Optimal calculation method for line length between large-span tower poles in difficult area

Abstract

The invention belongs to the technical field of length measurement, and discloses an optimal calculation method for the length of a line between large-span tower poles in a difficult area. According to the optimal calculation method for the length of the line between the large-span tower poles in the difficult area, when the length of the line between the large-span tower poles is accurately calculated in the difficult area, a prism or a reflector plate does not need to be arranged at a to-be-solved point for distance measurement, and only the horizontal direction value and the zenith angle need to be read by aiming at the same target; three-dimensional coordinates of a point to be solved are solved through corner resection, and then the line length between the tower poles is accurately obtained. According to the method, the calculation process is simplified, the efficiency is improved, and the engineering cost is saved while the calculation result precision is ensured.

Description

Technical Field

[0001] The present invention belongs to the technical field of length measurement, and particularly relates to an optimal calculation method for the length of the line between large-span tower poles in difficult areas. Background Art

[0002] Before the bidding stage, in order to make the length of the wire between tower poles relatively accurate, design units are usually invited to carry out line planning and design (design on topographic maps / image maps). Generally, due to inaccurate design, there will be a large error in calculating the length of the line between tower poles, resulting in economic losses. Similarly, during the construction preparation stage, the construction unit also needs to accurately determine the length of the wire between tower poles to accurately determine the length of the wire to be purchased, avoid wire waste during later construction, and save project costs. The above problems generally occur when calculating the length of the line between tower poles, and are even more prominent and important when calculating the length of the line between large-span tower poles in difficult areas.

[0003] In summary, there is an urgent need to find an optimal calculation method for the length of the line between large-span tower poles in difficult areas to solve the above problems. Summary of the Invention

[0004] The purpose of the present invention is to provide an optimal calculation method for the length of the line between large-span tower poles in difficult areas. When accurately calculating the length of the line between large-span tower poles in difficult areas, there is no need to set up a prism or reflector at the point to be determined for distance measurement. Only the horizontal direction value and the zenith angle need to be read by aiming at the same target, and the three-dimensional coordinates of the point to be determined are obtained by resection with angles and sides, so as to accurately obtain the length of the line between tower poles. While ensuring the accuracy of the calculation results, the present invention simplifies the calculation process, improves efficiency, and saves project costs.

[0005] The technical solution adopted by the present invention is an optimal calculation method for the length of the line between large-span tower poles in difficult areas, including the following steps: S1. Select two points, namely point A and point B, within a certain range outside the area where the length of the tower pole line needs to be calculated. Among them, point A and point B need to meet the following conditions: point A and point B can see each other; at point A and point B, the highest objects C and D at the positions where the tower poles need to be installed can be seen, and they are set as target point C and target point D; S2. Establish a plane construction independent coordinate system with point A and point B as the X-axis and the direction perpendicular to side AB as the Y-axis, and measure the coordinates of point A and point B as known points. Then, calculate the distance L of side AB according to the inverse coordinate calculation AB and the azimuth angle F of side AB AB ; Establish a plane construction independent coordinate system with point A and point B as the X-axis and the direction perpendicular to side AB as the Y-axis. Assume that the coordinates of point A are (0, 0, 1000), and the azimuth angle F of side AB AB=0°00′00″, the coordinates of point B measured by the instrument are (X B , Y B , H B ). Through coordinate inverse calculation, the distance L AB of side AB and the azimuth angle F AB are obtained: Among them, X B is the X-axis coordinate of point B; X A is the X-axis coordinate of point A; Y B is the Y-axis coordinate of point B; Y A is the Y-axis coordinate of point A; is the angle obtained by coordinate inverse calculation; When and is in the first quadrant, the azimuth angle at this time; When and is in the second quadrant, the azimuth angle at this time; When and is in the third quadrant, the azimuth angle at this time; When and is in the fourth quadrant, the azimuth angle at this time; When and is on the positive half-axis of the X-axis, the azimuth angle at this time; When and is on the negative half-axis of the X-axis, the azimuth angle at this time; Among them, F BA is the azimuth angle of side BA; F AB is the azimuth angle of side AB; When in the above formula, take the "-" sign; when in the above formula, take the "+" sign; when in the above formula ; When the line deflection angle is a left angle: F NP = F MN + left angle - 180° Among them, F NP is the azimuth angle from N to P;MN is the azimuth from M to N; When the turning angle of the line is a right angle: F NP = F MN - right angle + 180° where F NP is the azimuth from N to P; F MN is the azimuth from M to N; S3. Set up the total station at point A, and set the horizontal direction value FX AB of side AB to 0°00′00″. Observe the tallest objects C and D at the tower pole position respectively to obtain the horizontal direction value FX AC′ of side AC′, the horizontal direction value FX AD′ of side AD′, and the zenith angles ∠TAC of side AC and ∠TAD of side AD; Set up the total station at point B, and set the horizontal direction value FX BA of side BA to 0°00′00″. Observe the tallest objects C and D at the tower pole position respectively to obtain the horizontal direction value FX BC′ of side BC′, the horizontal direction value FX BD′ of side BD′, and the zenith angles ∠TBC of side BC and ∠TBD of side BD; S4. Based on the distance L AB of side AB and the azimuth F AB of side AB calculated in S2, calculate the distances L AC′ of sides AC′, AD′, BC′, BD′ according to the sine theorem AD′ 、L BC′ 、L BD′ ; S5. Based on the distance L AB of side AB and the azimuth F AB of side AB calculated in S2 and the horizontal direction values FX AC′ 、FX AD′ 、FX BC′ 、FX BD′ observed in S3, obtain the azimuths F AC′ 、F AD′ 、F BC′ 、F BD′ of sides AC′, AD′, BC′, BD′ according to the azimuth calculation principle; S6. Based on the distances L AC′ 、L AD′ 、L BC′ 、L BD′ of sides AC′, AD′, BC′, BD′ calculated in S4 and the azimuths F AC′, F AD′ , F BC′ , F BD′ and the plane coordinates of the known point A and the known point B, calculate the plane coordinates of the target points C and D according to the forward calculation of coordinates; S7. From the zenith angles ∠TAC, ∠TAD, ∠TBC, ∠TBD of the highest objects C and D at the position of the observation tower pole in S3 and the distances L of the sides AC′, AD′, BC′, BD′ calculated in S4 AC′ , L AD′ , L BC′ , L BD′ and the elevations of the known point A and the known point B, calculate the elevation H of the target point C C and the elevation H of the target point D D ; S8. Adjust the plane coordinates and elevations of the target points C and D calculated in S6 and S7 to obtain the three-dimensional coordinates of the target points C and D; S9. Calculate the length L of CD by the spatial distance formula CD .

[0006] Furthermore, in S1, select two points, namely point A and point B, within a certain range outside the area of the tower pole line length to be calculated. When making coordinate assumptions and on-site selections, it is necessary to ensure that point A and point B can see each other, and at the same time, it is also necessary to ensure that the target points C and D can be clearly seen when setting up the instrument at point A, and the target points C and D can also be clearly seen when setting up the instrument at point B.

[0007] Furthermore, in S3, according to the observed horizontal direction values FX AC′ , FX AD′ , FX BC′ , FX BD′ , obtain the interior angles in △BAC′ and △ABD′: ∠BAC′, ∠BAD′, ∠ABC′, ∠ABD′; According to the triangle interior angle sum 180° theorem, calculate the angles corresponding to side AB: ∠AC′B, ∠AD′B, and the calculation formulas are: ∠AC′B = 180° - (∠BAC′ + ∠ABC′) ∠AD′B = 180° - (∠BAD′ + ∠ABD′).

[0008] Furthermore, in S4, calculate the distances L of the sides AC′, AD′, BC′, BD′ according to the sine theorem AC′ , L AD′ , L BC′ , L BD′ , and the calculation formulas are: Among them, L AB is the distance of side AB; ∠AC′B is the angle corresponding to side AB; ∠ABC′ is the angle corresponding to side AC′; Similarly, the distances L AD′ 、L BC′ 、L BD′ of sides AD′, BC′, and BD′ are obtained.

[0009] Furthermore, in S5, the azimuth angles F AC′ 、F AD′ 、F BC′ 、F BD′ of sides AC′, AD′, BC′, and BD′ are obtained according to the azimuth angle calculation principle. The calculation formula is: F AC′ =F BA -∠BAC′ + 180° F AD′ =F BA -∠BAD′ + 180° F BC′ =F AB -∠ABC′ - 180° F BD′ =F AB -∠ABD′ - 180° Among them, F AB is the azimuth angle of side AB; F BA is the azimuth angle of side BA; ∠BAC′, ∠BAD′, ∠ABC′, and ∠ABD′ are turning angles.

[0010] Furthermore, in S6, the plane coordinates of the target point C are calculated according to the coordinate forward calculation. The calculation formula is: Among them, X A is the X-axis coordinate of point A; Y A is the Y-axis coordinate of point A; F AC′ is the azimuth angle of side AC′; L AC′ is the distance of side AC′; Similarly, the plane coordinates (X D , Y D ) of the target point D are obtained.

[0011] Furthermore, in S7, the elevation of the target point C is calculated according to the trigonometric function relationship. The calculation formula is: Among them, H A is the elevation of point A; L AC′The distance to side AC'; ∠TAC is the zenith angle observed at point A when setting up the total station to observe the target point C; Similarly, the elevation H of the target point D is obtained. D .

[0012] Furthermore, in S8, the plane coordinates and elevations of the target points C and D calculated in S6 and S7 are adjusted, and finally the target point C(X C , Y C , H C ) and the target point D(X D , Y D , H D ) are obtained.

[0013] Furthermore, in S9, the length L of CD is calculated by the spatial distance formula CD , and the calculation formula is: where X C is the X-axis coordinate of the target point C; X D is the X-axis coordinate of the target point D; Y C is the Y-axis coordinate of the target point C; Y D is the Y-axis coordinate of the target point D; H C is the elevation of the target point C; H D is the elevation of the target point D.

[0014] The beneficial effects of the present invention are as follows: When accurately calculating the line length between large-span tower poles in difficult areas, there is no need to set up a prism or reflector at the point to be measured for distance measurement. Only the horizontal direction value and zenith angle need to be read by aiming at the same target, and the three-dimensional coordinates of the point to be measured are obtained through resection with angles and sides, and then the line length between the tower poles can be accurately obtained. While ensuring the accuracy of the calculation results, the present invention simplifies the calculation process, improves efficiency, and saves engineering costs. BRIEF DESCRIPTION OF THE DRAWINGS

[0015] Figure 1 is a flowchart of the optimal calculation method for the line length between large-span tower poles in difficult areas.

[0016] Figure 2 is an elevation view of the optimal calculation method for the line length between large-span tower poles in difficult areas.

[0017] Figure 3 is a plan view of the optimal calculation method for the line length between large-span tower poles in difficult areas.

[0018] Figure 4 is an elevation view when the instrument is assumed to be observed at point A.

[0019] Figure 5It is the elevation view when observing at point B for the instrument.

[0020] Figure 6 It is the schematic diagram of the left / right angle of the line.

[0021] Among them, for the convenience of calculation, the definitions of each parameter in the above figure are as follows: Assume that point A(X A , Y A , H A ) is the coordinate origin, the azimuth angle F AB = 0°00′00″ of the direction of side AB is the X-axis, the axis perpendicular to the X-axis in the plane is the Y-axis, and the axis perpendicular to both the X-axis and the Y-axis is the H-axis, establishing a construction coordinate system; the coordinates of point B where the instrument is set are (X B , Y B , H B ); the vertical projection of the target point C is C′; the vertical projection of the target point D is D′; the height difference from point C to the plane of AB is h AC ; the height difference from point D to AB is h BD ; the distances of sides AC′, AD′, BC′, and BD′ are L AC′ , L AD′ , L BC′ , L BD′ respectively; the azimuth angles of sides AC′, AD′, BC′, and BD′ are F AC′ , F AD′ , F BC′ , F BD′ respectively; the horizontal direction values of observing point B, point C, and point D at point A are FX AB , FX AC′ , FX AD′ respectively; the horizontal direction values of observing point A, point C, and point D at point B are FX BA , FX BC′ , FX BD′ respectively; the zenith angles of observing point C and point D at point A are ∠TAC and ∠TAD; the zenith angles of observing point C and point D at point B are ∠TBC and ∠TBD; the coordinates of the point to be determined (target point) C and the point to be determined (target point) D are (X C , Y C , H C ) and (X D , Y D , H D ) respectively; the spatial distance of CD is L CD . Specific implementation manner

[0022] To make the purpose, technical solution, and advantages of the present invention clearer, the technical solution of the present invention will be clearly and completely described below in conjunction with the drawings and embodiments.

[0023] The optimal calculation method for the line length between large-span tower poles in difficult areas described in the present invention is as follows Figure 1 shown, and includes the following steps: S1. Select two points, namely point A and point B, within a certain range outside the area where the line length of the tower pole needs to be calculated. Among them, point A and point B need to meet the following conditions: Point A and point B can see each other; at both point A and point B, the highest objects (targets) C and D at the positions where the tower poles need to be installed can be seen, and they are set as target point C and target point D.

[0024] Select two points, namely point A and point B, within a certain range outside the area where the line length of the tower pole needs to be calculated. For the convenience of calculation, when making coordinate assumptions and field selections, as Figure 2 shown, it should be ensured that point A and point B can see each other. At the same time, it should also be ensured that when setting up the instrument at point A, target point C and target point D can be clearly seen, and when setting up the instrument at point B, target point C and target point D can also be clearly seen.

[0025] S2. Establish an independent plane construction coordinate system with point A and point B as the X-axis and the direction perpendicular to side AB as the Y-axis, and measure and set the coordinates of point A and point B as known points. Then, calculate the distance L of side AB AB and the azimuth angle F of side AB AB .

[0026] Establish an independent plane construction coordinate system with point A and point B as the X-axis and the direction perpendicular to side AB as the Y-axis. Assume that the coordinates of point A are (0, 0, 1000), and the azimuth angle of side AB is F AB = 0°00′00″, and the coordinates of point B where the instrument is set are (X B , Y B , H B ). Through coordinate inverse calculation, the distance L of side AB AB , the azimuth angle F of side AB (BA) AB (F BA ) are obtained: Formula 1 Formula 2 Among them, X B is the X-axis coordinate of point B; X A is the X-axis coordinate of point A; Y B is the Y-axis coordinate of point B; Y A is the Y-axis coordinate of point A; is the angle obtained by coordinate inverse calculation; When and is in the first quadrant, at this time the deflection angle (azimuth angle) ; When and is the second quadrant, and at this time the deflection angle (azimuth angle) ; When and is the third quadrant, and at this time the deflection angle (azimuth angle) ; When and is the fourth quadrant, and at this time the deflection angle (azimuth angle) ; When and then it is on the positive half-axis of the X-axis, and at this time the deflection angle (azimuth angle) ; When and then it is on the negative half-axis of the X-axis, and at this time the deflection angle (azimuth angle) ; Formula 3 Among them, F BA is the azimuth angle of side BA; F AB is the azimuth angle of side AB; When in the above formula , take the "-" sign; when in the above formula , take the "+" sign; when in the above formula , ; When the turning angle of the line is a left angle (let the forward direction of the line be M→N→P, and the left angle is defined as the turning angle (0° to 360°) on the left side of the line along the forward direction of the line, see Figure 6 ): F NP = F MN + left angle - 180° Formula 4 Among them, F NP is the azimuth angle of N→P; F MN is the azimuth angle of M→N; When the turning angle of the line is a right angle (let the forward direction of the line be M→N→P, and the right angle is defined as the turning angle (0° to 360°) on the right side of the line along the forward direction of the line, see Figure 6 ): F NP = F MN - right angle + 180° Formula 5 Among them, F NP is the azimuth angle of N→P; F MN is the azimuth angle of M→N.

[0027] S3. Set up the total station at point A, and observe the highest objects (targets) C and D at the position of the tower pole respectively, and obtain the horizontal direction value FX of side AC′AC′ and the horizontal direction value FX of side AD' AD′ as well as the zenith angles ∠TAC of side AC and ∠TAD of side AD; Set up the total station at point B and observe the highest objects (targets) C and D at the tower pole position respectively to obtain the horizontal direction value FX of side BC' BC′ and the horizontal direction value FX of side BD' BD′ as well as the zenith angles ∠TBC of side BC and ∠TBD of side BD.

[0028] As Figure 3 shown, set up the total station instrument at point A, set the horizontal direction value FX of side AB Figure 4 to 0°00′00″, and observe target point C and target point D respectively: the horizontal direction value of target point C is FX AB , the zenith angle is ∠TAC, the horizontal direction value of target point D is FX AC′ , and the zenith angle is ∠TAD; AD′

[0028] As Figure 3 shown, set up the total station instrument at point B, set the horizontal direction value FX of side BA Figure 5 to 0°00′00″, and observe target point C and target point D respectively: the horizontal direction value of target point C is FX BA , the zenith angle is ∠TBC, the horizontal direction value of target point D is FX BC′ , and the zenith angle is ∠TBD; BD′ As shown, according to the observed horizontal direction values FX Figure 3 of target point C and target point D AC′ , FX AD′ , FX BC′ , FX BD′ , the interior angles (deflection angles) in △BAC' and △ABD' can be obtained: ∠BAC', ∠BAD', ∠ABC', ∠ABD'; As shown, according to the triangle interior angle sum 180° theorem, the angles corresponding to side AB can be calculated: ∠AC'B, ∠AD'B, see Formula 6 and Formula 7: Figure 3 ∠AC'B = 180° - (∠BAC' + ∠ABC') Formula 6 ∠AD'B = 180° - (∠BAD' + ∠ABD') Formula 7.

[0029] S4. From the distance L of side AB calculated in S2 AB and the azimuth F of side AB AB , according to the sine theorem, calculate the distances L of sides AC', AD', BC', and BD' AC′ , LAD′ , L BC′ , L BD′ .

[0030] As Figure 3 shown, according to the sine theorem, the distances L of sides AC′, AD′, BC′, and BD′ can be calculated AC′ , L AD′ , L BC′ , L BD′ , and the calculation formula is: Formula 8 where ∠ABC′ is the angle corresponding to side AC′; Similarly, the distances L of sides AD′, BC′, and BD′ can be obtained AD′ , L BC′ , L BD′ .

[0031] S5. From the distance L of side AB calculated in S2 AB and the azimuth F of side AB AB and the direction values FX AC′ , FX AD′ , FX BC′ , FX BD′ observed in S3, according to the azimuth calculation principle, the azimuths F of sides AC′, AD′, BC′, and BD′ are obtained AC′ , F AD′ , F BC′ , F BD′ .

[0032] As Figure 3 shown, according to Formula 4 and Formula 5, the azimuths F of sides AC′, AD′, BC′, and BD′ can be obtained AC′ , F AD′ , F BC′ , F BD′ , and the calculation formula is: F AC′ = F BA - ∠BAC′ + 180° Formula 9 F AD′ = F BA - ∠BAD′ + 180° Formula 10 F BC′ = F AB - ∠ABC′ - 180° Formula 11 F BD′ = F AB - ∠ABD′ - 180° Formula 12.

[0033] S6. The distances L of the sides AC′, AD′, BC′, and BD′ calculated in S4 AC′ , L AD′ , L BC′ , L BD′ and the azimuth angles F of the sides AC′, AD′, BC′, and BD′ calculated in S5 AC′ , F AD′ , F BC′ , F BD′ , as well as the plane coordinates of the known point A and the known point B, are used to calculate the plane coordinates of the target points C and D according to the forward calculation of coordinates.

[0034] The plane coordinates of the target point C are calculated by the forward calculation of coordinates. The calculation formula is: Formula 13 Similarly, the plane coordinates of the target point D (X D , Y D ) are obtained.

[0035] S7. The zenith angles of C and D observed in S3 and the distances L of the sides AC′, AD′, BC′, and BD′ calculated in S4 AC′ , L AD′ , L BC′ , L BD′ , as well as the elevations of the known point A and the known point B, are used to calculate the elevation H of the target point C C and the elevation H of the target point D D .

[0036] The elevation of the target point C is calculated according to the trigonometric function relationship. The calculation formula is: Formula 14 where H A is the H-axis coordinate (elevation of point A); Similarly, the elevation H of the target point D can be obtained D .

[0037] S8. The plane coordinates and elevations of the target points C and D calculated in S6 and S7 are adjusted to obtain the three-dimensional coordinates of the target points C and D.

[0038] The plane coordinates and elevations of the target points C and D calculated in S6 and S7 are adjusted. Finally, the target point C (X C , Y C , H C ) and the target point D (X D , Y D , H D ) are obtained.

[0039] S9. Calculate the length L of CD using the spatial distance formula. CD , and the calculation formula is: Formula 15.

[0040] The following is a specific embodiment to further verify and illustrate the present invention.

[0041] This example uses a certain engineering project located deep in the high mountains and dense forests. It is necessary to erect high-voltage lines in this environment. In order to save project costs, it is necessary to accurately calculate the length of the wire between two tower poles.

[0042] Assume the coordinate point A(0, 0, 1000), the backsight point B, and solve the coordinate point B(0, 542.2778, 1020.356). Taking point A and point B as known points, combined with Figures 1 to 6 and calculation formulas 1 to 15, the calculation results are shown in Tables 1 to 8 below: Table 1 Table of known point conditions

[0043] Table 2 Observation angle table

[0044] Table 3 Table of calculated interior angle results

[0045] Table 4 Table of calculated horizontal distances between points

[0046] Table 5 Table of calculated azimuth angles between two points

[0047] Table 6 Table of coordinate calculation results

[0048] Table 7 Table of coordinate adjustment results

[0049] Table 8 Table of spatial distances between target points C and D

[0050] From the data analysis results in the above embodiment tables, it can be concluded that: When accurately calculating the line length between large-span tower poles in difficult areas, the present invention does not require setting up a prism or reflector at the point to be determined for distance measurement. It only needs to aim at the same target to read the horizontal direction value and zenith angle, and obtain the three-dimensional coordinates of the point to be determined through resection with angles and sides, so as to accurately obtain the line length between the tower poles. While ensuring the accuracy of the calculation results, the present invention simplifies the calculation process, improves efficiency, saves project costs, and provides certain technical support for power construction.

[0051] Contents not described in detail in the specification of the present invention belong to the prior art in the technical field.

Claims

1. The optimal calculation method for the line length between long-span towers in difficult areas is characterized by: The following steps are involved: S1, select two points in a certain range outside the area of ​​the tower line length to be calculated, namely point A and point B, where point A and point B need to meet the following conditions: point A and point B can see each other; the highest objects C and D where the tower needs to be placed can be seen from both point A and point B, which are set as target points C and target points D; S2, establish an independent coordinate system for plane construction with point A and point B as the X-axis and the perpendicular to side AB as the Y-axis, and measure and set the coordinates of point A and point B as known points, and then calculate the distance L of side AB based on the coordinates. AB and the azimuth F of side AB AB ; Take point A and point B as the X-axis and the direction perpendicular to side AB as the Y-axis to establish an independent coordinate system for plane construction. Assume that the coordinates of point A are (0,0,1000) and the azimuth angle F of side AB is AB =0°00′00″, the coordinates of point B at the instrument setting are (X B ,Y B ,H B ), by inverse calculation of the coordinates, we can get the distance L of side AB AB 、Azimuth F of side AB AB : Among them, X B is the X-axis coordinate of point B; A is the X-axis coordinate of point A; Y B is the Y-axis coordinate of point B; A is the Y-axis coordinate of point A; is the angle obtained by inverse calculation of the coordinates; when and is quadrant I, and the azimuth is ; when and is quadrant II, and the azimuth is ; when and is quadrant III, and the azimuth is ; when and It is quadrant Ⅳ, and the azimuth is ; when and It is located on the positive half axis of the X axis, and the azimuth ; when and It is located on the negative half axis of the X axis, and the azimuth angle ; Among them, F BA is the azimuth of side BA; F AB is the azimuth of side AB; When the above formula When the "-" sign is used; when When the "+" sign is taken; when hour ; When the line turns to the left: F NP =F MN +Left Angle -180° Among them, F NP is the azimuth from N to P; F MN is the azimuth from M to N; When the line turns to the right: F NP =F MN -Right angle +180° Among them, F NP is the azimuth from N to P; F MN is the azimuth from M to N; S3, set the total station at point A, and change the horizontal direction value of side AB to FX AB Set it to 0°00′00″, observe the highest objects C and D at the tower position, and get the horizontal direction value FX of side AC′ AC′ , the horizontal value FX of side AD′ AD′ and the zenith angle ∠TAC of side AC and the zenith angle ∠TAD of side AD; set the total station at point B and change the horizontal direction value FX of side BA to BA Set it to 0°00′00″, observe the highest objects C and D at the tower position respectively, and get the horizontal direction value FX of side BC′ BC′ , the horizontal value FX of side BD′ BD′ and the zenith angle ∠TBC of side BC and the zenith angle ∠TBD of side BD; S4, the distance L of side AB calculated in S2 AB and the azimuth F of side AB AB , calculate the distance L of sides AC′, AD′, BC′, BD′ according to the sine theorem AC′ , L AD′ , L BC′ , L BD′ ; S5, the distance L of side AB calculated in S2 AB and the azimuth F of side AB AB And the horizontal direction value FX observed in S3 AC′ FX AD′ FX BC′ FX BD′ According to the principle of azimuth calculation, we can get the azimuth F of sides AC′, AD′, BC′, and BD′. AC′ 、F AD′ 、F BC′ 、F BD′ ; S6, the distance L of the edges AC′, AD′, BC′, and BD′ calculated in S4 AC′ , L AD′ , L BC′ , L BD′ and the azimuth angles F of the sides AC′, AD′, BC′, and BD′ calculated in S5 AC′ 、F AD′ 、F BC′ 、F BD′ And the plane coordinates of the known point A and the known point B, calculate the plane coordinates of the target point C and the target point D according to the coordinate positive calculation; S7, the distance L of the sides AC′, AD′, BC′, BD′ calculated in S4 from the zenith angles ∠TAC, ∠TAD, ∠TBC, ∠TBD of the highest objects C and D at the observation tower position in S3 AC′ , L AD′ , L BC′ , L BD′ As well as the elevations of known points A and B, the elevation H of target point C is calculated based on the trigonometric relationship. C and the elevation H of the target point D D ; S8, adjusting the plane coordinates and elevation of the target point C and the target point D calculated in S6 and S7 to obtain the three-dimensional coordinates of the target point C and the target point D; S9, calculate the length L of CD by the spatial distance formula CD .

2. The optimal calculation method for the line length between long-span tower poles in difficult areas according to claim 1 is characterized in that: In S1, two points, namely point A and point B, are selected within a certain range outside the tower line length area that needs to be calculated. When making coordinate assumptions and field selections, it is necessary to ensure that point A and point B can see each other. At the same time, it is also necessary to ensure that target point C and target point D can be clearly seen when the instrument is set up at point A, and target point C and target point D can also be clearly seen when the instrument is set up at point B.

3. The optimal calculation method for the line length between long-span tower poles in difficult areas according to claim 1 is characterized in that: In S3, according to the horizontal direction values ​​FX of the observed target points C and D, AC′ FX AD′ FX BC′ FX BD′ , we get the interior angles in △BAC′ and △ABD′: ∠BAC′, ∠BAD′, ∠ABC′, ∠ABD′; According to the triangle interior angle and 180° theorem, calculate the angles corresponding to side AB: ∠AC′B, ∠AD′B. The calculation formula is: ∠AC′B=180°-(∠BAC′+∠ABC′) ∠AD′B=180°-(∠BAD′+∠ABD′).

4. The optimal calculation method for the line length between long-span tower poles in difficult areas according to claim 1 is characterized in that: In S4, the distance L of the sides AC′, AD′, BC′, and BD′ is calculated according to the sine theorem. AC′ , L AD′ , L BC′ , L BD′ , the calculation formula is: Among them, L AB is the distance of side AB; ∠AC′B is the angle corresponding to side AB; ∠ABC′ is the angle corresponding to side AC′; Similarly, find the distance L between sides AD′, BC′, and BD′ AD′ , L BC′ , L BD′ .

5. The optimal calculation method for the line length between long-span tower poles in difficult areas according to claim 1 is characterized in that: In S5, the azimuth angles F of the sides AC′, AD′, BC′, and BD′ are obtained according to the azimuth angle calculation principle. AC′ 、F AD′ 、F BC′ 、F BD′ , the calculation formula is: F AC′ =F BA -∠BAC′+180° F AD′ =F BA -∠BAD′+180° F BC′ =F AB -∠ABC′-180° F BD′ =F AB -∠ABD′-180° Among them, F AB is the azimuth of side AB; F BA is the azimuth of side BA; ∠BAC′, ∠BAD′, ∠ABC′, ∠ABD′ are turning angles.

6. The optimal calculation method for the line length between long-span tower poles in difficult areas according to claim 1 is characterized in that: In S6, the plane coordinates of the target point C are calculated by coordinate forward calculation, and the calculation formula is: Among them, X A is the X-axis coordinate of point A; Y A is the Y-axis coordinate of point A; F AC′ is the azimuth of side AC′; L AC′ is the distance of side AC′; Similarly, the plane coordinates (X D ,Y D ).

7. The optimal calculation method for the line length between long-span tower poles in difficult areas according to claim 1 is characterized in that: In S7, the elevation of the target point C is calculated according to the trigonometric function relationship, and the calculation formula is: Among them, H A is the elevation of point A; L AC′ is the distance of side AC′; ∠TAC is the zenith angle observed to the target point C when the total station is set up at point A; Similarly, find the elevation H of the target point D D .

8. The optimal calculation method for the line length between long-span tower poles in difficult areas according to claim 1 is characterized in that: In S8, the plane coordinates and elevation of the target point C and the target point D calculated in S6 and S7 are adjusted, and finally the target point C (X C ,Y C ,H C ) and the target point D(X D ,Y D ,H D ).

9. The optimal calculation method for the line length between long-span tower poles in difficult areas according to claim 1 is characterized in that: In S9, the length L of CD is calculated by the spatial distance formula. CD , the calculation formula is: Among them, X C is the X-axis coordinate of the target point C; D is the X-axis coordinate of the target point D; Y C is the Y-axis coordinate of the target point C; D is the Y-axis coordinate of the target point D; H C is the elevation of the target point C; H D is the elevation of the target point D.

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