A kind of method and device arranging buried pipeline graded insulation
Technical field
The present invention relates to buried pipeline protection technology field, particularly relate to a kind of method arranging buried pipeline graded insulation
And device.
Background technology
Along with the development of power system, power transmission engineering remote, jumbo gets more and more, for this power transmission work
Journey, the general transmission being realized electric power by HVDC ground connection transmission system in prior art.This HVDC ground connection is defeated
Electricity system, when initial operation stage, maintenance and malfunction elimination in year, all can use the one pole the earth method of operation, and this using
During the method for operation, injected by earthing pole or extract out the earth DC current may be up to kilo-ampere；Therefore, in this situation
Under, when earthing pole is closer to the buried pipeline for carrying petroleum resources, the DC current in the earth will make buried
, i.e. there is the phenomenon that subregion pipe to soil potential is too high, and this phenomenon can cause in the pipe to soil potential skewness weighing apparatus of pipeline
The series of problems such as insulation sleeve electric discharge at existing cathodic protection device damage, valve chamber, for the conveying of personnel, facility and petroleum resources
Bring serious potential safety hazard.
At present, multiple method has been had to can solve the problem that the problem that above-mentioned pipe to soil potential is too high, such as: Local earth grounds method, the moon
Pole Protection Code, Jona's method etc.；Wherein, Jona's method is carried out owing to can rely on existing yard or monitoring valve chamber, and
There is the advantage of uniqueness；The principle of this Jona's method is by reducing duct length, making the part insulated divide as far as possible
Not close to neighbouring earth potential, thus reduce the electric current between soil and buried pipeline, reduce pipe to soil potential poor.
But when using this Jona's method in detail design, it is usually the insulation empirically determining required employing
Sectionalizing joint quantity and approximate location, then calculate buried pipeline pipe to soil potential everywhere；If pipe to soil potential is all in limit everywhere
Within value, then design terminates；If there is respective regions pipe to soil potential more than limit value, then need the most empirically to adjust each absolutely
The position of edge sectionalizing joint or the quantity of increase insulation sectionalizing joint, recalculate till meeting requirement.According to above-mentioned point
Analysis is it can be seen that when the insulation sectionalizing joint negligible amounts chosen, be intended merely to the position by optimizing each insulation sectionalizing joint
The calculating of a large amount of repetition will be produced；And when the insulation sectionalizing joint quantity used is more, although will soon access and set
Meter scheme, but may the program non-Economy optimum；Therefore, this rule of thumb buried pipeline is carried out graded insulation design
Method accuracy low, and lack standardized operating process, in addition it is also necessary to improve further.
Summary of the invention
It is an object of the invention to provide a kind of method and device arranging buried pipeline graded insulation, be used for solving basis
The method accuracy that experience carries out graded insulation design to buried pipeline is low, and the problem lacking standardized operating process.
To achieve these goals, the present invention provides following technical scheme:
A first aspect of the present invention provides a kind of method arranging buried pipeline graded insulation, comprises the following steps:
Step 101, builds soil model, earthing pole model and buried pipeline model；
Step 102, by x_{0}Individual insulation sectionalizing joint is distributed on buried pipeline, based on described soil model, described ground connection
Pole model and described buried pipeline model, it is thus achieved that original tube epd；
Step 103, based on described soil model, described earthing pole model and described buried pipeline model, according to presetting
Algorithm, by x_{0}Individual insulation sectionalizing joint is distributed on buried pipeline with the distribution mode that H kind is different, and corresponding acquisition the first pipe ground
Potential difference is poor to H pipe to soil potential；Obtain described original tube epd, described first pipe to soil potential difference to described H pipe ground
Minimum tube epd in potential difference, and the x corresponding with described minimum tube epd_{0}The position of individual insulation sectionalizing joint
Vector；Wherein H is the integer more than or equal to 1；
Step 104, compares the largest tube earth potential that described minimum tube epd and buried pipeline allow, works as institute
State minimum tube epd less than or equal to described largest tube earth potential time, in described step 103 obtain with described minimum tube ground
The x that potential difference is corresponding_{0}The position vector of individual insulation sectionalizing joint is objective result；
When described minimum tube epd is more than described largest tube earth potential, by x_{0}Add 1 and re-execute described step
102 to described step 104.
Preferably, in described step 102 and described step 103, it is thus achieved that described original tube epd, described first pipe
Epd all comprises the following steps to the method for described H pipe to soil potential difference:
Step 201, buried pipeline is divided into duct section by described insulation sectionalizing joint；To have the buried device of electric conductivity
The section of being divided into；Each section of described duct section, each section of described buried device, and each described insulation sectionalizing joint are referred to as leading
Body section, if the number of described conductor segment is n；
Step 202, the current potential that the leakage current produced according to n section described conductor segment correspondence produces at the midpoint of kth conductor segment
V_{k}, it is thus achieved that the axial current of described kth conductor segment, wherein 1≤k≤n；
Step 203, according to Kirchhoff's current law (KCL) and the axial current of described kth conductor segment, it is thus achieved that the described conductor of n section
The corresponding leakage current produced of section；
Step 204, according to the leakage current of described duct section, and the anticorrosive coat resistance of described duct section, it is thus achieved that described pipe
The pipe to soil potential of road section is poor.
Further, in described step 102, described original tube epd correspondence whole piece buried pipeline；In described step
In rapid 103, described first pipe to soil potential difference to described H pipe to soil potential difference correspondence whole piece buried pipeline, described minimum tube ground electricity
Potential difference correspondence whole piece buried pipeline；In described step 104, described largest tube earth potential correspondence whole piece buried pipeline.
Further, in described step 102, the appointment region of described original tube epd correspondence buried pipeline；?
In described step 103, the appointment region of described first pipe to soil potential difference to described H pipe to soil potential difference correspondence buried pipeline, institute
State the appointment region of minimum tube epd correspondence buried pipeline；In described step 104, described largest tube earth potential correspondence is buried
The appointment region of ground pipeline.
Further, in described step 102, by x_{0}Individual insulation sectionalizing joint is evenly distributed on buried pipeline.
Preferably, in described step 101, according to the soil characteristic parameter of described buried pipeline location and described
The soil characteristic parameter of earthing pole location builds described soil model.
Preferably, in described step 101, build described earthing pole according to the position of earthing pole parameter and described earthing pole
Model.
Preferably, in described step 101, bury according to the position structure of buried pipeline parameter and described buried pipeline
Ground pipeline model.
Preferably, in described step 103, described preset algorithm be genetic algorithm, simulated annealing, ant group algorithm,
Neural network algorithm or tabu search algorithm.
The technical scheme of method based on above-mentioned layout buried pipeline graded insulation, a second aspect of the present invention provides one
Arrange the device of buried pipeline graded insulation, for the method implementing above-mentioned layout buried pipeline graded insulation.
In the method arranging buried pipeline graded insulation that the present invention provides, it is possible to based on constructed soil model, connect
Earth polar model and buried pipeline model, according to preset algorithm by x_{0}Individual insulation sectionalizing joint is distributed in different distribution modes
On buried pipeline, and obtain the original tube epd corresponding to buried pipeline and the first pipe to soil potential difference to H pipe ground electricity
Potential difference；Minimum tube epd in original tube of reentrying epd, the first pipe to soil potential difference to H pipe to soil potential difference, with
And the x corresponding with minimum tube epd_{0}The position vector of individual insulation sectionalizing joint；The minimum tube earth potential that will obtain the most again
The largest tube earth potential that difference allows with buried pipeline compares, earthy less than or equal to largest tube at minimum tube epd
In the case of, the x corresponding with minimum tube epd obtained in step 103_{0}The position vector of individual insulation sectionalizing joint is just for mesh
Mark result, the quantity of the insulation sectionalizing joint i.e. confirming optimum is x_{0}Individual, and x_{0}Individual insulation sectionalizing joint institute is one to one
x_{0}Individual position vector；And in the case of minimum tube epd is earthy more than largest tube, only need to be by x_{0}Add 1 and re-execute
Step 102 is to step 104, until obtaining the quantity of the insulation sectionalizing joint meeting condition, and each insulation sectionalizing joint is corresponding
Position vector till.
Therefore, in the method arranging buried pipeline graded insulation that the present invention provides, it is possible to obtain insulation sectionalizing joint and exist
Different pipe to soil potentials corresponding under different distributions mode are poor, and can be determined the insulation segmentation of specified quantity by preset algorithm
Joint Optimal Distribution position on buried pipeline so that optimize process more science, optimum results is more accurate, has avoided and having set
The subjective factors of meter people.And, increase the quantity using insulation sectionalizing joint during optimization from small to large so that optimize process
There is standardized operating process, obtain minimum insulation sectionalizing joint usage quantity when reaching and optimizing design condition, maximum
Limit reduces successive projects amount and spillage of material.
Accompanying drawing explanation
Accompanying drawing described herein is used for providing a further understanding of the present invention, constitutes the part of the present invention, this
Bright schematic description and description is used for explaining the present invention, is not intended that inappropriate limitation of the present invention.In the accompanying drawings:
The first pass figure of the method arranging buried pipeline graded insulation that Fig. 1 provides for the embodiment of the present invention；
The flow chart of the method obtaining pipe to soil potential difference that Fig. 2 provides for the embodiment of the present invention；
The resistance of each section of conductor segment that Fig. 3 provides for the embodiment of the present invention and anticorrosive coat current potential schematic diagram；
The current diagram of the kth conductor segment that Fig. 4 provides for the embodiment of the present invention；
The each section of conductor segment local connection diagram that Fig. 5 provides for the embodiment of the present invention；
The each section of conductor segment local that Fig. 6 provides for the embodiment of the present invention connects circuit diagram；
The second flow chart of the method arranging buried pipeline graded insulation that Fig. 7 provides for the embodiment of the present invention；
3rd flow chart of the method arranging buried pipeline graded insulation that Fig. 8 provides for the embodiment of the present invention；
Position view between earthing pole and buried pipeline that Fig. 9 provides for the embodiment of the present invention.
Reference:
1-the first conductor segment, 2-the second conductor segment,
3-kth conductor segment, 4-q conductor segment,
5-anticorrosive coat, 6-earthing pole,
7-buried pipeline.
Detailed description of the invention
In order to further illustrate the method and device arranging buried pipeline graded insulation that the embodiment of the present invention provides, below
It is described in detail in conjunction with Figure of description.
Refer to Fig. 1, Fig. 4 and Fig. 9, the method arranging buried pipeline graded insulation that the embodiment of the present invention provides include with
Lower step:
Step 101, builds soil model, earthing pole model and buried pipeline model；Concrete, according to buried pipeline 7
The soil characteristic parameter of location, and the soil characteristic parameter structure soil model of earthing pole 6 location, this soil is special
Property parameter include the soil resistivity distribution of top layer and deep layer, and can be obtained by magnaflux；Join according to earthing pole
The position of number and earthing pole 6 builds earthing pole model, and wherein, earthing pole parameter generally comprises the size of earthing pole 6 and enters ground electricity
Stream；Position according to buried pipeline parameter and buried pipeline 7 builds buried pipeline model, and wherein, buried pipeline parameter is typically wrapped
Include the thickness of anticorrosive coat 5 of buried pipeline 7, buried pipeline 7 is relative to position, the size of buried pipeline 7 of earthing pole 6 and buries
The material of ground pipeline 7.
Step 102, by x_{0}Individual insulation sectionalizing joint is distributed on buried pipeline 7, based on soil model, earthing pole model with
And buried pipeline model, it is thus achieved that original tube epd, wherein x_{0}For the integer more than 0；In more detail, obtained is initial
Pipe to soil potential difference is as the initial value for comparing；Preferably, by x_{0}Individual insulation sectionalizing joint is evenly distributed on buried pipeline 7
On, obtain the original tube epd of correspondence, so can reduce corresponding iterations, obtain original tube the most more efficiently
Epd.It should be noted that obtained original tube epd under a kind of distribution mode, on buried pipeline
Big pipe to soil potential is poor, and (pipe to soil potential that can obtain every segment pipe section respectively corresponding is poor, then obtains largest tube earth potential by comparing
Difference).It should be noted that and work as x_{0}Pipe ground during equal to 0, when i.e. judging not use insulation sectionalizing joint, corresponding to buried pipeline
Whether potential difference meets the largest tube earth potential allowed less than buried pipeline.
Step 103, based on soil model, earthing pole model and buried pipeline model, according to preset algorithm, by x_{0}Individual absolutely
Edge sectionalizing joint is distributed on buried pipeline 7 with the distribution mode that H kind is different, and the corresponding first pipe to soil potential difference that obtains is to H
Pipe to soil potential is poor；Obtain the minimum tube earth potential in original tube epd, the first pipe to soil potential difference to H pipe to soil potential difference
Difference, and the x corresponding with minimum tube epd_{0}The position vector of individual insulation sectionalizing joint；Wherein H is whole more than or equal to 1
Number；It should be noted that the first pipe to soil potential difference to H pipe to soil potential difference is under corresponding distribution mode, buried pipeline
On largest tube epd (pipe to soil potential that can obtain every segment pipe section respectively corresponding is poor, then by comparing acquisition largest tube
Epd), and the preset algorithm used can provide the H kind different distributions mode of optimization relatively, is distributed for each
The pipe to soil potential that mode can obtain correspondence is poor.Further, using pipe to soil potential difference as object function, will be with x_{0}Individual absolutely
Edge sectionalizing joint x one to one_{0}Individual position vector, as independent variable, obtains minimum tube epd by preset algorithm, with
And the x corresponding with minimum tube epd_{0}The position vector of individual insulation sectionalizing joint；Wherein, it is possible to the preset algorithm of employing
Kind is varied, such as: genetic algorithm, simulated annealing, ant group algorithm, neural network algorithm, tabu search algorithm etc..
Step 104, compares the largest tube earth potential that minimum tube epd and buried pipeline 7 allow, works as minimum
When pipe to soil potential difference is less than or equal to largest tube earth potential, the x corresponding with minimum tube epd obtained in step 103_{0}Individual absolutely
The position vector of edge sectionalizing joint is objective result；When minimum tube epd is more than largest tube earth potential, by x_{0}Add 1 also
Re-execute step 102 to step 104；Concrete, when the minimum tube epd obtained is less than or equal to largest tube earth potential
Time, i.e. judge insulation sectionalizing joint quantity now, and the position vector of each insulation sectionalizing joint is final calculating knot
Really, when the actual operation carrying out graded insulation, choose the insulation sectionalizing joint of respective amount according to result of calculation, and according to meter
Calculate the position vector of each insulation sectionalizing joint of display in result, insulation sectionalizing joint is arranged on the position of correspondence, with regard to energy
Enough effects realizing reducing pipe to soil potential difference；When the minimum tube epd obtained is more than largest tube earth potential, can be by
The quantity of insulation sectionalizing joint increases by 1, and re-executes step 102 to step 104, meets condition (minimum tube until obtaining
Epd be less than or equal to largest tube earth potential) result till.
It should be noted that the largest tube earth potential that buried pipeline 7 allows can be the standard value set in prior art,
Can also be that staff considers the factors such as safety, the largest tube earth potential value being manually set.
In the method arranging buried pipeline graded insulation that the embodiment of the present invention provides, it is possible to based on constructed soil mould
Type, earthing pole model and buried pipeline model, according to preset algorithm by x_{0}Individual insulation sectionalizing joint is with different distribution modes
It is distributed on buried pipeline 7, and obtains the original tube epd corresponding to buried pipeline 7 and the first pipe to soil potential difference extremely
H pipe to soil potential is poor；Minimum tube ground in original tube of reentrying epd, the first pipe to soil potential difference to H pipe to soil potential difference
Potential difference, and the x corresponding with minimum tube epd_{0}Individual position vector；The most again by obtain minimum tube epd with
The largest tube earth potential that buried pipeline 7 allows compares, at minimum tube epd less than or equal to the earthy feelings of largest tube
Under condition, the x corresponding with minimum tube epd obtained in step 103_{0}Individual position vector, just for objective result, i.e. confirms
The quantity of excellent insulation sectionalizing joint is x_{0}Individual, and x_{0}Individual insulation sectionalizing joint institute x one to one_{0}Individual position vector；And
In the case of minimum tube epd is earthy more than largest tube, only need to be by x_{0}Add 1 and re-execute step 102 to step 104,
Until till obtaining the quantity of the insulation sectionalizing joint meeting condition, and the position vector that respectively insulation sectionalizing joint is corresponding.
Therefore, in the method arranging buried pipeline graded insulation that the present invention provides, it is possible to obtain insulation sectionalizing joint and exist
Different pipe to soil potentials corresponding under different distributions mode are poor, and can be determined the insulation segmentation of specified quantity by preset algorithm
Joint Optimal Distribution position on buried pipeline 7 so that optimize process more science, avoided the subjective factors of designer.
And, increase the quantity using insulation sectionalizing joint during optimization from small to large so that optimization process has standardized behaviour
Make flow process, obtain minimum insulation sectionalizing joint usage quantity when reaching and optimizing design condition, reduce follow-up work to greatest extent
Journey amount and spillage of material.
On buried pipeline 7, the method for solving of the pipe to soil potential difference of optional position has a variety of, given below a kind of concrete
The method for solving of pipe to soil potential difference, and the principle solved is described in detail.Above-mentioned original tube epd, the first pipe ground electricity
Potential difference all can solve by the following method to H pipe to soil potential difference.
Referring to Fig. 2, the method solving pipe to soil potential difference comprises the following steps:
Step 201, buried pipeline is divided into duct section by insulation sectionalizing joint；The buried device with electric conductivity is divided into
Section；Each segment pipe section, each section of buried device, and each insulation sectionalizing joint are referred to as conductor segment, if conductor segment
Number is n；Concrete, n section conductor segment includes some sections be divided into by buried device, some sections be divided into by buried pipeline,
And the x used_{0}Individual insulation sectionalizing joint.It addition, the kind with the one or more buried device of electric conductivity has very
Many, such as: earthing pole, but it is not limited only to this.
Step 202, the current potential V that the leakage current produced according to n section conductor segment correspondence produces at the midpoint of kth conductor segment_{k}, obtain
Obtain the axial current of kth conductor segment, wherein 1≤k≤n；
Step 203, according to Kirchhoff's current law (KCL) and the axial current of kth conductor segment, it is thus achieved that n section conductor segment correspondence is produced
Raw leakage current；
Step 204, according to the leakage current of duct section, and the anticorrosive coat resistance of duct section, it is thus achieved that the pipe ground electricity of duct section
Potential difference.In more detail, by the leakage current of the duct section of acquisition is multiplied with the anticorrosive coat resistance of duct section, it becomes possible to obtain
The pipe to soil potential of duct section is poor, this makes it possible to obtain the pipe to soil potential of optional position on buried pipeline poor, thus obtains above-mentioned
Original tube epd, the first pipe to soil potential difference are poor to H pipe to soil potential.
The method solving pipe to soil potential difference in order to clearer explanation is above-mentioned, specific embodiment given below.
Embodiment one:
Buried pipeline 7 is the hollow buried cylindrical conductor of a kind of anticorrosive coat 5 being coated with insulation, connects using insulation segmentation
After buried pipeline 7 is divided into some segments by head, whole buried pipeline 7 is equivalent to be divided into the hollow buried circle of some segments
Post conductor；Earthing pole 6 is a kind of being embedded in greatly so that the conductor being connected with the earth or the combination of several conductor, can be regarded equally
For buried cylindrical conductor；Owing in the soil around buried conductor, the current potential of any point is all by the leakage current of all buried conductors
Common generation；Therefore, when calculating the pipe to soil potential of buried pipeline 7, it is necessary to obtain every section of buried conductor at buried pipeline 7
The leakage current distribution of upper correspondence position.
Refer to Fig. 3, buried pipeline 7 is divided into some sections, and each buried device is divided into some sections, including use
Including insulation sectionalizing joint, can obtain n section conductor segment altogether, the anticorrosive coat 5 of each of which segment pipe section is equivalent to be connected to this section
The anticorrosive coat resistance of a resistance between duct section and near-earth (the earth near this segment pipe section), i.e. pipeline (such as:
R_{k-coat}And R_{(k+1)-coat})；And, the leakage current that n section conductor segment produces all can produce current potential on the surface of every section of conductor segment, from
And form the mutual resistance between n section conductor segment.It should be noted that the length of each section of conductor segment is the shortest, calculated each section
The leakage current distribution of conductor segment, and the Potential distribution of each section of conductor segment and practical situation closer to；And, when each section of conductor segment
Length sufficiently small time, it is possible to think that the corresponding leakage current produced of this section of conductor segment flows from the Point Set of this segment pipe section
Go out.
According to above-mentioned analysis, it is possible to obtain leakage current produced by each section of conductor segment, produce at the midpoint of kth conductor segment 3
Current potential V_{k}Meet equation below:
${V}_{k}^{c}=\underset{p=1}{\overset{n}{\Σ}}{R}_{kp}{I}_{p}^{l}$
${V}_{k}={V}_{k}^{c}+{R}_{k-coat}{I}_{k}^{l}$
${V}_{k}={R}_{k-coat}{I}_{k}^{l}+\underset{p=1}{\overset{n}{\Σ}}{R}_{kp}{I}_{p}^{l}---\left(1\right)$
Wherein, n is the sum of conductor segment, R_{k-coat}For the anticorrosive coat resistance of kth conductor segment 3, R_{kp}For kth conductor segment 3 and
Mutual resistance between p conductor segment,For the leakage current of pth conductor segment,The leakage current produced for all conductor segment is at kth section pipe
The current potential that midpoint, road anticorrosive coat outer surface produces.
The current potential item that leakage current produced by kth conductor segment 3 is produced on the anticorrosive coat 5 of selfLead with kth
The current potential item that leakage current produced by body section 3 produces at its own faceMerge, after abbreviation, can obtain equation below:
R′_{kk}=R_{kk}+R_{k-coat} (2)
Wherein, R_{kk}The mutual resistance formed with self for kth conductor segment 3；According to formula (2) can be by formula (1) abbreviation:
${V}_{k}=\underset{p=1}{\overset{n}{\Σ}}{R}_{kp}{I}_{p}^{l}---\left(3\right)$
It should be noted that the R as p=k, in formula (3)_{kk}The R ' in above-mentioned formula (2) should be replaced with_{kk}。
Referring to Fig. 4, each section of conductor segment is satisfied by Kirchhoff's law, i.e. corresponding equation below:
${I}_{k}^{-}+{I}_{k}^{+}+{I}_{k}^{s}={I}_{k}^{l}---\left(4\right)$
Wherein,The leakage current produced for kth conductor segment 3,For the injection current of kth conductor segment 3,WithThe most right
Answer the axial current of kth conductor segment 3 different directions.
Refer to Fig. 5 and Fig. 6, be a local calculation center with the intersection point of each section of conductor segment, connected each section of intersection point
Conductor segment, as a local conductor network, sets up local conductor circuit diagram；Wherein, V_{1}Leak electricity produced by each section of conductor segment
Flow the current potential produced at the midpoint of the first conductor segment 1, V_{2}Produced by each section of conductor segment, leakage current is in the second conductor segment 2
The current potential that point produces, V_{q}The current potential that leakage current produced by each section of conductor segment produces at the midpoint of q conductor segment 4；It is
One conductor segment 1 starting point to the self-impedance between midpoint,It is the second conductor segment 2 starting point to the self-impedance between midpoint,For
Kth conductor segment 3 starting point to the self-impedance between midpoint,It is q conductor segment 4 starting point to the self-impedance between midpoint.
With the intersection point A between each section of conductor segment for object column write circuit equation, detailed process is as follows:
If the current potential of A point is V, according to Kirchhoff's current law (KCL), it is possible to obtain:
$\underset{k=1}{\overset{q}{\Σ}}\frac{V-{V}_{k}}{{R}_{{k}^{-}k}}=0---\left(5\right)$
Owing to the current potential V of A point meets equation below:
$V=\frac{\frac{{V}_{1}}{{R}_{{1}^{-}1}}+\frac{{V}_{2}}{{R}_{{2}^{-}2}}+...+\frac{{V}_{q}}{{R}_{{q}^{-}q}}}{\frac{1}{{R}_{{1}^{-}1}}+\frac{1}{{R}_{{2}^{-}2}}+...+\frac{1}{{R}_{{q}^{-}q}}}---\left(6\right)$
Formula (6) is brought in formula (5), and carries out abbreviation:
${I}_{k}^{-}=\frac{V-{V}_{k}}{{R}_{{k}^{-}k}}=(\frac{\frac{{V}_{1}}{{R}_{{1}^{-}1}}+\frac{{V}_{2}}{{R}_{{2}^{-}2}}+...+\frac{{V}_{q}}{{R}_{{q}^{-}q}}}{\frac{1}{{R}_{{1}^{-}1}}+\frac{1}{{R}_{{2}^{-}2}}+...+\frac{1}{{R}_{{q}^{-}q}}}-{V}_{k})/{R}_{{k}^{-}k}$
${I}_{k}^{-}=\frac{\frac{{V}_{1}-{V}_{k}}{{R}_{{1}^{-}1}}+\frac{{V}_{2}-{V}_{k}}{{R}_{{2}^{-}2}}+...+\frac{{V}_{q}-{V}_{k}}{{R}_{{q}^{-}q}}}{\frac{1}{{R}_{{1}^{-}1}}+\frac{1}{{R}_{{2}^{-}2}}+...+\frac{1}{{R}_{{q}^{-}q}}}/{R}_{{k}^{-}k}$
${I}_{k}^{-}=\left(\underset{p=1}{\overset{q}{\Σ}}\frac{{V}_{p}-{V}_{k}}{{R}_{{p}^{-}p}}\right)/\left(\underset{p=1}{\overset{q}{\Σ}}\frac{1}{{R}_{{p}^{-}p}}\right)/{R}_{{k}^{-}k}---\left(7\right)$
Wherein, q is the sum (i.e. intersection point between q section conductor segment is A) of the conductor segment involved by intersection point A, V_{p}For each section
The current potential that leakage current produced by conductor segment produces at the midpoint of pth conductor segment.
Formula (3) is updated to formula (7), and formula (7) is carried out abbreviation:
$\begin{array}{c}{I}_{k}^{-}=\left(\underset{p=1}{\overset{q}{\Σ}}\frac{{V}_{p}-{V}_{k}}{{R}_{{p}^{-}p}}\right)/\left(\underset{p=1}{\overset{q}{\Σ}}\frac{1}{{R}_{{p}^{-}p}}\right)/{R}_{{k}^{-}k}\\ =\left(\underset{p=1}{\overset{q}{\Σ}}\frac{\underset{i=1}{\overset{n}{\Σ}}{R}_{pi}{I}_{i}^{l}-\underset{i=1}{\overset{n}{\Σ}}{R}_{ki}{I}_{i}^{l}}{{R}_{{p}^{-}p}}\right)/\left(\underset{p=1}{\overset{q}{\Σ}}\frac{1}{{R}_{{p}^{-}p}}\right)/{R}_{{k}^{-}k}\\ =\left(\underset{p=1}{\overset{q}{\Σ}}\right(\underset{i=1}{\overset{n}{\Σ}}\frac{{R}_{pi}{R}_{ki}}{{R}_{{p}^{-}p}}{I}_{i}^{l}))/\left(\underset{p=1}{\overset{q}{\Σ}}\frac{1}{{R}_{{p}^{-}p}}\right)/{R}_{{k}^{-}k}\\ =\left(\underset{p=1}{\overset{q}{\Σ}}\right(\left[\begin{array}{cccc}\frac{{R}_{p1}-{R}_{k1}}{{R}_{{1}^{-}1}}& \frac{{R}_{p2}-{R}_{k2}}{{R}_{{2}^{-}2}}& ...& \frac{{R}_{pn}-{R}_{kn}}{{R}_{{n}^{-}n}}\end{array}\right]\left[\begin{array}{c}{I}_{1}^{l}\\ {I}_{2}^{l}\\ \·\\ \·\\ \·\\ {I}_{n}^{l}\end{array}\right]))/\left(\underset{p=1}{\overset{q}{\Σ}}\frac{1}{{R}_{{p}^{-}p}}\right)/{R}_{{k}^{-}k}\end{array}$
Thus obtain following expression:
${I}_{k}^{-}=\left(\underset{p=1}{\overset{q}{\Σ}}\right(\left[\begin{array}{cccc}\frac{{R}_{p1}-{R}_{k1}}{{R}_{{1}^{-}1}}& \frac{{R}_{p2}-{R}_{k2}}{{R}_{{2}^{-}2}}& ...& \frac{{R}_{pn}-{R}_{kn}}{{R}_{{n}^{-}n}}\end{array}\right]\left[\begin{array}{c}{I}_{1}^{l}\\ {I}_{2}^{l}\\ \·\\ \·\\ \·\\ {I}_{n}^{l}\end{array}\right]\left)\right)/\left(\underset{p=1}{\overset{q}{\Σ}}\frac{1}{{R}_{{p}^{-}p}}\right)/{R}_{{k}^{-}k}---\left(8\right)$
Wherein, R_{k1}For the mutual resistance between kth conductor segment 3 and the first conductor segment 1, R_{p1}For pth conductor segment and the first conductor
Mutual resistance between section 1, R_{k2}For the mutual resistance between kth conductor segment 3 and the second conductor segment 2, R_{p2}For pth conductor segment and second
Mutual resistance between conductor segment 2, R_{pn}For the mutual resistance between pth conductor segment and the n-th conductor segment, R_{kn}For kth conductor segment 3 and n-th
Mutual resistance between conductor segment,It is the leakage current of the first conductor segment 1 generation,It is the leakage current of the second conductor segment 2 generation,
It it is the leakage current of the n-th conductor segment generation.
Obtain according to above-mentionedDerivation, be in like manner obtained in thatCorresponding expression formula, by formula (8) andInstitute
Corresponding expression formula is brought in above-mentioned formula (4) and carries out abbreviation, and after abbreviation, each section of conductor segment all can corresponding only obtain
Equation containing one unknown quantity of leakage current:
$\underset{p=1}{\overset{n}{\Σ}}{a}_{kp}{I}_{p}^{l}=-{I}_{k}^{s}---\left(9\right)$
Wherein,The leakage current produced for pth conductor segment,For the injection current of kth conductor segment 3,It it is known quantity；a_{kp}
For calculated parameter can be substituted into according to known parameters such as existing self-resistance and mutual resistances.
Formula (9) is expressed as follows with the form of system of linear equations:
Formula (10) is the system of linear equations with leakage current corresponding to each section of conductor segment as unknown quantity, enters formula (10)
Row solves, it is thus achieved that the leakage current that each section of conductor segment is corresponding, the leakage current each segment pipe section correspondence produced, with it one to one
Anticorrosive coat resistance is multiplied, it becomes possible to obtain the pipe to soil potential of optional position on buried pipeline 7 poor.
According to the method for the pipe to soil potential difference of optional position on above-mentioned acquisition buried pipeline 7, it is possible to obtain x_{0}Individual insulation divides
When section joint is distributed on buried pipeline 7 by different way, corresponding pipe to soil potential is poor.Minimum tube of reentrying epd,
And the x corresponding with minimum tube epd_{0}The position vector of individual insulation sectionalizing joint.It should be noted that used pre-
The kind of imputation method has a lot, such as: genetic algorithm, simulated annealing, ant group algorithm, neural network algorithm, TABU search
Algorithm etc.；Below as a example by genetic algorithm, the detailed process asking for minimum tube epd is described in detail.
With with x_{0}Individual insulation sectionalizing joint x one to one_{0}Individual position vector m is independent variable, with the pipe ground of buried pipeline 7
Potential difference is object function, obtains target function type:
U=min f (m) (11)
Wherein, u is that the pipe to soil potential of buried pipeline 7 is poor.
With formula (12) and formula (13) as constraints.
m∈R (12)
$R\⋐U---\left(13\right)$
Wherein, U is fundamental space, and R is the subset of U；And solution m meeting constraints is referred to as feasible solution, set R represents institute
The set being made up of the solution meeting constraints, referred to as feasible solution set.
The elementary operation process of genetic algorithm is as follows:
Initialize: evolutionary generation initial value t=0 is set, maximum evolutionary generation T, stochastic generation several body conduct are set
Initial population P (0).
Individual evaluation: calculate the fitness of all individualities in colony P (t).
Selecting operation: on the basis of ideal adaptation degree is assessed, operator is selected.
Crossing operation: crossover operator is acted on colony.
Mutation operator: mutation operator is acted on colony.
Colony P (t) obtains colony P (t+1) of future generation after selection, intersection, mutation operator.
End condition judges: if t=T (evolutionary generation reaches maximum), then with obtained having in evolutionary process
Big fitness is individual to be exported as optimal solution, and calculating terminates.
During practice of construction designs, according to different needs, can be for whole piece buried pipeline 7 or buried pipeline 7
Specify the different situations such as region, carry out concrete calculating and judge process, refer to Fig. 7, for whole piece buried pipeline 7
In the case of, in a step 102, original tube epd correspondence whole piece buried pipeline 7, i.e. obtain at the beginning of on whole piece buried pipeline 7
Beginning pipe to soil potential is poor；In step 103, the first pipe to soil potential difference, to H pipe to soil potential difference correspondence whole piece buried pipeline 7, i.e. obtains
Obtain the first pipe to soil potential difference on whole piece buried pipeline 7 poor to H pipe to soil potential；Minimum tube epd correspondence whole piece underground pipe
Road 7, i.e. obtains the minimum tube epd on whole piece buried pipeline 7.At step 104, largest tube earth potential correspondence whole piece buries
Ground pipeline 7, i.e. obtains the largest tube earth potential allowed on whole piece buried pipeline 7.
Refer to Fig. 8, in the case of for the appointment region of buried pipeline 7, in a step 102, original tube earth potential
The appointment region of the corresponding buried pipeline 7 of difference, i.e. obtain buried pipeline 7 specifies the original tube epd on region；In step
In 103, the appointment region of the first pipe to soil potential difference to H pipe to soil potential difference correspondence buried pipeline 7, i.e. obtain buried pipeline 7
Specify the first pipe to soil potential difference on region poor to H pipe to soil potential；The appointment district of minimum tube epd correspondence buried pipeline 7
Territory, i.e. obtain buried pipeline 7 specifies the minimum tube epd on region.At step 104, largest tube earth potential correspondence is buried
The appointment region of ground pipeline 7, i.e. obtain buried pipeline 7 specifies the largest tube earth potential allowed on region.
The embodiment of the present invention also provides for a kind of device arranging buried pipeline graded insulation, is used for implementing above-mentioned layout buried
The method of duct segments insulation.The device of this layout buried pipeline graded insulation, operator only need to input soil characteristic parameter,
The given datas such as the position of earthing pole parameter, the position of earthing pole 6, buried pipeline parameter and buried pipeline 7 set up model, i.e.
Whole optimization process can be transferred to the device arranging buried pipeline graded insulation complete, significantly improve and buried pipeline is carried out
The efficiency of graded insulation optimization design.
The device arranging buried pipeline graded insulation that above-described embodiment provides can be computer, but is not limited only to this；
When arrange buried pipeline graded insulation device be computer time, will above-described embodiment provide layout buried pipeline segmentation exhausted
Execution step in the method for edge, correspondence is written as computer program, by Computer assistant and optimizing design, gives underground pipe of sening as an envoy to
Completely, or part specifies region to meet the minima of insulation sectionalizing joint quantity and the optimal location of pipe to soil potential requirement in road 7.
The method arranging buried pipeline graded insulation provided for the clearer explanation embodiment of the present invention, given below
Specific embodiment:
Refer to Fig. 9, select buried pipeline 7 length 100km, buried pipeline 7 caliber 1219mm, buried pipeline 7 wall thickness
18.4mm, buried pipeline 7 material is X80 steel pipe, and Three-layer PE 5 surface resistivity is 10^{5}Ω·m^{2}.Soil near earthing pole 6
Characterisitic parameter: monolayer soil, resistivity 1000 Ω m；Earthing pole 6 injection current 3000A, earthing pole 6 is vertical away from buried pipeline 7
Distance 5km.When being not added with insulation sectionalizing joint, the largest tube earth potential of buried pipeline 7 is 47.5V, optimizes meter the most as follows
Calculate:
Set largest tube earth potential that buried pipeline 7 allows as 30V, sets estimate the insulation sectionalizing joint quantity that increases as
Two.Obtaining result of calculation: minimum tube epd is 28.2V, the largest tube earth potential allowed less than buried pipeline 7 is 30V,
Therefore, set up two insulation sectionalizing joints, and corresponding position vector m=[-12,12] obtaining each insulation sectionalizing joint, i.e. two
Individual insulation sectionalizing joint is added in the place away from buried pipeline 7 intermediate point left and right 12km respectively.
In the description of above-mentioned embodiment, specific features, structure, material or feature can be at any one or many
Individual embodiment or example combine in an appropriate manner.
The above, the only detailed description of the invention of the present invention, but protection scope of the present invention is not limited thereto, and any
Those familiar with the art, in the technical scope that the invention discloses, can readily occur in change or replace, should contain
Cover within protection scope of the present invention.Therefore, protection scope of the present invention should be as the criterion with described scope of the claims.