JP2016099664A - System for supporting design of steel tower erection - Google Patents

Abstract

PROBLEM TO BE SOLVED: To find the minimum spacing distance between electric wires with high accuracy and easiness in spite of conditions related to the span between steel towers.SOLUTION: A computer 100 for calculation includes: a design information accept unit 141 which accepts input of design information including a design value of two transmission line towers disposed at both ends of the same span between towers; a closest approach position specification unit 142 which, based on the design information accepted by the design information reception unit 141, specifies the closest approach position and the closest approach distance obtained by minimizing the spacing distance between one electric wire and the other electric wire when one electric wire and the other electric wire suspended between the two transmission line towers are swung by a predetermined wind speed, using a nonlinear programming method; and a presentation unit 143 which proposes the closest approach position and the closest approach distance in a visible form.SELECTED DRAWING: Figure 2

Description

  The present invention relates to a steel tower column design support system.

  When the electric wire for power transmission is suspended with an appropriate slack (sag), the tension acting on the steel tower is relaxed, and the power transmission tower can be prevented from collapsing. On the other hand, there is a possibility that a short circuit or a ground fault may occur due to contact between the electric wires or between the electric wires and surrounding trees due to the shaking caused by the wind. For this reason, the technique which calculates | requires the separation distance with an electric wire beforehand when an electric wire is shaken with the wind is devised.

  In Patent Literature 1, when the periphery of the electric wire is divided into a plurality of areas according to the deflection angle of the electric wire and a tree is detected in any of the divided areas, a different formula is used for each area. It is described that the distance between the electric wire and the tree is obtained. In the transmission line position measurement processing disclosed in Patent Document 2, in order to obtain a suspended cable (catenary) curve, it is suspended by three arbitrary observation points on an overhead line connecting two support points that support the electric wire. Calculate a quadratic approximate curve of the overhead line.

  Patent Documents 1 and 2 disclose a technique for obtaining a separation distance from an electric wire suspended on a constructed transmission tower. However, even when designing a transmission tower, it is suspended on the same transmission tower. It is necessary to obtain the distance between the plurality of electric wires. At the time of design, in the design of the pole of the power transmission tower (design of the length of the armrest, vertical spacing of the armrest, etc.), the separation distance of the wire when the rolled wires were closest to each other was calculated. When the distance does not satisfy a predetermined standard, the design value of the armored column such as the length of the arm metal and the vertical interval of the arm metal is changed.

  One of the conventional methods for obtaining the separation distance between electric wires at the time of design is a planar method. Here, as shown in FIG. 13A, a case where a three-phase three-wire two-line electric wire is suspended between the power transmission tower 1 and the power transmission tower 2 will be described as an example. Note that each power transmission tower has a three-stage armor, and the power tower 1 and the power transmission tower 2 are substantially the same.

  As shown in FIG. 13 (a), as the distance from the transmission tower 1 or 2 increases, that is, as the distance from the intermediate point between the spans (between the transmission towers 1 and 2) increases, the sag of the electric wire increases. The swing can be greatest across the span. From this, it can be said that the electric wire swayed by the wind is most likely to approach at the intermediate point between the spans.

  Further, the swing angle of each swayed electric wire may be almost the same or different depending on the turbulence of the wind. In FIG. 13 (b), the wires (upper phase wires) C1 and C4 hung on the uppermost armrest swayed at the intermediate point between the spans (the position surrounded by the broken line in FIG. 13 (a)). An example of the change of the position of each electric wire is shown. In FIG. 13B, it is assumed that the wind blows from the right side to the left side. In addition, a white circle shows the position of the electric wires C1 and C4 in the location (end between spans) suspended by a brace, and a black circle shows the position of the electric wires C1 and C4 in the midpoint between spans. As shown in the drawing, the electric wires C1 and C4 swing within a range in which the fluctuation angle is increased or decreased to the average swing angle (average lateral swing angle).

  Based on the above, in the conventional planar method, the average value of the wire swing angle (average roll angle) with respect to the average wind speed at the intermediate point between the spans was obtained by calculation, and the average roll angle was obtained statistically. The minimum separation distance between the wires is determined based on the angle added with the fluctuation angle.

  Another conventional method is a span splitting method. 14A shows an overview of the span including the power transmission tower 1 and the power transmission tower 2, and FIG. 14B shows an enlarged view of a portion surrounded by a broken line in FIG. 14A. In the span splitting method, as shown in FIG. 14A, the electric wire between the spans of the transmission tower 1 and the transmission tower 2 is divided into a plurality of sections, and as shown in FIG. The three-dimensional coordinates are obtained, and the minimum separation distance between the electric wires is obtained based on the obtained three-dimensional coordinates of each division point.

Japanese Patent Laid-Open No. 11-252729 JP 2009-58254 A

  In the technique described in Patent Document 1, it is necessary to obtain a separation distance from the electric wire using a different formula for each divided area, and the processing becomes complicated. In the technique described in Patent Document 2, it is necessary to sequentially move an arbitrary point on the overhead line, and each time it is necessary to obtain an arc centered on the arbitrary point on the overhead line, the processing is complicated.

  In addition, in the planar method, the distance between the wires can be obtained without requiring a complicated process between the diameters of the transmission towers with almost the same loading columns. It is difficult to accurately determine the minimum separation distance between wires. In the span splitting method, it is possible to determine the separation distance between the wires even between the spans of transmission towers with significantly different poles or long spans, but depending on how to determine the location of the split points, And the position at which the wires are closest to each other may be misaligned, and the obtained minimum separation distance may not be accurate.

  The present invention has been made in view of such circumstances, and a tower column design support system capable of easily and accurately obtaining the minimum separation distance between electric wires regardless of the conditions relating to the span. The purpose is to provide.

The tower column design support system according to the first aspect of the present invention,
A design information receiving unit that receives input of design information including design values of two power transmission towers arranged at both ends of the same diameter;
Based on the design information received by the design information receiving unit, one electric wire suspended between the two power transmission towers and the other electric wire were shaken at a predetermined wind speed using a nonlinear programming method. When the distance between the one electric wire and the other electric wire is calculated, the closest distance at which the distance between the one electric wire and the other electric wire is minimum and the distance at the closest position A closest approach position specifying part for specifying a closest approach distance;
A presentation unit for presenting the closest approach position and the closest approach distance in a visually recognizable manner;
Is provided.

The electric wire is divided by the insulator provided on the arm of the power transmission tower, and the divided electric wire is connected via a jumper wire for electrically connecting the divided electric wire,
The closest approach specifying unit calculates a separation distance between the jumper line and the transmission tower when the jumper line is swung at a predetermined wind speed, and a separation distance between the jumper line and the transmission tower is minimum. The closest approach position may be specified.

  The presenting unit may present a correction plan for correcting the design values of the two power transmission towers based on the closest position specified by the closest approach specifying unit.

  The presenting unit may present the correction plan when the separation distance at the closest approach position is less than a predetermined value.

  The presenting unit may correct a design value of at least one power transmission tower among the two power transmission towers and present the corrected design value.

  According to the present invention, it is possible to easily and accurately obtain the minimum separation distance between electric wires regardless of the conditions relating to the span.

3 is a block diagram illustrating a hardware configuration of a computing computer according to Embodiment 1. FIG. 3 is a functional block diagram illustrating functions realized by a control unit of the computing computer according to Embodiment 1. FIG. It is the figure which showed the sag curve of the electric wire at the time of no wind in a certain span, and the sag curve of the electric wire at the time of rolling as a three-dimensional coordinate system. (A), (b) is a figure for demonstrating the method of calculating | requiring the separation distance between electric wires. It is a flowchart which shows the process of the steepest descent method. 3 is a flowchart showing a separation distance calculation process according to the first embodiment. It is an example which shows the aspect which presents the closest approach point etc. (A) is a figure for demonstrating other examples of presentation aspects, such as the closest approach part, (b) is another example which shows presentation aspects, such as a closest approach part. 10 is a flowchart showing a separation distance calculation process according to Modification Example 1. (A), (b), (c) is a figure which shows the example of the system which suspends the electric wire to a power transmission tower. (A), (b), (c) is a figure for demonstrating the method which calculates | requires calculation of the minimum separation distance about a multiconductor transmission line. It is a figure for comparing the calculation result of the minimum separation distance by the method according to the conventional method and the present invention. (A), (b) is a figure for demonstrating a conventional method. (A), (b) is a figure for demonstrating a conventional method.

(Embodiment 1)
Hereinafter, an embodiment for explaining a tower column design support system according to the present invention will be described.

  FIG. 1 shows a system configuration of a steel tower column design support system 1000 according to the first embodiment. The steel tower column design support system 1000 includes a computing computer 100. The computing computer 100 is assumed between the wires when the wires approach each other and the distance between the wires becomes the smallest from the design information (design value) based on the design drawing of the transmission tower created by the design engineer. The separation distance (minimum separation distance) is obtained, and information related to the obtained minimum separation distance is presented to the design engineer.

  Hereinafter, the configuration of the computing computer 100 will be described. The computing computer 100 includes a personal computer (PC) or the like, and includes an input unit 110, an output unit 120, a storage unit 130, and a control unit 140, as shown in FIG. The input unit 110, the output unit 120, and the storage unit 130 are connected to the control unit 140 via the bus 190.

  The input unit 110 is a user interface and includes input devices such as a keyboard and a mouse. The design engineer instructs the computing computer 100 to perform a desired process using an input device such as a keyboard and a mouse. The input unit 110 notifies the control unit 140 of an instruction received via the input device. The output unit 120 is also a user interface and includes a display device 121. The output unit 120 displays an image on the display device 121 under the control of the control unit 140.

  The storage unit 130 includes an HDD (Hard Disk Drive) or the like. The storage unit 130 stores various data programs necessary for the operation of the computing computer 100. The storage unit 130 stores an OS (Operating System) 131 for controlling each unit of the computing computer 100 and a separation distance calculation program 132 for obtaining a minimum separation distance between electric wires. Furthermore, the storage unit 130 has a design information storage area 133 for storing design information based on a design drawing designed by a design engineer.

  The control unit 140 includes a CPU (Central Processing Unit), a work memory, and the like, executes the OS 131 stored in the storage unit 130, and controls each unit of the computing computer 100.

  Further, the control unit 140 operates as the design information receiving unit 141, the closest approach position specifying unit 142, and the presentation unit 143 shown in FIG. 2 by executing the separation distance calculation program 132, and realizes the following functions. .

  The design information reception unit 141 receives information input based on the design drawings of the two power transmission towers. In the present embodiment, the design information receiving unit 141 includes the placement data and the span data (hereinafter referred to as the separation distance calculation data) necessary for calculation of the separation distance stored in advance in the design information storage area 133 by the design engineer. ) Is read out, and the read out distance distance calculation data is output to the closest approach position specifying unit 142. The design information receiving unit 141 may perform conversion processing or the like on the separation distance calculation data read from the design information storage area 133 as necessary.

  The closest approach position specifying unit 142 minimizes the separation distance between the wires when the wires suspended on the two power transmission towers are shaken based on the separation distance calculation data supplied from the design information receiving unit 141. The closest approach position is obtained, and the separation distance (minimum separation distance) at that time is calculated. The closest approach position and the minimum separation distance obtained by calculation are stored in the storage unit 130. The presentation unit 143 presents the closest approach position and the minimum separation distance in a manner that can be visually recognized via the output unit 120. Furthermore, the presentation unit 143 may present a correction plan for correcting the design values of the two power transmission towers based on the closest approach position and the minimum separation distance.

  Hereinafter, a method for obtaining the minimum separation distance will be described. In the following description, it is assumed that the electric wire is supported on the transmission tower in a tension system. Moreover, in the following description, only the roll of the electric wire due to the wind is considered, and the influence on the roll of the electric wire due to the insulator and the load of the electric wire is not considered.

  Generally, it is known that the shape of an electric wire suspended on a power transmission tower is determined by the tension and weight of the electric wire and follows a catenary curve. Therefore, if the position of the support point and the span length are determined, the shape of the electric wire when there is no wind can be obtained.

Figure 3 shows the sag curve showing the sag (the slack) of the wire W _A of a no-flow condition at a certain span, the sag curve of the wire W _A during rolling as a three-dimensional coordinate system. Here, one of the support points for supporting the wire W _A (support point 1) shows the suspension position in cross-arm of the transmission tower 1, the other support point (support point 2), the transmission tower 2 in cross-arm Indicates the suspension position.

Coordinates _P S1 showing the position of the support point _{1 (x S1, y S1,} z S1) , the latitude of the construction site of the transmission tower 1, longitude and altitude, the height of transmission tower 1, the target of the suspension of the electric wire _{W A} the height position in the transmission tower 1 of cross-arm comprising the wire W _a is determined by the length of the cross-arm to be suspended. The height position of the armrest in the power transmission tower 1 and the length of the armrest are obtained from the design values of the columns of the power transmission tower 1. The control unit 140 of the calculation computer 100 reads out the distance calculation data stored in the storage unit 130 (design information storage area 133) and supports it based on information related to the transmission tower 1 included in the distance calculation data. The coordinate _{PS1 of the} point 1 is obtained. Further, the control unit 140 also has the coordinates P _S2 (x _S2 , y _S2 , z _S2 ) of the support point 2 in the same manner as the support point 1 based on the information related to the transmission tower 2 included in the separation distance calculation data. Ask.

Here, wire W _A is, if you roll angle theta _A, it will be described a change in the position of an arbitrary point A of the wire W _A. The position of the point A is represented by three-dimensional coordinates (xx _A , yy _A , zz _A ). Here, the position of the point A of the electric wire _{W A} of a no-flow condition is represented by coordinates _{P A0 (xx A0, yy A0} , zz A0), the position of the point A is moved by rolling the coordinates _P A1 _(xx A1, yy _A1 and zz _A1 ). 3, α is the vertical angle between the support points, and β is the projected horizontal angle between the support points when the center of the tower is the x axis (the horizontal angle between the support points is projected onto the xy plane. Α and β are values uniquely determined based on the positions of the support point 1 and the support point 2. Each component of the coordinate P _{A1 at} this time is obtained as shown in Equation 1.

Here, [Delta] x _A, as shown in FIG. 4 (a), indicates the distance of the x-coordinate of the point of support 1 x coordinates and the point A, a Δx _A = _xx A0 _{-x S1.} d (Δx _A) is a sag of the wire _{W A} in the coordinate _{P A1.} Sag at this time, the position of the wire W _A, wind speed, overhead wire tension, span length, wire weight, determined by the height difference between the support points.

Here, T _c is the wire tension (horizontal component), w _c wire mass in the unit length, G represents the gravitational acceleration, q ₁ is the load factor (synthetic load applied to the wire W _A (wire weight and snow accretion weight and wind load The vector sum) and the ratio of the wire weight), S is the span length, and h is the height difference of the support points. As the values of the wire tension T _c , the wire mass w _c in the unit length, and the gravitational acceleration G, predetermined values are stored in the storage unit 130. Further, the span length S and the height difference h can be obtained from the coordinates P _S1 and P _S2 of the support point 1 and the support point 2. As described above, the coordinates P _A1 indicating the position of the arbitrary point _A on the electric wire WA moved due to the roll and the sag d (Δx _A ) at the position can be obtained.

Next, a description will be given of how to obtain the distance between arbitrary points of two electric wires when rolling. Wire _{W A,} wire _W arbitrary point was A, and B on _B, wire _{W A,} wire _{W B} point when the roll is A, position each coordinate _P of the point _{B A1 (xx A1, yy A1} , zz _A1 ) and coordinates P _B1 (xx _B1 , yy _B1 , zz _B1 ). One support point for supporting the wire _{W A} position of the (support point 1) the coordinates _{P S1 (x S1, y S1} , z S1), the position of the other support point for supporting the wire _{W A} (support point 2) coordinates _{P S2 (x S2, y S2} , z S2), one of the support points for supporting the wire _{W B} (support point 3) of the position coordinates _{P S3 (x S3, y S3} , z S3), the wire _{W B} Assume that the position of the other support point (support point 4) to be supported is represented by coordinates P _S4 (x _S4 , y _S4 , z _S4 ). At this time, the distance between the coordinates P _A1 and the coordinates P _B1 (the distance between the point A and the point B after movement) D _AB is expressed by the following equation.

Here, each component of the coordinates P _A1 indicating the position of point A after movement, the number 1 above the sag of the wire W _A in the coordinate P _A1, when determined using the number 2, as shown in Equation 4 Become.

In several 4, [Delta] x _A is the distance between the wire W _A support point 1 and the point A of the on x-axis. d _A is the sag of the wire _{W A} at the position of the point A.

Next, each component of the coordinates P _B1 indicating the position of a point B after the movement, the number 1 above the wire W _B dip at the coordinates P _B1, when determined using the number 2, as shown in Equation 5 .

In a few 5, [Delta] x _B is the distance on the x-axis of the support point 3 and the point B of the wire _{W B.} d _B is the slackness of the wire _{W B} at the position of point B.

As described above, α and β are values uniquely determined based on the positions of the support point 1 and the support point 2 (or the support point 3 and the support point 4). Therefore, from the above equations 3 to 5, the distance D _AB between the two wires W _A and W _B at the time of rolling is the distance between the wires W _A and W _{B in} the span direction, as shown in Equation 6. it can be determined by a function F _D of the coordinates x and transverse deflection angle θ of the coordinate variables.

The values of the coordinates x _A and the horizontal deflection angle theta _A for wire W _A, the coordinates x _B and the horizontal deflection angle theta _B for the wire W _B can take is limited to a specific range as shown in Equation 7 . Minimum value of the coordinate x _A1 possible values for the electric wire W _A is the x-coordinate of the support point 1, the maximum value is the x-coordinate of the support point 2. Minimum value of the coordinate x _B possible values for the electric wire W _B is the x-coordinate of the support point 3, the maximum value is the x-coordinate of the support point 4.

That is, the electric wire W _A - in order to determine the minimum separation distance between the wires W _B, under the constraint shown in Equation 7 may be obtained the minimum value of the function shown in Equation 6. That is, the electric wire W _A - Method for obtaining the minimum separation distance between the wires W _B is the same as the minimization problem of a function represented by multiple variables. Therefore, in order to obtain the minimum separation distance, a general nonlinear programming problem solution can be adopted.

  Common nonlinear programming problems include a steepest descent method and a conjugate gradient method. As an example, the steepest descent method will be described with reference to FIG. Here, a function f (X) having X as a variable represented by the following expression is an objective function, and a minimum value of the function f (X) is obtained.

First, as shown in FIG. 5, an initial value X ^k (k = 0) of X and an appropriate learning coefficient α are selected (step S101). Here, X ^k is an approximate solution in the k-th step. Further, k is set to 0 (step S102).

  Next, as shown in Equation 9, the absolute value of the gradient of the function f is obtained, and it is determined whether or not the absolute value of the gradient of the function f is equal to or less than a predetermined value ε (ε: a sufficiently small positive value). (Step S103).

  Since the gradient of the function f is a differential value of the function f, it can be obtained from Equation 10.

If it is determined that the absolute value of the gradient of the function f is equal to or smaller than the predetermined value ε (step S103; Yes), ^Xk is set as an approximate solution (step S104), and the process is terminated.

On the other hand, when it is determined that the absolute value of the gradient of the function f is larger than the predetermined value ε (step S103; No), the gradient of the function f is learned from the current value of X (X ^k ) as shown in Equation 11. A value obtained by subtracting the value multiplied by the count α is set as the value (X ^{k + 1} ) of the next function (step S105).

  Furthermore, the value of k is added (step S106), and step S103 and subsequent steps are executed again.

  In the present embodiment, the computing computer 100 obtains the minimum value of the objective function by employing the solution of the nonlinear programming problem of the steepest descent method in order to obtain the minimum separation distance between the two wires.

  Hereinafter, the flow of the separation distance calculation process in which the computing computer 100 obtains the minimum separation distance between the electric wires is shown.

  First, prior to the execution of the separation distance calculation process, the design engineer creates design drawings (pillar diagrams) of the two power transmission towers 1 and 2. The design engineer obtains the distance calculation data based on the created design drawing, and inputs the calculated distance calculation data via the input unit 110. The control unit 140 stores the input separation distance calculation data in the design information storage area 133 of the storage unit 130 in accordance with the operation of the design engineer.

  Thereafter, the design engineer instructs activation of the separation distance calculation program 132 via the input unit 110. In response to the instruction from the design engineer, the control unit 140 executes the separation distance calculation program 132 and functions as the above-described design information reception unit 141, closest approach position specifying unit 142, and presentation unit 143. The separation distance calculation process shown in FIG.

Hereinafter, a case where a three-phase three-wire two-line electric wire is suspended on a power transmission tower will be described as an example. Here, the distance (the closest approach distance) between the wires when the two selected wires among the six wires are closest to each other under a certain wind speed condition (for example, a wind speed of 20 meters or less / second) is obtained. . Then, the closest approach distances of all the wire combinations, that is, the ₆ C ₂ combinations (15 combinations) are obtained, and the smallest value among the 15 closest combinations is specified as the minimum separation distance. To do. Information indicating the wind speed condition is stored in advance in the design information storage area 133 by the design engineer.

  First, the control unit 140 reads the distance calculation data stored in the design information storage area 133 (step S201), and stores the read distance calculation data in the temporary area of the storage unit 130. Furthermore, a control part calculates | requires the combination of the electric wire used as the calculation object of separation distance, and memorize | stores the information of 15 types of electric wire combinations in the temporary area | region of the memory | storage part 130 (step S202).

Next, the control unit 140 selects one combination of the combinations of 15 types, separation distance between the wires when the two wires of the selected combination (wire W _A and the wire W _B) is closest The closest approach distance is calculated, and the closest approach distance obtained by the calculation is stored in the temporary area of the storage unit 130 (step S203). Specifically, the control unit 140 based on the distance calculation data stored in the design information storage area 133, first, the wire W _A, 3-dimensional coordinates P _S1 showing the position of the support point 1 shown in FIG. 3 (X _S1 , y _S1 , z _S1 ) and three-dimensional coordinates P _S2 (x _S2 , y _S2 , z _S2 ) indicating the position of the support point 2 are obtained. Support points 1, 3-dimensional coordinates P _S1, P _S2 of the support points 2, information about each construction site of transmission tower 1 and 2, the length of the cross-arm of the electric wire W _A is suspended, the cross-arm high It is calculated based on the position. Information (latitude / longitude, altitude, etc.) about the construction sites of the transmission towers 1 and 2, the length of the arm bracket, the height position of the arm bracket, and the like are included in the distance calculation data. Similarly, the control unit 140 obtains the three-dimensional coordinates of the two support points of the wire W _B.

Next, the control unit 140, the electric wire _W A, the _{W B,} obtains the constraints shown in equation (7). First obtained from the wire _{W A} line-direction coordinate _{x A} 2 one support point 1 (x-axis direction of the coordinates shown in FIG. 3) ranges can take the three-dimensional coordinates _P S1 showing the position of the support point _{2, P S2} . Here, the range of possible values is line-direction coordinate _{x A is} a _{x s1 <= x A <=} x s2. Similarly, the control unit 140 determines the range of the line-direction coordinate x _B can take the value of the electric wire W _B.

Further, the control unit 140, the electric wire _W A, the deflection angle of _{W B} theta _A, determine the theta _B. The control unit 140 calculates the average lateral shake angles mean (θ _A ) and mean (θ _B ) (hereinafter referred to as the average values of the lateral deflection angles θ _{A and} θ _B as mean (θ _A ) and mean (θ _B ) shown in Equation 7. Or the values of wind speed conditions, wire weight, wire tension, etc., to obtain θ _A and θ _B , using the values of wind speed condition, wire weight, wire tension, etc. ) No. 220, Insulation Design Guidelines for Overhead Power Transmission Lines "(published by the Institute of Electrical Engineers of Japan, see May, 1986, p. 53)). Remember. It is assumed that the wind speed condition, the electric wire weight, and the electric wire tension are stored in the storage unit 130 in advance.

さらに、制御部１４０は、変動角ｎσ_Ａ、ｎσ_Bを求めるため、径間長、負荷係数、電線張力、風速の係数等を使用して、以下の数１３に基づいて、所定の演算を実行し、求めた値を記憶部１３０に記憶する。数１３における、ａ、α、β、Ｋ等のパラメータは所定の演算により求められ（「電気学会技術報告（２部）第２２０号，架空送電線路の絶縁設計要綱」（社）電気学会発行、昭和６１年５月、第５４頁参照）、予め記憶部１３０に記憶されているものとする。

Further, the control unit 140 executes a predetermined calculation based on the following Equation 13 using the span length, the load coefficient, the wire tension, the wind speed coefficient, and the like in order to obtain the fluctuation angles nσ _A and nσ _B. The obtained value is stored in the storage unit 130. In Equation 13, parameters such as a, α, β, and K are obtained by a predetermined calculation (“Technical Report of the Institute of Electrical Engineers (Part 2) No. 220, Insulation Design Guidelines for Overhead Transmission Lines” published by the Institute of Electrical Engineers of Japan, It is assumed that it is previously stored in the storage unit 130 in May 1986, see page 54).

And the control part 140 calculates | requires the minimum value of the objective function under the constraint conditions (Equation 7) calculated | required as mentioned above using the expression shown in Formula 3 as an objective function, and using the steepest descent method. Minimum value found in this way becomes the minimum separation distance of the electric wire W _A and the wire W _B. In addition, the control unit 140, a position at which the wire W _A and the wire W _B is closest in span, for example, determined as the coordinate value of the three-dimensional, obtained position and the distance of closest approach (the minimum value of the objective function Is stored in the storage unit 130 together with information indicating the combination of the corresponding electric wires.

  Next, the control unit 140 determines whether or not the calculation of the closest approach distance between the wires has been completed for all the combinations, and if not completed (Step S204; No), executes the processing after Step S203 again.

  On the other hand, when the control unit 140 determines that the calculation of the closest approach distance between the wires has been completed for all the combinations (step S204; Yes), the value is the smallest among the 15 closest approach distances stored in the storage unit 130. The closest approach distance is selected as the minimum separation distance (step S205). The control unit 140 presents the selected closest approach distance (minimum separation distance) and its position (closest approach location) in a visible manner (step S206). Specifically, the control unit 140 causes the display device 121 to display a screen indicating the minimum separation distance and the closest approach point. A specific mode displayed on the display device 121 will be described later.

  Here, the processing for calculating the minimum separation distance under a certain wind speed condition has been described. However, when a plurality of wind speed conditions are designated, the control unit 140 shows each wind speed condition in FIG. It is also possible to repeatedly execute the processing shown to present the minimum separation distance in each wind speed condition.

  FIG. 7 shows an example of a screen that the control unit 140 displays on the display device 121 in step S206. In the example shown in FIG. 7, the figure which showed typically the mode of the two power transmission towers on the screen left side is shown. Here, reference numerals are attached to the armatures of one power transmission tower, one of the armatures on which the overhead ground wire (not subject to calculation in the above description) is suspended, L1C0, the other is L2C0, L1C1 for one of the armatures on which the wire is suspended, L2C1 for the other, L1C2 for one of the arms for which the middle phase wire is suspended, L2C2 for the other, L1C3 for one of the armatures for which the lower phase wire is suspended, The other is L2C3. It is assumed that the minimum separation distance is calculated for each of the two wind speed conditions (20 meters or less per second, exceeding 20 meters per second).

  In the example shown in FIG. 7, on the left side of the screen, for each wind speed condition, the set of electric wires having the smallest closest approach distance among the 15 closest approach distances obtained by the control unit 140 and the separation distance between the lines are minimum. The position (the closest approach point) is shown. Further, on the right side of the screen, for each wind speed condition, the closest wire pair and the minimum separation distance are displayed. Here, when the wind speed condition is 20 meters per second or less, the two wires suspended between L1C1 and L2C2 are closest to each other, the minimum separation distance is 7.8 meters, and the wind speed condition exceeds 20 meters per second. In the case of, the example is shown in which the two wires suspended between L2C2 and L2C3 are closest to each other, and the minimum separation distance is 5.8 meters.

  Further, the control unit 140 may display the following screen on the display device 121. Here, it is assumed that the minimum separation distance is calculated for one wind speed condition. When the X, Y, and Z axes are taken as shown in FIG. 8A, the control unit 140 displays a diagram in which the position of each electric wire is projected on the XZ plane, the XY plane, and the YZ plane on the display device 121. . FIG. 8B shows an example of a screen displayed on the display device 121. Here, as an example, the results are shown when the closest distance between two wires suspended between L1C0 and L2C0 shown in FIG. 8A is measured. By displaying in this manner, the design engineer can visually grasp the state of the electric wire when the electric wire is closest. Furthermore, by displaying a figure projected on the XZ plane, the XY plane, and the YZ plane, the design engineer saw the other steel tower in the direction along the span from one steel tower when viewing the span from the sky. In this case, the distance between the wires can be visually recognized from the three directions when the span is viewed from the side. Furthermore, when displaying the screen shown in FIG. 8B, the control unit 140 may also display the separation distance of the electric wires.

  Furthermore, the control unit 140 may present a correction proposal that can ensure a sufficient separation distance between the electric wires. For example, the control unit 140 may perform a simulation on the design value of the power transmission tower, obtain a corrected design value of the power transmission tower, and cause the display device 121 to display the obtained corrected design value. Alternatively, the control unit 140 may output the modified design value as data in a format that can be converted into CAD (Computer Aided Design) data (for example, vector format data). Alternatively, the control unit 140 does not present the corrected design value, but for example, it is desirable to lengthen the upper phase armrest to the left and right by 10 centimeters, respectively, and a guideline for correcting the design drawing. Such information may be presented. At this time, the control part 140 should just show the information used as the guideline at the time of correcting the design value or blueprint after correction | amendment about at least 1 transmission tower.

  As described above, in the tower column design support system 1000 according to the present embodiment, the minimum separation distance between the wires is obtained by obtaining the minimum value of the objective function under the constraint conditions. In this way, the closest approach distance between the electric wires is regarded as a function obtained from the catenary curve, and the closest approach position between the electric wires is evaluated as a continuous value instead of a discrete value by applying nonlinear programming. Therefore, for example, the location conditions of the two steel towers are greatly different, for example, the poles of the two power transmission towers at both ends of the span are greatly different, or there is a difference in elevation between the construction sites of the two power towers with long span Even if they are different, the minimum separation distance between the electric wires can be obtained by appropriately obtaining the coordinate values and constraint conditions of the support points 1 and 2 shown in FIG. That is, the minimum separation distance between the electric wires can be easily obtained regardless of the condition relating to the span. Furthermore, in the conventional span splitting method, the calculation accuracy may be reduced depending on how the position of the split point is determined. However, according to the above-described method, it is possible to perform highly accurate calculation.

(Example)
Hereinafter, the closest approach distances of the two electric wires (A, B) were obtained by the division method (spanning division method) and the present method, respectively, and the results were examined. Table 1 shows the distance calculation examination conditions. Here, when the wind speed was changed from 2 m / s to 40 m / s, the distance when the separation distance of the electric wire was the smallest was determined as the closest approach distance. Table 2 shows design conditions relating to the overhead wires of the electric wires.

In this method, firstly, on the basis of the data in Table 1 and Table 2, the electric wire W _A, W x _A coordinate of the position of _B, x _B together determine coordinates, the horizontal deflection angle theta _A is a restriction condition shown in Equation 7 , Θ _B are obtained as upper and lower limit values. Next, under this limiting condition, θ _A , θ _B, x _A , and x _B indicating the minimum values of the function of Equation 6 are obtained using the steepest descent method or the like based on the function shown in Equation 6. with, on the basis of this result, distance between the wire W _a and W _B can identify the closest position and the closest distance to a minimum.

図１２に、分割法について、分割数を変えた場合の最接近距離をプロットした。分割数については、基準とした分割数（径間方向に２５分割・横振れ方向１０分割）に対する倍率で示している。例えば、分割倍率＝２は、径間方向５０分割・横振れ方向２０分割となる。分割倍率＝１６で、径間方向４００分割・横振れ方向１６０分割である。なお、径間方向と横振れ方向の分割数の比は固定されている。 Table 3 shows the result of the closest approach distance between the two electric wires (A, B) obtained by the division method and this method. The X axis is the horizontal component direction of the line connecting the centers of the two towers that support the electric wire to be examined, the Y axis is the horizontal component direction of the line orthogonal to the X axis, and the Z axis is the height direction. The origin (Y, Y, Z) = (0, 0, 0) is the front steel tower center (ground surface) between the examination target diameters.

FIG. 12 plots the closest approach distance when the number of divisions is changed for the division method. The number of divisions is indicated by a magnification with respect to the reference number of divisions (25 divisions in the span direction and 10 divisions in the lateral direction). For example, the division magnification = 2 is 50 divisions in the span direction and 20 divisions in the lateral direction. The division magnification = 16, the division in the span direction is 400 divisions, and the lateral deflection direction is 160 divisions. It should be noted that the ratio of the number of divisions in the span direction and the lateral deflection direction is fixed.

  Since this method does not depend on the number of divisions, it is displayed as a horizontal straight line on the graph. The accuracy of the division method increases as the number of divisions n is increased, but FIG. 12 shows that as the number of divisions increases, the closest approach distance of the division method gradually approaches the closest approach distance of the present method. Yes. The closest approach distance obtained by this method is close to the value obtained by the division method when the number of divisions is large, and high accuracy is obtained. The division method converges to an exact solution (= correct answer) with the number of divisions n → ∞, suggesting that the present method is almost an exact solution. In addition, the division method increases the calculation amount exponentially and the calculation time increases as the number of divisions is increased. However, the calculation time of this method is constant, and the accurate solution can be obtained efficiently. Is an advantage.

In addition, this invention is not limited to the said embodiment, A various deformation | transformation and application are possible.
In the above-described embodiment, the smallest closest approach distance among the closest approach distances obtained for each of the 15 combinations is presented as the minimum separation distance. For example, when the closest approach distance is less than a predetermined threshold, this is true. Information on the closest approach distance may be presented. FIG. 9 shows a flow showing the separation distance calculation process according to the first modification. Since the process from step S201 to S204 is the same as that of Embodiment 1, description is abbreviate | omitted here.

  In step S204, when the control unit 140 determines that the calculation of the closest approach distance between the wires has been completed for all combinations (step S204; Yes), the 15 closest approach distances stored in the storage unit 130 are It is determined whether or not the value is less than a threshold value (step S205a). The control unit 140 presents the closest approach distance determined to be less than the threshold and the position thereof in a visible manner (step S206a).

  Further, the control unit 140 may present a correction plan that can sufficiently secure the separation distance between the wires when it is determined in step S205a of the flow shown in FIG. 9 that the closest approach distance is less than the threshold value. Good. For example, the control unit 140 may perform simulation on the design value of the transmission tower, obtain a modified design value of the transmission tower, display the obtained modified design value on the display device 121, or The design value may be output as data in a format that can be converted into CAD data (for example, vector format data). Alternatively, the control unit 140 does not present the corrected design value, but for example, it is desirable to lengthen the upper phase armrest to the left and right by 10 centimeters, respectively, and a guideline for correcting the design drawing. Such information may be presented (displayed on the display device 121). At this time, the control part 140 should just show the information used as the guideline at the time of correcting the design value or blueprint after correction | amendment about at least 1 transmission tower.

  In the first embodiment, the tension-type transmission tower has been described as an example. However, there are various systems for suspending the electric wire to the transmission tower. FIG. 10 illustrates several methods for suspending electric wires to the power transmission tower. Generally, an electric wire is supported by a power transmission tower through a insulator made of porcelain or the like in order to ensure insulation. Further, when the transmission voltage is high, a plurality of insulators are used. FIG. 10A shows an I-suspended suspension system. Here, the left and right sides of the drawing are the track direction, and the insulator 1 is suspended from the tip of the armrest, and the wire 1 is suspended from the tip of the insulator 1. Also in the suspension system shown in FIG. 10A, the minimum separation distance between the electric wires can be obtained as in the first embodiment.

  FIG. 10B shows a case where the left and right sides of the drawing are the track direction, and the brace is viewed from a direction perpendicular to the track direction. Here, two sets of insulators 1 and 2 are respectively hung on the left and right sides of the armrest (the front portion and the rear portion of the armrest in the track direction), and the electric wire 1 is divided by the insulators 1 and 2. Furthermore, a jumper wire for electrically connecting the divided electric wire 1A and electric wire 1B is hung on the distal ends of the insulators 1 and 2. Even when the jumper wires shown in FIG. 10B are included, the minimum separation distance between each of the electric wires 1A and 1B and the other electric wires can be obtained.

  FIG. 10C shows a case where the depth direction of the paper surface is the track direction and the arm metal is seen in the track direction. Here, two sets of insulators are arranged in a V shape when viewed from the line direction, and the electric wire 1 is supported at the lower end (V suspension type suspension system). Also in this case, the minimum separation distance between the electric wires can be obtained as in the first embodiment.

  Further, for the jumper wires shown in FIG. 10B, the positions of the jumper wires at one end and the other end (coordinate values indicating the positions) are the tension of the electric wires 1A and 1B, the electric wire weight, the number of insulators, the weight of the insulator, etc. Based on. Therefore, the minimum separation distance between the jumper line and the transmission tower is obtained by the same method as in the first embodiment, with the range in which the jumper line swings as the constraint condition and the function indicating the separation distance between the jumper line and the transmission tower as the objective function. Can do.

In the above description, an example in which one-phase electric wire is one electric wire (single conductor) has been described. However, for example, even in the case of a multi-conductor power transmission line, the minimum separation distance between electric wires can be obtained. FIG. 11A shows a schematic cross-sectional view when a six-conductor transmission line composed of six electric wires in one phase is viewed in the line direction. Here, two lines of electric wires 10 and 20 which are multiconductors are illustrated. Spacers 12 and 22 are provided between the six electric wires constituting each phase. With the spacers 12 and 22, the six electric wires (11 a to 11 f and 21 a to 21 f) are arranged in a substantially hexagonal shape with a predetermined distance. Furthermore, by providing the spacers 12 and 22, the six electric wires (11 a to 11 f and 21 a to 21 f) are shaken as one body while maintaining a predetermined interval even if there is a roll due to the wind. . Therefore, when obtaining the minimum separation distance between the electric wire 10 and the electric wire 20, an arbitrary point taken on the axis in the line direction passing through the center points A and B of the electric wires 10 and 20 is determined as the electric wire described above. W _a, is regarded as an arbitrary point of the wire W _B, may be obtained the position as the distance is minimized. When presenting the minimum separation distance, a value obtained by subtracting the respective radii of the electric wires 10 and 20 from the obtained minimum separation distance may be presented.

  When one phase has four conductors, as shown in FIG. 11 (b), one line has two conductors at any point on the axis in the line direction passing through the center points C and D of the electric wires 30 and 40. In this case, as shown in FIG. 11 (c), the minimum distance may be obtained for any point on the axis in the line direction passing through the center points E and F of the electric wires 50 and 60.

  Furthermore, the above method can also be employed when determining the minimum separation distance between the electric wire and the tree under the electric wire. In this case, the range in which the electric wire swings and the tree under the wire, for example, the range in which the tip portion sways may be set as the constraint conditions. When the above method is adopted, not only the collapse of trees in the direction perpendicular to the track direction but also the collapse of trees in other directions (track direction, etc.) can be taken into account. Can be calculated with higher accuracy.

  In the above embodiment, only the wind is considered as a condition affecting the roll of the electric wire, and the description of the load on the insulator and the electric wire is omitted, but the roll of the electric wire caused by the load on the insulator and the electric wire is omitted. It is also necessary to consider the impact on the environment.

  In the above-described embodiment, the design engineer inputs the separation distance calculation data via the input unit 110, whereby the separation distance calculation data is supplied to the computing computer 100. The supply method is not limited to this. For example, the computing computer 100 may include a communication interface, and the distance calculation data may be supplied from another computer connected via a network.

  Further, in the above-described example, the example in which the distance calculation data obtained based on the design drawing created by the design engineer is input to the computing computer 100 has been described. Alternatively, a design engineer may create a design drawing by executing a CAD program already installed in the computing computer 100 and store the CAD data of the created design drawing in the storage unit 130. In this case, prior to the execution of the separation distance calculation process shown in FIG. 6, the control unit 140 executes a process of converting the CAD data into data in a format suitable for the separation distance calculation process (for example, vector format data). To do. Alternatively, CAD data may be supplied to the computing computer 100 from another computer connected via a network.

  In the above example, the steepest descent method is adopted as a method for solving the nonlinear programming problem. Alternatively, a conjugate gradient method may be used.

In the above example, when the three-phase three-wire two-line electric wire is suspended, the separation distance between the electric wires is calculated for the six electric wires. However, the separation distance between the overhead ground wire and the electric wire is also calculated. You may make it calculate. In this case, in order to obtain the separation distance when the two selected electric wires among the eight electric wires including the overhead ground wire are closest, the closest approach distance of the ₈ C ₂ combinations (28 combinations) And the smallest value among the closest approach distances related to the 28 combinations may be specified as the minimum separation distance.

  The tower column design support system according to the present invention can be realized by using a normal computer system without using a dedicated system. For example, a computer readable recording such as a flexible disk, a CD-ROM (Compact Disk-Read Only Memory), a DVD (Digital Versatile Disk), or a MO (Magneto Optical Disk) is stored in a computer. A display control device or a control device that executes the above-described processing may be configured by storing and distributing in a medium and installing it in a computer system. Furthermore, the program may be stored in a disk device or the like included in a server device on the Internet, and may be downloaded onto a computer by being superimposed on a carrier wave, for example.

100 computing computer 110 input unit 120 output unit 121 display device 130 storage unit 131 OS
132 distance calculation program 133 design information storage area 140 controller 141 design information receiving unit 142 closest position specifying unit 143 presenting unit 190 bus 1000 towers Sohashira design support system _W A, _{W B} wire

Claims (6)

A design information receiving unit that receives input of design information including design values of two power transmission towers arranged at both ends of the same diameter;
Based on the design information received by the design information receiving unit, one electric wire suspended between the two power transmission towers and the other electric wire were shaken at a predetermined wind speed using a nonlinear programming method. The coordinates x _A , x _B and the side-touch angles θ _A , θ _B that minimize the separation distance between the one electric wire and the other electric wire are obtained, and based on the results, the one electric wire and the other electric wire are obtained. A closest approach position specifying unit that specifies a closest approach position and a closest approach distance at which the separation distance from the electric wire is minimum;
A presentation unit for presenting the closest approach position and the closest approach distance in a visually recognizable manner;
Steel tower design support system with The separation distance is obtained based on the following equation consisting of the coordinates x _A , x _{B of the} one electric wire and the other electric wire and the side touch angles θ _A , θ _B.
The tower column design support system according to claim 1.
D _AB = F _D (x _A , θ _A , x _B , θ _B ) The electric wire is divided by the insulator provided on the arm of the power transmission tower, and the divided electric wire is connected via a jumper wire for electrically connecting the divided electric wire,
The closest approach specifying unit calculates a separation distance between the jumper line and the transmission tower when the jumper line is swung at a predetermined wind speed, and a separation distance between the jumper line and the transmission tower is minimum. Identify the closest approach,
The tower column design support system according to claim 1 or 2. The presenting unit presents a correction plan for correcting the design values of the two power transmission towers based on the closest position specified by the closest approach specifying unit.
The steel tower column design support system according to any one of claims 1 to 3. The presenting unit presents the correction proposal when the separation distance at the closest approach position is less than a predetermined value.
The steel tower column design support system according to claim 4. The presenting unit corrects a design value of at least one power transmission tower among the two power transmission towers, and presents the corrected design value.
The steel tower column design support system according to any one of claims 1 to 5.

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