CN107843770A - A kind of distribution line position of the switch method to set up based on impedance variations rule - Google Patents
A kind of distribution line position of the switch method to set up based on impedance variations rule Download PDFInfo
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- CN107843770A CN107843770A CN201710926813.7A CN201710926813A CN107843770A CN 107843770 A CN107843770 A CN 107843770A CN 201710926813 A CN201710926813 A CN 201710926813A CN 107843770 A CN107843770 A CN 107843770A
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R27/00—Arrangements for measuring resistance, reactance, impedance, or electric characteristics derived therefrom
- G01R27/02—Measuring real or complex resistance, reactance, impedance, or other two-pole characteristics derived therefrom, e.g. time constant
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
- H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
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Abstract
A kind of distribution line position of the switch method to set up based on impedance variations rule, comprises the following steps：（1）Conductive paths and through track are selected according to distribution wire information；（2）Seek the changing rule for calculating through track and conductive paths along line impedence；（3）According to through track terminating impedance size, and the system impedance at 10kV buses, the impedance value at the number of switches that is set on circuit and setting is determined using criterion；（4）According to terminating wire situation, by a certain impedance transformation at switch setting into a certain electric pole number on circuit, and the impedance value at switch setting is updated.Method proposed by the present invention, set location is switched for distribution line, and science, effective method are provided, can be that distribution line design department carries out circuit design planning, O＆M maintenance department sets development is rational to verify and carry out transformation offer decision guidance to distribution line upper switch.
Description
Technical field
The present invention relates to a kind of distribution line position of the switch method to set up based on impedance variations rule, belongs to power matching network skill
Art field.
Background technology
Voltage levels power network lays particular emphasis on electrical energy transportation, realizes the point-to-point conveying of electric energy, therefore wiring is simple, structure list
One.And 10kV distribution lines are that T contacts are more, branch is extensive different from the characteristics of higher voltage level Grid, this is by distribution line
Based on user side, major function is distribution electric energy, realizes what the characteristics of electric energy distributes from point to surface was determined.Substantial amounts of branch
Wiring with complexity brings difficulty to the configuration of distribution network protection, up to the present, national standard, professional standard or company standard
The specification not provided for the position of the switch on distribution line, the distribution line position of the switch is caused to set in a kind of more mixed
Random state.
The setting of the distribution line position of the switch at this stage, is without a fixed pattern, and some are based on maintenance conveniently, ignore upstream and downstream
The protection cooperation of switch, installing with transformer station near；Some are using branch line as boundary, as long as branch line, then at top, installing is opened
Close；Some are installed according to user property, the branch line front end installation switch where private subscribers；Some because circuit is long,
Centre installs several switches additional；Some are switched to coordinate power distribution automation etc. according to equidistant principle, installing.These installing switches
Mode do not take into full account the validity of relaying configuration, the particularly processing to branch line is simpler.
The content of the invention
The object of the present invention is to for setting the problem of existing lack of standardization of the existing distribution line position of the switch, the present invention
It is proposed a kind of distribution line position of the switch method to set up based on impedance variations rule.
The technical scheme that the present invention realizes is as follows, a kind of distribution line position of the switch setting side based on impedance variations rule
Method, comprise the following steps：
(1) conductive paths and through track are selected according to distribution wire information；
(2) changing rule for calculating through track and conductive paths along line impedence is sought；
(3) according to through track terminating impedance size, and the system impedance at 10kV buses, determined using criterion on circuit
Impedance value at the number of switches of setting and setting；
(4) according to terminating wire situation, by a certain impedance transformation at switch setting into a certain electric pole number on circuit, and more
Impedance value at new switch setting.
The changing rule computation of the through track and conductive paths along line impedence is as follows：
(1) impedance value under maximum mode along each path is calculated and expressed, impedance variations along through track
The computation of rule, through track/path is segmented；
(2) impedance variations along through track/path are expressed using piecewise function；
(3) impedance meter under arbitrfary point minimum mode reaches.
It is described that segmentation method is carried out to through track, it is by through track T according to wire type and the mode of connectionmOr any path
It is divided into N sections, the principle of segmentation is that each section lead model is identical and spacing is identical between bar.If each section lead length is respectively L1,
L2,…,LN；The unit length impedance of each section lead is respectively z1=r1+jx1, z2=r2+jx2..., zN=rN+jxN。
Wherein ri(i=1,2 ...) is each section lead resistance per unit length, xi(i=1,2 ...) grown for each section lead unit
Spend reactance.
The piecewise function is expressed as：
It is 0≤l≤L in the range of the first section lead1When, apart from the impedance Z for the arbitrfary point that transformer station is l under maximum moded
For
Zd=rd+jxd+l(r1+jx1)=(rd+lr1)+j(xd+lx1)(0≤l≤L1)
Work as l=L1When, i.e. impedance under the maximum mode of first paragraph wire endFor：
It is L in the range of the second section lead1≤l≤L1+L2When, apart from the resistance for the arbitrfary point that transformer station is l under maximum mode
Anti- ZdFor
Work as l=L1+L2When, i.e. impedance under the maximum mode of second segment wire endFor：
Similarly, it is L in the range of N section leads1+…+LN-1≤l≤L1+…+LN-1+LNWhen, distance becomes under maximum mode
Power station is the impedance Z of l arbitrfary pointdFor：
Then work as l=L1+…+LNWhen, i.e. impedance under the maximum mode of N section leads endFor：
By above expression formula, the impedance value apart from the arbitrfary point that transformer station is l under maximum mode on wire is obtained.
Impedance expression under the arbitrfary point minimum mode is as follows：
System impedance z under the minimum mode at 10kV busesxFor：
zx=rx+jxx
In formula, rxFor system equivalent resistance under minimum mode；xxFor system equivalent reactance under minimum mode；
The then impedance value Z under arbitrfary point minimum modexCan be by the impedance value Z under the maximum modedTry to achieve, i.e.,
Zx=Zd-zd+zx=Zd+(rx-rd)+j(xx-xd)。
Impedance value method at the number of switches set on the determination circuit and setting is as follows：
Insertion On line switch setting principle be：Impedance at switch setting under maximum operational mode is opened not less than upper level
At pass 1.6 times of impedance under minimum mode；The maximum at the setting of the first order position of the switch on circuit through track, under minimum mode
Impedance be respectively ZK1d、ZK1x, the maximum at the setting of the second level position of the switch, the impedance under minimum mode are respectively ZK2d、ZK2x,
System impedance at 10kV buses under maximum, minimum mode is Zd、Zx, then it is ensured that impedance meets lower relation of plane：
Determine that switch set location method is as follows on through track：
(1) impedance under the maximum mode of through track endJudge whether following formula is set up,
In formula,For the mould of circuit terminating impedance under maximum mode, | zd| it is impedance at 10kV buses under maximum mode
Mould, λ is that 10kV buses are minimum, the ratio between system impedance mould under maximum mode, i.e.,：
IfSet up, then can set two-stage switch that through track is divided into three parts, the
Impedance Z at one-level switch under maximum modeK1dFor：
Impedance Z at the switch of the second level under maximum modeK2dFor：
(2) ifIt is invalid, then judge whether following formula is set up,
IfSet up, then can set one-level switch that circuit is divided into two sections, what is set on circuit opens
Impedance Z at pass under maximum modeKdFor：
ZKd=1.6 λ zd
(3) ifIt is invalid, then switch should not be set on the circuit；
Other path upper switch position methods to set up are as follows：
The setting of the position of the switch is with through track TmOn switch be arranged to standard, switch on other paths is set with reference to it
It is configured；Switch is first configured to through track, it is determined that the impedance set at sum of series switch setting is switched, on through track
Switch set and determine after, set and open with one-level with the impedance identical place at insertion On line switch setting on other paths
Close, for shorter path, if impedance can not be set more than 0.85 times of the terminating impedance of the path at certain grade of switch setting
Put this grade switch.
A certain impedance transformation is as follows into the method for a certain electric pole number on circuit at the switch setting：
(1) segment limit corresponding to impedance on through track/path at the position of the switch is determined
If it is Z according to certain switch correct position is calculated to be in impedance value under maximum modeKd, first by the mould of the impedance
|ZKd| compared with the impedance value of change along distribution line path, determine the wire hop count where its impedance；The side of comparison
Method is to incite somebody to action | ZKd| since the 1st section of circuit, one by one with the mould of the terminating impedance of each section of circuitCompare；
IfThat is switch correct position is more than certain path terminating impedance0.85 times, explanation is matched somebody with somebody
This grade should not be set to switch on the path of netting twine road, therefore this grade switch can be not provided with the path；
IfThen illustrate the correct position of switch in the 1st section of line range；IfThen after
It is continuous to compare | ZKd| with
IfIllustrate to switch correct position in the 2nd section of line range；Otherwise continue to compare | ZKd| withThe like, untilCorrect position is then switched in K (1≤K≤N) section line range；
(2) electric pole number where determining switch, electric pole computation are as follows
Assuming that correct position is switched in K (1≤K≤N) section line range, i.e.,Begin at this with K sections
Length between end is lK, and K section line poles number is G, length is Δ l between bar, and unit length impedance is zK=rK+jxK,
Then have,
I.e.：
After the modulus of both sides square, i.e.,：
Therefore try to achieve：
The length is computational length, not necessarily correspond to electric pole position；Need to be adjusted：
First by lKDivided by Δ l, obtain ratio GK0, i.e.,：
Ratio GK0If integer, then the value is electric pole number；If not integer, then the smallest positive integral bigger than the value is taken
As electric pole number；Electric pole G where thus having tried to achieve switchK, i.e.,：
GK=[GK0]+1
In formula, [GK0] it is GK0Bracket function；
(3) impedance value at the setting of renewal switch
Electric pole GKImpedance under the maximum mode at place is referred to as impedance Z at switchKK, the impedance value is：
The invention has the advantages that the present invention determines conductive paths and through track, Ran Houqiu according to distribution wire information
The changing rule of through track and conductive paths along line impedence is calculated, further according to through track terminating impedance size, and at 10kV buses
System impedance, the impedance value at the number of switches that is set on circuit and setting is determined using criterion, finally according to terminating wire
Situation, impedance value at switch setting is changed into electric pole number, and update the impedance value at switch setting.Side proposed by the present invention
Method, switch set location for distribution line and science, effective method are provided, can be that distribution line design department carries out circuit design
Planning, O＆M maintenance department set development is rational to verify and carry out transformation offer decision guidance to distribution line upper switch.
This method can utilize software to realize automatic calculating and output result, realize the automatic quick meter of the switchgear distribution of a large amount of circuits
Calculate.
Brief description of the drawings
Fig. 1 is the distribution line position of the switch method to set up block diagram of the invention based on impedance variations rule；
Fig. 2 is that distribution wire penetrates line options schematic diagram.
Embodiment
The embodiment of the present invention is as shown in Figure 1.
A kind of distribution line position of the switch method to set up based on impedance variations rule of the present embodiment includes following four master
Want step：
(1) conductive paths and through track are selected according to distribution wire information；
(2) changing rule for calculating through track and conductive paths along line impedence is sought；
(3) according to through track terminating impedance size, and the system impedance at 10kV buses, determined using criterion on circuit
Impedance value at the number of switches of setting and setting；
(4) according to terminating wire situation, impedance value at switch setting is changed into electric pole number, and update at switch setting
Impedance value.
Conductive paths and through track are selected according to distribution wire information：
The present invention selects path of the distribution line from transformer station to end, under a certain method of operation, distribution line first
There are many branch lines, therefore there is many its end, the path from transformer station to end just has many bars.
It is to find out larger branch line first that the present embodiment, which selects the method for most long path, and more each branch line end is with becoming
The distance between power station, it can be determined according to the electric pole sum between end and transformer station, the more persons of electric pole number are most long path；Such as
The a plurality of path-length of fruit is similar, then with the average line footpath minimum of the wire of process for most long path.The most long path conduct of selection
The circuit through track, is designated as Tm.Fig. 2 is the through track schematic diagram of a distribution line.
The present embodiment selects the method for other important paths to be, for the longer path of length, all each one end of freedom
It is determined that the system of selection of these important paths is, from transformer station, along wire terminad convergence, by way of all circuit structures
Into the path, T is designated as respectivelyi(i=1,2 ...).
Seek the changing rule for calculating through track and conductive paths along line impedence：
The present embodiment is calculated and expressed to the impedance value under maximum mode along each path, through track along line impedence
The computation of changing rule is as follows：
(1) through track (path) is segmented
According to wire type and the mode of connection by through track TmOr any path is divided into N sections, the principle of segmentation is each section and led
Line style number is identical and bar between spacing it is identical.If each section lead length is respectively L1,L2,…,LN；The unit length resistance of each section lead
Anti- is respectively z1=r1+jx1, z2=r2+jx2..., zN=rN+jxN。
Wherein ri(i=1,2 ...) is each section lead resistance per unit length, xi(i=1,2 ...) grown for each section lead unit
Spend reactance.
(2) impedance variations along through track (path) are expressed using piecewise function
Assuming that the system impedance z under maximum mode at 10kV busesdFor：
zd=rd+jxd
In formula, rdFor system equivalent resistance under maximum mode；xdFor system equivalent reactance under maximum mode.
To through track TmUpper impedance variations rule is described with the relational expression of line impedance under maximum mode and length.Can
Try to achieve under maximum mode apart from the impedance Z for the arbitrfary point that transformer station is ldChange along the line, segmentation represents, as described below：
It is 0≤l≤L in the range of the first section lead1When, apart from the impedance Z for the arbitrfary point that transformer station is l under maximum moded
For：
Zd=rd+jxd+l(r1+jx1)=(rd+lr1)+j(xd+lx1)(0≤l≤L1)
Work as l=L1When, i.e. impedance under the maximum mode of first paragraph wire endFor：
It is L in the range of the second section lead1≤l≤L1+L2When, apart from the resistance for the arbitrfary point that transformer station is l under maximum mode
Anti- ZdFor：
Work as l=L1+L2When, i.e. impedance under the maximum mode of second segment wire endFor：
As a same reason, it is L in the range of N section leads1+…+LN-1≤l≤L1+…+LN-1+LNWhen, under maximum mode away from
From the impedance Z for the arbitrfary point that transformer station is ldFor：
(L1+…+LN-1≤l≤L1+…+LN-1+LN) then work as l=L1
+…+LNWhen, i.e. impedance under the maximum mode of N section leads endFor：
Above expression formula, it can obtain on wire apart from the impedance value under maximum mode for the arbitrfary point that transformer station is l.
(3) impedance meter under arbitrfary point minimum mode reaches
If the system impedance z under minimum mode at 10kV busesxFor：
zx=rx+jxx
In formula, rxFor system equivalent resistance under minimum mode；xxFor system equivalent reactance under minimum mode.
The then impedance value Z under arbitrfary point minimum modexCan be by the impedance value Z under the maximum modedTry to achieve, i.e.,
Zx=Zd-zd+zx=Zd+(rx-rd)+j(xx-xd)
Determine the impedance value at the number of switches that is set on circuit and setting：
(1) On line switch position setting principle is penetrated
The present embodiment at most sets two-stage in insertion On line switch, is referred to as first order switch, second level switch, each
Level may have multiple switch, equal with the impedance magnitude at one-level switch with one-level switch on different paths.
Penetrating the setting principle of On line switch is：Impedance at switch setting under maximum operational mode is opened not less than upper level
At pass 1.6 times of impedance under minimum mode.If the maximum at the setting of the first order position of the switch, minimum mode on circuit through track
Under impedance be respectively ZK1d、ZK1x, the maximum at the setting of the second level position of the switch, the impedance under minimum mode are respectively ZK2d、
ZK2x, the system impedance at 10kV buses under maximum, minimum mode is Zd、Zx, then it is ensured that impedance meets lower relation of plane：
(2) the present embodiment determines switch set location with following modular method
1) impedance under the maximum mode of through track endJudge whether following formula is set up
In formula,For the mould of circuit terminating impedance under maximum mode, | zd| it is impedance at 10kV buses under maximum mode
Mould, λ is that 10kV buses are minimum, the ratio between system impedance mould under maximum mode, i.e.,：
If formula (1) is set up, it can set two-stage switch that through track is divided into three parts, it is most generous at first order switch
Impedance Z under formulaK1dFor：
Impedance Z at the switch of the second level under maximum modeK2dFor：
2) if formula (1) is invalid, judge whether following formula is set up,
Respectively measured in formula (2) as defined above.If formula (2) is set up, it can set one-level switch that circuit is divided into two sections, line
Impedance Z at the switch set on road under maximum modeKdFor：
ZKd=1.6 λ zd
3) if formula (2) is invalid, switch should not be set on the circuit.
(3) other path upper switch position methods to set up
The setting of the position of the switch is with through track TmOn switch be arranged to standard, switch on other paths is set with reference to it
It is configured.Switch is first configured to through track, it is determined that the impedance set at sum of series switch setting is switched, on through track
Switch set and determine after, set and open with one-level with the impedance identical place at insertion On line switch setting on other paths
Close, for shorter path, if impedance can not be set more than 0.85 times of the terminating impedance of the path at certain grade of switch setting
Put this grade switch.
Impedance value changes into electric pole number at switch setting, and renewal switchs the impedance value at setting：
Because the distribution line position of the switch is mounted on electric pole, lead location is defined by electric pole in practical application.Electric pole
Be series of discrete numerical value apart from transformer station's length, and impedance value be consecutive variations numerical value, distance corresponding to a certain impedance value
It is not necessarily electric pole position, it is therefore desirable to which electric pole should be converted into corresponding immediate electric pole number for a certain impedance.A certain impedance
A certain electric pole number on circuit is converted into, its method is as follows：
(1) segment limit corresponding to impedance on through track/path at the position of the switch is determined
If it is Z according to certain switch correct position is calculated to be in impedance value under maximum modeKd, first by the mould of the impedance
|ZKd| compared with the impedance value of change along distribution line path, determine the wire hop count where its impedance.The side of comparison
Method is to incite somebody to action | ZKd| since the 1st section of circuit, one by one with the mould of the terminating impedance of each section of circuitCompare.
IfThat is switch correct position is more than certain path terminating impedance0.85 times, explanation is matched somebody with somebody
This grade should not be set to switch on the path of netting twine road, therefore this grade switch can be not provided with the path.
IfThen illustrate the correct position of switch in the 1st section of line range；IfThen after
It is continuous to compare | ZKd| with
IfIllustrate to switch correct position in the 2nd section of line range；Otherwise continue to compare | ZKd| withThe like, untilCorrect position is then switched in K (1≤K≤N) section line range.
(2) electric pole number where determining switch, electric pole computation are as follows：
Assuming that correct position is switched in K (1≤K≤N) section line range, i.e.,Begin at this with K sections
Length between end is lK, and K section line poles number is G, length is Δ l between bar, and unit length impedance is zK=rK+jxK,
Then have：
I.e.：
After the modulus of both sides square, i.e.,
Therefore try to achieve:
The length is computational length, not necessarily correspond to electric pole position.Need to carry out following adjust for this：
First by lKDivided by Δ l, obtain ratio GK0, i.e.,：
Ratio GK0If integer, then the value is electric pole number；If not integer, then the smallest positive integral bigger than the value is taken
As electric pole number.Electric pole G where thus having tried to achieve switchK, i.e.,：
GK=[GK0]+1
In formula, [GK0] it is GK0Bracket function.
(3) impedance value at the setting of renewal switch
Electric pole GKImpedance under the maximum mode at place is referred to as impedance Z at switchKK, the impedance value is：
In above-mentioned formula,For impedance value under K-1 section line end maximum modes；ZKFor switching theorem correct position
Locate impedance value under maximum mode；For impedance value under the 1st section of line end maximum mode；For the 2nd section of line end maximum
Impedance value under mode；For resistance under K-1 section line end maximum modes；rKTo be most generous at switching theorem correct position
Resistance under formula；For reactance under K-1 section line end maximum modes.
Claims (7)
1. a kind of distribution line position of the switch method to set up based on impedance variations rule, it is characterised in that methods described includes
Following steps：
(1) conductive paths and through track are selected according to distribution wire information；
(2) changing rule for calculating through track and conductive paths along line impedence is sought；
(3) according to through track terminating impedance size, and the system impedance at 10kV buses, determine to set on circuit using criterion
Number of switches and setting at impedance value；
(4) according to terminating wire situation, by a certain impedance transformation at switch setting into a certain electric pole number on circuit, and update and open
Close the impedance value at setting.
2. a kind of distribution line position of the switch method to set up based on impedance variations rule according to claim 1, it is special
Sign is that the changing rule computation of the through track and conductive paths along line impedence is as follows：
(1) impedance value under maximum mode along each path is calculated and expressed, impedance variations rule along through track
Computation, through track/path is segmented；
(2) impedance variations along through track/path are expressed using piecewise function；
(3) impedance meter under arbitrfary point minimum mode reaches.
3. a kind of distribution line position of the switch method to set up based on impedance variations rule according to claim 2, it is special
Sign is, described to carry out segmentation method to through track, is by through track T according to wire type and the mode of connectionmOr any path
For N sections, the principle of segmentation is that each section lead model is identical and spacing is identical between bar.If each section lead length is respectively L1, L2...,
LN；The unit length impedance of each section lead is respectively z1=r1+jx1, z2=r2+jx2..., zN=rN+jxN。
Wherein ri(i=1,2 ...) is each section lead resistance per unit length, xi(i=1,2 ...) is each section lead unit length electricity
It is anti-.
4. a kind of distribution line position of the switch method to set up based on impedance variations rule according to claim 2, it is special
Sign is that the piecewise function is expressed as：
It is 0≤l≤L in the range of the first section lead1When, apart from the impedance Z for the arbitrfary point that transformer station is l under maximum modedFor
Zd=rd+jxd+l(r1+jx1)=(rd+lr1)+j(xd+lx1)(0≤l≤L1)
Work as l=L1When, i.e. impedance under the maximum mode of first paragraph wire endFor：
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</msub>
<mo>+</mo>
<msub>
<mi>jx</mi>
<mn>2</mn>
</msub>
<mo>)</mo>
</mrow>
</mrow>
Similarly, it is L in the range of N section leads1+…+LN-1≤l≤L1+…+LN-1+LNWhen, apart from transformer station under maximum mode
For the impedance Z of l arbitrfary pointdFor：
(L1+…+LN-1≤l≤L1+…+LN-1+LN) then work as l=L1+…+
LNWhen, i.e. impedance under the maximum mode of N section leads endFor：
<mrow>
<msub>
<mi>Z</mi>
<mrow>
<msub>
<mi>dL</mi>
<mi>N</mi>
</msub>
</mrow>
</msub>
<mo>=</mo>
<msub>
<mi>Z</mi>
<mrow>
<msub>
<mi>dL</mi>
<mrow>
<mi>N</mi>
<mo>-</mo>
<mn>1</mn>
</mrow>
</msub>
</mrow>
</msub>
<mo>+</mo>
<msub>
<mi>L</mi>
<mi>N</mi>
</msub>
<mrow>
<mo>(</mo>
<msub>
<mi>r</mi>
<mi>N</mi>
</msub>
<mo>+</mo>
<msub>
<mi>jx</mi>
<mi>N</mi>
</msub>
<mo>)</mo>
</mrow>
</mrow>
By above expression formula, the impedance value apart from the arbitrfary point that transformer station is l under maximum mode on wire is obtained.
5. a kind of distribution line position of the switch method to set up based on impedance variations rule according to claim 2, it is special
Sign is that the impedance expression under the arbitrfary point minimum mode is as follows：
System impedance z under the minimum mode at 10kV busesxFor：
zx=rx+jxx
In formula, rxFor system equivalent resistance under minimum mode；xxFor system equivalent reactance under minimum mode；
The then impedance value Z under arbitrfary point minimum modexCan be by the impedance value Z under the maximum modedTry to achieve, i.e. Zx=Zd-zd+zx
=Zd+(rx-rd)+j(xx-xd)。
6. a kind of distribution line position of the switch method to set up based on impedance variations rule according to claim 1, it is special
Sign is that the impedance value method at the number of switches for determining to set on circuit and setting is as follows：
Insertion On line switch setting principle be：The impedance at setting under maximum operational mode is switched not less than at upper level switch
1.6 times of impedance under minimum mode；The maximum at the setting of the first order position of the switch on circuit through track, the resistance under minimum mode
Anti- is respectively ZK1d、ZK1x, the maximum at the setting of the second level position of the switch, the impedance under minimum mode are respectively ZK2d、ZK2x, 10kV
System impedance under maximum at bus, minimum mode is Zd、Zx, then it is ensured that impedance meets lower relation of plane：
<mrow>
<mfenced open = "{" close = "">
<mtable>
<mtr>
<mtd>
<mrow>
<mo>|</mo>
<msub>
<mi>Z</mi>
<mrow>
<mi>K</mi>
<mn>1</mn>
<mi>d</mi>
</mrow>
</msub>
<mo>|</mo>
<mo>&GreaterEqual;</mo>
<mn>1.6</mn>
<mo>|</mo>
<msub>
<mi>Z</mi>
<mi>x</mi>
</msub>
<mo>|</mo>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<mo>|</mo>
<msub>
<mi>Z</mi>
<mrow>
<mi>K</mi>
<mn>2</mn>
<mi>d</mi>
</mrow>
</msub>
<mo>|</mo>
<mo>&GreaterEqual;</mo>
<mn>1.6</mn>
<mo>|</mo>
<msub>
<mi>Z</mi>
<mrow>
<mi>K</mi>
<mn>1</mn>
<mi>x</mi>
</mrow>
</msub>
<mo>|</mo>
</mrow>
</mtd>
</mtr>
</mtable>
</mfenced>
<mo>;</mo>
</mrow>
Determine that switch set location method is as follows on through track：
(1) impedance under the maximum mode of through track endJudge whether following formula is set up,
<mrow>
<mo>|</mo>
<msub>
<mi>Z</mi>
<mrow>
<msub>
<mi>dL</mi>
<mi>N</mi>
</msub>
</mrow>
</msub>
<mo>|</mo>
<mo>&GreaterEqual;</mo>
<mrow>
<mo>(</mo>
<mn>2.5</mn>
<mi>&lambda;</mi>
<mo>+</mo>
<mn>0.75</mn>
<mo>)</mo>
</mrow>
<mo>|</mo>
<msub>
<mi>z</mi>
<mi>d</mi>
</msub>
<mo>|</mo>
<mo>;</mo>
</mrow>
In formula,For the mould of circuit terminating impedance under maximum mode, | zd| it is the mould of impedance at 10kV buses under maximum mode,
λ is the ratio between system impedance mould under 10kV buses minimum, maximum mode, i.e.,：
<mrow>
<mi>&lambda;</mi>
<mo>=</mo>
<mfrac>
<mrow>
<mo>|</mo>
<msub>
<mi>z</mi>
<mi>x</mi>
</msub>
<mo>|</mo>
</mrow>
<mrow>
<mo>|</mo>
<msub>
<mi>z</mi>
<mi>d</mi>
</msub>
<mo>|</mo>
</mrow>
</mfrac>
<mo>;</mo>
</mrow>
IfSet up, then can set two-stage switch that through track is divided into three parts, the first order is opened
Impedance Z at pass under maximum modeK1dFor：
<mrow>
<msub>
<mi>Z</mi>
<mrow>
<mi>K</mi>
<mn>1</mn>
<mi>d</mi>
</mrow>
</msub>
<mo>=</mo>
<mn>0.5</mn>
<msub>
<mi>Z</mi>
<mrow>
<msub>
<mi>dL</mi>
<mi>N</mi>
</msub>
</mrow>
</msub>
<mo>+</mo>
<mrow>
<mo>(</mo>
<mn>0.35</mn>
<mi>&lambda;</mi>
<mo>-</mo>
<mn>0.375</mn>
<mo>)</mo>
</mrow>
<msub>
<mi>z</mi>
<mi>d</mi>
</msub>
</mrow>
Impedance Z at the switch of the second level under maximum modeK2dFor：
<mrow>
<msub>
<mi>Z</mi>
<mrow>
<mi>K</mi>
<mn>2</mn>
<mi>d</mi>
</mrow>
</msub>
<mo>=</mo>
<mn>0.8</mn>
<msub>
<mi>Z</mi>
<mrow>
<msub>
<mi>dL</mi>
<mi>N</mi>
</msub>
</mrow>
</msub>
<mo>+</mo>
<mrow>
<mo>(</mo>
<mn>2.16</mn>
<mi>&lambda;</mi>
<mo>-</mo>
<mn>2.2</mn>
<mo>)</mo>
</mrow>
<msub>
<mi>z</mi>
<mi>d</mi>
</msub>
</mrow>
(2) ifIt is invalid, then judge whether following formula is set up,
<mrow>
<mo>|</mo>
<msub>
<mi>Z</mi>
<mrow>
<msub>
<mi>dL</mi>
<mi>N</mi>
</msub>
</mrow>
</msub>
<mo>|</mo>
<mo>&GreaterEqual;</mo>
<mn>1.8</mn>
<mi>&lambda;</mi>
<mo>|</mo>
<msub>
<mi>z</mi>
<mi>d</mi>
</msub>
<mo>|</mo>
<mo>;</mo>
</mrow>
IfSet up, then can set one-level switch that circuit is divided into two sections, at the switch set on circuit
Impedance Z under maximum modeKdFor：
ZKd=1.6 λ zd
(3) ifIt is invalid, then switch should not be set on the circuit；
Other path upper switch position methods to set up are as follows：
The setting of the position of the switch is with through track TmOn switch be arranged to standard, switch on other paths is set with reference to its progress
Set；Switch is first configured to through track, it is determined that the impedance set at sum of series switch setting is switched, opening on through track
Close after determination is set, switched on other paths with local set of impedance identical at insertion On line switch setting with one-level,
For shorter path, if impedance can be not provided with more than 0.85 times of the terminating impedance of the path at certain grade of switch setting
The level switchs.
7. a kind of distribution line position of the switch method to set up based on impedance variations rule according to claim 1, it is special
Sign is that a certain impedance transformation is as follows into the method for a certain electric pole number on circuit at the switch setting：
(1) segment limit corresponding to impedance on through track/path at the position of the switch is determined
If it is Z according to certain switch correct position is calculated to be in impedance value under maximum modeKd, first by the mould of the impedance | ZKd|
Compared with the impedance value of change along distribution line path, the wire hop count where its impedance is determined；Comparative approach is,
Will | ZKd| since the 1st section of circuit, one by one with the mould of the terminating impedance of each section of circuitCompare；
IfThat is switch correct position is more than certain path terminating impedance0.85 times, illustrate to match somebody with somebody netting twine
This grade should not be set to switch on the path of road, therefore this grade switch can be not provided with the path；
IfThen illustrate the correct position of switch in the 1st section of line range；IfThen continue to compare
|ZKd| with
IfIllustrate to switch correct position in the 2nd section of line range；Otherwise continue to compare | ZKd| withAccording to
It is secondary to analogize, untilCorrect position is then switched in K (1≤K≤N) section line range；
(2) electric pole number where determining switch, electric pole computation are as follows
Assuming that correct position is switched in K (1≤K≤N) section line range, i.e.,At this with K sections top it
Between length be lK, and K section line poles number is G, length is Δ l between bar, and unit length impedance is zK=rK+jxK, then have,
<mrow>
<msub>
<mi>Z</mi>
<mrow>
<msub>
<mi>dL</mi>
<mrow>
<mi>K</mi>
<mo>-</mo>
<mn>1</mn>
</mrow>
</msub>
</mrow>
</msub>
<mo>+</mo>
<msub>
<mi>l</mi>
<mi>K</mi>
</msub>
<msub>
<mi>z</mi>
<mi>K</mi>
</msub>
<mo>=</mo>
<msub>
<mi>Z</mi>
<mi>K</mi>
</msub>
<mo>;</mo>
</mrow>
I.e.：
<mrow>
<msub>
<mi>r</mi>
<mrow>
<msub>
<mi>dL</mi>
<mrow>
<mi>K</mi>
<mo>-</mo>
<mn>1</mn>
</mrow>
</msub>
</mrow>
</msub>
<mo>+</mo>
<msub>
<mi>jx</mi>
<mrow>
<msub>
<mi>dL</mi>
<mrow>
<mi>K</mi>
<mo>-</mo>
<mn>1</mn>
</mrow>
</msub>
</mrow>
</msub>
<mo>+</mo>
<msub>
<mi>l</mi>
<mi>K</mi>
</msub>
<mrow>
<mo>(</mo>
<msub>
<mi>r</mi>
<mi>K</mi>
</msub>
<mo>+</mo>
<msub>
<mi>jx</mi>
<mi>K</mi>
</msub>
<mo>)</mo>
</mrow>
<mo>=</mo>
<msub>
<mi>Z</mi>
<mi>K</mi>
</msub>
<mo>;</mo>
</mrow>
After the modulus of both sides square, i.e.,：
<mrow>
<msup>
<mrow>
<mo>(</mo>
<msub>
<mi>r</mi>
<mrow>
<msub>
<mi>dL</mi>
<mrow>
<mi>K</mi>
<mo>-</mo>
<mn>1</mn>
</mrow>
</msub>
</mrow>
</msub>
<mo>+</mo>
<msub>
<mi>l</mi>
<mi>K</mi>
</msub>
<msub>
<mi>r</mi>
<mi>K</mi>
</msub>
<mo>)</mo>
</mrow>
<mn>2</mn>
</msup>
<mo>+</mo>
<msup>
<mrow>
<mo>(</mo>
<msub>
<mi>l</mi>
<mi>K</mi>
</msub>
<msub>
<mi>x</mi>
<mi>K</mi>
</msub>
<mo>+</mo>
<msub>
<mi>x</mi>
<mrow>
<msub>
<mi>dL</mi>
<mrow>
<mi>K</mi>
<mo>-</mo>
<mn>1</mn>
</mrow>
</msub>
</mrow>
</msub>
<mo>)</mo>
</mrow>
<mn>2</mn>
</msup>
<mo>=</mo>
<mo>|</mo>
<msub>
<mi>Z</mi>
<mi>K</mi>
</msub>
<msup>
<mo>|</mo>
<mn>2</mn>
</msup>
<mo>;</mo>
</mrow>
Therefore try to achieve：
<mrow>
<msub>
<mi>l</mi>
<mi>K</mi>
</msub>
<mo>=</mo>
<mfrac>
<mrow>
<msqrt>
<mrow>
<msup>
<mrow>
<mo>(</mo>
<msub>
<mi>r</mi>
<mi>K</mi>
</msub>
<msub>
<mi>r</mi>
<mrow>
<msub>
<mi>dL</mi>
<mrow>
<mi>K</mi>
<mo>-</mo>
<mn>1</mn>
</mrow>
</msub>
</mrow>
</msub>
<mo>+</mo>
<msub>
<mi>x</mi>
<mi>K</mi>
</msub>
<msub>
<mi>x</mi>
<mrow>
<msub>
<mi>dL</mi>
<mrow>
<mi>K</mi>
<mo>-</mo>
<mn>1</mn>
</mrow>
</msub>
</mrow>
</msub>
<mo>)</mo>
</mrow>
<mn>2</mn>
</msup>
<mo>+</mo>
<mrow>
<mo>(</mo>
<msup>
<msub>
<mi>r</mi>
<mi>K</mi>
</msub>
<mn>2</mn>
</msup>
<mo>+</mo>
<msup>
<msub>
<mi>x</mi>
<mi>K</mi>
</msub>
<mn>2</mn>
</msup>
<mo>)</mo>
</mrow>
<mo>&lsqb;</mo>
<mo>|</mo>
<msub>
<mi>Z</mi>
<mi>K</mi>
</msub>
<msup>
<mo>|</mo>
<mn>2</mn>
</msup>
<mo>-</mo>
<mrow>
<mo>(</mo>
<msup>
<msub>
<mi>r</mi>
<mrow>
<msub>
<mi>dL</mi>
<mrow>
<mi>K</mi>
<mo>-</mo>
<mn>1</mn>
</mrow>
</msub>
</mrow>
</msub>
<mn>2</mn>
</msup>
<mo>+</mo>
<msup>
<msub>
<mi>x</mi>
<mrow>
<msub>
<mi>dL</mi>
<mrow>
<mi>K</mi>
<mo>-</mo>
<mn>1</mn>
</mrow>
</msub>
</mrow>
</msub>
<mn>2</mn>
</msup>
<mo>)</mo>
</mrow>
<mo>&rsqb;</mo>
</mrow>
</msqrt>
<mo>-</mo>
<mrow>
<mo>(</mo>
<msub>
<mi>r</mi>
<mi>K</mi>
</msub>
<msub>
<mi>r</mi>
<mrow>
<msub>
<mi>dL</mi>
<mrow>
<mi>K</mi>
<mo>-</mo>
<mn>1</mn>
</mrow>
</msub>
</mrow>
</msub>
<mo>+</mo>
<msub>
<mi>x</mi>
<mi>K</mi>
</msub>
<msub>
<mi>x</mi>
<mrow>
<msub>
<mi>dL</mi>
<mrow>
<mi>K</mi>
<mo>-</mo>
<mn>1</mn>
</mrow>
</msub>
</mrow>
</msub>
<mo>)</mo>
</mrow>
</mrow>
<mrow>
<msup>
<msub>
<mi>r</mi>
<mi>K</mi>
</msub>
<mn>2</mn>
</msup>
<mo>+</mo>
<msup>
<msub>
<mi>x</mi>
<mi>K</mi>
</msub>
<mn>2</mn>
</msup>
</mrow>
</mfrac>
</mrow>
The length is computational length, not necessarily correspond to electric pole position；Need to be adjusted：
First by lKDivided by Δ l, obtain ratio GK0, i.e.,：
<mrow>
<msub>
<mi>G</mi>
<mrow>
<mi>K</mi>
<mn>0</mn>
</mrow>
</msub>
<mo>=</mo>
<mfrac>
<msub>
<mi>l</mi>
<mi>K</mi>
</msub>
<mrow>
<mi>&Delta;</mi>
<mi>l</mi>
</mrow>
</mfrac>
</mrow>
Ratio GK0If integer, then the value is electric pole number；If not integer, then the smallest positive integral conduct bigger than the value is taken
Electric pole number；Electric pole G where thus having tried to achieve switchK, i.e.,：
GK=[GK0]+1
In formula, [GK0] it is GK0Bracket function；
(3) impedance value at the setting of renewal switch
Electric pole GKImpedance under the maximum mode at place is referred to as impedance Z at switchKK, the impedance value is：
<mrow>
<msub>
<mi>Z</mi>
<mrow>
<mi>K</mi>
<mi>K</mi>
</mrow>
</msub>
<mo>=</mo>
<msub>
<mi>Z</mi>
<mrow>
<msub>
<mi>dL</mi>
<mrow>
<mi>K</mi>
<mo>-</mo>
<mn>1</mn>
</mrow>
</msub>
</mrow>
</msub>
<mo>+</mo>
<msub>
<mi>&Delta;lG</mi>
<mi>K</mi>
</msub>
<mrow>
<mo>(</mo>
<msub>
<mi>r</mi>
<mi>K</mi>
</msub>
<mo>+</mo>
<msub>
<mi>jx</mi>
<mi>K</mi>
</msub>
<mo>)</mo>
</mrow>
<mo>;</mo>
</mrow>
In above-mentioned formula,For impedance value under K-1 section line end maximum modes；ZKFor at switching theorem correct position most
Impedance value under big mode；For impedance value under the 1st section of line end maximum mode；For the 2nd section of line end maximum mode
Lower impedance value；For resistance under K-1 section line end maximum modes；rKFor under maximum mode at switching theorem correct position
Resistance；For reactance under K-1 section line end maximum modes.
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Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109670654A (en) * | 2019-01-09 | 2019-04-23 | 国网江西省电力有限公司电力科学研究院 | A kind of automatic identification distribution line protection rational method of definite value |
| CN113514700A (en) * | 2021-04-15 | 2021-10-19 | 李冰鑫 | System impedance checking method based on actual fault information |
| CN113514700B (en) * | 2021-04-15 | 2024-05-31 | 李冰鑫 | System impedance checking method based on actual fault information |
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