CN106767735A - A kind of accurate distribution method of connecting traverse measurement distance error - Google Patents

Abstract

The invention discloses a kind of accurate distribution method of connecting traverse measurement distance error, each traverse point latitude correction V is calculated according to coefficient_ΔxiAnd abscissa increment correction V_Δyi, distribute each latitude Δ X after being corrected_i=Δx_i+V_{Δ xi,}With abscissa increment Delta Yi₌Δy_i+V_Δyi, then try to achieve each wire point coordinates according to each latitude and abscissa increment after B point coordinates and correction.Combination wire error deviation amount of the present invention considers with azimuth, and assignment accuracy is than conventional simple error distribution Fa Genggao.

Description

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

Technical field

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

Background technology

Traverse survey is a kind of common method for setting up small region plane control net, and it is more complicated that it is applied to atural object distribution The poor fallback area of building area, flat but sighting condition or banding area.The coordinate collection of each topographic(al) point is final extremely in control net National known point coordinates might have institute's error, need to distribute adjustment.Tight calculating method is the precision highest distribution of national standard Method, but step is very cumbersome, therefore using the measuring method of simple error distribution more than current textbook and universal actual practice. I.e. in the simple error distribution of wire, angular error is reversely averagely allocated to using elder generation each wire corner, then further according to each Conducting line segment accounts for wire overall length and carries out error distribution respectively on x and y directions with each wire, due to x, the y error of the distribution of each wire When the azimuth error that causes do not accounted in simple error distribution, make overall error assignment accuracy not high.

The content of the invention

The technical problem to be solved in the present invention is to provide a kind of accurate distribution method of connecting traverse measurement distance error, with reference to Side-play amount when wire is conformed to considers with azimuth, improves assignment accuracy.

The present invention is achieved through the following technical solutions：

A kind of accurate distribution method of connecting traverse measurement distance error, it is known that A, B, C, D point coordinates, sets between B points and C points N traverse point, the view angle of B, C point and each traverse point is angularly poor averagely to be corrected, and each wire is tried to achieve by angle value after correction Grid azimuth, then tries to achieve the latitude Δ of each traverse point according to each 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_Δxi, and abscissa increment Delta Yi=Δs y_i+V_Δyi, according to B point coordinates and Each latitude and abscissa increment after correction try to achieve each wire point coordinates successively,

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 amounts of known coordinate line segment BC, and fy is the y direction change amounts of known coordinate line segment BC, α_BCIt is the grid azimuth of known coordinate line segment BC, L is the length of known coordinate line segment BC.

The present invention compared with prior art, with following obvious advantage：

The measuring method of current simple error distribution, in the longitudinal and transverse increment of coordinate error of distribution conductors, according to each conducting line segment Account for wire overall length with each wire on x and y directions carries out error distribution respectively, calculates each traverse point latitude correction V_ΔxiAnd abscissa increment correction V_Δyi, due to the distribution of each wire x, y error when the azimuth error that causes in simple error Do not accounted for during distribution, make overall error assignment accuracy not high.Combination wire error deviation amount of the present invention and azimuth synthesis Consider, assignment accuracy is higher.

Brief description of the drawings

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

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

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

Specific embodiment

A kind of accurate distribution method of connecting traverse measurement distance error, it is known that A, B, C, D point coordinates, sets between B points and C points N traverse point, the view angle of B, C point and each traverse point is angularly poor averagely to be corrected, and each wire is tried to achieve by angle value after correction Grid azimuth, then tries to achieve the latitude Δ of each traverse point according to each 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_Δxi, and abscissa increment Delta Yi=Δs y_i+V_Δyi, according to B point coordinates and Each latitude and abscissa increment after correction try to achieve each wire point coordinates successively,

It is specific to calculate as follows：

α_i：It is the i section leads azimuth after correction on angles

s_i：For the i section leads after correction on angles are long

Δx_iIt is the i section lead x directions increment after correction on angles

Δy_iIt is the i section lead y directions increment after correction on angles

Δx_i=s_i×cosα_i

Δy_i=s_i×sinα_i

Declined to upper two point

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

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

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

D α=γ (consider that influence of the wire Initial Azimuth systematic error to each 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_iIt is the incremental differential sum in each wire x directions)

∑dΔy_i=k × ∑ Δ y_i+γ×∑Δx_i(∑dΔy_iIt is the incremental differential sum in each wire y directions)

The grid azimuth for making 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 changes 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 changes 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 wire correction is

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

V_Δyi=-d Δs 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=Δs 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 wire minor fluctuations on B, C line between the known point of B, C two

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 is consistent with the simple error distribution of wire, illustrates the measuring and calculating side of the simple error distribution of traditional wire Method is suitable only for each wire minor fluctuations situation on known 2 lines, is a kind of special case of the invention.If what is be distributed respectively leads Line fluctuated on known 2 lines it is bigger, it is more inaccurate using simple error distribution measuring method.

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

Embodiment 1

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

Tight computational chart

Simple error distribution 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 the wire route map of embodiment 2.

Tight computational chart

Simple error distribution 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 the wire route map of embodiment 3.

Tight computational chart

Simple error distribution measure and calculate table

Measure and calculate table of the present invention

Three kinds of distribution method traverse point coordinate value contrast tables

Each wire of embodiment 3 fluctuates small, simple error distribution method gained wire point coordinates on known 2 lines The tight calculating method gained wire point coordinates of precision highest of value, distribution method of the present invention gained traverse point coordinate value and national standard Value is coincide substantially, each wire of embodiment 1,2 fluctuated on known 2 lines it is larger, respectively by simple error distribution method gained The tight calculating method gained of precision highest of traverse point coordinate value, distribution method of the present invention gained traverse point coordinate value and national standard Traverse point coordinate value is contrasted, 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 accuracy higher with method.

Claims (1)

1. a kind of accurate distribution method of connecting traverse measurement distance error, it is known that A, B, C, D point coordinates, n is set between B points and C points Individual traverse point, the view angle of B, C point and each traverse point is angularly poor averagely to be corrected, and is tried to achieve each wire by angle value after correction and is sat Mark azimuth, then tries to achieve the latitude Δ x of each traverse point according to each 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 coordinates and correction Each latitude and abscissa increment afterwards tries to achieve each wire point coordinates successively, 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 amounts of known coordinate line segment BC, and fy is the y direction change amounts 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.