CN107843770B - A kind of distribution line position of the switch setting method based on impedance variations rule - Google Patents
A kind of distribution line position of the switch setting method based on impedance variations rule Download PDFInfo
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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 setting method based on impedance variations rule, comprising the following steps: (1) conductive paths and through track are selected according to distribution conducting wire information；(2) it asks and calculates through track and conductive paths along the changing rule of line impedence；(3) according to the system impedance at through track terminating impedance size and 10kV bus, the impedance value at the number of switches being arranged on route and setting is determined using criterion；(4) according to terminating wire situation, by a certain impedance transformation at switch setting at electric pole number a certain on route, and the impedance value at switch setting is updated.Method proposed by the present invention, setting position is switched for distribution line, and science, effective method are provided, route design planning can be carried out for distribution line design department, O&M, which overhauls department, to be carried out rational verifying to the setting of distribution line upper switch and be transformed offer decision guidance.
Description
Technical field
The present invention relates to a kind of distribution line position of the switch setting methods based on impedance variations rule, belong to power matching network skill
Art field.
Background technique
Voltage levels power grid 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 line is that T contact is 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.A large amount of branch
Difficulty is brought to the configuration of distribution network protection with complicated wiring, up to the present, national standard, professional standard or company standard
For the specification that the position of the switch on distribution line does not provide, cause the setting of the distribution line position of the switch 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, some are based on maintenance conveniently, ignores upstream and downstream
The protection cooperation of switch, installing with substation near；Some are using branch line as boundary, as long as branch line, then at beginning, installing is opened
It closes；Some are installed according to user property, the branch line front end installation switch where private subscribers；Some are because route is too long, In
Centre installs several switches additional；Some are according to equidistant principle, and installing switch is to cooperate power distribution automation etc..These installing switches
Mode do not fully consider the validity of relaying configuration, it is especially simpler to the processing of branch line.
Summary of the invention
The object of the present invention is to the existing distribution line position of the switch setting it is lack of standardization there are aiming at the problem that, the present invention
It is proposed a kind of distribution line position of the switch setting method based on impedance variations rule.
The technical solution 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, comprising the following steps:
(1) conductive paths and through track are selected according to distribution conducting wire information；
(2) it asks and calculates through track and conductive paths along the changing rule of line impedence；
(3) it according to the system impedance at through track terminating impedance size and 10kV bus, is determined on route using criterion
The number of switches and the impedance value at setting of setting；
(4) according to terminating wire situation, by a certain impedance transformation at switch setting at electric pole number a certain on route, and more
Impedance value at new switch setting.
The through track and conductive paths are as follows along the changing rule computation of line impedence:
(1) impedance value along access each under maximum mode is calculated and is expressed, impedance variations along through track
The computation of rule, is segmented through track/access；
(2) impedance variations along through track/access are expressed using piecewise function；
(3) the impedance expression under arbitrary point minimum mode.
It is described that segmentation method is carried out to through track, it is according to wire type and the mode of connection by through track TmOr any access
It is divided into N sections, the principle of segmentation is that spacing is identical between each section lead model is identical and 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 ...) it is that each section lead unit is long
Spend reactance.
The piecewise function expression are as follows:
It is 0≤l≤L within the scope of the first section lead1When, apart from the impedance Z for the arbitrary point that substation 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 segment wire endAre as follows:
It is L within the scope of the second section lead1≤l≤L1+L2When, apart from the resistance for the arbitrary point that substation is l under maximum mode
Anti- ZdFor
Work as l=L1+L2When, i.e. impedance under the maximum mode of second segment wire endAre as follows:
It similarly, is L within the scope of N section lead1+…+LN-1≤l≤L1+…+LN-1+LNWhen, distance becomes under maximum mode
Power station is the impedance Z of the arbitrary point of ldAre as follows:
Then work as l=
L1+…+LNWhen, i.e. impedance under the maximum mode of N section lead endAre as follows:
By the above expression formula, the impedance value on conducting wire apart from the arbitrary point that substation is l under maximum mode is obtained.
Impedance expression under the arbitrary point minimum mode is as follows:
System impedance z under the minimum mode at 10kV busxAre as follows:
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 arbitrary point minimum modexIt can be by the impedance value Z under the maximum modedIt acquires, i.e.,
Zx=Zd-zd+zx=Zd+(rx-rd)+j(xx-xd)。
Impedance value method at the number of switches being arranged on the determining route and setting is as follows:
Penetrate through the setting principle of On line switch are as follows: the 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；Under the maximum at the setting of the first order position of the switch, minimum mode on route through track
Impedance be respectively ZK1d、ZK1x, the impedance under maximum, minimum mode at the setting of the second level position of the switch is respectively ZK2d、ZK2x,
System impedance under maximum at 10kV bus, minimum mode is Zd、Zx, then it is ensured that impedance meets lower relation of plane:
Determine that switch setting location method is as follows on through track:
(1) impedance under the maximum mode of through track endJudge whether following formula is true,
In formula,For the mould of route terminating impedance under maximum mode, | zd| for impedance at 10kV bus under maximum mode
Mould, λ is that 10kV bus is minimum, the ratio between system impedance mould under maximum mode, it may be assumed that
IfIt sets up, then two-stage switch can be set by through track and be divided into three parts, the
Impedance Z at level-one switch under maximum modeK1dAre as follows:
Impedance Z at the switch of the second level under maximum modeK2dAre as follows:
(2) ifIt is invalid, then judge whether following formula is true,
IfIt sets up, then level-one switch can be set by route and be divided into two sections, what is be arranged on route opens
Impedance Z at pass under maximum modeKdAre as follows:
ZKd=1.6 λ zd
(3) ifIt is invalid, then switch should not be set on the route；
Other access upper switch position setting methods are as follows:
The setting of the position of the switch is with through track TmOn switch be set as standard, switch on other accesses is arranged referring to it
It is configured；Switch first is configured to through track, determines that switch setting sum of series switchs the impedance at setting, on through track
Switch setting determine after, be arranged on other accesses in place identical with the impedance at perforation On line switch setting and open with level-one
It closes, shorter access can not be set if impedance is greater than 0.85 times of the terminating impedance of the access at certain grade of switch setting
Set this grade switch.
A certain impedance transformation is as follows at the method for electric pole number a certain on route at the switch setting:
(1) segment limit at the position of the switch on the corresponding through track/access of impedance is determined
If being Z according to certain switch suitable position is calculated to be in impedance value under maximum modeKd, first by the mould of the impedance
|ZKd| compared with the impedance value changed along distribution line access, determine the conducting wire number of segment where its impedance；The side of comparison
Method is to incite somebody to action | ZKd| since paragraph 1 route, one by one with the mould of the terminating impedance of each section of routeCompare；
IfSwitch the big Mr. Yu's access terminating impedance of suitable position0.85 times, explanation is matched
This grade switch should not be set on the access of cable road, therefore this grade switch can be not provided on the access；
IfThen illustrate the suitable position of switch in paragraph 1 line range；IfThen after
It is continuous to compare | ZKd| with
IfIllustrate to switch suitable position in the 2nd section of line range；Otherwise continue to compare | ZKd| withAnd so on, untilSuitable 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 switching suitable position in K (1≤K≤N) section line range, i.e.,Begin at this with K sections
Length between end is lK, and K sections of line pole numbers are G, length is Δ l between bar, and unit length impedance is zK=rK+jxK,
Then have,
That is:
After the modulus of both sides square, it may be assumed that
Therefore it acquires:
The length is computational length, not necessarily corresponds to electric pole position；It needs to be adjusted:
First by lKDivided by Δ l, ratio G is obtainedK0, it may be assumed that
Ratio GK0If it is 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 acquired switchK, it may be assumed that
GK=[GK0]+1
In formula, [GK0] it is GK0Bracket function；
(3) impedance value at switch setting is updated
Electric pole GKImpedance under the maximum mode at place is known as impedance Z at switchKK, the impedance value are as follows:
The invention has the advantages that the present invention determines conductive paths and through track according to distribution conducting wire information, then ask
Through track and conductive paths are calculated along the changing rule of line impedence, at through track terminating impedance size and 10kV bus
System impedance, the impedance value at the number of switches being arranged on route and setting is determined using criterion, finally according to terminating wire
Impedance value at switch setting is converted to electric pole number, and updates the impedance value at switch setting by situation.Side proposed by the present invention
Method switchs setting position for distribution line and provides science, effective method, can carry out route design for distribution line design department
Planning, O&M, which overhauls department, to be carried out rational verifying to the setting of distribution line upper switch and is transformed offer decision guidance.
This method can use software realization and calculate and export automatically as a result, realize the automatic quick meter of the switchgear distribution of a large amount of routes
It calculates.
Detailed description of the invention
Fig. 1 is that the present invention is based on the distribution line position of the switch setting method block diagrams of impedance variations rule；
Fig. 2 is that distribution conducting wire penetrates through line options schematic diagram.
Specific embodiment
A specific embodiment of the invention is as shown in Figure 1.
A kind of distribution line position of the switch setting method 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 conducting wire information；
(2) it asks and calculates through track and conductive paths along the changing rule of line impedence；
(3) it according to the system impedance at through track terminating impedance size and 10kV bus, is determined on route using criterion
The number of switches and the impedance value at setting of setting；
(4) according to terminating wire situation, impedance value at switch setting is converted to electric pole number, and update at switch setting
Impedance value.
Conductive paths and through track are selected according to distribution conducting wire information:
The present invention selects access of the distribution line from substation to end, under a certain method of operation, distribution line first
There are many branch lines, therefore there are many its ends, and the access from substation to end is with regard to there are many.
The method that the present embodiment selects longest access is to find out larger branch line first, more each branch line end and change
The distance between power station can determine that the more persons of electric pole number are longest access according to the electric pole sum between end and substation；Such as
The a plurality of path-length of fruit is similar, then the smallest for longest access with the conducting wire of the process line footpath that is averaged.Select longest access as
The route through track, is denoted as Tm.Fig. 2 is the through track schematic diagram of a distribution line.
The method that the present embodiment selects other important accesses is access longer for length, all each one end of freedom
Determine, the selection method of these important accesses is, from substation, approached along conducting wire terminad, by way of all route structures
At the access, it is denoted as T respectivelyi(i=1,2 ...).
It asks and calculates through track and conductive paths along the changing rule of line impedence:
The present embodiment is calculated and is expressed to the impedance value along access each under maximum mode, through track along line impedence
The computation of changing rule is as follows:
(1) through track (access) is segmented
According to wire type and the mode of connection by through track TmOr any access is divided into N sections, the principle of segmentation is each section and leads
Spacing is identical between line style number is identical and bar.If each section lead length is respectively L1,L2,…,LN；The unit length of each section lead hinders
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 ...) it is that each section lead unit is long
Spend reactance.
(2) impedance variations along through track (access) are expressed using piecewise function
Assuming that the system impedance z under maximum mode at 10kV busdAre as follows:
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.It can
Acquire the impedance Z under maximum mode apart from the arbitrary point that substation is ldChanging along the line, segmentation indicates, as described below:
It is 0≤l≤L within the scope of the first section lead1When, apart from the impedance Z for the arbitrary point that substation is l under maximum moded
Are as follows:
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 segment wire endAre as follows:
It is L within the scope of the second section lead1≤l≤L1+L2When, apart from the resistance for the arbitrary point that substation is l under maximum mode
Anti- ZdAre as follows:
Work as l=L1+L2When, i.e. impedance under the maximum mode of second segment wire endAre as follows:
It as a same reason, is L within the scope of N section lead1+…+LN-1≤l≤L1+…+LN-1+LNWhen, under maximum mode away from
Impedance Z from the arbitrary point that substation is ldAre as follows:
(L1+…+LN-1≤l≤L1+…+LN-1+LN) then work as l=
L1+…+LNWhen, i.e. impedance under the maximum mode of N section lead endAre as follows:
The impedance value under maximum mode on conducting wire apart from the arbitrary point that substation is l can be obtained in the above expression formula.
(3) the impedance expression under arbitrary point minimum mode
If the system impedance z under minimum mode at 10kV busxAre as follows:
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 arbitrary point minimum modexIt can be by the impedance value Z under the maximum modedIt acquires, i.e.,
Zx=Zd-zd+zx=Zd+(rx-rd)+j(xx-xd)
Determine the impedance value at the number of switches being arranged on route and setting:
(1) On line switch position setting principle is penetrated through
Two-stage is at most arranged in perforation On line switch in the present embodiment, is referred to as first order switch, second level switch, each
Grade may have multiple switch, equal with the impedance magnitude at level-one switch with level-one switch on different accesses.
The setting principle of perforation On line switch is: the 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 route through track
Under impedance be respectively ZK1d、ZK1x, the impedance under maximum, minimum mode at the setting of the second level position of the switch is respectively ZK2d、
ZK2x, the system impedance under maximum at 10kV bus, minimum mode is Zd、Zx, then it is ensured that impedance meets lower relation of plane:
(2) the present embodiment determines switch setting position with following modular method
1) impedance under the maximum mode of through track endJudge whether following formula is true
In formula,For the mould of route terminating impedance under maximum mode, | zd| for impedance at 10kV bus under maximum mode
Mould, λ is that 10kV bus is minimum, the ratio between system impedance mould under maximum mode, it may be assumed that
If formula (1) is set up, two-stage switch can be set by through track and be divided into three parts, it is most generous at first order switch
Impedance Z under formulaK1dAre as follows:
Impedance Z at the switch of the second level under maximum modeK2dAre as follows:
If 2) formula (1) is invalid, judge whether following formula is true,
It is respectively measured in formula (2) as defined above.If formula (2) is set up, level-one switch can be set by route and be divided into two sections, line
Impedance Z at the switch of road setting under maximum modeKdAre as follows:
ZKd=1.6 λ zd
3) if formula (2) is invalid, switch should not be set on the route.
(3) other access upper switch position setting methods
The setting of the position of the switch is with through track TmOn switch be set as standard, switch on other accesses is arranged referring to it
It is configured.Switch first is configured to through track, determines that switch setting sum of series switchs the impedance at setting, on through track
Switch setting determine after, be arranged on other accesses in place identical with the impedance at perforation On line switch setting and open with level-one
It closes, shorter access can not be set if impedance is greater than 0.85 times of the terminating impedance of the access at certain grade of switch setting
Set this grade switch.
Impedance value is converted to electric pole number at switch setting, updates the impedance value at switch setting:
Since the distribution line position of the switch is mounted on electric pole, lead location is subject to electric pole in practical application.Electric pole
It is series of discrete numerical value apart from substation's length, and impedance value is the numerical value of consecutive variations, the corresponding distance of a certain impedance value
It is not necessarily electric pole position, it is therefore desirable to corresponding immediate electric pole number should be converted by electric pole for a certain impedance.A certain impedance
It is as follows to be converted into a certain electric pole number, method on route:
(1) segment limit at the position of the switch on the corresponding through track/access of impedance is determined
If being Z according to certain switch suitable position is calculated to be in impedance value under maximum modeKd, first by the mould of the impedance
|ZKd| compared with the impedance value changed along distribution line access, determine the conducting wire number of segment where its impedance.The side of comparison
Method is to incite somebody to action | ZKd| since paragraph 1 route, one by one with the mould of the terminating impedance of each section of routeCompare.
IfSwitch the big Mr. Yu's access terminating impedance of suitable position0.85 times, explanation
This grade switch should not be set on the distribution line access, therefore this grade switch can be not provided on the access.
IfThen illustrate the suitable position of switch in paragraph 1 line range；IfThen after
It is continuous to compare | ZKd| with
IfIllustrate to switch suitable position in the 2nd section of line range；Otherwise continue to compare | ZKd| withAnd so on, untilSuitable 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 switching suitable position in K (1≤K≤N) section line range, i.e.,Begin at this with K sections
Length between end is lK, and K sections of line pole numbers are G, length is Δ l between bar, and unit length impedance is zK=rK+jxK,
Then have:
That is:
After the modulus of both sides square, i.e.,
Therefore it acquires:
The length is computational length, not necessarily corresponds to electric pole position.It needs to carry out following adjust thus:
First by lKDivided by Δ l, ratio G is obtainedK0, it may be assumed that
Ratio GK0If it is 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 acquired switchK, it may be assumed that
GK=[GK0]+1
In formula, [GK0] it is GK0Bracket function.
(3) impedance value at switch setting is updated
Electric pole GKImpedance under the maximum mode at place is known as impedance Z at switchKK, the impedance value are as follows:
In above-mentioned formula,For impedance value under K-1 sections of line end maximum modes；ZKFor switching theorem suitable position
Locate impedance value under maximum mode；For impedance value under paragraph 1 line end maximum mode；For the 2nd section of line end maximum
Impedance value under mode；For resistance under K-1 sections of line end maximum modes；rKIt is most generous at switching theorem suitable position
Resistance under formula；For reactance under K-1 sections of line end maximum modes.
Claims (6)
1. a kind of distribution line position of the switch setting method based on impedance variations rule, which is characterized in that the method includes
Following steps:
(1) conductive paths and through track are selected according to distribution conducting wire information；
(2) it asks and calculates through track and conductive paths along the changing rule of line impedence；
(3) it according to the system impedance at through track terminating impedance size and 10kV bus, is determined using criterion and is arranged on route
Number of switches and setting at impedance value；
(4) it according to terminating wire situation, by a certain impedance transformation at switch setting at electric pole number a certain on route, and updates and opens
Close the impedance value at setting；
Impedance value method at the number of switches being arranged on the determining route and setting is as follows:
Penetrate through the setting principle of On line switch are as follows: the impedance at switch setting under maximum operational mode is 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 route through track, the resistance under minimum mode
Anti- is respectively ZK1d、ZK1x, the impedance under maximum, minimum mode at the setting of the second level position of the switch is 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:
Determine that switch setting location method is as follows on through track:
(1) impedance under the maximum mode of through track endJudge whether following formula is true,
In formula,For the mould of route terminating impedance under maximum mode, | zd| it is the mould of impedance at 10kV bus under maximum mode,
λ is the ratio between system impedance mould under 10kV bus minimum, maximum mode, it may be assumed that
IfIt sets up, then two-stage switch can be set by through track and be divided into three parts, the first order is opened
Impedance Z at pass under maximum modeK1dAre as follows:
Impedance Z at the switch of the second level under maximum modeK2dAre as follows:
(2) ifIt is invalid, then judge whether following formula is true,
IfIt sets up, then level-one switch can be set by route and be divided into two sections, at the switch being arranged on route
Impedance Z under maximum modeKdAre as follows:
ZKd=1.6 λ zd
(3) ifIt is invalid, then switch should not be set on the route；
Other access upper switch position setting methods are as follows:
The setting of the position of the switch is with through track TmOn switch be set as standard, the setting of switch on other accesses is referring to its progress
Setting；Switch first is configured to through track, determines that switch setting sum of series switchs the impedance at setting, opening on through track
After pass setting determines, it is arranged on other accesses in place identical with the impedance at perforation On line switch setting and is switched with level-one,
Shorter access can be not provided with if impedance is greater than 0.85 times of the terminating impedance of the access at certain grade of switch setting
Grade switch.
2. a kind of distribution line position of the switch setting method based on impedance variations rule according to claim 1, special
Sign is that the through track and conductive paths are as follows along the changing rule computation of line impedence:
(1) impedance value along access each under maximum mode is calculated and is expressed, impedance variations rule along through track
Computation, through track/access is segmented；
(2) impedance variations along through track/access are expressed using piecewise function；
(3) the impedance expression under arbitrary point minimum mode.
3. a kind of distribution line position of the switch setting method based on impedance variations rule according to claim 2, special
Sign is, described to carry out segmentation method to through track, is according to wire type and the mode of connection by through track TmOr any access
It is N sections, the principle of segmentation is that spacing is identical between each section lead model is identical and 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 ...) it is each section lead unit length electricity
It is anti-.
4. a kind of distribution line position of the switch setting method based on impedance variations rule according to claim 2, special
Sign is that the piecewise function is expressed are as follows:
It is 0≤l≤L within the scope of the first section lead1When, apart from the impedance Z for the arbitrary point that substation 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 segment wire endAre as follows:
It is L within the scope of the second section lead1≤l≤L1+L2When, apart from the impedance Z for the arbitrary point that substation is l under maximum moded
For
Work as l=L1+L2When, i.e. impedance under the maximum mode of second segment wire endAre as follows:
It similarly, is L within the scope of N section lead1+…+LN-1≤l≤L1+…+LN-1+LNWhen, apart from substation under maximum mode
For the impedance Z of the arbitrary point of ldAre as follows:
Then when
L=L1+…+LNWhen, i.e. impedance under the maximum mode of N section lead endAre as follows:
By the above expression formula, the impedance value on conducting wire apart from the arbitrary point that substation is l under maximum mode is obtained.
5. a kind of distribution line position of the switch setting method based on impedance variations rule according to claim 2, special
Sign is that the impedance expression under the arbitrary point minimum mode is as follows:
System impedance z under the minimum mode at 10kV busxAre as follows:
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 arbitrary point minimum modexIt can be by the impedance value Z under the maximum modedIt acquires, i.e. Zx=Zd-zd+zx
=Zd+(rx-rd)+j(xx-xd)。
6. a kind of distribution line position of the switch setting method based on impedance variations rule according to claim 1, special
Sign is that a certain impedance transformation is as follows at the method for electric pole number a certain on route at the switch setting:
(1) segment limit at the position of the switch on the corresponding through track/access of impedance is determined
If being Z according to certain switch suitable position is calculated to be in impedance value under maximum modeKd, first by the mould of the impedance | ZKd|
Compared with the impedance value changed along distribution line access, the conducting wire number of segment where its impedance is determined；Comparative approach is,
Will | ZKd| since paragraph 1 route, one by one with the mould of the terminating impedance of each section of routeCompare；
IfSwitch the big Mr. Yu's access terminating impedance of suitable position0.85 times, illustrate distribution
This grade switch should not be set on the route access, therefore this grade switch can be not provided on the access；
IfThen illustrate the suitable position of switch in paragraph 1 line range；IfThen continue to compare
Compared with | ZKd| with
IfIllustrate to switch suitable position in the 2nd section of line range；Otherwise continue to compare | ZKd| withAccording to
It is secondary to analogize, untilSuitable 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 switching suitable position in K (1≤K≤N) section line range, i.e.,At this with K sections of beginnings it
Between length be lK, and K sections of line pole numbers are G, length is Δ l between bar, and unit length impedance is zK=rK+jxK, then have,
That is:
After the modulus of both sides square, it may be assumed that
Therefore it acquires:
The length is computational length, not necessarily corresponds to electric pole position；It needs to be adjusted:
First by lKDivided by Δ l, ratio G is obtainedK0, it may be assumed that
Ratio GK0If it is 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 acquired switchK, it may be assumed that
GK=[GK0]+1
In formula, [GK0] it is GK0Bracket function；
(3) impedance value at switch setting is updated
Electric pole GKImpedance under the maximum mode at place is known as impedance Z at switchKK, the impedance value are as follows:
In above-mentioned formula,For impedance value under K-1 sections of line end maximum modes；ZKFor at switching theorem suitable position most
Impedance value under big mode；For impedance value under paragraph 1 line end maximum mode；For the 2nd section of line end maximum mode
Lower impedance value；For resistance under K-1 sections of line end maximum modes；rKFor under maximum mode at switching theorem suitable position
Resistance；For reactance under K-1 sections of line end maximum modes.
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