CN106767735B - A kind of connecting traverse measurement accurate distribution method of range error - Google Patents

Abstract

The invention discloses a kind of connecting traverses to measure the accurate distribution method of range error, calculates each traverse point latitude correction V according to coefficient_ΔxiAnd abscissa increment correction V_Δyi, each latitude Δ X after distribution is corrected_i=Δx_i+V_{Δ xi,}With abscissa increment Delta Yi₌Δy_i+V_Δyi, then each latitude according to B point coordinate and after correcting and abscissa increment acquire each traverse point coordinate.Combination wire error deviation amount of the present invention comprehensively considers with azimuth, and assignment accuracy is higher than conventional simple error distribution method.

Description

A kind of connecting traverse measurement accurate distribution method of range error

Technical field

The present invention relates to engineering measuring technology fields, and in particular to a kind of accurate side of distribution of connecting traverse measurement range error Method.

Background technique

Traverse survey is to establish a kind of common method of small region plane control net, it is distributed more complex suitable for atural object Building area, flat but poor sighting condition fallback area or band-like area.The coordinate acquisition of each topographic(al) point is final extremely in control net National known point coordinate may error, adjustment need to be distributed.Tight calculating method is the highest distribution of precision of national standard Method, but step is very cumbersome, therefore textbook and universal actual practice mostly use the measuring method of simple error distribution at present. I.e. in the simple error distribution of conducting wire, angular error is reversely averagely allocated to using elder generation each conducting wire corner, then further according to each Conducting line segment accounts for conducting wire overall length on x and the direction y with each conducting wire and carries out error distribution respectively, due to the x of each conducting wire distribution, y error When azimuth caused by error do not accounted for when simple error is distributed, keep overall error assignment accuracy not high.

Summary of the invention

The technical problem to be solved in the present invention is to provide a kind of connecting traverses to measure the accurate distribution method of range error, in conjunction with Offset when conducting wire conforms to comprehensively considers with azimuth, improves assignment accuracy.

The invention is realized by the following technical scheme:

A kind of connecting traverse measurement accurate distribution method of range error, it is known that A, B, C, D point coordinate are set between B point and C point N traverse point, the view angle of B, C point and each traverse point is angularly poor to carry out average correction, acquires each conducting wire by angle value after correction Then grid azimuth acquires the latitude Δ of each traverse point according to each conducting wire grid azimuth after correction and conductor length x_iWith abscissa increment Delta y_i, calculate each traverse point latitude correction V_ΔxiAnd abscissa increment correction V_Δyi, distribution Each latitude Δ X after being corrected_i=Δ x_i+V_ΔxiAnd abscissa increment Delta Yi=Δ y_i+V_Δyi, according to B point coordinate and Each latitude and abscissa increment after correction successively acquire each traverse point coordinate,

V_Δxi=-k × Δ x_i+γ×Δy_i,

V_Δyi=-k × Δ y_i-γ×Δx_i,

K=(fx × cos α_BC+fy×sinα_BC)/L

γ=(fy × cos α_BC-fx×sinα_BC)/L

Wherein, fx is the x direction change amount of known coordinate line segment BC, and fy is the y direction change amount of known coordinate line segment BC, α_BCFor the grid azimuth of known coordinate line segment BC, L is the length of known coordinate line segment BC.

Compared with prior art, the present invention having following obvious advantage:

The measuring method of simple error distribution at present, in the longitudinal and transverse increment of coordinate error of distribution conductors, according to each conducting line segment Conducting wire overall length is accounted for each conducting wire on x and the direction y and carries out error distribution respectively, calculates each traverse point latitude correction V_ΔxiAnd abscissa increment correction V_Δyi, due to each conducting wire distribute x, y error when azimuth caused by error in simple error It is not accounted for when distribution, keeps overall error assignment accuracy not high.Combination wire error deviation amount of the present invention and azimuth are comprehensive Consider, assignment accuracy is higher.

Detailed description of the invention

Fig. 1 is 1 conducting wire route map of the embodiment of the present invention.

Fig. 2 is 2 conducting wire route map of the embodiment of the present invention.

Fig. 3 is 3 conducting wire route map of the embodiment of the present invention.

Specific embodiment

A kind of connecting traverse measurement accurate distribution method of range error, it is known that A, B, C, D point coordinate are set between B point and C point N traverse point, the view angle of B, C point and each traverse point is angularly poor to carry out average correction, acquires each conducting wire by angle value after correction Then grid azimuth acquires the latitude Δ of each traverse point according to each conducting wire grid azimuth after correction and conductor length x_iWith abscissa increment Delta y_i, calculate each traverse point latitude correction V_ΔxiAnd abscissa increment correction V_Δyi, distribution Each latitude Δ X after being corrected_i=Δ x_i+V_ΔxiAnd abscissa increment Delta Yi=Δ y_i+V_Δyi, according to B point coordinate and Each latitude and abscissa increment after correction successively acquire each traverse point coordinate,

Specific reckoning is as follows:

α_i: for the i section lead azimuth after correction on angles

s_i: it is long for the i section lead after correction on angles

Δx_iFor the direction the i section lead x increment after correction on angles

Δy_iFor the direction the i section lead y increment after correction on angles

Δx_i=s_i×cosα_i

Δy_i=s_i×sinα_i

It declines point to upper two

dΔx_i=cos α_i×ds-s_i×sinα_i×dα(dΔx_iFor the incremental differential in the direction i section lead x)

dΔy_i=sin α_i×ds+s_i×cosα_i×dα(dΔy_iFor the incremental differential in the direction i section lead y)

Enable ds=k × s_i(considering the presence of range-measurement system proportional error)

D α=γ (influence in view of conducting wire Initial Azimuth systematic error to each conducting wire orientation is identical)

dΔx_i=k × Δ x_i-γ×Δy_i

dΔy_i=k × Δ y_i+γ×Δx_i

∑dΔx_i=k × ∑ Δ x_i-γ×∑Δy_i(∑dΔx_iFor the sum of the incremental differential in the direction each conducting wire x)

∑dΔy_i=k × ∑ Δ y_i+γ×∑Δx_i(∑dΔy_iFor the sum of the incremental differential in the direction each conducting wire y)

The grid azimuth for enabling known coordinate point B, C line a length of L, BC is α_BC

∑Δx_BC=Δ x_BC=L × cos α_BC

∑Δy_BC=Δ y_BC=L × sin α_BC

∑dΔx_BC=k × L × cos α_BC-γ×L×sinα_BC(fx is the x direction change of known coordinate line segment BC to=fx Amount)

∑dΔy_BC=k × L × sin α_BC+γ×L×cosα_BC(fy is the y direction change of known coordinate line segment BC to=fy Amount)

K=(fx × cos α_BC+fy×sinα_BC)/L

γ=(fy × cos α_BC-fx×sinα_BC)/L

Each conducting wire correction is

V_Δxi=-d Δ x_i=-(k × Δ x_i-γ×Δy_i)=- k × Δ x_i+γ×Δy_i

V_Δyi=-d Δ y_i=-(k × Δ y_i+γ×Δx_i)=- k × Δ y_i-γ×Δx_i

Increment after correction

ΔX_i=Δ x_i+V_Δxi

Δ Yi=Δ y_i+V_Δyi

Coordinate after correction

X₁=X_B+ΔX_B1

Y₁=Y_B+ΔY_B1

X₂=X₁+ΔX₁₂

Y₂=Y₁+ΔY₁₂

X_i+1=X_i+ΔX_(i)(i+1)

Y_i+1=Y_i+ΔY_(i)(i+1)

X_C=X_n+ΔX_nC

Y_C=Y_n+ΔY_nC

When each conducting wire minor fluctuations on B, C line between two known point of B, C

Δx_i≈s_i×cosα_BC

Δy_i≈s_i×sinα_BC

L≈∑s_i

V_Δxi=-k × Δ x_i+γ×Δy_i

≈-[(fx×cosα_BC+fy×sinα_BC)/L]×(s_i×cosα_BC)+[(fy×cosα_BC-fx×sinα_BC)/L] ×(s_i×sinα_BC)

≈-fx×s_i/L

≈-fx×s_i/∑s_i

V_Δyi=-k × Δ y_i-γ×Δx_i

≈-[(fx×cosα_BC+fy×sinα_BC)/L]×(s_i×sinα_BC)-[(fy×cosα_BC-fx×sinα_BC)/L] ×(s_i×cosα_BC)

≈-fy×s_i/L

≈-fy×s_i/∑s_i

Correction of the present invention and the simple error distribution of conducting wire are consistent, illustrate the measuring and calculating side of the simple error distribution of traditional conducting wire Method is suitable only for each conducting wire minor fluctuations situation on known two o'clock line, is a kind of special case of the invention.If distribution is respectively led Line fluctuated on known two o'clock line it is bigger, using simple error distribution measuring method it is more inaccurate.

Below by taking embodiment coordinate points as an example, be respectively adopted tight calculating method, simple error distribution measuring method and Distribution method of the present invention is calculated:

Embodiment 1

Fig. 1 is 1 conducting wire route map of embodiment.

Tight computational chart

Simple error distributes measure and calculate table

Measure and calculate table of the present invention

Three kinds of distribution method traverse point coordinate value contrast tables

Embodiment 2

Fig. 2 is 2 conducting wire route map of embodiment.

Tight computational chart

Simple error distributes measure and calculate table

Measure and calculate table of the present invention

Three kinds of distribution method traverse point coordinate value contrast tables

Embodiment 3

Fig. 3 is 3 conducting wire route map of embodiment.

Tight computational chart

Simple error distributes measure and calculate table

Measure and calculate table of the present invention

Three kinds of distribution method traverse point coordinate value contrast tables

Each conducting wire of embodiment 3 fluctuates small, traverse point coordinate obtained by simple error distribution method on known two o'clock line Traverse point coordinate obtained by the highest tight calculating method of the precision of traverse point coordinate value obtained by value, distribution method of the present invention and national standard Value is coincide substantially, each conducting wire of embodiment 1,2 fluctuated on known two o'clock line it is larger, respectively will be obtained by simple error distribution method Obtained by the highest tight calculating method of the precision of traverse point coordinate value obtained by traverse point coordinate value, distribution method of the present invention and national standard Traverse point coordinate value compares, it can be seen that error of the present invention is significantly lower than simple error distribution method, therefore the present invention point There is higher accuracy with method.

Claims (1)

1. a kind of connecting traverse measures the accurate distribution method of range error, it is known that A, B, C, D point coordinate set n between B point and C point A traverse point, the view angle of B, C point and each traverse point is angularly poor to carry out average correction, acquires each conducting wire by angle value after correction and sits Azimuth is marked, the latitude Δ x of each traverse point is then acquired according to each conducting wire grid azimuth after correction and conductor length_i With abscissa increment Delta y_i, calculate each traverse point latitude correction V_ΔxiAnd abscissa increment correction V_Δyi, distribution obtains Each latitude Δ X after must correcting_i=Δx_i+V_{Δ xi,}With abscissa increment Delta Yi₌Δy_i+V_Δyi, according to B point coordinate and correction Each latitude and abscissa increment afterwards successively acquires each traverse point coordinate, it is characterised in that:

V_Δxi=-k×Δx_i +γ×Δy_I,

V_Δyi=-k×Δy_i -γ×Δx_I,

k=(fx×cosα_BC +fy×sinα_BC)/L

γ=(fy×cosα_BC -fx×sinα_BC)/L

Wherein, fx is the x direction change amount of known coordinate line segment BC, and fy is the y direction change amount of known coordinate line segment BC, α_BCFor The grid azimuth of known coordinate line segment BC, L are the length of known coordinate line segment BC.