generally arranged at a position with a fixed proportion of the length of an overhead line based on the span, and in order to effectively exert the load anti-galloping effect of the anti-galloping device, the mass of the double pendulum is generally controlled to be about 7% of the total mass of a lead in a gear. Whether the multiple concentrated loads are arranged at equal intervals or in a certain proportion of the total mass of the lead, the total weight of the multiple concentrated loads in the ith gear is in direct proportion to the length of the ith gear.

Thus, it is possible to provideWherein u is₀For the mounting distance, gamma, of aviation warning balls₀Specific load of overhead line. It can be known that the equivalent specific load of the concentrated load in each gear is irrelevant to geometric parameters such as the length of the overhead line and can be regarded as a constant. Because the equivalent load added by each gear is basically equal, the change of the tension of the overhead line of each gear caused by the equivalent load is basically the same. Based on the premise and the actual scene parameters, the multi-concentrated-load continuous shelves can be establishedAnd (4) an empty line model.

In the steps 104 and 105, the first meteorological conditions may be meteorological conditions of the multi-concentrated load continuous overhead line, including temperature, icing, wind speed, and the like. The stress of the multi-concentrated load continuous gear overhead line under the first meteorological condition is a stress limit value known in advance under specific meteorological conditions, wherein the specific meteorological conditions can be conditions such as maximum wind speed, minimum air temperature, maximum icing and annual average air temperature. In other words, the first meteorological condition described above is a line-controlled meteorological condition, i.e., a known condition under which the stress can be considered as a known quantity.

Correspondingly, when the specific meteorological condition is changed to the second meteorological condition, the stress of the multi-concentrated load continuous gear overhead line is a physical quantity to be determined, and the state equation of the overhead line is satisfied. The second meteorological conditions mentioned above thus also include conditions of temperature, icing and wind speed.

The method comprises the steps of determining n configuration n of the ith gear under the second meteorological condition of the multi-concentrated load continuous gear overhead line according to a representative gear row vector, a first equivalent ratio carrier line vector and a second equivalent ratio carrier line vector of the multi-concentrated load continuous gear overhead line_iThe stress of the multiple concentrated loads in the process of concentrating the loads represents the influence of the multi-concentrated loads on the load of the overhead line and the change of the line length by the span column vector, the first equivalent specific load row vector and the second equivalent specific load row vector in the form of vectors, so that the effect of the multiple concentrated loads can be considered when the stress of the multi-concentrated load continuous span overhead line is determined, and the accuracy of determining the stress of the multi-concentrated load continuous span overhead line is improved.

Meanwhile, the embodiment of the invention also avoids solving a large number of nonlinear equations by means of numerical analysis to improve the accuracy, and is convenient for engineering calculation.

Further, the step 101 may specifically include:

n is configured in ith file by establishing m continuous file overhead lines based on actual scene parameters_iA model under concentrated load;

wherein the actual scene parameters include overheadLinear specific load gamma₀；

For the ith gear overhead line, the actual scene parameters further comprise the overhead line gear span l_i0Phase height difference angle beta_i0The unit section gravity tau of the jth concentrated load of the ith gear overhead line_ijThe horizontal normalized distance s from the jth concentrated load of the ith gear overhead line to one end of the ith gear overhead line_ijAnd the horizontal normalized distance t from the jth concentrated load of the ith gear overhead line to the other end of the ith gear overhead line_ij(ii) a The horizontal normalized distance is a ratio of a distance from the concentrated load to one end of the ith gear overhead line to a gear pitch of the ith gear overhead line.

i is a positive integer less than or equal to m, j is less than or equal to n_iIs a positive integer of (1).

Further, the step 102 may specifically include:

according toDetermining the first line length coefficient k_1i；

According toDetermining the second line length coefficient k_2i；

According toDetermining the line length column vector K_i0；

Wherein, γ₀For overhead line specific load, beta_i0For each phase height difference angle of overhead line l_i0Each gear span of the overhead line;

τ_ijthe unit section gravity, s, of the jth concentrated load on the ith gear overhead line_ijRepresents a horizontal normalized distance, t, from the jth concentrated load at the ith gear overhead line to an end of the ith gear overhead line_ijRepresenting a horizontal normalized distance from a jth concentrated load on an ith gear overhead line to the other end of the ith gear overhead line;

i is a positive integer less than or equal to m, j is less than or equal to n_iIs a positive integer of (1).

In the embodiment of the present invention, s is considered_ij、t_ijNormalized horizontal distances from the ith concentrated load to the left suspension point and the right suspension point are respectively independent of the span and only dependent on the arrangement mode of the multiple concentrated loads; tau is_ijAnd is only related to the nature of the concentrated load itself. Thus, k_1i、k_2iThe influence of concentrated load on the line length is represented only by the property and position parameter of the concentrated load of the gear.

Further, the step 103 may specifically include:

according toDetermining a representative head angle β of said m consecutive gear overhead lines_rWherein l is_i0Each gear span, beta, of the m continuous gear overhead lines_i0The phase height difference angle of each gear is set;

according toDetermining a representative range column vector ll of said m consecutive range overhead lines_rWherein, β_rIs said to represent a height difference angle, K_i0And constructing a line length column vector of each file of the m continuous file overhead lines.

In the step 104 and the step 105, the first equivalent specific vector γ_XSatisfies the following conditions:γ_Xthe equivalent specific load when N concentrated loads are configured for the m continuous gear overhead lines under the first meteorological condition;

the second equivalent specific vector γ_YSatisfies the following conditions:γ_Yn concentrated loads are configured for the m continuous gear overhead lines under the second meteorological conditionEquivalent specific load of time;

wherein N satisfies:that is, it is equivalent to obtain n configured on each gear of the m continuous gear overhead lines₁～n_mThe equivalent specific load of each concentrated load, and the concentrated load number of the i-th gear is n_i。

Further, the step 106 may specifically include:

according to the representative span column vector ll of the multi-concentrated load continuous span overhead line_rThe equivalent specific load vector gamma under the first meteorological condition_XAnd an equivalent specific load vector γ in the second meteorological condition_YDetermining a state equation of the overhead line of the continuous gear of the multiple concentrated loads; the state equation of the multi-concentrated load continuous gear overhead line meets the following conditions:

wherein E is the elastic modulus of the continuous gear overhead line, alpha is the temperature expansion coefficient of the continuous gear overhead line, and beta_rIs said representative height difference angle, t_XIs the temperature value under the first meteorological condition, t_YIs the temperature value, σ, under the second meteorological condition_0XObtaining the stress of a multi-concentrated-load continuous gear overhead line under the first meteorological condition in advance;

determining the stress sigma of the multi-concentrated-load continuous-gear overhead line under the second meteorological condition according to the multi-concentrated-load continuous-gear overhead line state equation_0Y。

In the embodiment of the invention, the overhead line state equation can be listed by representing the span column vector and the equivalence ratio carrier line vector in the form of the overhead line of a single gear for a plurality of continuous gear overhead lines of concentrated loads. After the overhead line state equation is obtained, the stress of the multi-concentrated load continuous gear overhead line under the second meteorological condition can be determined according to the known physical quantity. When the calculation is simplified, the action effects of a plurality of concentrated loads can be expressed in a vector form, and the accuracy of overhead line stress determination is improved.

It should be noted that, various optional implementations described in the embodiments of the present invention may be implemented in combination with each other or implemented separately, and the embodiments of the present invention are not limited thereto.

In order to better understand the present invention, a specific implementation manner is taken as an example to describe the implementation process of the present invention in detail.

The method is performed based on actual scene parameters, as shown in fig. 2, and fig. 2 is a schematic diagram of a multi-concentrated load continuous gear overhead line. Considering a continuous range consisting of m steps, the overhead line specific load is γ₀When the completion is finished, each suspension insulator string is in vertical position, and the span of each grade is l₁₀，l₂₀，…，l_m0Phase height difference angle of beta₁₀，β₂₀，…，β_m0The horizontal stress of the overhead line is sigma₀。

For the ith span, assume that n is configured_iA concentrated load, wherein the unit section gravity of the jth concentrated load is recorded as tau_ijThe horizontal normalized distance (horizontal distance to ith gear pitch) from the left suspension point and the right suspension point is s_ij、t_ij. The length of the overhead line of the ith gear under the action of multiple concentrated loads can be represented as follows:

the length coefficient k of the multiple concentrated load lines_1i、k_2iCan be expressed as:

based on equation (2), the multiple concentrated load overhead line length can be further expressed as:

wherein gamma is₀For overhead line ratio-carrying the row vector, K_i0The linear length column vectors of the ith gear under the action of multiple concentrated loads respectively satisfy the following conditions:

when the weather condition is different from the overhead weather, the air temperature is changed to t_NSpecific load becomes γ_NThe overhead line produces an unbalanced tension force that deflects the suspended insulator string. The deflection angles of each suspension insulator string are respectivelyThe resulting gear step increments are each Δ l₁₁，Δl₂₁，…，Δl_m1As shown in fig. 2.

At this time, the equivalent specific load due to the concentrated load in the ith range is:

in consideration of engineering practice, the configuration of multiple concentrated loads usually has a certain regularity. For example, for aviation warning balls, the weight of each ball is usually the same, and the balls are arranged on the ground line every 30-40 m according to the diameter of the ball; for the anti-galloping devices such as the double-pendulum anti-galloping device, the anti-galloping device is generally arranged at a position with a fixed proportion of the length of an overhead line based on the span, and in order to effectively exert the load anti-galloping effect of the anti-galloping device, the mass of the double pendulum is generally controlled to be about 7% of the total mass of a lead in a gear. Whether the multiple concentrated loads are arranged at equal intervals or in a certain proportion of the total mass of the lead, the total weight of the multiple concentrated loads in the ith gear is in direct proportion to the length of the ith gear. Therefore, there are:

wherein u is₀To a mounting interval, γ₀The ratio load of the overhead line is. As can be seen from the formula (6), the equivalent specific load of the concentrated load in each gear is independent of geometric parameters such as the length of the overhead line and can be regarded as a constant. This also means that although the multiple concentrated loads increase the load on the wire at each step and thus the wire tension, the equivalent load increases substantially equally from step to step, and the resulting change in overhead wire tension from step to step is substantially the same. If the horizontal stresses of each gear in the continuous gears are equal and sigma_0NThen, according to the formula of the line length of the overhead line with multiple concentrated loads, the line length of the ith gear in the state N can be written as:

wherein gamma is_MAnd gamma_NSpecific load vector, K, for multi-concentrated load continuous gear in state M and state N respectively_i0And K_iNThe linear length column vectors in the ith file in the original state and the state N are respectively.

Add up the line length of each shelves of whole strain insulator section, have:

similarly, when the weather condition changes to the state M, the air temperature becomes t_MSpecific load becomes γ_MCorresponding to a range increment of Δ l₁₂，Δl₂₂，…，Δl_n2The horizontal stress of each gear after the suspension insulator string deflects is sigma_0MThen, there are:

note that the length of the whole tension section overhead line is not changed, so the sum of the span increments after the meteorological conditions are changed is 0, namely:

furthermore, changes in meteorological conditions will result in changes in the overhead line length, which changes are mainly due to two aspects: firstly, the overhead line expands with heat and contracts with cold due to temperature change, and secondly, the overhead line elastically stretches due to axial stress. Therefore, after the elastic elongation and the temperature elongation are subtracted from the suspension length of the overhead wire, the lengths of the suspension curves of the overhead wire in the two states are converted into the same original length of the overhead wire in the same original state, that is:

wherein E is the modulus of elasticity of the overhead line, alpha is the coefficient of temperature expansion of the overhead line, t_N、t_M、t₀State N, state M and temperature in the original state, respectively.

Substituting equations (8) to (10) into (11) includes:

order:

equation (13) above can be written in the form of a single span overhead line state equation:

in the formula beta_rTo represent a height difference angle, ll_rIs a representative span column vector, gamma, of the strain section of the multi-concentrated load continuous gear_M、γγ_NStrain resisting sections of multi-concentrated load continuous gear respectively under the state M and the state NThe specific vector of (2).

It can be seen that in the multi-concentrated load continuous gear model, the specific load and the representative span are changed into vectors due to the change of the load condition of each gear, wherein the representative span column vector of the multi-concentrated load continuous gear is related to the overhead line parameters, the quantity, the weight, the position and the like of the concentrated load, and the influence of the concentrated load on the overhead line is reflected.

In particular, when no concentrated load is present, i.e.. tau_iWhen 0, there are:

then

At this time, ll_rThe strain gauge is a representative span of the conventional continuous strain section, and gamma is the overhead line specific load of the conventional continuous strain section.

By using the row vector of the representative span and the row vector of the equivalent ratio, the stress calculation of the overhead line of the multi-concentrated load continuous span can be equal to the calculation of a single span. That is, taking the state N as the control condition and the state M as the condition to be obtained, the overhead line stress σ of the multi-concentrated load under the known control condition_0NSpecific load of gamma_NAnd specific load gamma under the working condition to be solved_MSolving the formula (13), the stress sigma of the multi-concentrated load overhead line under the working condition to be solved can be obtained_0M。

An engineering example is provided, considering a continuous overhead line, comprising 3 steps, each step being 500 m. The wire adopts four-split JL/G1A-500/45 steel-cored aluminum stranded wire, the sectional area is 531.68mm2, and the calculated weight is 1.6855 kg/m. The lead is provided with double-pendulum anti-galloping devices at the gear pitches 2/9, 1/2 and 7/9, and the mass of each double-pendulum anti-galloping device is 2.33% of the total mass of the lead in the gear. The ground wire adopts JLB20A-120 aluminum-clad steel strand with the sectional area of 121.21mm²The calculated weight was 0.81 kg/m. Aviation warning balls are arranged on the ground wire at equal intervals, and the mass of each ball is 10 kg.

Before concentrated load is installed, the tension of the lead and the ground wire are 33.464kN and 39.028kN respectively, the meteorological conditions of the overhead wire are ice-free and wind-free, and the air temperature is 15 ℃. The traditional method based on the assumption of uniformly distributed load and the determination method provided by the embodiment of the invention respectively determine the tension of the lead and the ground wire after concentrated load is installed.

For the anti-galloping device on the lead, the equivalent specific load results obtained by the method of the embodiment of the invention and the traditional method are shown in table 1, and the lead tension calculation results after the anti-galloping device is installed are shown in table 2.

TABLE 1

Item	Datum	Method of an embodiment of the invention	Conventional methods
				Stress (N/m)2)	67.35	67.32	66.61
Calculating the deviation	—	-0.05％	-1.10％

TABLE 2

As can be seen from the table 1, the traditional method does not consider the influence of a multi-concentrated load configuration mode, the obtained equivalent specific load of the anti-galloping device is small, and compared with the calculation result of the embodiment of the invention, the deviation rate reaches-19.46%.

The horizontal stress of the lead after the anti-galloping device is installed is calculated by software based on a finite element method and is used as a reference, and the calculation results of the lead stress are compared with those of the method provided by the embodiment of the invention and the traditional method, and are shown in table 2. It can be seen that the stress calculation deviation of the traditional method is-1.1%, and the method provided by the embodiment of the invention reduces the calculation deviation to-0.05%, thereby greatly improving the calculation accuracy.

For an aviation warning ball on a ground wire, the variation of the equivalent specific load calculated by the method provided by the embodiment of the invention and the traditional method along with the number of concentrated loads on each gear of the overhead wire is shown in fig. 3.

As can be seen from fig. 3, compared with the method provided in the embodiment of the present invention, the calculation result of the conventional method is smaller, and the deviation is the largest when there are only 1 concentrated loads (n is 1), which reaches 33.7%; the deviation of the traditional method is gradually reduced along with the increase of the number of concentrated loads, and when 20 concentrated loads are arranged at equal intervals in each gear, the deviation is reduced to 4.6%.

The ground wire horizontal stress after the warning aviation ball is installed is calculated by software based on a finite element method and used as a reference, and the results of the ground wire stress calculation by comparing the method provided by the embodiment of the invention with the results of the ground wire stress calculation by using the traditional method are shown in table 3. It can be seen that the stress result of the conventional method is smaller, and the calculation result of the method provided by the embodiment of the invention is more accurate.

TABLE 3

The method for determining the stress of the multi-concentrated-load continuous-gear overhead line provided by the embodiment of the invention not only can effectively describe the influence of the quantity, the position and the configuration mode of a plurality of concentrated loads, but also can avoid complex modeling and numerical calculation, and provides a new way for the engineering calculation of the continuous-gear multi-concentrated loads.

Referring to fig. 4, fig. 4 is a structural diagram of a determining apparatus 400 for multiple concentrated load continuous step overhead line stress according to an embodiment of the present invention, and as shown in fig. 4, the determining apparatus 400 for multiple concentrated load continuous step stress includes:

the establishing module 410 is used for establishing a multi-concentrated-load continuous-gear overhead line model based on actual scene parameters;

a first determining module 420, configured to determine that m consecutive gear overhead lines are configured with n at the i-th gear according to the multiple concentrated load consecutive gear overhead line model_iUnder the condition of concentrated load, the line length coefficient and the line length column vector of the ith gear; the line length coefficient and the line length column vector indicate that the ith gear overhead line is configured with n_iThe influence on the length of the ith gear overhead line during concentrated load;

a second determining module 430, configured to determine a representative span column vector of the multiple concentrated load continuous overhead lines according to the multiple concentrated load continuous overhead line model and the line length column vector of each overhead line;

a third determining module 440, configured to determine a first equivalent specific load row vector under a first weather condition according to a first overhead line specific load of a multi-concentrated load continuous gear overhead line under the first weather condition;

a fourth determining module 450, configured to determine a second equivalent specific load row vector under a second meteorological condition according to a second overhead line specific load of the multi-concentrated-load continuous-gear overhead line under the second meteorological condition;

a fifth determining module 460, configured to determine the stress of the multi-concentrated load continuous gear overhead line under the second meteorological condition according to the representative gear pitch column vector, the first equivalent ratio carrier vector, and the second equivalent ratio carrier vector of the multi-concentrated load continuous gear overhead line;

wherein n is_iAnd m are positive integers, and i is a positive integer less than or equal to m.

Further, the establishing module 410 may include:

building unitFor establishing m continuous gear overhead lines based on actual scene parameters and configuring n in ith gear_iA model under concentrated load;

wherein the actual scene parameter comprises an overhead line specific load gamma₀；

For the ith gear overhead line, the actual scene parameters further comprise the overhead line gear span l_i0Phase height difference angle beta_i0The unit section gravity tau of the jth concentrated load of the ith gear overhead line_ijThe horizontal normalized distance s from the jth concentrated load of the ith gear overhead line to one end of the ith gear overhead line_ijAnd the horizontal normalized distance t from the jth concentrated load of the ith gear overhead line to the other end of the ith gear overhead line_ij；

i is a positive integer less than or equal to m, j is less than or equal to n_iIs a positive integer of (1).

Further, the first determining module 420 may include:

a first determination unit for determining based onDetermining the first line length coefficient k_1i；

A second determination unit for determining based onDetermining the second line length coefficient k_2i；

A third determination unit for determining based onDetermining the line length column vector K_i0；

Wherein, γ₀For overhead line specific load, beta_i0For each phase height difference angle of overhead line l_i0Each gear span of the overhead line;

τ_ijthe unit section gravity, s, of the jth concentrated load on the ith gear overhead line_ijIndicating water at the jth gear overhead line that concentrates the load to one end of the ith gear overhead lineAverage normalized distance, t_ijRepresenting a horizontal normalized distance from a jth concentrated load on an ith gear overhead line to the other end of the ith gear overhead line;

i is a positive integer less than or equal to m, j is less than or equal to n_iIs a positive integer of (1).

Further, the second determining module 430 may include:

a fourth determination unit for determining based onDetermining a representative head angle β of said m consecutive gear overhead lines_rWherein l is_i0Each gear span, beta, of the m continuous gear overhead lines_i0The phase height difference angle of each gear is set;

a fifth determination unit for determining based onDetermining a representative range column vector ll of said m consecutive range overhead lines_rWherein, β_rIs said to represent a height difference angle, K_i0And constructing a line length column vector of each file of the m continuous file overhead lines.

Further, the first equivalence ratio carries a vector γ_XSatisfies the following conditions:γ_Xthe equivalent specific load of N concentrated loads is configured for the m continuous gear overhead lines under the first meteorological condition;

the second equivalence ratio carrier vector γ_YSatisfies the following conditions:γ_Ythe equivalent specific loads of the m continuous gear overhead lines are configured with N concentrated loads under the second meteorological condition;

wherein N satisfies:

further, the fifth determining module 460 may include:

a sixth determining unit for determining a representative span column vector ll according to the overhead line of the multi-concentrated-load continuous span_rThe equivalent specific load vector gamma under the first meteorological condition_XAnd an equivalent specific load vector γ in the second meteorological condition_YDetermining a state equation of the overhead line of the continuous gear of the multiple concentrated loads; the state equation of the multi-concentrated load continuous gear overhead line meets the following conditions:

wherein E is the elastic modulus of the continuous gear overhead line, alpha is the temperature expansion coefficient of the continuous gear overhead line, and beta_rIs said representative height difference angle, t_XIs the temperature value under the first meteorological condition, t_YIs the temperature value, σ, under the second meteorological condition_0XObtaining the stress of a multi-concentrated-load continuous gear overhead line under the first meteorological condition in advance;

a seventh determining unit, configured to determine, according to the equation of state of the multiple concentrated load continuous overhead line, a stress σ of the multiple concentrated load continuous overhead line under the second meteorological condition_0Y。

The device 400 for determining the stress of the multi-concentrated-load continuous-gear overhead line provided in the embodiment of the present invention can implement each process implemented by the method for determining the stress of the multi-concentrated-load continuous-gear overhead line in the method embodiment in fig. 1, and is not described herein again to avoid repetition.

Optionally, an embodiment of the present invention further provides a device for determining an overhead line stress of multiple concentrated loads in a continuous file, where the device includes a processor, a memory, and a computer program stored in the memory and capable of running on the processor, and when the computer program is executed by the processor, the computer program implements each process of the method for determining an overhead line stress of multiple concentrated loads in a continuous file, and can achieve the same technical effect, and in order to avoid repetition, details are not described here again.

The embodiment of the present invention further provides a computer-readable storage medium, where a computer program is stored on the computer-readable storage medium, and when executed by a processor, the computer program implements each process of the above-mentioned method for determining multiple concentrated load continuous-gear overhead line stress, and can achieve the same technical effect, and in order to avoid repetition, details are not repeated here. The computer-readable storage medium may be a Read-Only Memory (ROM), a Random Access Memory (RAM), a magnetic disk or an optical disk.

It should be noted that, in this document, the terms "comprises," "comprising," or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or apparatus. Without further limitation, an element defined by the phrase "comprising an … …" does not exclude the presence of other like elements in a process, method, article, or apparatus that comprises the element.

Through the above description of the embodiments, those skilled in the art will clearly understand that the method of the above embodiments can be implemented by software plus a necessary general hardware platform, and certainly can also be implemented by hardware, but in many cases, the former is a better implementation manner. Based on such understanding, the technical solutions of the present invention may be embodied in the form of a software product, which is stored in a storage medium (such as ROM/RAM, magnetic disk, optical disk) and includes instructions for enabling a terminal (such as a mobile phone, a computer, a server, an air conditioner, or a network device) to execute the method according to the embodiments of the present invention.

While the present invention has been described with reference to the embodiments shown in the drawings, the present invention is not limited to the embodiments, which are illustrative and not restrictive, and it will be apparent to those skilled in the art that various changes and modifications can be made therein without departing from the spirit and scope of the invention as defined in the appended claims.