CN104931853B - A kind of grounding net of transformer substation corrosion diagnosis method based on surface potential distribution - Google Patents
A kind of grounding net of transformer substation corrosion diagnosis method based on surface potential distribution Download PDFInfo
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- CN104931853B CN104931853B CN201510309652.8A CN201510309652A CN104931853B CN 104931853 B CN104931853 B CN 104931853B CN 201510309652 A CN201510309652 A CN 201510309652A CN 104931853 B CN104931853 B CN 104931853B
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y04—INFORMATION OR COMMUNICATION TECHNOLOGIES HAVING AN IMPACT ON OTHER TECHNOLOGY AREAS
- Y04S—SYSTEMS INTEGRATING TECHNOLOGIES RELATED TO POWER NETWORK OPERATION, COMMUNICATION OR INFORMATION TECHNOLOGIES FOR IMPROVING THE ELECTRICAL POWER GENERATION, TRANSMISSION, DISTRIBUTION, MANAGEMENT OR USAGE, i.e. SMART GRIDS
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- Y04S10/50—Systems or methods supporting the power network operation or management, involving a certain degree of interaction with the load-side end user applications
- Y04S10/52—Outage or fault management, e.g. fault detection or location
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Abstract
The invention discloses a kind of grounding net of transformer substation corrosion diagnosis method based on surface potential distribution, it comprises the following steps:Calculate the surface potential distribution of grounded screen;Choose tested conductor and measuring point measures to surface potential;Non- measuring point surface potential is calculated according to measuring point surface potential, and then show that surface potential is distributed;By calculated value compared with measuring and calculation result, failure judgement region;Further measuring and calculation is carried out to region inner wire section;Compare calculating gained Potential distribution curve and measuring and calculation curve obtained, if the surface potential fall of certain conductor segment is more than a threshold value, and the surface potential of other conductor segments slightly rises in region, then judges that the conductor segment corrodes section.This method on the premise of workload is greatly decreased, can detect the corrosion failure position of grounding net of transformer substation effectively, exactly, so as to adopt an effective measure in time, improve the operational reliability of grounding net of transformer substation.
Description
Technical field
The present invention relates to power network detection technique field, more particularly, to a kind of substation grounding based on surface potential distribution
Net corrosion diagnosis method.
Background technology
Grounded screen is the important component of transformer station, the safe and stable operation shadow of the reliability of its work to power system
Sound is great.With fast development of China's power network to super-pressure, Large Copacity and remote direction, safety for power system,
Stable and economical operation requirement also more and more higher.Correspondingly, to ensure the safe and stable operation of power network, it is reliable to improve power supply
Property, it is ensured that personal safety, higher and higher requirement is proposed to the performance of grounding net of transformer substation.
Grounding net of transformer substation is embedded in underground for a long time, inevitably by the electrochemical corrosion of soil.At the same time, flow
The stray electrical current of grounded conductor can also cause ground net corrosion or even fracture, down conductor section to diminish, between grounding body
The problems such as loose contact.Further, since construction reason, grounded screen there is likely to be the potential faults such as sealing-off or rosin joint.These events
Barrier can cause grounded screen performance to decline to a great extent, and then may trigger major accident and bring huge economic loss.
China due to resource and many reasons of economic dispatch, material used in existing grounding net of transformer substation mostly using ordinary carbon steel as
It is main so that the grounding grids for etch state occur typically exhibit local corrosion state.After grounded screen is corroded, grounded screen is led
The carbon steel material of body occur become fragile, aliquation, it is loose, thinned, even occur fracture etc. state, seriously jeopardize grounding net of transformer substation
And the safe and reliable operation of power system is reliable, how it is timely and effective detection grounding net of transformer substation potential faults so that take
Corresponding safeguard procedures have turned into the existing grounded screen maintenance work of power industry distinct issues the most.
At present, operations staff is typically having found unqualified grounding resistance of transformer substation grounding net, grounded screen initiation accident or connect
Earth mat puts into operation searches the abort situation of grounding net of transformer substation after 10-15 by large area exploitation, but this method is present
Blindness is strong, excavates the defects of workload is big and long in time limit, and can influence the normal operation of transformer station.In addition, according to transformer station
The characteristics of the dispersed flow of grounded screen, some new grounded screen fault detection methods also occur successively, mainly there is three kinds:First, it is based on electromagnetism
Field theory, it is special according to the distribution of magnetic induction intensity by injecting the magnetic induction intensity of exciting current detection ground surface to grounded screen
Sign carries out fault diagnosis to grounded screen, but this method is disturbed by substation field electromagnetic environment, and is difficult to specific abort situation
Accurate judgement is carried out, the conductor for corroding but being not yet broken also is difficult to make Precise Diagnosis.Second, Circuit theory is based on, by building
Vertical diagnosis equation and the fault diagnosis that net is grounded with reference to corresponding optimized algorithm, but this method computing is complex, examines
The higher influence diagnostic accuracy of disconnected equation Degree of Ill Condition, and be difficult to obtain by this method when grounded screen only locally lies in minor failure
To identifying and diagnosing.Third, being based on electric field theory, surface potential distribution is detected by injecting exciting current to grounded screen, so as to dock
Earth mat carries out fault diagnosis, but the more workload of measuring point needed for the existing corrosion diagnosis method based on surface potential distribution is big, and
It is possible to occur causing the erroneous judgement of trouble point or the situation failed to judge because Site Detection is inaccurate.
The content of the invention
It is an object of the invention to provide a kind of detection method of grounding net of transformer substation corrosion failure, this method by test and
The surface potential distribution of analysis grounding net of transformer substation is calculated, can be realized to the efficient, accurate of grounding net of transformer substation corrosion failure
Judge.
In order to realize foregoing invention purpose, the invention provides a kind of grounding net of transformer substation based on surface potential distribution is rotten
Diagnostic method is lost, is comprised the following steps:
(1) surface potential that grounded screen is calculated using numerical computation method is distributed;Calculate grounding net of transformer substation surface potential
Distribution can use following numerical computation method:
The grounded screen that interstitial content is m is divided into n section conductors by 1a., calculates the mutual resistance matrix R between this n section conductor, its
In, matrix element RijThe mutual impedance between i sections conductor and j section conductors is represented, its calculation formula is:
In formula, σEFor soil conductivity;ε0For permittivity of vacuum;εrFor soil relative dielectric constant;εE=ε0·εrFor
Soil dielectric constant;liWith ljRespectively i-th section and jth section conductor length;li'For the image length of i-th section of conductor;Di,jTo incite somebody to action
The distance between i-th section and jth section conductor;Di',jFor by the distance between i-th section of conductor mirror image and jth section conductor;
1b. represents this n section conductor respectively using T-shaped equivalent circuit, i.e. 1 section of conductor corresponds to 1 T-shaped equivalent circuit, described
T-shaped equivalent circuit by i-th section of conductor (i=1 ..., n) self-inductance L, self-resistance Z0, i-th section and jth section (j=1 ..., n)
Mutual inductance M between conductor, i-th section of conductor direct-to-ground capacitance C and conductance G is formed over the ground;After T-shaped circuit equivalent, the ground connection
Net shares m+n node and 2n section conductors;
1c. calculates the incidence matrix A of grounded screen each section of conductor after T-shaped equivalent circuit is equivalent, wherein, incidence matrix A's
Row corresponds to number of branches 2n corresponding to grounded screen the interstitial content m+n after T-shaped equivalent circuit is equivalent, incidence matrix A row,
Arbitrary element a in incidence matrix Ai,jDefinition be:
1d. calculates the impedance matrix Z of the grounded screen after T-shaped equivalent circuit is equivalent with m+n node and 2n bar branch roads,
Its calculation formula is:
In formula, Mi,jFor each branch road of grounded screen through it is T-shaped it is equivalent after mutual inductance matrix;kiFor through it is T-shaped it is equivalent after i-th section of conductor
Length (i=1 ..., 2n);hi,jFor the distance between i-th section of conductor and jth section conductor;Z0iFor the internal impedance of i-th section of conductor;μ0
For soil magnetic conductivity, and assume that soil is identical with air permeability;μ=μ0μrFor conductor magnetic conductivity;μr
For conductor relative permeability;ρcFor conductor resistance rate;r0For conductor radius;I0(γr0)、I1(γr0) it is respectively zeroth order and single order
Bessel function;
1e. is Y according to incidence matrix A and impedance matrix Z calculate node admittance matrixsn+m=AZ-1AT;According to impedance matrix
R calculates admittance matrix, is G=R-1;
1f. calculates the midpoint potential of grounding grids n section conductorsAnd node potentialThis can be by solving grounded screen
The fundamental equation of mathematical modeling obtains, and the fundamental equation of described grounded screen mathematical modeling is:
In formula, G is n × n matrix;For n midpoint potential column vector;For m node column vector;For m node Injection Current column vector;
1g. calculates the leakage current distribution of grounding grids n section conductors, and this can pass through equationTry to achieve.Its
In, mutual resistance matrix R is n × n matrix;It is on every section of conductor for n dimensional vectors
Leak electricity flow vector;For n midpoint potential column vector;
1h. calculates the current potential of any point on ground according to the electric leakage flow distribution for the grounding grids tried to achieve using principle of stacking
It is distributed, the potential calculation formula on ground at any point P is:
In formula, UiPFor i-th section of conductor leakage current a p-shaped into surface potential;ρ is soil resistivity;rp,zpFor i-th
The polar coordinate representation of distance between section conductor midpoint and point P;
To every section of conductor, the current potential that its leakage current is formed in each Ground Point of grounded screen is calculated respectively, then by all conductors
Result of calculation is overlapped, so as to obtain the surface potential of grounded screen distribution result of calculation;
(2) grounding net of transformer substation described in AC signal generator is applied to inject power frequency exciting current, the power frequency exciting current
Can by grounded screen it is any can and node inject, using power frequency parameter test instrument along measurement surface potential above earth conductor, its
In, by the way of being chosen when choosing tested conductor using interval, i.e., to adjacent parallel conductors, have and only a conductor is led for test
Body, to every tested conductor, every conductor is divided into some conductor segments using node as cut-point, and choose six deciles of conductor segment
Point is measuring point;
(3) according to the surface potential measured value of the measuring point, the earth's surface using least square method to the non-measuring point of tested conductor
Current potential is calculated, and then draws the surface potential distribution of grounding grids;Calculated entirely according to part earth's surface potential measurement value
Portion's surface potential distribution is available to be calculated as below method:
3a. is to a certain conductor segment, according to the point position coordinate x=[x in conductor segment0,x1,…,x6] and corresponding measuring point
Surface potential measured value f (x)=[f (x0),f(x1),…,f(x6)], construction orthogonal polynomial { PL(x) }, its recurrence Relation
For:
In formula, Pk(x) it is k order polynomials that leading coefficient is 1;ak、βkFor multinomial coefficient;
According to Pk(x) orthogonality draws ak、βkWith Pk(x) relational expression, its expression formula are:
By ak、βkExpression formula substitute into { PL(x) stepping type }, progressively recursion obtain { PL(x) each single item in }, and then
The complete polynomial construction of pairwise-orthogonal;
3b. digital simulation curve coefficientsAnd progressivelyIt is added in matched curve function F (x), and then
Surface potential to the conductor segment is distributed, and described coefficient formulas and surface potential expression formula are:
3c. calculates the distribution of its surface potential, and then be superimposed as stated above to each conductor segment of all tested conductors
To whole earth's surface Potential distributions;
(4) actual earth's surface Potential distribution and theoretical earth's surface Potential distribution, to same earth conductor, draw respectively normal
Operating mode and the surface potential curve under actual condition, the conductor segment that all surface potential distributions change is filtered out, i.e., certain is led
Body the surface potential of continuous measuring point be present while increase or reduction, then it is assumed that the surface potential distribution of the conductor changes, and enters
And observe the conductor segment position:
If some of which conductor segment is interconnected to form certain area, then it is assumed that the region using these conductor segments as rectangular edges
Trouble point inside be present;If some of which conductor is not connected with other any conductors changed greatly, then it is assumed that ground above the conductor
The theoretical calculation or fitting result of table current potential are wrong, need to re-start calculating and fitting.More conductor measurement results simultaneously
Diagnostic mode can avoid indivedual measuring points calculate, fitting is inaccurate or measurement error caused by diagnosis erroneous judgement or fail to judge;
(5) fault zone is further tested, using power frequency parameter test instrument to all conductor segments in region
The surface potential of top measures.Due to position of failure point being determined, in a smaller area, therefore, to lead to all in region
Body section measures can be on the premise of workload not be dramatically increased, conductor where accurate judgement hot spot, so as to avoid judging by accident
Or fail to judge;
(6) the actual surface potential of all conductor segments and surface potential obtained by theoretical calculation in the fault zone;
Surface potential intensity of variation caused by the conductor of different extent of corrosions also differs, if the range of decrease under the surface potential of certain conductor segment
Degree is more than 5%, and the surface potential of other conductor segments slightly rises in region, then it is assumed that this section of conductor presence is more obvious
Corrosion failure, so as to complete to be accurately positioned to grounding net of transformer substation corrosion failure.
That is, the surface potential that the technical program is the grounding net of transformer substation that will be calculated is distributed and according to test
The grounded screen surface potential distribution being calculated is compared, according to the relative error of the two it may determine that going out substation grounding
The working condition of net.
The further optimization of the present invention is:It is based on not to the theoretical calculation of grounded screen surface potential distribution in step 1
What equipotential grounded screen model was carried out, to ground connection body unit using lumped parameter substitution distributed constant, and by Circuit theory
It is combined with electric field theory, surface potential is calculated.
The further optimization of the present invention is:In step 2 to test earth conductor and the selection mode of corresponding measuring point significantly
Reduce the workload of on-the-spot test, it is particularly evident to large-scale grounding network.
The further optimization of the present invention is:The computational methods of surface potential can be fitted to obtain test in step 3 and led
The function expression of body surface potential, so as to obtain the surface potential of any point on conductor.
The further optimization of the present invention is:Comparison in step 4 to surface potential is using curve ratio compared with by the way of.It is right
Same earth conductor, nominal situation and the surface potential curve under actual condition are drawn respectively, judge the surface potential point of conductor
Whether cloth changes.It is it also avoid simultaneously by the diagnostic mode of more conductor measurement results because indivedual measuring points calculate
Diagnosis caused by inaccurate or measurement error is judged by accident or failed to judge.
The further optimization of the present invention is:Surface potential in step 5 in fault zone above all conductor segments enters
Row measurement, can either there are hot spot, conductor where the enough accurate judgement hot spots of and can, so as to avoid missing really in validation region
Sentence or fail to judge.
The further optimization of the present invention is:Further analysis in step 6 to fault zone inner wire section can be to corruption
Erosion position is accurately positioned, and corrosion section conductor is accurately distinguished with normal reach conductor.
The invention has the advantages that can in the case where not excavating transformer station, to ground net corrosion failure carry out compared with
For accurately positioning, simultaneously as employing surface potential the Fitting Calculation and regional analysis, the workload of on-the-spot test is big
Width is reduced, and also eliminates the diagnostic error caused by the calculating inaccuracy or test error of indivedual measuring points to greatest extent.
Brief description of the drawings
Below in conjunction with the drawings and specific embodiments come grounding net of transformer substation corrosion diagnosis method of the present invention is done into
The detailed description of one step.
Fig. 1 is the flow chart of grounding net of transformer substation corrosion diagnosis of the present invention;
Fig. 2 is the grounded screen model schematic in the embodiment of the present invention;
Fig. 3 is the T-shaped isoboles of grounding grids unit of the present invention;
Fig. 4 is grounded screen surface potential distribution result of calculation of the present invention;
Fig. 5 is the result of calculation of fault zone inner wire section top of the present invention surface potential and obtained by prediction
Actual surface potential result.
Embodiment
Reference picture 1, using certain substation grounding pessimistic concurrency control shown in Fig. 2 as subjects progress corrosion diagnosis, in Fig. 2, AB
Section is simulation corrosion failure section, and x, y are coordinate direction, and the origin of coordinates is O points, and the work of the grounded screen is judged according to the following steps
State:
(1) surface potential that grounded screen to be measured is calculated using numerical computation method is distributed, and calculates grounding net of transformer substation earth's surface
Potential distribution can use following numerical computation method:
The grounded screen that interstitial content is m is divided into n section conductors by 1a., m=25, n=40 in the present embodiment, is calculated this n section and is led
The mutual mutual resistance matrix R of body, wherein, matrix element RijThe mutual impedance between i sections conductor and j section conductors is represented, it is counted
Calculating formula is:
In formula, σEFor soil conductivity;ε0For permittivity of vacuum;εrFor soil relative dielectric constant;εE=ε0·εrFor
Soil dielectric constant;liWith ljRespectively i-th section and jth section conductor length;li' for the image length of i-th section of conductor;Di,jFor
The distance between i sections and jth section conductor;Di',jFor the distance between i-th section of conductor mirror image and jth section conductor;
1b. represents this n section conductor respectively using T-shaped equivalent circuit, i.e. 1 section of conductor corresponds to 1 T-shaped equivalent circuit, described
T-shaped equivalent circuit by i-th section of conductor (i=1 ..., n) self-inductance L, self-resistance Z0, i-th section and jth section (j=1 ..., n)
Mutual inductance M between conductor, i-th section of conductor direct-to-ground capacitance C and conductance G is formed over the ground, as shown in Figure 3.Through T-shaped circuit equivalent
Afterwards, the grounded screen shares m+n node and 2n section conductors, i.e. 65 nodes and 80 sections of conductors;
1c. calculates the incidence matrix A of grounded screen each section of conductor after T-shaped equivalent circuit is equivalent, wherein, incidence matrix A's
Row corresponds to number of branches 2n corresponding to grounded screen the interstitial content m+n after T-shaped equivalent circuit is equivalent, incidence matrix A row,
Arbitrary element a in incidence matrix Ai,jDefinition be:
1d. calculates the impedance matrix Z of the grounded screen after T-shaped equivalent circuit is equivalent with m+n node and 2n bar branch roads,
Its calculation formula is:
In formula, Mi,jFor each branch road of grounded screen through it is T-shaped it is equivalent after mutual inductance matrix;kiFor through it is T-shaped it is equivalent after i-th section of conductor
Length (i=1 ..., 2n);hi,jFor the distance between i-th section of conductor and jth section conductor;Z0iFor the internal impedance of i-th section of conductor;μ0
For soil magnetic conductivity, and assume that soil is identical with air permeability;μ=μ0μrFor conductor magnetic conductivity;μr
For conductor relative permeability;ρcFor conductor resistance rate;r0For conductor radius;I0(γr0)、I1(γr0) it is respectively zeroth order and single order
Bessel function;
1e. is according to incidence matrix A and impedance matrix Z calculate node admittance matrixs Ym+n=AZ-1AT, m+n=65 herein, root
Admittance matrix G=R is calculated according to impedance matrix R-1;
1f. calculates the midpoint potential of grounded screen n section conductorsAnd node potentialThis can be by solving grounded screen mathematics
The fundamental equation of model obtains, and the fundamental equation of described grounded screen mathematical modeling is:
In formula, G is n × n matrix;For n midpoint potential column vector;For m node column vector;For m node Injection Current column vector;Herein, m=25, n=40;
1g. calculates the leakage current of grounded screen n section conductors, and this can pass through equationTry to achieve.Wherein, mutual impedance
Matrix R is n × n matrix;It is the electric leakage flow direction on every section of conductor for n dimensional vectors
Amount;For n midpoint potential column vector;Herein, n=40;
1h. calculates the electricity on ground at any point according to the electric leakage flow distribution for the grounding grids tried to achieve using principle of stacking
Bit distribution, the potential calculation formula on ground at any point P are:
In formula, UiPFor i-th section of conductor leakage current a p-shaped into surface potential;ρ is soil resistivity;rp,zpFor i-th
The polar coordinate representation of distance between section conductor midpoint and point P;
To every section of conductor, the current potential that its leakage current is formed in each Ground Point of grounded screen is calculated respectively, then by all conductors
Result of calculation is overlapped, so as to obtain the surface potential of grounded screen distribution result of calculation, as shown in Figure 4;
(2) power frequency exciting current, the power frequency exciting current are injected to the grounding net of transformer substation with AC signal generator
Can by grounded screen it is any can and node inject, by power frequency parameter test instrument along measurement surface potential above earth conductor, choose
By the way of being chosen during tested conductor using interval, i.e., to adjacent parallel conductors, have and only a conductor is tested conductor, to every
Root tested conductor, every conductor is divided into some conductor segments using node as cut-point, and six Along ents for choosing conductor segment are survey
Point.Herein, tested conductor is respectively OA sections, CD sections, EF sections, OE sections, GH sections, the AF sections in Fig. 2, wherein, O point coordinates for (0,
0), A point coordinates is (7,0), and C point coordinates is (0,3.5), and D point coordinates is (7,3.5), and E point coordinates is (0,7), and F point coordinates is
(7,7), G point coordinates are (3.5,0), and H point coordinates is (3.5,7);
(3) according to the surface potential measured value of the measuring point, the earth's surface using least square method to the non-measuring point of tested conductor
Current potential is calculated, and then draws the surface potential distribution of grounding grids;Calculated entirely according to part earth's surface potential measurement value
Portion's surface potential distribution is available to be calculated as below method:
IA section conductors are divided into six parts by 3a., and wherein I point coordinates is (5.5,0), chooses each Along ent and IA section conductor
Two-end-point is potential measurement point, wherein the coordinate of each potential measurement point in the x-direction be respectively x=[5.5,5.75,6,6.25,
6.5,6.75,7], according to this 7 current potential measuring point coordinates and corresponding surface potential surface potential measured value f (x)=[5.682,
5.525,5.374,5.158,4.976,4.807,4.647], orthogonal polynomial { P is constructedL(x) }, its recurrence Relation is:
In formula, Pk(x) it is k order polynomials that leading coefficient is 1;ak,βkFor multinomial coefficient;
According to Pk(x) orthogonality draws ak,βkWith Pk(x) relational expression, its expression formula are:
The surface potential distribution curve being calculated to be observed to find, the surface potential of conductor segment is distributed approximate quadratic function,
Therefore, L=2 is taken herein.By ak,βkExpression formula substitute into { PL(x) stepping type }, progressively recursion obtain { PL(x) it is each in }
, and then the polynomial construction of complete pairwise-orthogonal;
3b. digital simulation curve coefficientsAnd progressivelyIt is added in matched curve function F (x), and then
Surface potential to the conductor segment is distributed, and described coefficient formulas and surface potential expression formula are:
Herein, F (x)=0.0723x2-1.5937x+12.26;
3c. calculates the distribution of its surface potential, and then be superimposed as stated above to each conductor segment of all tested conductors
To whole earth's surface Potential distributions;
(4) by the grounded screen surface potential of reality compared with the surface potential obtained by theoretical calculation under nominal situation,
To same earth conductor, nominal situation and the surface potential curve under actual condition are drawn respectively.If there is continuous survey in certain conductor
The surface potential of point increases or reduced simultaneously, then it is assumed that the surface potential distribution of the conductor changes, and filters out all earth's surfaces
The conductor segment that Potential distribution changes, observation conductor segment position:
If some of which conductor segment is interconnected to form certain area, then it is assumed that the region using these conductor segments as rectangular edges
Trouble point inside be present;If some of which conductor is not connected with other any conductors changed greatly, then it is assumed that ground above the conductor
The theoretical calculation or fitting result of table current potential are wrong, need to re-start calculating and fitting.More conductor measurement results simultaneously
Diagnostic mode can avoid indivedual measuring points calculate, fitting is inaccurate or measurement error caused by diagnosis erroneous judgement or fail to judge;
Herein, the conductor segment that surface potential changes is the AB conductor segments of (7,0)-(7,1.5) and the IA of coordinate (5.5,0)-(7,0)
Conductor segment, two conductor segments intersect, so that it is determined that fault zone is the ABJI rectangular areas shown in thick line in Fig. 2;
(5) fault zone is further tested, using power frequency parameter test instrument to all conductor segments in region
The surface potential of top measures.Due to position of failure point being determined, in a smaller area, therefore, to lead to all in region
Body section measures can be on the premise of workload not be dramatically increased, conductor where accurate judgement hot spot, so as to avoid judging by accident
Or fail to judge;
(6) the actual surface potential of all conductor segments and surface potential obtained by theoretical calculation in the fault zone;
Surface potential intensity of variation caused by the conductor of different extent of corrosions also differs, if the range of decrease under the surface potential of certain conductor segment
Degree is more than 5%, and the surface potential of other conductor segments slightly rises in region, then it is assumed that this section of conductor presence is more obvious
Corrosion failure, so as to complete to be accurately positioned to grounding net of transformer substation corrosion failure.
Fig. 5 show the surface potential calculated curve of the grounding grids section obtained in the present embodiment according to the above method with
Measuring and calculation curve, conductor segment AB surface potential have dropped 6.15% compared with nominal situation, conductor segment IJ, conductor segment IA and conductor
Section JB surface potential slightly rises, such as Fig. 5 (a), (c), (b), shown in (d), so as to judge that conductor AB sections corrode section, institute
It is consistent with Faults setting to obtain conclusion, demonstrates the accuracy of this method.
It should be noted that listed above is only specific embodiment of the invention, it is clear that is implemented the invention is not restricted to more than
Example, there is the similar change of many therewith.If those skilled in the art directly exports or joined from present disclosure
All deformations expected, all should belong to protection scope of the present invention.
Claims (6)
- A kind of 1. grounding net of transformer substation corrosion diagnosis method based on surface potential distribution, it is characterised in that comprise the following steps:Step 1, the theoretical earth's surface Potential distribution by grounding net of transformer substation under numerical computation method calculating nominal situation;Step 2, with AC signal generator power frequency exciting current is injected to grounding net of transformer substation, by power frequency parameter test instrument along connecing Measurement surface potential above earthed conductor, by the way of being chosen when choosing tested conductor using interval, i.e., to adjacent parallel conductors, have and Only a conductor is tested conductor, and to every tested conductor, every conductor is divided into some conductor segments using node as cut-point, And six Along ents for choosing conductor segment carry out surface potential measurement for measuring point;Step 3, the surface potential measured value according to the measuring point, the earth's surface electricity by least square method to the non-measuring point of tested conductor Position is calculated, and obtains the actual surface potential distribution of grounding net of transformer substation;Step 4, actual earth's surface Potential distribution and theoretical earth's surface Potential distribution, to same earth conductor, draw respectively normal Operating mode and the surface potential curve under actual condition, the conductor segment that all surface potential distributions change is filtered out, i.e., certain is led Body the surface potential of continuous measuring point be present while increase or reduction, then it is assumed that the surface potential distribution of the conductor changes, and enters And observe the conductor segment position:If some conductor segments are interconnected to form certain area, then it is assumed that using these conductor segments event in the region of rectangular edges to be present Hinder region;If the conductor big with other any changes is not connected some conductors, then it is assumed that the theoretical calculation of surface potential above the conductor Or the Fitting Calculation result is wrong, it is necessary to re-start calculating and fitting, return to step 3;Step 5, the fault zone is further tested:Using power frequency parameter test instrument to all conductors in fault zone Duan Shangfang surface potential measures;The actual surface potential of all conductor segments and theoretical calculation gained surface potential in step 6, the fault zone;No Also differed with the surface potential intensity of variation caused by the conductor of extent of corrosion, if the surface potential fall of certain conductor segment More than 5%, and the surface potential of other conductor segments slightly rises in region, then it is assumed that this section of conductor has obvious corrosion event Barrier.
- 2. the grounding net of transformer substation corrosion diagnosis method according to claim 1 based on surface potential distribution, its feature exist In described step 1 calculates the theoretical earth's surface Potential distribution of grounding net of transformer substation under nominal situation, tool by numerical computation method Body is:The grounded screen that interstitial content is m is divided into n section conductors by 2a., calculates the mutual resistance matrix R between this n section conductor, wherein, Matrix element RijThe mutual impedance between i sections conductor and j section conductors is represented, its calculation formula is:<mfenced open = "" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>R</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> </msub> <mo>=</mo> <mfrac> <mn>1</mn> <mrow> <mn>4</mn> <mi>&pi;</mi> <mrow> <mo>(</mo> <msub> <mi>&sigma;</mi> <mi>E</mi> </msub> <mo>+</mo> <msub> <mi>j&omega;&epsiv;</mi> <mi>E</mi> </msub> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>&CenterDot;</mo> <mfrac> <mn>1</mn> <mrow> <msub> <mi>l</mi> <mi>i</mi> </msub> <msub> <mi>l</mi> <mi>j</mi> </msub> </mrow> </mfrac> <mo>&lsqb;</mo> <munder> <mo>&Integral;</mo> <msub> <mi>l</mi> <mi>i</mi> </msub> </munder> <munder> <mo>&Integral;</mo> <msub> <mi>l</mi> <mi>j</mi> </msub> </munder> <mfrac> <mn>1</mn> <msub> <mi>D</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> </msub> </mfrac> <msub> <mi>dl</mi> <mi>i</mi> </msub> <msub> <mi>dl</mi> <mi>j</mi> </msub> <mo>+</mo> <mfrac> <mrow> <msub> <mi>&sigma;</mi> <mi>E</mi> </msub> <mo>+</mo> <msub> <mi>j&omega;&epsiv;</mi> <mn>0</mn> </msub> <mrow> <mo>(</mo> <msub> <mi>&epsiv;</mi> <mi>r</mi> </msub> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow> <mrow> <msub> <mi>&sigma;</mi> <mi>E</mi> </msub> <mo>+</mo> <msub> <mi>j&omega;&epsiv;</mi> <mn>0</mn> </msub> <mrow> <mo>(</mo> <msub> <mi>&epsiv;</mi> <mi>r</mi> </msub> <mo>+</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow> </mfrac> <munder> <mo>&Integral;</mo> <msub> <mi>l</mi> <msup> <mi>i</mi> <mo>&prime;</mo> </msup> </msub> </munder> <munder> <mo>&Integral;</mo> <msub> <mi>l</mi> <mi>j</mi> </msub> </munder> <mfrac> <mn>1</mn> <msub> <mi>D</mi> <mrow> <msup> <mi>i</mi> <mo>&prime;</mo> </msup> <mo>,</mo> <mi>j</mi> </mrow> </msub> </mfrac> <msub> <mi>dl</mi> <msup> <mi>i</mi> <mo>&prime;</mo> </msup> </msub> <msub> <mi>dl</mi> <mi>j</mi> </msub> <mo>&rsqb;</mo> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>...</mn> <mo>,</mo> <mi>n</mi> <mo>;</mo> <mi>j</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>...</mn> <mo>,</mo> <mi>n</mi> </mrow> </mtd> </mtr> </mtable> </mfenced>In formula, σEFor soil conductivity;ε0For permittivity of vacuum;εrFor soil relative dielectric constant;εE=ε0·εrFor soil Dielectric constant;liWith ljRespectively i-th section and jth section conductor length;li'For the image length of i-th section of conductor;Di,jFor i-th section The distance between jth section conductor;Di',jFor by the distance between i-th section of conductor mirror image and jth section conductor;2b. represents this n section conductor respectively with T-shaped equivalent circuit, i.e. the corresponding 1 T-shaped equivalent circuit of 1 section of conductor, described T-shaped etc. Imitate self-inductance L, self-resistance Z of the circuit by i-th section of conductor (i=1 ..., n)0, i-th section and jth section (j=1 ..., n) conductor it Between mutual inductance M, i-th section of conductor direct-to-ground capacitance C and conductance G is formed over the ground;After T-shaped circuit equivalent, the grounded screen shares m+n node and 2n section conductors;2c. calculates the incidence matrix A of each section of conductor of grounded screen after T-shaped equivalent circuit is equivalent, wherein, incidence matrix A row pair Interstitial content m+n that should be in grounded screen after T-shaped equivalent circuit is equivalent, incidence matrix A row correspond to it is T-shaped it is equivalent after branch road Arbitrary element a in number 2n, incidence matrix Ai,jDefinition be:2d. calculates the impedance matrix Z of the grounded screen after T-shaped equivalent circuit is equivalent with m+n node and 2n bar branch roads, formula It is as follows:<mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <msub> <mi>Z</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> </msub> <mo>=</mo> <mi>j</mi> <mi>&omega;</mi> <msub> <mi>M</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>Z</mi> <mn>0</mn> </msub> <mo>,</mo> <mi>i</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>...</mn> <mo>,</mo> <mn>2</mn> <mi>n</mi> <mo>;</mo> <mi>j</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>..</mn> <mo>,</mo> <mn>2</mn> <mi>n</mi> </mtd> </mtr> <mtr> <mtd> <mi>&omega;</mi> <mo>=</mo> <mn>2</mn> <mi>&pi;</mi> <mi>f</mi> </mtd> </mtr> <mtr> <mtd> <msub> <mi>M</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> </msub> <mo>=</mo> <mfrac> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> <mrow> <mn>4</mn> <mi>&pi;</mi> </mrow> </mfrac> <munder> <mo>&Integral;</mo> <msub> <mi>k</mi> <mi>i</mi> </msub> </munder> <munder> <mo>&Integral;</mo> <msub> <mi>k</mi> <mi>j</mi> </msub> </munder> <mfrac> <mn>1</mn> <msub> <mi>h</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> </msub> </mfrac> <mi>d</mi> <msub> <mi>k</mi> <mi>i</mi> </msub> <mi>d</mi> <msub> <mi>k</mi> <mi>j</mi> </msub> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>Z</mi> <mrow> <mn>0</mn> <mi>i</mi> </mrow> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>j&omega;&mu;I</mi> <mn>0</mn> </msub> <mrow> <mo>(</mo> <msub> <mi>&gamma;r</mi> <mn>0</mn> </msub> <mo>)</mo> </mrow> </mrow> <mrow> <mn>2</mn> <msub> <mi>&pi;r</mi> <mn>0</mn> </msub> <msub> <mi>&gamma;I</mi> <mn>1</mn> </msub> <mrow> <mo>(</mo> <msub> <mi>&gamma;r</mi> <mn>0</mn> </msub> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>&CenterDot;</mo> <msub> <mi>k</mi> <mi>i</mi> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced>In formula, Mi,jFor each branch road of grounded screen through it is T-shaped it is equivalent after mutual inductance matrix;kiFor through it is T-shaped it is equivalent after i-th section of conductor length (i =1 ..., 2n);hi,jFor the distance between i-th section of conductor and jth section conductor;Z0iFor the internal impedance of i-th section of conductor;μ0For soil Magnetic conductivity, and assume that soil is identical with air permeability;μ=μ0μrFor conductor magnetic conductivity;μrFor conductor Relative permeability;ρcFor conductor resistance rate;r0For conductor radius;I0(γr0)、I1(γr0) it is respectively zeroth order and single order Bezier Function;2e. is according to incidence matrix A and impedance matrix Z calculate node admittance matrixs Yn+m=AZ-1AT;Admittance matrix G=R is calculated according to mutual resistance impedance matrix R-1;2f. calculates the midpoint potential column vector of grounded screen n section conductors by solving the fundamental equation of grounded screen mathematical modelingWith Node potential column vectorThe fundamental equation of described grounded screen mathematical modeling is:In formula, G is n × n matrix;For n midpoint potential column vector;For m node potential column vector;For m node Injection Current column vector;2g. calculates the leakage current distribution of grounded screen n section conductors, and formula is as follows:Wherein, R is n × n mutual resistance matrix,For n dimensional vectors, For the electric leakage flow vector on i-th section of conductor,For n midpoint potential column vector;2h. uses principle of stacking to calculate the current potential on ground at any point according to the electric leakage flow distribution for the grounding grids tried to achieve, Potential calculation formula on ground at any point P is:<mrow> <msub> <mi>U</mi> <mrow> <mi>i</mi> <mi>P</mi> </mrow> </msub> <mo>=</mo> <mfrac> <mrow> <msubsup> <mi>&rho;I</mi> <mi>i</mi> <mrow> <mi>l</mi> <mi>e</mi> <mi>a</mi> <mi>k</mi> </mrow> </msubsup> </mrow> <mrow> <mn>4</mn> <mi>&pi;</mi> </mrow> </mfrac> <mo>&times;</mo> <mfrac> <mn>2</mn> <msqrt> <mrow> <msup> <msub> <mi>r</mi> <mi>p</mi> </msub> <mn>2</mn> </msup> <mo>+</mo> <msup> <msub> <mi>z</mi> <mi>p</mi> </msub> <mn>2</mn> </msup> </mrow> </msqrt> </mfrac> <mo>,</mo> <mi>i</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>...</mn> <mo>,</mo> <mi>n</mi> </mrow>In formula, UiPFor i-th section of conductor leakage current a p-shaped into surface potential;ρ is soil resistivity;rp,zpFor i-th section of conductor The polar coordinate representation of distance between midpoint and point P;To every section of conductor, the current potential that its leakage current is formed in each Ground Point of grounded screen, then the calculating by all conductors are calculated respectively As a result it is overlapped, so as to obtain the surface potential of grounded screen distribution result of calculation.
- 3. the grounding net of transformer substation corrosion diagnosis method according to claim 1 based on surface potential distribution, its feature exist In described step 3 calculates actual surface potential distribution, is specifically:3a. is to a certain conductor segment, according to the point position coordinate x=[x in conductor segment0,x1,…,x6] and corresponding measuring point earth's surface Potential measurement value f (x)=[f (x0),f(x1),…,f(x6)], construction orthogonal polynomial { PL(x) }, its recurrence Relation is:<mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>P</mi> <mn>0</mn> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mo>=</mo> <mn>1</mn> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>P</mi> <mn>1</mn> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mo>=</mo> <mrow> <mo>(</mo> <mi>x</mi> <mo>-</mo> <msub> <mi>&alpha;</mi> <mn>1</mn> </msub> <mo>)</mo> </mrow> <msub> <mi>P</mi> <mn>0</mn> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>P</mi> <mrow> <mi>k</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mo>=</mo> <mrow> <mo>(</mo> <mi>x</mi> <mo>-</mo> <msub> <mi>&alpha;</mi> <mrow> <mi>k</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> <mo>)</mo> </mrow> <msub> <mi>P</mi> <mi>k</mi> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mo>-</mo> <msub> <mi>&beta;</mi> <mi>k</mi> </msub> <msub> <mi>P</mi> <mrow> <mi>k</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mo>,</mo> <mrow> <mo>(</mo> <mi>k</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>...</mn> <mo>,</mo> <mi>L</mi> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> </mtable> </mfenced>In formula, Pk(x) it is k order polynomials that leading coefficient is 1;αk、βkFor multinomial coefficient;According to Pk(x) orthogonality draws αk、βkWith Pk(x) relational expression, its expression formula are:By αk、βk Expression formula substitute into { PL(x) stepping type }, progressively recursion obtain { PL(x) each single item in }, and then complete pairwise-orthogonal multinomial Construction;3b. digital simulation curve coefficientsAnd progressivelyIt is added in matched curve function F (x), and then is somebody's turn to do The surface potential distribution of conductor segment, described coefficient formulas and surface potential expression formula are:<mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msubsup> <mi>&alpha;</mi> <mi>k</mi> <mo>*</mo> </msubsup> <mo>=</mo> <mfrac> <mrow> <mo>(</mo> <mi>f</mi> <mo>,</mo> <msub> <mi>P</mi> <mi>k</mi> </msub> <mo>)</mo> </mrow> <mrow> <mo>(</mo> <msub> <mi>P</mi> <mi>k</mi> </msub> <mo>,</mo> <msub> <mi>P</mi> <mi>k</mi> </msub> <mo>)</mo> </mrow> </mfrac> <mo>=</mo> <mfrac> <mrow> <munderover> <mo>&Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>0</mn> </mrow> <mn>6</mn> </munderover> <mi>f</mi> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <msub> <mi>P</mi> <mi>k</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> </mrow> <mrow> <munderover> <mo>&Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>0</mn> </mrow> <mn>6</mn> </munderover> <msubsup> <mi>P</mi> <mi>k</mi> <mn>2</mn> </msubsup> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>,</mo> <mrow> <mo>(</mo> <mi>k</mi> <mo>=</mo> <mn>0</mn> <mo>,</mo> <mn>1</mn> <mo>,</mo> <mn>...</mn> <mo>,</mo> <mi>n</mi> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mi>y</mi> <mo>=</mo> <mi>F</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mo>=</mo> <msubsup> <mi>&alpha;</mi> <mn>0</mn> <mo>*</mo> </msubsup> <msub> <mi>P</mi> <mn>0</mn> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mo>+</mo> <msubsup> <mi>&alpha;</mi> <mn>1</mn> <mo>*</mo> </msubsup> <msub> <mi>P</mi> <mn>1</mn> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mo>+</mo> <mn>...</mn> <mo>+</mo> <msubsup> <mi>&alpha;</mi> <mi>L</mi> <mo>*</mo> </msubsup> <msub> <mi>P</mi> <mi>L</mi> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> </mtable> </mfenced>3c. calculates the distribution of its surface potential, and then be superimposed and obtain entirely as stated above to each conductor segment of all tested conductors Portion's surface potential distribution.
- 4. the grounding net of transformer substation corrosion diagnosis method according to claim 1 based on surface potential distribution, its feature exist In comparison of the described step 4 to surface potential compared with by the way of, to same earth conductor, is drawn normal respectively using curve ratio Operating mode and the surface potential curve under actual condition, judge whether the surface potential distribution of conductor changes, while relatively more The diagnostic mode of root conductor measurement result it also avoid the diagnosis caused by indivedual measuring points calculate inaccurate or measurement error Judge by accident or fail to judge.
- 5. a kind of grounding net of transformer substation corrosion diagnosis method based on surface potential distribution according to claim 1, it is special Sign is that surface potential of the described step 5 in fault zone above all conductor segments measures, can either validation region Hot spot, conductor where the enough accurate judgement hot spots of and can, so as to avoid judging by accident or fail to judge really inside be present.
- 6. a kind of grounding net of transformer substation corrosion diagnosis method based on surface potential distribution according to claim 1, it is special Sign is that further analysis of the described step 6 to fault zone inner wire section can be accurately positioned to corrosion sites, will Corrosion section conductor is accurately distinguished with normal reach conductor.
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CN105823933B (en) * | 2016-03-21 | 2018-09-18 | 南京信息职业技术学院 | A kind of infinitesimal for grounding net of transformer substation Corrosion monitoring divides detection method |
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