CN102707166A - Arrester protecting effect analyzing method taking residual voltage and nonlinear resistance into account - Google Patents

Arrester protecting effect analyzing method taking residual voltage and nonlinear resistance into account Download PDF

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Publication number
CN102707166A
CN102707166A CN2012101468607A CN201210146860A CN102707166A CN 102707166 A CN102707166 A CN 102707166A CN 2012101468607 A CN2012101468607 A CN 2012101468607A CN 201210146860 A CN201210146860 A CN 201210146860A CN 102707166 A CN102707166 A CN 102707166A
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arrester
lightning
value
lightning current
resistance
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Inventor
陈锡阳
杨挺
孔慧超
林建华
尹创荣
王伟然
许彬
汪逍旻
王凯
刘刚
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South China University of Technology SCUT
Dongguan Power Supply Bureau of Guangdong Power Grid Co Ltd
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South China University of Technology SCUT
Dongguan Power Supply Bureau of Guangdong Power Grid Co Ltd
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Abstract

The invention relates to an arrester protecting effect analyzing method taking residual voltage and nonlinear resistance into account. The arrester protecting effect analyzing method comprises the following steps: S1: constructing a direct lightning tower top model S1-1 and an indirect lightning conductor model S1-2; S2: analyzing and calculating parameters (a and b) of the models; and S3: calculating the lightning resisting level. With the adoption of an arrester numerical model using the arrester protecting effect analyzing method, the situation of an electric transmission line after an arrester is installed can be simply analyzed, and the lightning stroke resisting performance of the electric transmission line provided with the arrester can be accurately calculated, and meanwhile, the arrester numerical model is convenient to write lightning prevention analysis software. The models of the arrester protecting effect analyzing method can analyze the electric transmission lines with different grounding resistances, different spans and different installation phase numbers, on which the arresters are arranged, so that the engineering quantity is reduced.

Description

A kind of analysis method for the arrester protection effect for considering residual voltage and nonlinear resistance
Technical field
The present invention relates to a kind of analysis method for the arrester protection effect for considering residual voltage and nonlinear resistance.
Background technology
Thunderbolt causes one of the reason for transmission line of electricity tripping operation is harm line security stable operation.More than 110kV transmission line lightning strokes tripping operation totally 1588 times in south electric network, wherein lightning stroke trip number of times reach 1.007 times/(100kma), account for the 61.1% of total tripping operation number.And the domestic and international lightning protection properties to being improved transmission line of electricity using Transmission Line Arrestor have been reached common understanding, it is to improve the most direct maximally effective means of line lightning resisting level to install Transmission Line Arrestor.Particularly in some lightening activities frequently, the larger area of Lightning disservice, resistance to thunder level can effectively be improved by installing arrester additional, reduce tripping rate with lightning strike.But be due to arrester price costly, it is impossible to large area is used.Simultaneously importantly, resistance to thunder level difference of the circuit per phase is larger, on the premise of certain Lightning performance is ensured, from the angle of Technological Economy, it is not necessary that all phases all zinc oxide surge arresters.Therefore the research to leakage conductor operational mode is particularly significant.
The domestic research for optimizing resistance to thunder level after arrester for installing additional mainly has following three kinds of methods at present, and various methods have its weak point：
1. EMTP methods, although can preferably build model using EMTP and be calculated, in view of building model complexity, are unfavorable for promoting the use of.
2. field test method, although very accurately can be analyzed for installing the effect after arrester additional, it is contemplated that the danger of experiment, is similarly unfavorable for promoting.
3. the simple numerical model method of residual voltage is not considered, although is overcome the shortcoming for being difficult to promote, but is due to which omits the residual voltage of arrester and nonlinear resistance, so model excessively simplification is difficult to ensure that accuracy.
The content of the invention
The technical problems to be solved by the invention, are just to provide the method that the analysis of a kind of easy to spread and accuracy enough considers the arrester protection effect of residual voltage and nonlinear resistance.
Above-mentioned technical problem is solved, the technical solution adopted by the present invention is as follows：
A kind of method for analyzing the arrester protection effect for considering residual voltage and nonlinear resistance, comprises the following steps：
S1 model constructions
S1-1 thunders and lightnings attack tower top model directly
When thunder and lightning attack directly tower top and leakage conductor action after shaft tower equivalent circuit be：Tower top is equivalent to inductance Lgt series resistances Rch through three groundings in parallel, tie point through shaft tower, second branch road is through the adjacent shelves lightning conducter in both sides, inductance Lb is equivalent to, the 3rd branch road flows through the arrester being connected with wire, is equivalent to 3 leakage conductors in parallel and lead inductance Ld； 
If the contour arrangement of three wire levels,
Figure 718517DEST_PATH_IMAGE002
For total lightning current,
Figure 2012101468607100002DEST_PATH_IMAGE003
、
Figure 867608DEST_PATH_IMAGE004
、
Figure 2012101468607100002DEST_PATH_IMAGE005
Respectively flow through shaft tower enter the electric current on ground, after lightning arrestor movement to the electric current of the adjacent shelves conducting wire splitting in shaft tower both sides, the current distributing of the adjacent shelves lightning conducter in shaft tower both sides；
Figure 869936DEST_PATH_IMAGE006
、、
Figure 155293DEST_PATH_IMAGE008
Respectively shaft tower equivalent inductance, unit is μ H, the inductance in parallel value of the adjacent shelves in leakage conductor protection phase conductor shaft tower both sides, the inductance in parallel value of the adjacent shelves lightning conducter in shaft tower both sides；
Figure 2012101468607100002DEST_PATH_IMAGE009
For
Figure 968397DEST_PATH_IMAGE007
、
Figure 480150DEST_PATH_IMAGE008
Parallel value；
Figure 709006DEST_PATH_IMAGE010
For Tower Impulse Grounding Resistance, unit is Ω；MFor leakage conductor；
If lightning current
Figure 989815DEST_PATH_IMAGE002
With oblique angle wave head,
Figure 2012101468607100002DEST_PATH_IMAGE011
,For the average gradient of lightning current（kV/μs）,
Figure 2012101468607100002DEST_PATH_IMAGE013
,
Figure 18874DEST_PATH_IMAGE014
For the wave head length of lightning current, take
Figure 2012101468607100002DEST_PATH_IMAGE015
,
Figure 441634DEST_PATH_IMAGE002
、
Figure 576949DEST_PATH_IMAGE004
Amplitude be respectively
Figure 669539DEST_PATH_IMAGE016
、
Figure 2012101468607100002DEST_PATH_IMAGE017
（kA）Leakage conductor action after residual voltage be
Figure 225327DEST_PATH_IMAGE018
（kV）,αFor nonlinear factor, then computing formula is as follows：
                           
Figure 2012101468607100002DEST_PATH_IMAGE019
                               （1）
                        
Figure 920619DEST_PATH_IMAGE020
                           （2）
                      
Figure 2012101468607100002DEST_PATH_IMAGE021
                      （3）
                    
Figure 300654DEST_PATH_IMAGE022
                    （4）
                       
Figure 2012101468607100002DEST_PATH_IMAGE023
                      （5）
Arrange（4）
Figure 751096DEST_PATH_IMAGE024
                    （6）
If
Figure 2012101468607100002DEST_PATH_IMAGE025
                         （7）
Then
Figure 708425DEST_PATH_IMAGE026
                           （8）
Arrange（5）
Figure 2012101468607100002DEST_PATH_IMAGE027
                        （9）
Or                       （10）
By（8）、（9）
Figure 2012101468607100002DEST_PATH_IMAGE029
                      （11）
In formula,
Figure 563654DEST_PATH_IMAGE030
Shaft tower diverting coefficient when attacking tower top directly for thunder；
Figure 2012101468607100002DEST_PATH_IMAGE031
Leakage conductor is to the diverting coefficient of lightning current when attacking tower top directly for thunder,nFor power transmission line parallel-connection branch number, whereinn=1/x,xFor the number of zinc oxide surge arresters；
S1-2, thunderbolt lead model
When lightning current shielding is on wire, the equivalent circuit after leakage conductor action is：A part of lightning current is flowed through to the side of zinc oxide surge arresters one, the non-side of zinc oxide surge arresters one of part flow direction to ground connection along wire;If：The lightning current of shielding
Figure 122680DEST_PATH_IMAGE032
It is divided into
Figure 2012101468607100002DEST_PATH_IMAGE033
With
Figure 629622DEST_PATH_IMAGE034
Two parts；、
Figure 578903DEST_PATH_IMAGE036
Respectively shielding point is to the inductance of leakage conductor section lead, the inductance of shielding point opposite side wire；
、
Figure 273244DEST_PATH_IMAGE033
、
Figure 2012101468607100002DEST_PATH_IMAGE037
Current amplitude be respectively
Figure 752636DEST_PATH_IMAGE038
、
Figure 2012101468607100002DEST_PATH_IMAGE039
、
Figure 45952DEST_PATH_IMAGE040
, computing formula is as follows；
                                
Figure 2012101468607100002DEST_PATH_IMAGE041
                         （12）
                                               （13）
                                
Figure 2012101468607100002DEST_PATH_IMAGE043
                        （14）
                           
Figure 14969DEST_PATH_IMAGE044
                   （15）
Figure 2012101468607100002DEST_PATH_IMAGE045
          （16）
                                           （17）
                       
Figure 2012101468607100002DEST_PATH_IMAGE047
            （18）
Arrange（16）
Figure 891712DEST_PATH_IMAGE048
         （19）
Arrange（17）
Figure 2012101468607100002DEST_PATH_IMAGE049
               （20）
Arrange（18）
Figure 876724DEST_PATH_IMAGE050
         （21）
If
Figure 2012101468607100002DEST_PATH_IMAGE051
Then
Figure 338667DEST_PATH_IMAGE052
           （22）
Make again
Figure 2012101468607100002DEST_PATH_IMAGE053
Arrange（21）、（22）
Figure 917285DEST_PATH_IMAGE054
           （23）
Figure 2012101468607100002DEST_PATH_IMAGE055
          （24）
Wherein,
Figure 310261DEST_PATH_IMAGE056
Shaft tower diverting coefficient during for lightning current shielding wire；
Figure 2012101468607100002DEST_PATH_IMAGE057
Arrester diverting coefficient during for lightning current shielding wire；mFor power transmission line parallel-connection branch number, whereinm=1/x,xFor the number of zinc oxide surge arresters；
S2 analysis and solution model parameter a, b numerical value
1）It can be obtained by formula (8)：
                         
Figure 166091DEST_PATH_IMAGE058
                   （25）
2）By formula（22）：
Figure 2012101468607100002DEST_PATH_IMAGE059
                （26）
Figure 861252DEST_PATH_IMAGE060
                    （27）
The resistance to thunder level calculations of S3
It is calculated as follows：
1）Lightning current attacks tower top directly
When circuit 3 is mutually respectively mounted arrester, three phase isolated is protected by the clamping action of arrester, so having：
Figure 2012101468607100002DEST_PATH_IMAGE061
            （28）
2）Lightning current attacks tower top directly
When circuit only 1 or 2 phase arrester, line lightning resisting level is equal to the resistance to thunder level of non-zinc oxide surge arresters branch road.Therefore non-zinc oxide surge arresters branch insulation substring both end voltage is taken, its numerical value is equal to voltage at tower top, had：
                          
Figure 536953DEST_PATH_IMAGE062
               （29）
3）Lightning current shielding wire
If the non-zinc oxide surge arresters branch road of thunderbolt, resistance to thunder level calculation formula is not installed identical with three-phase；If lightning current shielding zinc oxide surge arresters branch road, it is contemplated that the lightning current for flowing into shaft tower through arrester is smaller, is insufficient to allow the insulator chain flashover of non-shielding branch road, so resistance to thunder horizontal amplitude value is equal to the resistance to thunder level of insulator chain of shielding wire.
Figure 2012101468607100002DEST_PATH_IMAGE063
          （30）.
 
Solving model parameter a, b numerical value uses dichotomy, and simplifies using computer programming calculating a values.
Logical thinking：
By formula（8）（10）（11）Understand, when
Figure 975762DEST_PATH_IMAGE064
During more than actual value, a obtained will be less than actual value, while obtained using a values
Figure 623781DEST_PATH_IMAGE064
Actual value will be less than, then the method approached using two sections just can obtain actual a values and reality
Figure 850363DEST_PATH_IMAGE064
Value.Consider what residual voltage of arrester was obtained simultaneously
Figure 216622DEST_PATH_IMAGE064
Value is not by less than considering what residual voltage of arrester was obtained
Figure 68910DEST_PATH_IMAGE064
Value, so
Figure 571435DEST_PATH_IMAGE064
The initial value of value is obtained using residual voltage of arrester influence is ignored
Figure 546082DEST_PATH_IMAGE064
Value.
Beneficial effect：
1. using the arrester numerical model of the present invention, simplifiedly it can be analyzed when transmission line of electricity is installed additional after arrester, accurate computing electric power line installs its circuit Lightning performance after arrester additional, while also can conveniently write Lightning Protection Analysis software.
2. the model of the present invention can be analyzed for the transmission line of electricity of different grounding resistance, different spans, the different zinc oxide surge arresters for installing the number of phases, quantities is reduced.
Brief description of the drawings
Fig. 1 is that thunder and lightning attacks tower top physical model directly；
Fig. 2 is thunderbolt wire physical model；
Fig. 3 is that parameter a solves flow chart；
Fig. 4 is that parameter b solves flow；
Fig. 5 is resistance to thunder level calculation flow chart；
Fig. 6 is that arrester different installation influences to scheme on resistance to thunder level when thunder attacks tower top directly.
Embodiment
A kind of analysis of the present invention considers the embodiment of the method for the arrester protection effect of residual voltage and nonlinear resistance, comprises the following steps：
S1 model constructions
S1-1 thunders and lightnings attack tower top model directly
Referring to Fig. 1, shaft tower equivalent circuit after thunder and lightning attacks tower top and leakage conductor action directly is：Tower top is reduced to inductance Lgt series resistances Rch through three groundings in parallel, tie point through shaft tower, second branch road is through the adjacent shelves wire in shaft tower both sides, inductance Lb is reduced to, the 3rd branch road is reduced to 3 leakage conductors and Ld in parallel through the adjacent shelves lightning conducter in shaft tower both sides. 
Because the distance between three-phase conducting wire is much smaller than shaft tower whole height, calculate for convenience, if the contour arrangement of three wire levels,
Figure 71741DEST_PATH_IMAGE002
For total lightning current,
Figure 727720DEST_PATH_IMAGE003
、
Figure 350331DEST_PATH_IMAGE004
、
Figure 918715DEST_PATH_IMAGE005
Respectively flow through shaft tower enter the electric current on ground, after lightning arrestor movement to the electric current of the adjacent shelves conducting wire splitting in shaft tower both sides, the current distributing of the adjacent shelves lightning conducter in shaft tower both sides；
Figure 259567DEST_PATH_IMAGE006
、、
Figure 868457DEST_PATH_IMAGE008
Respectively shaft tower equivalent inductance, unit is μ H, the inductance in parallel value of the adjacent shelves in leakage conductor protection phase conductor shaft tower both sides, the inductance in parallel value of the adjacent shelves lightning conducter in shaft tower both sides；
Figure 857011DEST_PATH_IMAGE009
For
Figure 357262DEST_PATH_IMAGE007
、
Figure 627199DEST_PATH_IMAGE008
Parallel value；
Figure 457358DEST_PATH_IMAGE010
For Tower Impulse Grounding Resistance, unit is Ω；MFor leakage conductor；
If lightning current
Figure 695442DEST_PATH_IMAGE002
With oblique angle wave head,
Figure 745306DEST_PATH_IMAGE011
,
Figure 281199DEST_PATH_IMAGE012
For the average gradient of lightning current（kV/μs）,,
Figure 141893DEST_PATH_IMAGE014
For the wave head length of lightning current, take
Figure 351157DEST_PATH_IMAGE015
,
Figure 189276DEST_PATH_IMAGE002
、
Figure 433176DEST_PATH_IMAGE004
Amplitude be respectively
Figure 13061DEST_PATH_IMAGE016
、（kA）Leakage conductor action after residual voltage be
Figure 852896DEST_PATH_IMAGE018
（kV）,αFor nonlinear factor, then computing formula is as follows：
     
Figure 13619DEST_PATH_IMAGE019
                                （1）
                              （2）
Figure 342672DEST_PATH_IMAGE021
                       （3）
Figure 837107DEST_PATH_IMAGE022
                   （4）
 
Figure 55599DEST_PATH_IMAGE023
                       （5）
Arrange（4）
  
Figure 977288DEST_PATH_IMAGE024
            （6）
If           (7)
Then
Figure 930255DEST_PATH_IMAGE026
                  （8）
Arrange（5）
 
Figure 65570DEST_PATH_IMAGE027
            （9）
Or
Figure 158160DEST_PATH_IMAGE028
              （10）
By（8）、（9）
                （11）
In formula,
Figure 152847DEST_PATH_IMAGE030
Shaft tower diverting coefficient when attacking tower top directly for thunder；Leakage conductor is to the diverting coefficient of lightning current when attacking tower top directly for thunder,nFor power transmission line parallel-connection branch number, whereinn=1/x,xFor the number of zinc oxide surge arresters；
S1-2, thunderbolt lead model
Referring to Fig. 2, if：The lightning current of shielding
Figure 858689DEST_PATH_IMAGE032
It is divided into
Figure 301172DEST_PATH_IMAGE033
With
Figure 65734DEST_PATH_IMAGE034
Two parts；
Figure 175642DEST_PATH_IMAGE035
、
Figure 734668DEST_PATH_IMAGE036
（μH）Respectively shielding point is to the inductance of leakage conductor section lead, the inductance of shielding point opposite side wire；
Figure 664447DEST_PATH_IMAGE032
、
Figure 780170DEST_PATH_IMAGE033
、Current amplitude be respectively
Figure 497949DEST_PATH_IMAGE038
、、, computing formula is as follows；
                                
Figure 417473DEST_PATH_IMAGE041
                         （12）
                           
Figure 131351DEST_PATH_IMAGE042
                     （13）
                                
Figure 35722DEST_PATH_IMAGE043
                        （14）
                           
Figure 555565DEST_PATH_IMAGE044
                   （15）
          （16）
                           
Figure 628618DEST_PATH_IMAGE046
                （17）
                       
Figure 20285DEST_PATH_IMAGE047
            （18）
Arrange（16）
Figure 343819DEST_PATH_IMAGE048
         （19）
Arrange（17）
Figure 75015DEST_PATH_IMAGE049
               （20）
Arrange（18）
Figure 193012DEST_PATH_IMAGE050
         （21）
If
Figure 71976DEST_PATH_IMAGE051
Then           （22）
Make again
Figure 847219DEST_PATH_IMAGE053
Arrange（21）、（22）
Figure 323069DEST_PATH_IMAGE054
           （23）
Figure 686399DEST_PATH_IMAGE055
          （24）
Wherein,
Figure 873708DEST_PATH_IMAGE056
Shaft tower diverting coefficient during for lightning current shielding wire；
Figure 313916DEST_PATH_IMAGE057
Arrester diverting coefficient during for lightning current shielding wire；mFor power transmission line parallel-connection branch number（Whereinm=1/x,xFor the number of zinc oxide surge arresters）.
S2 analysis and solution model parameter a, b numerical value
By formula（8）With（22）Understand,a、bSize is relevant with arrester performance, and by formula（11）、（24）Know,a、bNumerical values recited will influence shaft tower diverting coefficient, so as to influence line lightning resisting level；Soa、bThe parameter influenceed for reflection arrester performance on line lightning resisting level；
1）It can be obtained by formula (8)：
 
Figure 350880DEST_PATH_IMAGE058
                  （25）
By formula（25）It can be found thata>1, because when lightning arrestor movement, arrester is equivalent to a nonlinear inductance, so when its nonlinear resistance is considered influence will be produced on the diverting coefficient of circuit；In view of existing in equation
Figure DEST_PATH_IMAGE065
, it is difficult to analytic expression is obtained, the present invention uses dichotomy, and simplify using computer programming calculating：
Solve a values the step of be：First, ignoring arrester influence can obtain
Figure 873610DEST_PATH_IMAGE064
, take maximum
Figure 654222DEST_PATH_IMAGE066
, bring into obtain it is corresponding
Figure DEST_PATH_IMAGE067
, then pass through formula（11）, can obtain corresponding
Figure 509789DEST_PATH_IMAGE068
If,
Figure DEST_PATH_IMAGE069
=
Figure 593020DEST_PATH_IMAGE070
, and pass through
Figure 792926DEST_PATH_IMAGE069
Obtain corresponding
Figure DEST_PATH_IMAGE071
, Posterior circle before the step of until
Figure 259721DEST_PATH_IMAGE072
WithDifference be less than engineering precision required valuez, then it is considered that it is calculated come
Figure 986107DEST_PATH_IMAGE074
For
Figure DEST_PATH_IMAGE075
Determination value.
Fig. 3 solves for dichotomyaFlow chart, realized using computer programmingaSolution.
Understand to shorten with arrester performance enhancement, lightning current wave head by formula, the increase of transmission line of electricity equivalent inductance,Value can also reduce accordingly.
2）By formula（22）：
                （26）
Figure 675955DEST_PATH_IMAGE060
                    （27）
Solve
Figure 69896DEST_PATH_IMAGE057
When, equally using dichotomy；Analysis shielding figure is it can be found that after thunder and lightning flows through arrester and flows into shaft tower, shaft tower, lightning conducter and remaining two phase conductors, which are constituted, is similar to the model that lightning current attacks tower top directly, therefore right
Figure 494930DEST_PATH_IMAGE056
Solution withaSolution procedure is approximate, and solution procedure is：First, ignoring arrester influence can obtain
Figure 669428DEST_PATH_IMAGE064
Take maximum, bring into obtain it is corresponding
Figure 719347DEST_PATH_IMAGE076
（The implication of c herein is identical with a described above implication）, then pass through formula（11）, can obtain correspondingIf,=
Figure 988764DEST_PATH_IMAGE070
, and pass through
Figure 294980DEST_PATH_IMAGE069
Obtain corresponding, Posterior circle before the step of until
Figure 124134DEST_PATH_IMAGE072
With
Figure 93400DEST_PATH_IMAGE073
Difference be less than engineering precision required valuez, then it is considered that it is calculated come
Figure 721827DEST_PATH_IMAGE078
For
Figure DEST_PATH_IMAGE079
Determination value.
Solve b values the step of be：First, ignoring the influence of arrester can obtain
Figure 272763DEST_PATH_IMAGE057
Maximum
Figure 210501DEST_PATH_IMAGE080
, solve c according to above said and obtain corresponding
Figure 456674DEST_PATH_IMAGE056
, obtain corresponding
Figure DEST_PATH_IMAGE081
, after calculate it is corresponding
Figure 200377DEST_PATH_IMAGE082
, then take
Figure DEST_PATH_IMAGE083
, and calculate corresponding, equally finally work as by that analogy
Figure DEST_PATH_IMAGE085
With
Figure 776776DEST_PATH_IMAGE086
Between difference be less thanz（Requirement of engineering precision value）, then it is corresponding
Figure DEST_PATH_IMAGE087
For
Figure 572562DEST_PATH_IMAGE088
Determination value.
Fig. 4 solves for dichotomybFlow chart, realized using computer programmingbSolution.
From formula,With arrester performance improve, lightning current wave head shorten, the increase of transmission line of electricity equivalent inductance and reduce, it is unrelated with transmission line of lightning strike position.
The resistance to thunder level calculations of S3
During lightning arrestor movement, shunting can not only be played a part of, additionally it is possible to limit the voltage at insulator chain two ends.Below will be when analysis lightning current attacks tower top directly on the basis of considering lightning arrester characteristic, circuit installs corresponding resistance to thunder level calculation method after 1,2 or 3 phase arresters, and circuit installs corresponding resistance to thunder level calculation method after 1,2 or 3 phase arresters during lightning current shielding tower top；
First, if resistance to thunder horizontal amplitude value is
Figure DEST_PATH_IMAGE089
（Take less than the actual level value of resistance to thunder, do not add resistance to thunder horizontal amplitude value during arrester such as）, bring flow intoa, then solve corresponding
Figure 989692DEST_PATH_IMAGE030
With
Figure 82282DEST_PATH_IMAGE064
；Then insulator chain both end voltage is obtained（And residual voltage of arrester）
Figure 552315DEST_PATH_IMAGE090
；Judge, if
Figure DEST_PATH_IMAGE091
, then take
Figure 824771DEST_PATH_IMAGE092
（
Figure 752276DEST_PATH_IMAGE094
For increment value, it can be needed to take arbitrary value according to precision）, bring into afterwardsSolve new insulator both end voltage
Figure 288472DEST_PATH_IMAGE096
, then continue to judge
Figure 996534DEST_PATH_IMAGE096
With
Figure DEST_PATH_IMAGE097
Size, if still it is smaller, continue cycling through, until
Figure 885730DEST_PATH_IMAGE098
, then resistance to thunder level
Figure DEST_PATH_IMAGE099
。
Fig. 5 is the computer flow chart of the computational methods.
Calculate the formula used as follows：
1）Lightning current attacks tower top directly（3 phases）
When circuit 3 is mutually respectively mounted arrester, three phase isolated is protected by the clamping action of arrester, so having：
            （28）
2）Lightning current attacks tower top directly（1st, 2 phase）
When circuit only 1 or 2 phase arrester, line lightning resisting level is equal to the resistance to thunder level of non-zinc oxide surge arresters branch road.Therefore non-zinc oxide surge arresters branch insulation substring both end voltage is taken, its numerical value is equal to voltage at tower top.Have：
                                         （29）
3）Lightning current shielding wire
If the non-zinc oxide surge arresters branch road of thunderbolt, resistance to thunder level calculation formula is not installed identical with three-phase；If lightning current shielding zinc oxide surge arresters branch road, it is contemplated that the lightning current for flowing into shaft tower through arrester is smaller, is insufficient to allow the insulator chain flashover of non-shielding branch road, so resistance to thunder horizontal amplitude value is equal to the resistance to thunder level of insulator chain of shielding wire.
Figure 671393DEST_PATH_IMAGE063
          （30）.
Numerical model effect analysis
Shaft tower basic parameter such as table 1.
The shaft tower basic parameter of table 1
β gt(μH) β d(μH) β b(μH) β rd1(μH)
14.5 268 168 134
β rd2(μH) R ch(Ω) K c h d（m）
402 7 0.286 15.4
Diverting coefficient is analyzed
Lightning current is taken to attack tower top directlyI=100kA and lightning current shielding wireI=40kA, and using Zinc-Oxide Arrester parameter andC g=850,α=0.1 wave head length uses the 2.6/50 μ s that code is advised.All data are brought into formula flow a, b, result of calculation is as shown in table 2, table 3.
During lightning arrestor movement, and lightning current it is sufficiently large when, arrester can be considered nonlinear resistance, lightning current be more than 0.1kA when, electrical conductivity is about 0.1-1 Ω/cm.So for the arrester on major network, during normal work, its nonlinear resistance is general in 20 more than Ω, and the impedance relative to power transmission line cannot be ignored.So the resistance to thunder level come is obtained under the influence of residual voltage of arrester is not considered can be more than actual conditions.
The lightning current of table 2 attacks tower top Calculation of the shunted current result directly
The lightning current shielding conducting wire splitting coefficient result of calculation of table 3
Figure DEST_PATH_IMAGE103
Note：(β gt) 、(β d) 、(β r)、（β rgt）The diverting coefficient that residual voltage of arrester is calculated is not considered respectively.Precision in calculating processzTake 0.001.
Analytical table 2 it can be found that do not consider residual voltage of arrester influence with consider residual voltage influence when solve come shaft tower diverting coefficient the former be more than the latter, maximum difference up to 1.2 times, and conducting wire splitting coefficient the former then be less than the latter, maximum difference is up to 6.5 times.
Analytical table 3, when lightning current shielding wire, if the wire of thunderbolt zinc oxide surge arresters, being left two branch roads, whether zinc oxide surge arresters are little for the influence of arrester diverting coefficient, only influence shaft tower diverting coefficient.Analysis have consideration residual voltage of arrester influence with do not consider residual voltage influence when, find the latter's arrester diverting coefficient for the former 1.2 times.
Arrester installs impact analysis of the number of phases for resistance to thunder level
The basic parameter of the shaft tower of table 1 is still used, while during resistance to thunder horizontal amplitude value in view of reaching shaft tower when lightning current, the electric current for flowing through arrester is larger, so according to the C-V characteristic of arrester, Cg=800, α=0.15 are taken herein.Take herein simultaneously
Figure 285652DEST_PATH_IMAGE104
, result of calculation is as shown in table 4.
The different resistance to thunder level calculation results of the zinc oxide surge arresters number of phases of table 4
The number of phases is installed 0 1 2 3
I/kA 180 220 230 376
βd 0 0.03 0.06 0.12
βgt 0.88 0.84 0.82 0.76
Ir/kA 23 42 43 43
Note：IResistance to thunder horizontal amplitude value when attacking tower top directly for lightning current,IResistance to thunder horizontal amplitude value when r is thunderbolt wire（It is that zinc oxide surge arresters branch road or three-phase are zinc oxide surge arresters wherein to install the number of phases 0 and represent shielding）.
 
The thunder and lightning of table 5 attacks influence of the different spans of tower top to resistance to thunder level directly
Figure 250066DEST_PATH_IMAGE106
The influence of the resistance to thunder level of the thunderbolt wire of table 6 difference span
Figure 166944DEST_PATH_IMAGE108

Claims (2)

1. a kind of analysis method for the arrester protection effect for considering residual voltage and nonlinear resistance, comprises the following steps：
S1 model constructions
S1-1 thunders and lightnings attack tower top model directly
When thunder and lightning attack directly tower top and leakage conductor action after shaft tower equivalent circuit be：Tower top is equivalent to inductance Lgt series resistances Rch through three groundings in parallel, tie point through shaft tower, second branch road is through the adjacent shelves lightning conducter in both sides, inductance Lb is equivalent to, the 3rd branch road flows through the arrester being connected with wire, is equivalent to 3 leakage conductors in parallel and lead inductance Ld； 
If the contour arrangement of three wire levels,
Figure 308867DEST_PATH_IMAGE002
For total lightning current,
Figure 2012101468607100001DEST_PATH_IMAGE003
、
Figure 799760DEST_PATH_IMAGE004
、
Figure 2012101468607100001DEST_PATH_IMAGE005
Respectively flow through shaft tower enter the electric current on ground, after lightning arrestor movement to the electric current of the adjacent shelves conducting wire splitting in shaft tower both sides, the current distributing of the adjacent shelves lightning conducter in shaft tower both sides；
Figure 347589DEST_PATH_IMAGE006
、
Figure 2012101468607100001DEST_PATH_IMAGE007
、Respectively shaft tower equivalent inductance, unit is μ H, the inductance in parallel value of the adjacent shelves in leakage conductor protection phase conductor shaft tower both sides, the inductance in parallel value of the adjacent shelves lightning conducter in shaft tower both sides；
Figure DEST_PATH_IMAGE009
For
Figure 824761DEST_PATH_IMAGE007
、
Figure 491366DEST_PATH_IMAGE008
Parallel value；
Figure 694814DEST_PATH_IMAGE010
For Tower Impulse Grounding Resistance, unit is Ω；M is leakage conductor；
If lightning current
Figure 317425DEST_PATH_IMAGE002
With oblique angle wave head,
Figure DEST_PATH_IMAGE011
,
Figure 338340DEST_PATH_IMAGE012
For the average gradient of lightning current（kV/μs）,
Figure DEST_PATH_IMAGE013
,
Figure 600563DEST_PATH_IMAGE014
For the wave head length of lightning current, take,
Figure 670019DEST_PATH_IMAGE002
、
Figure 147136DEST_PATH_IMAGE004
Amplitude be respectively、
Figure DEST_PATH_IMAGE017
（kA）Leakage conductor action after residual voltage be
Figure 901521DEST_PATH_IMAGE018
（kV）, α is nonlinear factor, then computing formula is as follows：
                           
Figure DEST_PATH_IMAGE019
                               （1）
                        
Figure 571405DEST_PATH_IMAGE020
                           （2）
                      
Figure DEST_PATH_IMAGE021
                      （3）
                    
Figure 293242DEST_PATH_IMAGE022
                    （4）
                       
Figure DEST_PATH_IMAGE023
                      （5）
Arrange（4）
Figure 655959DEST_PATH_IMAGE024
                    （6）
If
Figure DEST_PATH_IMAGE025
                         （7）
Then
Figure 892775DEST_PATH_IMAGE026
                           （8）
Arrange（5）
Figure DEST_PATH_IMAGE027
                        （9）
Or
Figure 366350DEST_PATH_IMAGE028
                       （10）
By（8）、（9）
Figure DEST_PATH_IMAGE029
                      （11）
In formula,
Figure 490164DEST_PATH_IMAGE030
Shaft tower diverting coefficient when attacking tower top directly for thunder；Leakage conductor is to the diverting coefficient of lightning current when attacking tower top directly for thunder, and n is power transmission line parallel-connection branch number, and wherein n=1/x, x is the number of zinc oxide surge arresters；
S1-2, thunderbolt lead model
When lightning current shielding is on wire, the equivalent circuit after leakage conductor action is：A part of lightning current is flowed through to the side of zinc oxide surge arresters one, the non-side of zinc oxide surge arresters one of part flow direction to ground connection along wire；If：The lightning current of shielding
Figure 23782DEST_PATH_IMAGE032
It is divided into
Figure DEST_PATH_IMAGE033
WithTwo parts；、
Figure 861098DEST_PATH_IMAGE036
Respectively shielding point is to the inductance of leakage conductor section lead, the inductance of shielding point opposite side wire；
Figure 167314DEST_PATH_IMAGE032
、
Figure 481621DEST_PATH_IMAGE033
、
Figure DEST_PATH_IMAGE037
Current amplitude be respectively
Figure 630711DEST_PATH_IMAGE038
、
Figure DEST_PATH_IMAGE039
、, computing formula is as follows；
                                
Figure DEST_PATH_IMAGE041
                         （12）
                           
Figure 997025DEST_PATH_IMAGE042
                    （13）
                                                        （14）
                           
Figure 606867DEST_PATH_IMAGE044
                   （15）
Figure DEST_PATH_IMAGE045
          （16）
                                           （17）
                       
Figure DEST_PATH_IMAGE047
            （18）
Arrange（16）
         （19）
Arrange（17）
               （20）
Arrange（18）
Figure 2186DEST_PATH_IMAGE050
         （21）
If
Figure DEST_PATH_IMAGE051
Then
Figure 48508DEST_PATH_IMAGE052
           （22）
Make again
Arrange（21）、（22）
Figure 906612DEST_PATH_IMAGE054
           （23）
Figure DEST_PATH_IMAGE055
          （24）
Wherein,
Figure 142421DEST_PATH_IMAGE056
Shaft tower diverting coefficient during for lightning current shielding wire；Arrester diverting coefficient during for lightning current shielding wire；M is power transmission line parallel-connection branch number, and wherein m=1/x, x is the number of zinc oxide surge arresters；
S2 analysis and solution model parameter a, b numerical value
1）It can be obtained by formula (8)：
                                            （25）
2）By formula（22）：
Figure DEST_PATH_IMAGE059
                （26）
                    （27）
The resistance to thunder level calculations of S3
It is calculated as follows：
1）Lightning current attacks tower top directly
When circuit 3 is mutually respectively mounted arrester, three phase isolated is protected by the clamping action of arrester, so having：
            （28）
2）Lightning current attacks tower top directly
When circuit only 1 or 2 phase arrester, line lightning resisting level is equal to the resistance to thunder level of non-zinc oxide surge arresters branch road；Therefore non-zinc oxide surge arresters branch insulation substring both end voltage is taken, its numerical value is equal to voltage at tower top, had：
                          
Figure 27310DEST_PATH_IMAGE062
               （29）
3）Lightning current shielding wire
If the non-zinc oxide surge arresters branch road of thunderbolt, resistance to thunder level calculation formula is not installed identical with three-phase；If lightning current shielding zinc oxide surge arresters branch road, it is contemplated that the lightning current for flowing into shaft tower through arrester is smaller, is insufficient to allow the insulator chain flashover of non-shielding branch road, so resistance to thunder horizontal amplitude value is equal to the resistance to thunder level of insulator chain of shielding wire；
Figure DEST_PATH_IMAGE063
          （30）.
2. the analysis method of the arrester protection effect according to claim 1 for considering residual voltage and nonlinear resistance, it is characterized in that：Dichotomy is used during described S2 analysis and solution model parameter a, b numerical value, simplifies calculating a values using computer programming；
Logical thinking：
By formula（8）（10）（11）Understand, when
Figure 925864DEST_PATH_IMAGE064
During more than actual value, a obtained will be less than actual value, while obtained using a values
Figure 939124DEST_PATH_IMAGE064
Actual value will be less than, then the method approached using two sections just can obtain actual a values and realityValue；Consider what residual voltage of arrester was obtained simultaneously
Figure 972993DEST_PATH_IMAGE064
Value is not by less than considering what residual voltage of arrester was obtained
Figure 347343DEST_PATH_IMAGE064
Value, so
Figure 394933DEST_PATH_IMAGE064
The initial value of value is obtained using residual voltage of arrester influence is ignored
Figure 891643DEST_PATH_IMAGE064
Value.
CN2012101468607A 2012-05-14 2012-05-14 Arrester protecting effect analyzing method taking residual voltage and nonlinear resistance into account Pending CN102707166A (en)

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Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN104009440A (en) * 2014-04-22 2014-08-27 国网上海市电力公司 Installation method of line arresters for lighting protection of 10 kV common-tower double-circuit line
CN106709155A (en) * 2016-11-30 2017-05-24 国家电网公司华东分部 Simulation calculation method for electrical power system arrester
CN108897951A (en) * 2018-06-28 2018-11-27 云南电网有限责任公司保山供电局 Arrester nonlinear wind vibration " turn point " and its " bending coefficient " approximating method
CN110161304A (en) * 2019-05-27 2019-08-23 国网浙江省电力有限公司电力科学研究院 A kind of multiple thunder acts on the calculation method of lower leakage conductor absorption energy and residual voltage
CN112072555A (en) * 2020-09-11 2020-12-11 云南电网有限责任公司带电作业分公司 Working method for live installation of 35kV overhead line lightning arrester

Cited By (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN104009440A (en) * 2014-04-22 2014-08-27 国网上海市电力公司 Installation method of line arresters for lighting protection of 10 kV common-tower double-circuit line
CN106709155A (en) * 2016-11-30 2017-05-24 国家电网公司华东分部 Simulation calculation method for electrical power system arrester
CN108897951A (en) * 2018-06-28 2018-11-27 云南电网有限责任公司保山供电局 Arrester nonlinear wind vibration " turn point " and its " bending coefficient " approximating method
CN110161304A (en) * 2019-05-27 2019-08-23 国网浙江省电力有限公司电力科学研究院 A kind of multiple thunder acts on the calculation method of lower leakage conductor absorption energy and residual voltage
CN110161304B (en) * 2019-05-27 2021-07-06 国网浙江省电力有限公司电力科学研究院 Method for calculating absorbed energy and residual voltage of line arrester under action of multiple lightning
CN112072555A (en) * 2020-09-11 2020-12-11 云南电网有限责任公司带电作业分公司 Working method for live installation of 35kV overhead line lightning arrester

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