CN109521333A

CN109521333A - The multiple-circuit on same tower Characteristic of Lightning Shielding Failure analysis method of shielding action between meter and conducting wire

Info

Publication number: CN109521333A
Application number: CN201810304556.8A
Authority: CN
Inventors: 唐凯; 保承家; 姜文东; 谷山强; 苏杰; 刘岩; 万家伟; 任华; 雷梦飞; 章涵
Original assignee: Wuhan NARI Ltd; State Grid Zhejiang Electric Power Co Ltd; Maintenace Co of State Grid Anhui Electric Power Co Ltd
Current assignee: Wuhan NARI Ltd; State Grid Zhejiang Electric Power Co Ltd; Maintenace Co of State Grid Anhui Electric Power Co Ltd
Priority date: 2018-04-08
Filing date: 2018-04-08
Publication date: 2019-03-26

Abstract

The present invention provides the multiple-circuit on same tower Characteristic of Lightning Shielding Failure analysis method of shielding action between meter and conducting wire, electric geometry method based on the analysis of multiple-circuit on same tower Characteristic of Lightning Shielding Failure, conducting wire exposed range, conducting wire are calculated in different exposed range lower critical lightning currents, conducting wire shielding flashover strike, by lightning current size divide 4 kinds of situations to based on and between conducting wire the multiple-circuit on same tower Characteristic of Lightning Shielding Failure of shielding action analyze.The analysis method considers existing mutual shielding shielding action between conducting wire, the multiple-circuit on same tower Characteristic of Lightning Shielding Failure analysis model for establishing mutual shielding action between considering phase conductor is effective supplement to the existing Characteristic of Lightning Shielding Failure method for calculating multi-circuit lines on the same tower.

Description

The multiple-circuit on same tower Characteristic of Lightning Shielding Failure analysis method of shielding action between meter and conducting wire

Technical field

The invention belongs to transmission line of electricity anti-thunder technical fields, more particularly to the resistance to thunder of shielding of same tower double back transmission line The multiple-circuit on same tower Characteristic of Lightning Shielding Failure analysis method of shielding action between energy analysis field more particularly to a kind of meter and conducting wire.

Background technique

Overhead transmission line be power grid construction basis, since overhead transmission line is distributed in field, be continuous it is thousands of in, passed through Regional topography and geomorphology is intricate, and geographical conditions and meteorological condition are also varied, easily causes failure by lightning stroke, and lightning stroke is The main factor for causing transmission line of electricity to trip, lightning stroke route cause electric network fault to be always to perplex system stable operation and safety The problem of power supply.China's power system development is rapid, and power system capacity increases year by year, and rack is closer and closer, and overhead line structures are increasingly Height, transmission line of electricity trip accident caused by being struck by lightning is also increasing, how to prevent and reduce lightning stroke route damage caused by power grid Evil, is the Important Problems that power network safety operation must be taken into consideration.

Currently, the method for research route shielding performance mainly has with China power industry standard DL/T620-1997 " exchange The overvoltage protection and Insulation Coordination of electric device " Characteristic of Lightning Shielding Failure is calculated as the empirical model represented, i.e. regular method；With electricity Gas geometrical model (EGM) is the semiempirical model of representative, i.e., classical electric geometry method and improved EGM；With thunder and lightning The leader propagation model (LPM) that development mechanism is derived, the fractal method and shielding to grow up on the basis of first inducing defecation by enema and suppository are general Rate model etc..

Regular method thinks that thunder and lightning attacks the probability of conducting wire and shielding angle, the shaft tower of lightning conducter opposite side phase conductor directly around lightning conducter Height and route institute are related through factors such as regional topography and geomorphology, geological conditions, unrelated with amplitude of lightning current.It will in regular method Route through area topography and geomorphology be simply divided into two class of Plain and mountain area, the risk of shielding failure of route under different terrain conditions It is as follows with the relationship of shielding angle and the family of shaft tower height three:

Plain route:

Mountain route:

In formula, α is the shielding angle (°) of lightning conducter opposite side phase conductor；H is shaft tower height (m)；Pa is route thunderbolt Rate.

Electric geometry method is to connect the structure size of the flash-over characteristic of thunder and lightning and route and establish a kind of several What analysis calculation method, the basic principle is that: the pilot discharge channel head developed to the ground by thundercloud reaches and is hit object Critical striking distance-is hit away from former, and it is a little uncertain for hitting, and first reaches hitting away within for which object, i.e., puts to the object Electricity.Hit away from size and the current potential on guide head it is related thus related with the charge in leader channel, the latter determines thunder and lightning again The amplitude of stream.Therefore, it hits away from r and amplitude of lightning current I_mThere is direct relation, and it is unrelated with other factors, and W ' S EGM assumes guide To hitting away from equal for shaft tower, lightning conducter, conducting wire and the earth.

First inducing defecation by enema and suppository calculates the sense of object on ground using the method for analysis of electric field by charge simulation descending leader channel Voltage or electric field are answered, after object reaches the critical initial conditions of upward leader on ground, ground object generates upward leader, first The developing direction led is the maximum direction of electric field.Sky when electric field reaches breakdown condition, between descending leader and upward leader Between gap puncture, formed lightning stroke.Therefore the thunderbolt failure analysis of transmission line of electricity approximate can use horizontal conductor structure It is analyzed.According to first inducing defecation by enema and suppository basic principle, shielding flashover strike calculated result mainly by simulation descending leader channel charge model, The criterion of the generation of the uplink and downlink guide speed of development, the direction of motion of uplink and downlink guide, upward leader and breakdown sentence away from It influences.

Point shape pilot model analyzes the influence to leader development model such as different fractal parameters, random factor, solves Fractal Simulation of having determined is applied to the starting of the upward leader in transmission line of electricity lightning protection criterion, relationship and FRACTAL DIMENSION with amplitude of lightning current The major issues such as several calculating and control, while by being compared with thunder discharge in nature and simulation result, it obtains The conclusion for using fractal coefficient to be most consistent for 2 model with actual conditions.

Thunderbolt probabilistic model uses stick-sheet separation structural simulation lightning stroke process final stage, is powered on using long stick Extremely simulate the descending leader close to last transition.The model can calculate located space by the transmission line of electricity of arbitrary structures parameter Shielding probability distribution, and successfully illustrate that classical electrical geometric method is difficult to the field accident reason explained, but should Model is built upon on the basis of laboratory simulation test, and practical application waits further to study.

Summary of the invention

The technical problems to be solved by the present invention are: solving existing electric geometry method (EGM) is calculating multiple-loop line line When the Characteristic of Lightning Shielding Failure on road, the problem of having ignored the mutual shielding action between phase conductor.

To achieve the goals above, The technical solution adopted by the invention is as follows:

The multiple-circuit on same tower Characteristic of Lightning Shielding Failure analysis method of shielding action between meter and conducting wire, which is characterized in that be based on The electric geometry method of multiple-circuit on same tower Characteristic of Lightning Shielding Failure analysis, to conducting wire exposed range, conducting wire in different exposed ranges Lower critical lightning current, conducting wire shielding flashover strike are calculated, and formula is based onWherein S_FFORC For shielding probability of flashover, N_gFor CG lightning density, I_cmaxFor maximum shielding lightning current, I_cFor the resistance to Lei Shuiping of shielding, Z is exposed range, P (I) is amplitude of lightning current cumulative probability density function, divides 4 kinds of situation shielding actions to based on and between conducting wire by lightning current size Multiple-circuit on same tower Characteristic of Lightning Shielding Failure is analyzed, and the analysis method includes:

(1) it is based on same tower double back transmission line EGM model, calculates the exposed range of each phase conductor；

(2) according to the calculated result of exposed range, corresponding critical lightning current is calculated；

(3) according to the segmentation calculation formula of each phase conductor exposed range, in conjunction with different segmentation exposed ranges under corresponding it is upper, The critical amplitude of lightning current of lower limit calculates the shielding probability of flashover of each phase conductor.

Further, it is based on same tower double back transmission line EGM model, calculates the exposed range of each phase conductor, wherein upper phase The exposed range of conducting wire calculates

(1) situation 1: lightning current is smaller, and ground wire, which is hit, to be hit away from circle ⊙ S and upper phase conductor away from circle ⊙ C₁There is no intersection points, or deposit In intersection point P₁And P₁Point ordinate y_P1The vertical tangent point S away from circle ⊙ S is hit less than ground wire₁Ordinate y_P1<y_S1；It is mutually led in simultaneously Line is hit away from circle ⊙ C₂It hits with upper phase conductor away from circle ⊙ C₁Without intersection point, or there are intersection point P₂And P₂Point ordinate y_P2Less than upper phase conductor It hits away from circle ⊙ C₁Vertical tangent point D₁Ordinate y_P2<y_D1；In addition it is hit over the ground away from r_gLess than D₁The ordinate r of point_g<y_D1, i.e. y_P1< y_S1、y_P2<y_D1、r_g<y_D1When, upper phase conductor C₁Exposed range Z₁₁:

Z₁₁=x_D1-x_S1=d₁sinθ₁+r_C1-r_s

In formula, x_D1For D₁Point abscissa, x_S1For S₁Point abscissa, d₁For ⊙ S and ⊙ C₁Distance, θ₁For ⊙ S point vertical line with ⊙ S to ⊙ C₁Between line angle, r_c1For conducting wire C₁Hit away from r_sFor ground wire hit away from；

y_P1<y_S1、y_P2<y_D1、r_g>y_D1When, upper phase conductor C₁Exposed range Z₁₂:

In formula, x_E1For E₁Point abscissa, r_gTo be hit over the ground away from h_c1For conducting wire C₁Distance away the ground；

(2) situation 2: lightning current is larger, and ground wire, which is hit, to be hit away from circle ⊙ S and upper phase conductor away from circle ⊙ C₁There are intersection point P₁And P₁Point Ordinate y_P1Meet y_P1>y_S1；Phase conductor is hit away from circle ⊙ C in simultaneously₂It hits with upper phase conductor away from circle ⊙ C₁Without intersection point, or there are intersection points P₂And P₂Point ordinate y_P2It hits less than upper phase conductor away from circle ⊙ C₁Vertical tangent point D₁Ordinate y_P2<y_D1；In addition it is hit over the ground away from r_gIt is small In D₁Point ordinate r_g<y_D1, i.e. y_P1>y_S1、 y_P2<y_D1、r_g<y_D1When, upper phase conductor C₁Exposed range Z₁₃:

In formula, x_P1For P₁Point abscissa.

y_P1>y_S1、y_P2<y_D1、r_g>y_D1When, upper phase conductor C₁Exposed range Z₁₄:

In formula, x_E1For E₁Point abscissa；

(3) situation 3: lightning current is larger, and ground wire, which is hit, to be hit away from circle ⊙ S and upper phase conductor away from circle ⊙ C₁There are intersection point P₁And P₁Point Ordinate y_P1Meet y_P1<y_S1；Phase conductor is hit away from circle ⊙ C in simultaneously₂It hits with upper phase conductor away from circle ⊙ C₁There are intersection point P₂And P₂Point Ordinate y_P2Greater than D₁Point ordinate y_P2>y_D1, in addition hit over the ground away from r_gLess than D₁Point ordinate r_g<y_D1, i.e. y_P1<y_S1、y_P2> y_D1、r_g<y_D1When, upper phase conductor C₁Exposed range Z₁₅:

In formula, x_P2For P₂Point abscissa, θ₂For ⊙ C₁Point vertical line and ⊙ C₁To ⊙ C₂Between line angle, r_c2For conducting wire C₂ Hit away from d₂For ⊙ C₁With ⊙ C₂Between distance；

y_P1<y_S1、y_P2>y_D1、r_g>y_P2When, upper phase conductor C₁Exposed range Z₁₆:

(4) situation 4: lightning current continues to increase, and ground wire, which is hit, to be hit away from circle ⊙ S and upper phase conductor away from circle ⊙ C₁There are intersection point P₁And P₁Point ordinate y_P1Meet y_P1>y_S1；Phase conductor is hit away from circle ⊙ C in simultaneously₂It hits with upper phase conductor away from circle ⊙ C₁There are intersection point P₂And P₂ Point ordinate y_P2Greater than D₁Point ordinate y_P2>y_D1；In addition it is hit over the ground away from r_gLess than P₂Point ordinate r_g<y_P2, i.e. y_P1>y_S1、y_P2> y_D1、r_g<y_P2When, upper phase conductor C₁Exposed range Z₁₇:

y_P1>y_S1、y_P2>y_D1、r_g>y_P2When, upper phase conductor C₁Exposed range Z₁₈:

Further, it is based on same tower double back transmission line EGM model, calculates the exposed range of each phase conductor, wherein middle phase The exposed range of conducting wire calculates

(1) situation 1: lightning current is smaller, and upper phase conductor is hit away from circle ⊙ C₁It hits with middle phase conductor away from circle ⊙ C₂There is no intersection point, Or there are intersection point P₂And P₂Point ordinate y_P2It hits less than upper phase conductor away from circle ⊙ C₁Vertical tangent point D₁Ordinate y_P2<y_D1；Together At present phase conductor is hit away from circle ⊙ C₃It hits with middle phase conductor away from circle ⊙ C₂Without intersection point, or there are intersection point P₃And P₃Point ordinate y_P3It is less than Middle phase conductor is hit away from circle ⊙ C₂Vertical tangent point D₂Ordinate y_P3<y_D2；In addition it is hit over the ground away from r_gLess than D₂The ordinate r of point_g< y_D2, i.e. y_P2<y_D1、y_P3<y_D2、r_g<y_D2When, middle phase conductor C₂Exposed range Z₂₁:

Z₂₁=x_D2-x_D1=d₂sinθ₂+r_C2-r_C1

In formula, x_D2For D₂Point abscissa；

y_P2<y_D1、y_P3<y_D2、r_g>y_D2When, middle phase conductor C₂Exposed range Z₂₂:

In formula, x_E2For E₂Point abscissa, h_c2For conducting wire C₂Distance away the ground；

(2) situation 2: lightning current is larger, and upper phase conductor is hit away from circle ⊙ C₁It hits with middle phase conductor away from circle ⊙ C₂There are intersection point P₂And P₂Point ordinate y_P2Meet y_P2>y_D1；It hits with phase conductor at present away from circle ⊙ C₃It hits with middle phase conductor away from circle ⊙ C₂Without intersection point, or exist Intersection point P₃And P₃Point ordinate y_P3It hits less than middle phase conductor away from circle ⊙ C₂Vertical tangent point D₂Ordinate y_P3<y_D2；In addition it hits over the ground Away from r_gLess than D₂Point ordinate r_g<y_D2, i.e. y_P2>y_D1、y_P3<y_D2、r_g<y_D2When, middle phase conductor C₂Exposed range Z₂₃:

y_P2>y_D1、y_P3<y_D2、r_g>y_D2When, middle phase conductor C₂Exposed range Z₂₄:

(3) situation 3: lightning current is larger, and upper phase conductor is hit away from circle ⊙ C₁It hits with middle phase conductor away from circle ⊙ C₂There are intersection point P₂And P₂Point ordinate y_P2Meet y_P2<y_D1；It hits with phase conductor at present away from circle ⊙ C₃It hits with middle phase conductor away from circle ⊙ C₂There are intersection point P₃And P₃ Point ordinate y_P3Greater than D₂Point ordinate y_P3>y_D2, in addition hit over the ground away from r_gLess than D₂Point ordinate r_g<y_D2, i.e. y_P2<y_D1、y_P3> y_D2、r_g<y_D2When, middle phase conductor C₂Exposed range Z₂₅:

In formula, x_P3For P₃Point abscissa, θ₃For ⊙ C₂Point vertical line and ⊙ C₂To ⊙ C₃Between line angle, r_c3For conducting wire C₃ Hit away from d₃For ⊙ C₂With ⊙ C₃Between distance；

y_P2<y_D1、y_P3>y_D2、r_g>y_D2When, middle phase conductor C₂Exposed range Z₂₆:

In formula, x_E2For E₂Point abscissa；

(4) situation 4: lightning current continues to increase, and upper phase conductor is hit away from circle ⊙ C₁It hits with middle phase conductor away from circle ⊙ C₂There are friendships Point P₂And P₂Point ordinate y_P2Meet y_P2>y_D1；It hits with phase conductor at present away from circle ⊙ C₃It hits with middle phase conductor away from circle ⊙ C₂There are friendships Point P₃And P₃Point ordinate y_P3Greater than D₂Point ordinate y_P3>y_D2；In addition it is hit over the ground away from r_gLess than P₃Point ordinate r_g<y_P3, i.e. y_P2> y_D1、y_P3>y_D2、r_g<y_P3When, middle phase conductor C₂Exposed range Z₂₇:

In formula, x_P3For P₃Point abscissa；

y_P2>y_D1、y_P3>y_D2、r_g>y_P3When, middle phase conductor C₂Exposed range Z₂₈:

Further, it is based on same tower double back transmission line EGM model, calculates the exposed range of each phase conductor, wherein lower phase The exposed range of conducting wire calculates

(1) situation 1: lightning current is smaller, and middle phase conductor is hit away from circle ⊙ C₂It hits with lower phase conductor away from circle ⊙ C₃There is no intersection point, Or there are intersection point P₃And P₃Point ordinate y_P3It hits less than middle phase conductor away from circle ⊙ C₂Vertical tangent point D₂Ordinate y_P3<y_D2； In addition it is hit over the ground away from r_gIt hits less than lower phase conductor away from circle ⊙ C₃Vertical tangent point D₃Ordinate r_g<y_D3, i.e. y_P3<y_D2、r_g<y_D3 When, lower phase conductor C₃Exposed range Z₃₁:

Z₃₁=x_D3-x_D2=d₃sinθ₃+r_C3-r_C2

In formula, x_D3For D₃Point abscissa, x_D2For D₂Point abscissa；

y_P3<y_D2、r_g>y_D3When, lower phase conductor C₃Exposed range Z₃₂:

In formula, x_E3For E₃Point abscissa, h_c3For conducting wire C₃Distance away the ground；

(2) situation 2: lightning current is larger, and middle phase conductor is hit away from circle ⊙ C₂It hits with lower phase conductor away from circle ⊙ C₃There are intersection point P₃And P₃Point ordinate y_P3Meet y_P3>y_D2；In addition it is hit over the ground away from r_gLess than D₃Point ordinate r_g<y_D3, i.e. y_P3>y_D2、r_g<y_D3When, under Phase conductor C₃Exposed range Z₃₃:

In formula, x_P3For P₃Point abscissa；

y_P3>y_D2、r_g>y_D3When, lower phase conductor C₃Exposed range Z₃₄:

Further, according to the calculated result of exposed range, corresponding critical lightning current is calculated, comprising:

(1) the critical thunder and lightning stream calculation of phase conductor on:

Upper phase conductor C₁One of critical lightning current I_C11:

It solves equation and phase conductor C can be obtained₁One of critical lightning current I_C11；

Upper phase conductor C₁Another critical lightning current I_C12:

It solves equation and phase conductor C can be obtained₁Another critical lightning current I_C12；

Upper phase conductor C₁Critical lightning current I_C13:

r_g=h_C1

It solves equation to obtain phase conductor C₁One of critical lightning current I_C13；

Upper phase conductor C₁Critical lightning current I_C14:

It solves equation and phase conductor C can be obtained₁Another critical lightning current I_C14；

Upper phase conductor C₁Maximum shielding lightning current I_C1M1:

It solves equation and phase conductor C can be obtained₁Maximum shielding lightning current I_C1M1；

Upper phase conductor C₁Maximum shielding lightning current I_C1M2:

It solves equation and phase conductor C can be obtained₁Maximum shielding lightning current I_C1M2；

Upper phase conductor C₁Maximum shielding lightning current I_C1M3:

It solves equation and phase conductor C can be obtained₁Maximum shielding lightning current I_C1M3；

(2) the critical thunder and lightning stream calculation of phase conductor in:

Middle phase conductor C₂Critical lightning current I_C21:

It solves equation and middle phase conductor C can be obtained₂One of critical lightning current I_C21；

Middle phase conductor C₂Critical lightning current I_C22:

It solves equation and middle phase conductor C can be obtained₂Another critical lightning current I_C22；

Middle phase conductor C₂Critical lightning current I_C23:

r_g=h_C2

It solves equation to obtain middle phase conductor C₂One of critical lightning current I_C23；

Middle phase conductor C₂Another critical lightning current I_C24:

It solves equation and middle phase conductor C can be obtained₂Another critical lightning current I_C24；

Middle phase conductor C₂Maximum shielding lightning current I_C2M1:

It solves equation and middle phase conductor C can be obtained₂Maximum shielding lightning current I_C2M1；

Middle phase conductor C₂Maximum shielding lightning current I_C2M2:

It solves equation and middle phase conductor C can be obtained₂Maximum shielding lightning current I_C2M2；

Middle phase conductor C₂Maximum shielding lightning current I_C2M3:

It solves equation and middle phase conductor C can be obtained₂Maximum shielding lightning current I_C2M3；

(3) the critical thunder and lightning stream calculation of phase conductor under

Lower phase conductor C₃Critical lightning current I_C31:

It solves equation and lower phase conductor C can be obtained₃One of critical lightning current I_C31；

Lower phase conductor C₃One of critical lightning current I_C32:

It solves equation and lower phase conductor C can be obtained₃One of critical lightning current I_C32；

Lower phase conductor C₃Maximum shielding lightning current I_C3M1:

It solves equation and lower phase conductor C can be obtained₃Maximum shielding lightning current I_C3M1；

Lower phase conductor C₃Maximum shielding lightning current I_C3M2:

It solves equation and lower phase conductor C can be obtained₃Maximum shielding lightning current I_C3M2；

Lower phase conductor C₃Maximum shielding lightning current I_C3M3:

It solves equation and lower phase conductor C can be obtained₃Maximum shielding lightning current I_C3M3。

Further, corresponding in conjunction with different segmentation exposed ranges according to the segmentation calculation formula of each phase conductor exposed range Under the critical amplitude of lightning current of upper and lower limit, calculate the shielding probability of flashover of each phase conductor, comprising:

(1) phase conductor shielding flashover strike on

According to the horizontal I of the resistance to thunder of shielding_cAnd upper each critical lightning current I of phase conductor_C11、I_C12、I_C13、I_C14Relative size and most Big shielding lightning current I_C1M3, exposed range Z is respectively segmented to upper phase conductor in formula₁The critical lightning current of the upper and lower limit of integral is determining and total Shielding flashover strike calculation formula is as follows:

1)I_C<I<I_C11<I_C12<I_C13When, upper phase conductor shielding flashover strike S_FFOR11:

In formula, N_gFor CG lightning density, p (I) is amplitude of lightning current cumulative probability density function；

I_C<I<I_C11<I_C12、I_C13<I_C11When, upper phase conductor shielding flashover strike s '_FFOR11:

2)I_C11<I<I_C12<I_C13When, upper phase conductor shielding flashover strike S_FFOR12:

I_C11<I<I_C12, I_C13<I_C12When, upper phase conductor shielding flashover strike s '_FFOR12:

3)I_C12<I<I_C11<I_C14When, upper phase conductor shielding flashover strike S_FFOR13:

I_C12<I<I_C11, I_C14<I_C11When, upper phase conductor shielding flashover strike s '_FFOR13:

4)I_C11<I_C12When < I, upper phase conductor shielding flashover strike S_FFOR14:

I_C12<I_C11When < I: upper phase conductor shielding flashover strike s '_FFOR14

The total shielding flashover strike calculation formula of upper phase conductor:

a)S_FFORC1=S_FFOR11+S_FFOR12+S_FFOR14

b)

c)

d)S”'_FFORC1=S_FFOR13+S'_FFOR14

e)

I_C<I<I_C11<I_C12, I_C11>I_C1M1, I_C12>I_C13When:

f)

I_C<I<I_C11<I_C12, I_C11>I_C1M1, I_C12<I_C13When:

g)

Last integral upper limit be_IC1M2When:

h) i)

(2) phase conductor shielding flashover strike in

1)I_C<I<I_C21<I_C22<I_C23When, middle phase conductor shielding flashover strike S_FFOR21:

I_C<I<I_C21<I_C22、I_C23<I_C21When, middle phase conductor shielding flashover strike s '_FFOR21:

2)I_C21<I<I_C22<I_C23When, middle phase conductor shielding flashover strike S_FFOR22:

I_C21<I<I_C22, I_C23<I_C22When, middle phase conductor shielding flashover strike s '_FFOR22:

3)I_C22<I<I_C21<I_C24When, middle phase conductor shielding flashover strike S_FFOR23:

I_C22<I<I_C21, I_C24<I_C21, middle phase conductor shielding flashover strike s '_FFOR23When:

4)I_C21<I_C22When < I, middle phase conductor shielding flashover strike S_FFOR24:

I_C22<I_C21When < I, middle phase conductor shielding flashover strike s '_FFOR24:

The total shielding flashover strike calculation formula of middle phase conductor:

a)S_FFORC2=S_FFOR21+S_FFOR22+S_FFOR24

b)

c)

d)S”'_FFORC2=S_FFOR23+S'_FFOR24

e)

I_C<I<I_C21<I_C22, I_C21>I_C2M1, I_C22>I_C23When:

f)

I_C<I<I_C21<I_C22, I_C21>I_C2M1, I_C22<I_C23When:

g)

Last integral upper limit be_IC2M2When:

h) i)

(3) phase conductor shielding flashover strike under

1)I_C<I<I_C31<I_C32When, lower phase conductor shielding flashover strike S_FFOR31:

I_C<I<I_C32<I_C31, lower phase conductor shielding flashover strike s '_FFOR31:

2)I_C31<I<I_C32When, lower phase conductor shielding flashover strike S_FFOR32:

I_C31<I_C32When < I, lower phase conductor shielding flashover strike s '_FFOR32:

The total shielding flashover strike calculation formula of lower phase conductor:

a)S_FFORC3=S_FFOR31+S_FFOR32+S'_FFOR32

b)

I_C31>I_C32, I_C31>I_C3M1, I_C3M1>I_C32When:

c)

Last integral upper limit be_IC3M2When:

d)

Compared with prior art, the beneficial effects of the present invention are:

(1) it is provided by the invention meter and conducting wire between shielding action multiple-circuit on same tower Characteristic of Lightning Shielding Failure analysis method, This method considers mutual shielding action between phase conductor in multiple-circuit on same tower in calculating, and it is sudden and violent to calculate conducting wire more accurately Dew distance, conducting wire analyze same tower in different exposed range lower critical lightning currents and conducting wire shielding flashover strike more fully hereinafter Double-circuit line Lightning performance improves and improves the considerations of multiple-circuit on same tower Lightning performance is analyzed range and accuracy.

(2) analysis method considers existing mutual shielding shielding action between conducting wire, establishes consideration phase conductor Between mutually shielding action multiple-circuit on same tower Characteristic of Lightning Shielding Failure analysis model, be to it is existing calculate multi-circuit lines on the same tower around Hit effective supplement of Lightning performance method.

(3) the transmission line of electricity shielding EGM analytic approach of the considerations of this method uses ground elevation, introduces in EGM and first imports The influence of firing angle, it is contemplated that the lightning stroke conducting wire actually occurred or ground, usually there are a clamps with vertical direction for lightning leader Angle, and only consider vertical incidence, still there is a phenomenon where shieldings for route when no method interpretation negative shielding angle, compared with conventional electrical geometry Model can more accurately reflect thunder and lightning and develop physical process.

Detailed description of the invention

Fig. 1 is multiple-circuit on same tower Characteristic of Lightning Shielding Failure analysis method flow chart of the invention.

Fig. 2 is same tower double back transmission line EGM model in the present invention.

Fig. 3 is that upper phase exposed range calculates schematic diagram under situation (1).

Fig. 4 is that upper phase exposed range calculates schematic diagram under situation (2).

Fig. 5 is that upper phase exposed range calculates schematic diagram under situation (3).

Fig. 6 is that upper phase exposed range calculates schematic diagram under situation (4).

Fig. 7 is that middle phase exposed range calculates schematic diagram under situation (1).

Fig. 8 is that middle phase exposed range calculates schematic diagram under situation (2).

Fig. 9 is that middle phase exposed range calculates schematic diagram under situation (3).

Figure 10 is that middle phase exposed range calculates schematic diagram under situation (4).

Figure 11 is that the lower phase exposed range of situation (1) calculates schematic diagram.

Figure 12 is that the lower phase exposed range of situation (2) calculates schematic diagram.

Figure 13 is upper phase maximum shielding thunder and lightning stream calculation schematic diagram.

Figure 14 is middle phase maximum shielding thunder and lightning stream calculation schematic diagram.

Figure 15 is lower phase maximum shielding thunder and lightning stream calculation schematic diagram.

Specific embodiment

With reference to the accompanying drawing and specific example is illustrated technical solution of the present invention.But the present invention should not only be limited Within the example ranges.

As shown in Figure 1, a kind of be used for multiple-circuit on same tower Characteristic of Lightning Shielding Failure analysis method.Analysis method is based on double with tower Based on the electric geometry method (as shown in Fig. 2) of loop line road Characteristic of Lightning Shielding Failure analysis, exist to conducting wire exposed range, conducting wire Different exposed range lower critical lightning currents, conducting wire shielding flashover strike are calculated.Based on formulaWherein S_FFORCFor shielding probability of flashover, N_gFor CG lightning density, I_cmaxFor maximum shielding thunder Electric current, I_cIt is exposed range for the resistance to Lei Shuiping of shielding, Z, p (I) is amplitude of lightning current cumulative probability density function.It is big by lightning current Small point of 4 kinds of situations analyze the multiple-circuit on same tower Characteristic of Lightning Shielding Failure of shielding action between meter and conducting wire, are respectively as follows: basic Steps are as follows:

Each phase conductor exposed range is calculated for the first time.The present invention is according to each phase conductor relative position of multiple-circuit on same tower Relationship is divided into four kinds of situations away from radius of circle and striking distance factor to the exposed range of conducting wire according to hitting under different lightning current sizes It is calculated.

Upper phase conductor exposed range calculates.

According to each phase conductor relative positional relationship of multiple-circuit on same tower, upper phase conductor exposure arc is hit by ground wire away from circle, middle phase Conducting wire hits to hit away from circle and the earth and determine away from three, according to hitting away from radius of circle and striking distance factor under different lightning current sizes, upper phase The calculating of conducting wire exposed range is divided into following four situation:

(1) lightning current is smaller, and ground wire, which is hit, to be hit away from circle ⊙ S and upper phase conductor away from circle ⊙ C₁There is no intersection points, or there are intersection point P₁ And P₁Point ordinate y_P1The vertical tangent point S away from circle ⊙ S is hit less than ground wire₁Ordinate y_P1<y_S1；Simultaneously in phase conductor hit away from Circle ⊙ C₂It hits with upper phase conductor away from circle ⊙ C₁Without intersection point, or there are intersection point P₂And P₂Point ordinate y_P2It hits less than upper phase conductor away from circle ⊙C₁Vertical tangent point D₁Ordinate y_P2<y_D1；In addition it hits over the ground and is less than D away from rg₁Ordinate rg < y of point_D1, i.e. y_P1<y_S1、y_P2< y_D1、rg<y_D1When (attached drawing 3 (a)), upper phase conductor C₁Exposed range Z₁₁:

Z₁₁=x_D1-x_S1

Wherein, x_D1=a_C1+r_C1=a_S+d₁sinθ₁+r_C1

x_S1=a_S+r_S

Then: Z₁₁=x_D1-x_S1=d₁sinθ₁+r_C1-r_s

Ground wire, which is hit, to be hit away from circle ⊙ S and upper phase conductor away from circle ⊙ C₁There is no intersection points, or there are intersection point P₁And P₁Point ordinate y_P1The vertical tangent point S away from circle ⊙ S is hit less than ground wire₁Ordinate y_P1<y_S1；Phase conductor is hit away from circle ⊙ C in simultaneously₂It is led with upper phase Line is hit away from circle ⊙ C₁Without intersection point, or there are intersection point P₂And P₂Point ordinate y_P2It hits less than upper phase conductor away from circle ⊙ C₁Vertical tangent point D₁Ordinate y_P2<y_D1；In addition it is hit over the ground away from r_gGreater than D₁The ordinate r of point_g>y_D1, i.e. y_P1<y_S1、y_P2<y_D1、r_g>y_D1When it is (attached Fig. 3 (b)), at this time in phase conductor C₂With lower phase conductor C₃Exposed range is zero, only upper phase conductor C₁Exposure arc exists, upper phase conductor C₁Exposed range Z₁₂:

Z₁₂=x_E1-x_S1

Wherein, E₁Point hits for the earth away from r_gIt hits with upper phase conductor away from circle ⊙ C₁Intersection point and have:

By phase conductor C on Shi Ke get₁Exposed range Z₁₂:

(2) lightning current is larger, and ground wire, which is hit, to be hit away from circle ⊙ S and upper phase conductor away from circle ⊙ C₁There are intersection point P₁And P₁Point ordinate y_P1Meet y_P1>y_S1；Phase conductor is hit away from circle ⊙ C in simultaneously₂It hits with upper phase conductor away from circle ⊙ C₁Without intersection point, or there are intersection point P₂And P₂ Point ordinate y_P2It hits less than upper phase conductor away from circle ⊙ C₁Vertical tangent point D₁Ordinate y_P2<y_D1；In addition it is hit over the ground away from r_gLess than D₁ Point ordinate r_g<y_D1, i.e. y_P1>y_S1、y_P2<y_D1、 r_g<y_D1When (attached drawing 4 (a)), upper phase conductor C₁Exposed range Z₁₃:

Z₁₃=x_D1-x_P1

Simultaneous ground wire, which hits to hit away from circle ⊙ S equation and upper phase conductor, obtains equation group away from circle ⊙ C1 equation:

In formula, aC1=aS+d1sin θ 1, hC1=hS-d1cos θ 1.

For the solution procedure of reduced equation group, coordinate system as shown in the figure is translated, to aS unit length of right translation, HS unit length is translated up again, i.e., original coordinate origin is moved at ground wire S point, obtains P1 point abscissa in solution The abscissa xP1 of the P1 point in former coordinate system is obtained further according to coordinate system translation relation afterwards, it may be assumed that

In formula,

By phase conductor C on Shi Ke get₁Exposed range Z₁₃:

Ground wire, which is hit, to be hit away from circle ⊙ S and upper phase conductor away from circle ⊙ C₁There are intersection point P₁And P₁Point ordinate y_P1Meet y_P1>y_S1； Phase conductor is hit away from circle ⊙ C in simultaneously₂It hits with upper phase conductor away from circle ⊙ C₁Without intersection point, or there are intersection point P₂And P₂Point ordinate y_P2It is small It hits in upper phase conductor away from circle ⊙ C₁Vertical tangent point D₁Ordinate y_P2<y_D1；In addition it is hit over the ground away from r_gGreater than D₁Point ordinate r_g>y_D1, That is y_P1>y_S1、y_P2<y_D1、r_g>y_D1When (attached drawing 4 (b)), at this time in phase conductor C₂With lower phase conductor C₃Exposed range is zero, only on Phase conductor C₁Exposure arc exists, upper phase conductor C₁Exposed range Z₁₄:

Z₁₄=x_E1-x_P1

By phase conductor C on Shi Ke get₁Exposed range Z₁₄:

(3) lightning current is larger, and ground wire, which is hit, to be hit away from circle ⊙ S and upper phase conductor away from circle ⊙ C₁There are intersection point P₁And P₁Point ordinate y_P1Meet y_P1<y_S1；Phase conductor is hit away from circle ⊙ C in simultaneously₂It hits with upper phase conductor away from circle ⊙ C₁There are intersection point P₂And P₂Point ordinate y_P2Greater than D₁Point ordinate y_P2>y_D1, in addition hit over the ground away from r_gLess than D₁Point ordinate r_g<y_D1, i.e. y_P1<y_S1、y_P2>y_D1、r_g<y_D1 When (attached drawing 5 (a)), upper phase conductor C₁Exposed range Z₁₅:

Z₁₅=x_P2-x_S1

Phase conductor is hit away from circle ⊙ C on simultaneous₁Equation and middle phase conductor are hit away from circle ⊙ C₂Equation obtains equation group:

In formula, a_C2=a_C1+d₂sinθ₂, h_C2=h_C1-d₂cosθ₂。

It is similarly the solution procedure for simplifying above-mentioned equation group, coordinate system as shown in the figure is translated, to right translation a_C1It is a Unit length, then translate up h_C1Original coordinate origin is moved to upper phase conductor C by a unit length₁At point, solving Obtain P₂The P in former coordinate system is obtained further according to coordinate system translation relation after point abscissa₂The abscissa x of point_P2, it may be assumed that

In formula,

By phase conductor C on Shi Ke get₁Exposed range Z₁₅:

Ground wire, which is hit, to be hit away from circle ⊙ S and upper phase conductor away from circle ⊙ C₁There are intersection point P₁And P₁Point ordinate y_P1Meet y_P1<y_S1； Phase conductor is hit away from circle ⊙ C in simultaneously₂It hits with upper phase conductor away from circle ⊙ C₁There are intersection point P₂And P₂Point ordinate y_P2Greater than D₁Point is vertical to be sat Mark y_P2>y_D1, in addition hit over the ground away from r_gGreater than P₂Point ordinate r_g>y_P2, i.e. y_P1<y_S1、y_P2>y_D1、r_g>y_P2When (attached drawing 5 (b)), this When in phase conductor C₂With lower phase conductor C₃Exposed range is zero, only upper phase conductor C₁Exposure arc exists, upper phase conductor C₁Exposed range Z₁₆:

Z₁₆=x_E1-x_S1

By phase conductor C on Shi Ke get₁Exposed range Z₁₆:

(4) lightning current continues to increase, and ground wire, which is hit, to be hit away from circle ⊙ S and upper phase conductor away from circle ⊙ C₁There are intersection point P₁And P₁Point is vertical Coordinate y_P1Meet y_P1>y_S1；Phase conductor is hit away from circle ⊙ C in simultaneously₂It hits with upper phase conductor away from circle ⊙ C₁There are intersection point P₂And P₂Point is vertical Coordinate y_P2Greater than D₁Point ordinate y_P2>y_D1；In addition it is hit over the ground away from r_gLess than P₂Point ordinate r_g<y_P2, i.e. y_P1>y_S1、y_P2>y_D1、 r_g<y_P2When (attached drawing 6 (a)), upper phase conductor C₁Exposed range Z₁₇:

Z₁₇=x_P2-x_P1

By phase conductor C on Shi Ke get₁Exposed range Z₁₇:

When lightning current is sufficiently large, if being hit over the ground away from r_gGreater than P₂Point ordinate y_P2, i.e. y_P1>y_S1、y_P2>y_D1、 r_g>y_P2 When (attached drawing 6 (b)), at this time in phase conductor C₂With lower phase conductor C₃Exposed range is zero, only upper phase conductor C₁Exposure arc exists, on Phase conductor C₁Exposed range Z₁₈:

Z₁₈=x_E1-x_P1

By phase conductor C on Shi Ke get₁Exposed range Z₁₈:

When being hit over the ground away from r_gIt hits equal to ground wire and hits away from circle ⊙ S and upper phase conductor away from circle ⊙ C₁Intersection point P₁Ordinate y_P1When, Corresponding lightning current is upper phase conductor C at this time₁Maximum shielding lightning current I_C1max, greater than the thunder of this electric current or hit lightning-arrest Line or the earth is hit, upper, middle and lower three-phase conducting wire is all not exposed to shielding.

The range of striking distance factor between zero and one, i.e., is hit over the ground and is hit conducting wire away from therefore Fig. 3 away from being less than under normal conditions (b), the case where Fig. 4 (b), Fig. 5 (b), Fig. 6 (b) less generation, unless tower structure is very special.

Middle phase conductor exposed range calculates.

Centering phase conductor, since distance is remote therewith for the relatively upper phase conductor of distance therewith for lightning conducter, middle phase conductor exposure arc It is hit to hit away from circle, lower phase conductor by upper phase conductor and hits and determined away from three away from circle and the earth, ibid phase conductor exposed range calculates, middle phase The calculating of conducting wire exposed range is also classified into following several situations:

(1) lightning current is smaller, and upper phase conductor is hit away from circle ⊙ C₁It hits with middle phase conductor away from circle ⊙ C₂There is no intersection points, or exist Intersection point P₂And P₂Point ordinate y_P2It hits less than upper phase conductor away from circle ⊙ C₁Vertical tangent point D₁Ordinate y_P2<y_D1；With phase at present Conducting wire is hit away from circle ⊙ C₃It hits with middle phase conductor away from circle ⊙ C₂Without intersection point, or there are intersection point P₃And P₃Point ordinate y_P3It is led less than middle phase Line is hit away from circle ⊙ C₂Vertical tangent point D₂Ordinate y_P3<y_D2；In addition it is hit over the ground away from r_gLess than D₂The ordinate r of point_g<y_D2, i.e. y_P2< y_D1、y_P3<y_D2、r_g<y_D2When (attached drawing 7 (a)), middle phase conductor C₂Exposed range Z₂₁:

Z₂₁=x_D2-x_D1

x_D2=a_C2+r_C2=a_C1+d₂sinθ₂+r_C2=a_S+d₁sinθ₁+d₂sinθ₂+r_C2

By phase conductor C on Shi Ke get₂Exposed range Z₂₁:

Z₂₁=x_D2-x_D1=d₂sinθ₂+r_C2-r_C1

Upper phase conductor is hit away from circle ⊙ C₁It hits with middle phase conductor away from circle ⊙ C₂There is no intersection points, or there are intersection point P₂And P₂Point is vertical Coordinate y_P2It hits less than upper phase conductor away from circle ⊙ C₁Vertical tangent point D₁Ordinate y_P2<y_D1；It hits with phase conductor at present away from circle ⊙ C₃ It hits with middle phase conductor away from circle ⊙ C₂Without intersection point, or there are intersection point P₃And P₃Point ordinate y_P3It hits less than middle phase conductor away from circle ⊙ C₂Lead Hang down tangent point D₂Ordinate y_P3<y_D2；In addition it is hit over the ground away from r_gGreater than D₂The ordinate r of point_g>y_D2, i.e. y_P2<y_D1、y_P3<y_D2、r_g> y_D2When (attached drawing 7 (b)), this phase conductor C at present₃Exposed range is zero, middle phase conductor C₂Exposed range Z₂₂:

Z₂₂=x_E2-x_D1

Wherein, E₂Point hits for the earth away from r_gIt hits with middle phase conductor away from circle ⊙ C₂Intersection point and have:

By phase conductor C on Shi Ke get₂Exposed range Z₂₂:

(2) lightning current is larger, and upper phase conductor is hit away from circle ⊙ C₁It hits with middle phase conductor away from circle ⊙ C₂There are intersection point P₂And P₂Point is vertical Coordinate y_P2Meet y_P2>y_D1；It hits with phase conductor at present away from circle ⊙ C₃It hits with middle phase conductor away from circle ⊙ C₂Without intersection point, or there are intersection points P₃And P₃Point ordinate y_P3It hits less than middle phase conductor away from circle ⊙ C₂Vertical tangent point D₂Ordinate y_P3<y_D2；In addition it is hit over the ground away from r_gIt is small In D₂Point ordinate r_g<y_D2, i.e. y_P2>y_D1、y_P3<y_D2、 r_g<y_D2When (attached drawing 8 (a)), middle phase conductor C₂Exposed range Z₂₃:

Z₂₃=x_D2-x_P2

Middle phase conductor C can be obtained by formula₂Exposed range Z₂₃:

Upper phase conductor is hit away from circle ⊙ C₁It hits with middle phase conductor away from circle ⊙ C₂There are intersection point P₂And P₂Point ordinate y_P2Meet y_P2>y_D1；It hits with phase conductor at present away from circle ⊙ C₃It hits with middle phase conductor away from circle ⊙ C₂Without intersection point, or there are intersection point P₃And P₃Point is vertical to be sat Mark y_P3It hits less than middle phase conductor away from circle ⊙ C₂Vertical tangent point D₂Ordinate y_P3<y_D2；In addition it is hit over the ground away from r_gGreater than D₂Point is vertical to be sat Mark r_g>y_D2, i.e. y_P2>y_D1、y_P3<y_D2、r_g>y_D2When (attached drawing 8 (b)), this phase conductor C at present₃Exposed range is zero, middle phase conductor C₂Exposed range Z₂₄:

Z₂₄=x_E2-x_P2

Middle phase conductor C can be obtained by formula₂Exposed range Z₂₄:

(3) lightning current is larger, and upper phase conductor is hit away from circle ⊙ C₁It hits with middle phase conductor away from circle ⊙ C₂There are intersection point P₂And P₂Point is vertical Coordinate y_P2Meet y_P2<y_D1；It hits with phase conductor at present away from circle ⊙ C₃It hits with middle phase conductor away from circle ⊙ C₂There are intersection point P₃And P₃Point is vertical Coordinate y_P3Greater than D₂Point ordinate y_P3>y_D2, in addition hit over the ground away from r_gLess than D₂Point ordinate r_g<y_D2, i.e. y_P2<y_D1、y_P3>y_D2、r_g <y_D2When (attached drawing 9 (a)), middle phase conductor C₂Exposed range Z₂₅:

Z₂₅=x_P3-x_D1

Phase conductor is hit away from circle ⊙ C in simultaneous₂Equation and lower phase conductor are hit away from circle ⊙ C₃Equation obtains equation group:

In formula, a_C3=a_C2+d₃sinθ₃, h_C3=h_C2-d₃cosθ₃。

It is similarly the solution for simplifying above-mentioned equation group, coordinate system as shown in the figure is translated, to right translation a_C2A unit Length, then translate up h_C2Original coordinate origin is moved to middle phase conductor C by a unit length₂At point, obtained in solution P₃The P in former coordinate system is obtained further according to coordinate system translation relation after point abscissa₃The abscissa x of point_P3, it may be assumed that

In formula,

Middle phase conductor C can be obtained by formula₂Exposed range Z₂₅:

Upper phase conductor is hit away from circle ⊙ C₁It hits with middle phase conductor away from circle ⊙ C₂There are intersection point P₂And P₂Point ordinate y_P2Meet y_P2<y_D1；It hits with phase conductor at present away from circle ⊙ C₃It hits with middle phase conductor away from circle ⊙ C₂There are intersection point P₃And P₃Point ordinate y_P3Greater than D₂ Point ordinate y_P3>y_D2, in addition hit over the ground away from r_gGreater than D₂Point ordinate r_g>y_D2, i.e. y_P2<y_D1、y_P3>y_D2、r_g>y_D2When (attached drawing 9 (b)), this phase conductor C at present₃Exposed range is zero, middle phase conductor C₂Exposed range Z₂₆:

Z₂₆=x_E2-x_D1

Middle phase conductor C can be obtained by formula₂Exposed range Z₂₆:

(4) lightning current continues to increase, and upper phase conductor is hit away from circle ⊙ C₁It hits with middle phase conductor away from circle ⊙ C₂There are intersection point P₂And P₂Point ordinate y_P2Meet y_P2>y_D1；It hits with phase conductor at present away from circle ⊙ C₃It hits with middle phase conductor away from circle ⊙ C₂There are intersection point P₃And P₃ Point ordinate y_P3Greater than D₂Point ordinate y_P3>y_D2；In addition it is hit over the ground away from r_gLess than P₃Point ordinate r_g<y_P3, i.e. y_P2>y_D1、y_P3> y_D2、r_g<y_P3When (attached drawing 10 (a)), middle phase conductor C₂Exposed range Z₂₇:

Z₂₇=x_P3-x_P2

Middle phase conductor C can be obtained by formula₂Exposed range Z₂₇:

When lightning current is sufficiently large, if being hit over the ground away from r_gGreater than P₃Point ordinate y_P3, i.e. y_P2>y_D1、y_P3>y_D2、r_g>y_P3 When (attached drawing 10 (b)), this phase conductor C at present₃Exposed range is zero, middle phase conductor C₂Exposed range Z₂₈:

Z₂₈=x_E2-x_P2

Middle phase conductor C can be obtained by formula₂Exposed range Z₂₈:

Lower phase conductor exposed range calculates.

Lower phase conductor exposure arc is hit by middle phase conductor and is hit away from circle and the earth away from determining, lower phase conductor exposed range calculating is divided into Several situations below:

(1) lightning current is smaller, and middle phase conductor is hit away from circle ⊙ C₂It hits with lower phase conductor away from circle ⊙ C₃There is no intersection points, or exist Intersection point P₃And P₃Point ordinate y_P3It hits less than middle phase conductor away from circle ⊙ C₂Vertical tangent point D₂Ordinate y_P3<y_D2；In addition right Ground is hit away from r_gIt hits less than lower phase conductor away from circle ⊙ C₃Vertical tangent point D₃Ordinate r_g<y_D3, i.e. y_P3<y_D2、r_g<y_D3When it is (attached Figure 11 (a)), lower phase conductor C₃Exposed range Z₃₁:

Z₃₁=x_D3-x_D2

x_D3=a_C3+r_C3=a_S+d₁sinθ₁+d₂sinθ₂+d₃sinθ₃+r_C3

By phase conductor C under Shi Ke get₃Exposed range Z₃₁:

Z₃₁=x_D3-x_D2=d₃sinθ₃+r_C3-r_C2

Middle phase conductor is hit away from circle ⊙ C₂It hits with lower phase conductor away from circle ⊙ C₃There is no intersection points, or there are intersection point P₃And P₃Point is vertical Coordinate y_P3It hits less than middle phase conductor away from circle ⊙ C₂Vertical tangent point D₂Ordinate y_P3<y_D2；In addition it is hit over the ground away from r_gUnder being greater than Phase conductor is hit away from circle ⊙ C₃Vertical tangent point D₃Ordinate r_g>y_D3, i.e. y_P3<y_D2、r_g>y_D3When (attached drawing 11 (b)), lower phase Conducting wire C₃Exposed range Z₃₂:

Z₃₂=x_E3-x_D2

Wherein, E₃Point hits for the earth away from r_gIt hits with lower phase conductor away from circle ⊙ C₃Intersection point and have:

By phase conductor C under Shi Ke get₃Exposed range Z₃₂:

(2) lightning current is larger, and middle phase conductor is hit away from circle ⊙ C₂It hits with lower phase conductor away from circle ⊙ C₃There are intersection point P₃And P₃Point is vertical Coordinate y_P3Meet y_P3>y_D2；In addition it is hit over the ground away from r_gLess than D₃Point ordinate r_g<y_D3, i.e. y_P3>y_D2、r_g<y_D3When (attached drawing 12 (a)), lower phase conductor C₃Exposed range Z₃₃:

Z₃₃=x_D3-x_P3

By phase conductor C under Shi Ke get₃Exposed range Z₃₃:

Middle phase conductor is hit away from circle ⊙ C₂It hits with lower phase conductor away from circle ⊙ C₃There are intersection point P₃And P₃Point ordinate y_P3Meet y_P3>y_D2；In addition it is hit over the ground away from r_gGreater than D₃Point ordinate r_g>y_D3, i.e. y_P3>y_D2、r_g>y_D3When (attached drawing 12 (b)), lower phase conductor C₃ Exposed range Z₃₄:

Z₃₄=x_E3-x_P3

By phase conductor C under Shi Ke get₃Exposed range Z₃₄:

Second, according to the calculated result of exposed range, calculates corresponding critical lightning current.

Upper phase conductor C₁Critical thunder and lightning stream calculation is as follows:

(1) it is hit away from circle ⊙ S and upper phase conductor away from circle ⊙ C when ground wire is hit₁Intersection point P₁The vertical away from circle ⊙ S is hit with ground wire to cut Line point S₁It is upper phase conductor C when coincidence₁Exposed range switch transition it is critical hit away from one of, it may be assumed that x_P1=x_S1When, it obtains:

Variable r in formula_SAnd r_C1It is the function about amplitude of lightning current, therefore formula is substantially about amplitude of lightning current I Linear equation with one unknown, solve equation and phase conductor C can be obtained₁One of critical lightning current I_C11。

(2) when upper phase conductor is hit away from circle ⊙ C₁It hits with middle phase conductor away from circle ⊙ C₂Intersection point P₂It hits with upper phase conductor away from circle ⊙ C₁Vertical tangent point D₁It is upper phase conductor C when coincidence₁The another of exposed range switch transition critical is hit away from, it may be assumed that x_P2=x_D1When, :

Variable r in formula_C1And r_C2It is the function about amplitude of lightning current, formula is substantially one about amplitude of lightning current I First linear function solves equation and phase conductor C can be obtained₁Another critical lightning current I_C12。

(3) phase conductor is hit away from circle ⊙ C in₂It hits with upper phase conductor away from circle ⊙ C₁Without intersection point, or there are intersection point P₂And P₂Point is vertical Coordinate y_P2It hits less than upper phase conductor away from circle ⊙ C₁Vertical tangent point D₁Ordinate y_P2<y_D1When, i.e. y_P2<y_D1When, when hit over the ground away from r_gIt hits with upper phase conductor away from circle ⊙ C₁Intersection point E₁With ⊙ C₁Vertical tangent point D₁It is upper phase conductor C when coincidence₁Exposed range turns That changes another critical hits away from i.e. y_E1=y_D1When, have:

Solving equations obtain D₁Point ordinate:

y_D1=h_C1

And y_E1=r_g

By Shi Ke get:

r_g=h_C1

Variable r in formula_gFor the function about amplitude of lightning current, h_C1For upper phase conductor C₁Average height solves equation to obtain Phase conductor C₁One of critical lightning current I_C13。

Phase conductor is hit away from circle ⊙ C in the middle₂It hits with upper phase conductor away from circle ⊙ C₁Intersection point P₂Ordinate y_P2Greater than upper phase conductor It hits away from circle ⊙ C₁Vertical tangent point D₁Ordinate y_P2>y_D1When, i.e. y_P2>y_D1When, when being hit over the ground away from r_gIt hits with upper phase conductor away from circle ⊙ C₁Intersection point E₁It hits with middle phase conductor away from circle ⊙ C₂It hits with upper phase conductor away from circle ⊙ C₁Intersection point P₂It is upper phase conductor C when coincidence₁Cruelly Another critical the hitting away from i.e. x of dew distance conversion_E1=x_P2When, have:

Variable r in formula_C1、r_C2And r_gIt is the function about amplitude of lightning current, formula is substantially about amplitude of lightning current I's Linear equation with one unknown solves equation and phase conductor C can be obtained₁Another critical lightning current I_C14。

(4) calculating of maximum shielding lightning current

It is hit away from circle ⊙ S and upper phase conductor away from circle ⊙ C when ground wire is hit₁There is no intersection points, or there are intersection point P₁And P₁Point ordinate y_P1The vertical tangent point S away from circle ⊙ S is hit less than ground wire₁Ordinate y_P1<y_S1When；Upper phase conductor is hit away from circle ⊙ C simultaneously₁Level Tangent point B₁Abscissa x_B1The vertical tangent line away from circle ⊙ S is hit greater than ground wire to hit with upper phase conductor away from circle ⊙ C₁Intersection point A₁Cross Coordinate x_B1>x_A1That is y_P1<y_S1、x_B1>x_A1When (such as Figure 13 (a)), when being hit over the ground away from r_gIt hits with upper phase conductor away from circle ⊙ C₁Intersection point E₁ It hits with upper phase conductor away from circle ⊙ C₁Horizontal tangent point B₁It is upper phase conductor C when coincidence₁Maximum shielding lightning current, i.e. x_E1=x_B1 When, wherein x_B1=a_C1, have:

Variable r in formula_C1And r_gIt is the function about amplitude of lightning current, formula is substantially one about amplitude of lightning current I First linear function solves equation and phase conductor C can be obtained₁Maximum shielding lightning current I_C1M1。

It is hit away from circle ⊙ S and upper phase conductor away from circle ⊙ C when ground wire is hit₁There is no intersection points, or there are intersection point P₁And P₁Point is vertical Coordinate y_P1The vertical tangent point S away from circle ⊙ S is hit less than ground wire₁Ordinate y_P1<y_S1When；Upper phase conductor is hit away from circle ⊙ C simultaneously₁'s Horizontal tangent point B₁Abscissa x_B1The vertical tangent line away from circle ⊙ S is hit less than ground wire to hit with upper phase conductor away from circle ⊙ C₁Intersection point A₁ Abscissa x_B1<x_A1That is y_P1<y_S1、x_B1<x_A1When (such as Figure 13 (b)), when being hit over the ground away from r_gIt hits with upper phase conductor away from circle ⊙ C₁'s Intersection point E₁The vertical tangent line away from circle ⊙ S is hit with ground wire to hit with upper phase conductor away from circle ⊙ C₁Intersection point A₁It is upper phase conductor C when coincidence₁ Maximum shielding lightning current, i.e. x_E1=x_A1When, wherein x_A1=a_S+r_S, have:

Variable r in formula_C1、r_SAnd r_gIt is the function about amplitude of lightning current, formula is substantially about amplitude of lightning current I's Linear equation with one unknown solves equation and phase conductor C can be obtained₁Maximum shielding lightning current I_C1M2。

It is hit away from circle ⊙ S and upper phase conductor away from circle ⊙ C when ground wire is hit₁There are intersection point P₁And P₁Point ordinate y_P1Meet y_P1> y_S1, when being hit over the ground away from r_gIt hits with upper phase conductor away from circle ⊙ C₁Intersection point E₁It hits with ground wire and hits away from circle ⊙ S and upper phase conductor away from circle ⊙ C₁Intersection point P₁It is upper phase conductor C when coincidence₁Maximum shielding lightning current, i.e. x_E1=x_P1When, have:

Variable r in formula_C1、r_gAnd r_SFor the function about amplitude of lightning current, formula is substantially one about amplitude of lightning current I First linear function solves equation and phase conductor C can be obtained₁Maximum shielding lightning current I_C1M3。

Middle phase conductor C₂Critical thunder and lightning stream calculation is as follows:

(1) when upper phase conductor is hit away from circle ⊙ C₁It hits with middle phase conductor away from circle ⊙ C₂Intersection point P₂It hits with upper phase conductor away from circle ⊙ C₁Vertical tangent point D₁It is overlapped Shi Weizhong phase conductor C₂Exposed range switch transition it is critical hit away from one of, it may be assumed that x_P2=x_D1When, :

Variable r in formula_C1And r_C2It is the function about amplitude of lightning current, therefore formula is substantially about amplitude of lightning current I Linear equation with one unknown, solve equation and middle phase conductor C can be obtained₂One of critical lightning current I_C21。

(2) phase conductor is hit away from circle ⊙ C in₂It hits with lower phase conductor away from circle ⊙ C₃Intersection point P₃It hits with middle phase conductor away from circle ⊙ C₂Vertical tangent point D₂It is overlapped Shi Weizhong phase conductor C₂The another of exposed range switch transition critical is hit away from, it may be assumed that x_P3=x_D2When, It can obtain:

Similarly, the variable r in formula_C2And r_C3It is the function about amplitude of lightning current, formula is substantially about amplitude of lightning current The linear equation with one unknown of I solves equation and middle phase conductor C can be obtained₂Another critical lightning current I_C22。

(3) phase conductor is hit away from circle ⊙ C instantly₃It hits with middle phase conductor away from circle ⊙ C₂Without intersection point, or there are intersection point P₃And P₃Point is vertical Coordinate y_P3It hits less than middle phase conductor away from circle ⊙ C₂Vertical tangent point D₂Ordinate y_P3<y_D2When, when being hit over the ground away from r_gWith middle phase conductor It hits away from circle ⊙ C₂Intersection point E₂With ⊙ C₂Vertical tangent point D₂It is overlapped Shi Weizhong phase conductor C₂Exposed range conversion it is critical hit away from, That is y_E2=y_D2When, have:

Solving equations obtain D₂Point ordinate:

y_D2=h_C2

And y_E2=r_g

By Shi Ke get:

r_g=h_C2

Variable r in formula_gFor the function about amplitude of lightning current, h_C2For middle phase conductor C₂Average height, solves equation to obtain Phase conductor C₂One of critical lightning current I_C23。

Instantly phase conductor is hit away from circle ⊙ C₃It hits with middle phase conductor away from circle ⊙ C₂Intersection point P₃Ordinate y_P3Greater than middle phase conductor It hits away from circle ⊙ C₂Vertical tangent point D₂Ordinate y_P3>y_D2When, when being hit over the ground away from r_gIt hits with middle phase conductor away from circle ⊙ C₂Intersection point E₂With Lower phase conductor is hit away from circle ⊙ C₃It hits with middle phase conductor away from circle ⊙ C₂Intersection point P₃It is overlapped Shi Weizhong phase conductor C₂Exposed range conversion Another critical hit away from i.e. x_E2=x_P3When, have:

Variable r in formula_C2、r_C3And r_gIt is the function about amplitude of lightning current, formula is substantially about amplitude of lightning current I's Linear equation with one unknown solves equation and middle phase conductor C can be obtained₂Another critical lightning current I_C24。

(4) calculating of maximum shielding lightning current

When upper phase conductor is hit away from circle ⊙ C₁It hits with middle phase conductor away from circle ⊙ C₂There is no intersection points, or there are intersection point P₂And P₂Point Ordinate y_P2It hits less than upper phase conductor away from circle ⊙ C₁Vertical tangent point D₁Ordinate y_P2<y_D1When；Simultaneously in phase conductor hit away from Circle ⊙ C₂Horizontal tangent point B₂Abscissa x_B2It hits greater than upper phase conductor away from circle ⊙ C₁Vertical tangent line and middle phase conductor hit away from circle ⊙C₂Intersection point A₂Abscissa x_B2>x_A2, i.e. y_P2<y_D1、 x_B2>x_A2When (such as Figure 14 (a)), when being hit over the ground away from r_gWith middle phase conductor It hits away from circle ⊙ C₂Intersection point E₂It hits with middle phase conductor away from circle ⊙ C₂Horizontal tangent point B₂It is overlapped Shi Weizhong phase conductor C₂It is maximum around Hit lightning current, i.e. x_E2=x_B2When, wherein x_B2=a_C2, have:

Variable r in formula_C2And r_gIt is the function about amplitude of lightning current, formula is substantially one about amplitude of lightning current I First linear function solves equation and middle phase conductor C can be obtained₂Maximum shielding lightning current I_C2M1。

When upper phase conductor is hit away from circle ⊙ C₁It hits with middle phase conductor away from circle ⊙ C₂There is no intersection points, or there are intersection point P₂And P₂ Point ordinate y_P2It hits less than upper phase conductor away from circle ⊙ C₁Vertical tangent point D₁Ordinate y_P2<y_D1When；Phase conductor is hit in simultaneously Away from circle ⊙ C₂Horizontal tangent point B₂Abscissa x_B2It hits less than upper phase conductor away from circle ⊙ C₁Vertical tangent line and middle phase conductor hit away from Circle ⊙ C₂Intersection point A₂Abscissa x_B2<x_A2, i.e. y_P2<y_D1、 x_B2<x_A2When (such as Figure 14 (b)), when being hit over the ground away from r_gIt is led with middle phase Line is hit away from circle ⊙ C₂Intersection point E₂It hits with upper phase conductor away from circle ⊙ C₁Vertical tangent line and middle phase conductor hit away from circle ⊙ C₂Intersection point A₂ It is overlapped Shi Weizhong phase conductor C₂Maximum shielding lightning current, i.e. x_E2=x_A2When, wherein x_A2=a_C1+r_C1, have:

Variable r in formula_C1、r_C2And r_gIt is the function about amplitude of lightning current, formula is substantially about amplitude of lightning current I Linear equation with one unknown, solve equation and middle phase conductor C can be obtained₂Maximum shielding lightning current I_C2M2。

When upper phase conductor is hit away from circle ⊙ C₁It hits with middle phase conductor away from circle ⊙ C₂There are intersection point P₂And P₂Point ordinate y_P2Meet y_P2>y_D1, when being hit over the ground away from r_gIt hits with middle phase conductor away from circle ⊙ C₂Intersection point E₂It hits with upper phase conductor away from circle ⊙ C₁It is hit with middle phase conductor Away from circle ⊙ C₂Intersection point P₂It is overlapped Shi Weizhong phase conductor C₂Maximum shielding lightning current, i.e. x_E2=x_P2When, joint type has:

Variable r in formula_C1、r_C2And r_gFor the function about amplitude of lightning current, formula is substantially one about amplitude of lightning current I First linear function solves equation and middle phase conductor C can be obtained₂Maximum shielding lightning current I_C2M3。

Lower phase conductor C₃Critical thunder and lightning stream calculation is as follows:

(1) phase conductor is hit away from circle ⊙ C in₂It hits with lower phase conductor away from circle ⊙ C₃Intersection point P₃It hits with middle phase conductor away from circle ⊙ C₂Vertical tangent point D₂It is lower phase conductor C when coincidence₃Exposed range switch transition it is critical hit away from one of, it may be assumed that x_P3=x_D2When, It can obtain:

Variable r in formula_C2And r_C3It is the function about amplitude of lightning current, therefore formula is substantially about amplitude of lightning current I Linear equation with one unknown, solve equation and lower phase conductor C can be obtained₃One of critical lightning current I_C31。

(2) when being hit over the ground away from r_gIt hits with lower phase conductor away from circle ⊙ C₃Vertical tangent point D₃It is lower phase conductor C when coincidence₃Cruelly Reveal apart from switch transition it is critical hit away from one of, it may be assumed that x_E3=x_D3When, it obtains:

Variable r in formula_C3And r_gIt is the function about amplitude of lightning current, therefore formula is substantially about amplitude of lightning current I Linear equation with one unknown, solve equation and lower phase conductor C can be obtained₃One of critical lightning current I_C32。

(3) calculating of maximum shielding lightning current

Phase conductor is hit away from circle ⊙ C in the middle₂It hits with lower phase conductor away from circle ⊙ C₃There is no intersection points, or there are intersection point P₃And P₃Point Ordinate y_P3It hits less than middle phase conductor away from circle ⊙ C₂Vertical tangent point D₂Ordinate y_P3<y_D2When；With phase conductor at present hit away from Circle ⊙ C₃Horizontal tangent point B₃Abscissa x_B3It hits greater than middle phase conductor away from circle ⊙ C₂Vertical tangent line and lower phase conductor hit away from circle ⊙C₃Intersection point A₃Abscissa x_B3>x_A3, i.e. y_P3<y_D2、 x_B3>x_A3When (such as Figure 15 (a)), when being hit over the ground away from r_gWith lower phase conductor It hits away from circle ⊙ C₃Intersection point E₃It hits with lower phase conductor away from circle ⊙ C₃Horizontal tangent point B₃It is lower phase conductor C when coincidence₃It is maximum around Hit lightning current, i.e. x_E3=x_B3When, wherein x_B3=a_C3, have:

Variable r in formula_C3And r_gIt is the function about amplitude of lightning current, formula is substantially one about amplitude of lightning current I First linear function solves equation and lower phase conductor C can be obtained₃Maximum shielding lightning current I_C3M1。

Phase conductor is hit away from circle ⊙ C in the middle₂It hits with lower phase conductor away from circle ⊙ C₃There is no intersection points, or there are intersection point P₃And P₃ Point ordinate y_P3It hits less than middle phase conductor away from circle ⊙ C₂Vertical tangent point D₂Ordinate y_P3<y_D2When；It is hit with phase conductor at present Away from circle ⊙ C₃Horizontal tangent point B₃Abscissa x_B3It hits less than middle phase conductor away from circle ⊙ C₂Vertical tangent line and lower phase conductor hit away from Circle ⊙ C₃Intersection point A₃Abscissa x_B3<x_A3, i.e. y_P3<y_D2、 x_B3<x_A3When (such as Figure 15 (b)), when being hit over the ground away from r_gIt is led with lower phase Line is hit away from circle ⊙ C₃Intersection point E₃It hits with middle phase conductor away from circle ⊙ C₂Vertical tangent line and lower phase conductor hit away from circle ⊙ C₃Intersection point A₃ It is lower phase conductor C when coincidence₃Maximum shielding lightning current, i.e. x_E3=x_A3When, wherein x_A3=a_C2+r_C2, have:

Variable r in formula_C2、r_C3And r_gIt is the function about amplitude of lightning current, formula is substantially about amplitude of lightning current I's Linear equation with one unknown solves equation and lower phase conductor C can be obtained₃Maximum shielding lightning current I_C3M2。

Phase conductor is hit away from circle ⊙ C in the middle₂It hits with lower phase conductor away from circle ⊙ C₃There are intersection point P₃And P₃Point ordinate y_P3Meet y_P3>y_D2, when being hit over the ground away from r_gIt hits with lower phase conductor away from circle ⊙ C₃Intersection point E₃It hits with middle phase conductor away from circle ⊙ C₂It is hit with lower phase conductor Away from circle ⊙ C₃Intersection point P₃It is lower phase conductor C when coincidence₃Maximum shielding lightning current, i.e. x_E3=x_P3When, have:

Variable r in formula_C2、r_C3And r_gFor the function about amplitude of lightning current, formula is substantially one about amplitude of lightning current I First linear function solves equation and lower phase conductor C can be obtained₃Maximum shielding lightning current I_C3M3。

Third is the calculating of each phase conductor shielding flashover strike.

The calculating of upper phase conductor shielding flashover strike.

According to the horizontal I of the resistance to thunder of shielding_cAnd upper each critical lightning current I of phase conductor_C11、I_C12、I_C13、I_C14Relative size and most Big shielding lightning current I_C1M3, exposed range Z is respectively segmented to upper phase conductor in formula₁The critical lightning current of the upper and lower limit of integral is determining and total Shielding flashover strike calculation formula is as follows.

In conjunction with different type shaft tower lightning conducter S, upper phase conductor C₁, middle phase conductor C₂And the relative position between the earth Relationship successively dodges shielding in different critical lightning current section according to the sequence that minimum shielding thunder and lightning flows to maximum shielding lightning current The expression formula addition of network rate can must go up the total shielding flashover strike calculation formula of phase conductor:

a)S_FFORC1=S_FFOR11+S_FFOR12+S_FFOR14

b)

c)

d)S”'_FFORC1=S_FFOR13+S'_FFOR14

e)

With reference to attached drawing 13 (a), I_C<I<I_C11<I_C12, I_C11>I_C1M1, I_C12>I_C13When:

f)

I_C<I<I_C11<I_C12, I_C11>I_C1M1, I_C12<I_C13When:

g)

If upper phase conductor C₁It respectively hits away from shown in such as attached drawing 13 (b) of position, then the upper limit of last integral is in formula_IC1M2, That is:

h) i)

The calculating of middle phase conductor shielding flashover strike.

According to the horizontal I of the resistance to thunder of shielding_cAnd middle each critical lightning current I of phase conductor_C21、I_C22、I_C123、I_C24Relative size and most Big shielding lightning current I_C2M3, centering phase conductor is respectively segmented exposed range Z in formula₂The critical lightning current of the upper and lower limit of integral is determining and total Shielding flashover strike calculation formula is as follows.

In conjunction with phase conductor C on different type shaft tower₁, middle phase conductor C₂, lower phase conductor C₃And the opposite position between the earth Relationship is set, the sequence of maximum shielding lightning current is flowed to successively by shielding in different critical lightning current section according to minimum shielding thunder and lightning The expression formula addition of flashover strike can obtain the total shielding flashover strike calculation formula of middle phase conductor:

a)S_FFORC2=S_FFOR21+S_FFOR22+S_FFOR24

b)

c)

d)S”'_FFORC2=S_FFOR23+S'_FFOR24

e)

With reference to Figure 14 (a), I_C<I<I_C21<I_C22, I_C21>I_C2M1, I_C22>I_C23When:

f)

I_C<I<I_C21<I_C22, I_C21>I_C2M1, I_C22<I_C23When:

g)

If middle phase conductor C₂It respectively hits away from shown in such as Figure 14 (b) of position, then the upper limit of last integral is in formula_IC2M2, it may be assumed that

h) i)

The calculating of lower phase conductor shielding flashover strike.

According to the horizontal I of the resistance to thunder of shielding_cAnd lower each critical lightning current I of phase conductor_C31、I_C32Relative size and maximum shielding thunder Electric current I_C3M3, exposed range Z is respectively segmented to lower phase conductor in formula₃The determining and total shielding flashover of the critical lightning current of the upper and lower limit of integral Rate calculation formula is as follows.

In conjunction with phase conductor C in different type shaft tower₂, lower phase conductor C₃And the relative positional relationship between the earth three, according to Minimum shielding thunder and lightning flows to the sequence of maximum shielding lightning current successively by the table of shielding flashover strike in different critical lightning current section The shielding flashover strike calculation formula that phase conductor can must be descended total is added up to formula:

a)S_FFORC3=S_FFOR31+S_FFOR32+S'_FFOR32

b)

With reference to Figure 15 (a), I_C31>I_C32, I_C31>I_C3M1, I_C3M1>I_C32When:

c)

If lower phase conductor C₃It respectively hits away from shown in such as Figure 15 (b) of position, then the upper limit of last integral is in formula_IC3M2, it may be assumed that

d)

The total shielding flashover strike of route can be obtained according to formula after obtaining each phase conductor shielding flashover strike.

The above embodiments are only used to illustrate and not limit the technical solutions of the present invention, although above-described embodiment to the present invention into Gone detailed description, the related technical personnel of this field it is understood that can modify to the present invention or replace on an equal basis, but Any modification and part replacement for not departing from spirit and scope of the invention should all be covered in scope of the presently claimed invention.

Claims

1. the multiple-circuit on same tower Characteristic of Lightning Shielding Failure analysis method of shielding action between meter and conducting wire, which is characterized in that based on same The electric geometry method of tower double-circuit line Characteristic of Lightning Shielding Failure analysis, to conducting wire exposed range, conducting wire under different exposed ranges Critical lightning current, conducting wire shielding flashover strike are calculated, and formula is based onWherein S_FFORCFor Shielding probability of flashover, N_gFor CG lightning density, I_cmaxFor maximum shielding lightning current, I_cIt is exposed range, p for the resistance to Lei Shuiping of shielding, Z (I) be amplitude of lightning current cumulative probability density function, by lightning current size divide 4 kinds of situations to based on and between conducting wire shielding action it is same Tower double-circuit line Characteristic of Lightning Shielding Failure is analyzed, and the analysis method includes:

(3) according to the segmentation calculation formula of each phase conductor exposed range, in conjunction with upper and lower limit of the different segmentation exposed ranges under corresponding Critical amplitude of lightning current calculates the shielding probability of flashover of each phase conductor.

2. the multiple-circuit on same tower Characteristic of Lightning Shielding Failure analysis side of shielding action between meter according to claim 1 and conducting wire Method, which is characterized in that be based on same tower double back transmission line EGM model, calculate the exposed range of each phase conductor, wherein upper phase conductor Exposed range calculating include:

(1) situation 1: lightning current is smaller, and ground wire, which is hit, to be hit away from circle ⊙ S and upper phase conductor away from circle ⊙ C₁There is no intersection points, or there are intersection points P₁And P₁Point ordinate y_P1The vertical tangent point S away from circle ⊙ S is hit less than ground wire₁Ordinate y_P1<y_S1；Simultaneously in phase conductor hit away from Circle ⊙ C₂It hits with upper phase conductor away from circle ⊙ C₁Without intersection point, or there are intersection point P₂And P₂Point ordinate y_P2It hits less than upper phase conductor away from circle ⊙C₁Vertical tangent point D₁Ordinate y_P2<y_D1；In addition it is hit over the ground away from r_gLess than D₁The ordinate r of point_g<y_D1, i.e. y_P1<y_S1、y_P2< y_D1、r_g<y_D1When, upper phase conductor C₁Exposed range Z₁₁:

Z₁₁=x_D1-x_S1=d₁sinθ₁+r_C1-r_s

In formula, x_D1For D₁Point abscissa, x_S1For S₁Point abscissa, d₁For ⊙ S and ⊙ C₁Distance, θ₁For ⊙ S point vertical line and ⊙ S To ⊙ C₁Between line angle, r_c1For conducting wire C₁Hit away from r_sFor ground wire hit away from；

(2) situation 2: lightning current is larger, and ground wire, which is hit, to be hit away from circle ⊙ S and upper phase conductor away from circle ⊙ C₁There are intersection point P₁And P₁Point is vertical to be sat Mark y_P1Meet y_P1>y_S1；Phase conductor is hit away from circle ⊙ C in simultaneously₂It hits with upper phase conductor away from circle ⊙ C₁Without intersection point, or there are intersection point P₂And P₂Point ordinate y_P2It hits less than upper phase conductor away from circle ⊙ C₁Vertical tangent point D₁Ordinate y_P2<y_D1；In addition it is hit over the ground away from r_gLess than D₁ Point ordinate r_g<y_D1, i.e. y_P1>y_S1、y_P2<y_D1、r_g<y_D1When, upper phase conductor C₁Exposed range Z₁₃:

In formula, x_P1For P₁Point abscissa.

In formula, x_E1For E₁Point abscissa；

(3) situation 3: lightning current is larger, and ground wire, which is hit, to be hit away from circle ⊙ S and upper phase conductor away from circle ⊙ C₁There are intersection point P₁And P₁Point is vertical to be sat Mark y_P1Meet y_P1<y_S1；Phase conductor is hit away from circle ⊙ C in simultaneously₂It hits with upper phase conductor away from circle ⊙ C₁There are intersection point P₂And P₂Point is vertical to be sat Mark y_P2Greater than D₁Point ordinate y_P2>y_D1, in addition hit over the ground away from r_gLess than D₁Point ordinate r_g<y_D1, i.e. y_P1<y_S1、y_P2>y_D1、r_g< y_D1When, upper phase conductor C₁Exposed range Z₁₅:

In formula, x_P2For P₂Point abscissa, θ₂For ⊙ C₁Point vertical line and ⊙ C₁To ⊙ C₂Between line angle, r_c2For conducting wire C₂Hit Away from d₂For ⊙ C₁With ⊙ C₂Between distance；

(4) situation 4: lightning current continues to increase, and ground wire, which is hit, to be hit away from circle ⊙ S and upper phase conductor away from circle ⊙ C₁There are intersection point P₁And P₁Point Ordinate y_P1Meet y_P1>y_S1；Phase conductor is hit away from circle ⊙ C in simultaneously₂It hits with upper phase conductor away from circle ⊙ C₁There are intersection point P₂And P₂Point Ordinate y_P2Greater than D₁Point ordinate y_P2>y_D1；In addition it is hit over the ground away from r_gLess than P₂Point ordinate r_g<y_P2, i.e. y_P1>y_S1、y_P2>y_D1、 r_g<y_P2When, upper phase conductor C₁Exposed range Z₁₇:

3. the multiple-circuit on same tower Characteristic of Lightning Shielding Failure analysis side of shielding action between meter according to claim 1 and conducting wire Method, which is characterized in that be based on same tower double back transmission line EGM model, calculate the exposed range of each phase conductor, wherein middle phase conductor Exposed range calculating include:

(1) situation 1: lightning current is smaller, and upper phase conductor is hit away from circle ⊙ C₁It hits with middle phase conductor away from circle ⊙ C₂There is no intersection points, or deposit In intersection point P₂And P₂Point ordinate y_P2It hits less than upper phase conductor away from circle ⊙ C₁Vertical tangent point D₁Ordinate y_P2<y_D1；With at present Phase conductor is hit away from circle ⊙ C₃It hits with middle phase conductor away from circle ⊙ C₂Without intersection point, or there are intersection point P₃And P₃Point ordinate y_P3Less than middle phase Conducting wire is hit away from circle ⊙ C₂Vertical tangent point D₂Ordinate y_P3<y_D2；In addition it is hit over the ground away from r_gLess than D₂The ordinate r of point_g<y_D2, i.e., y_P2<y_D1、y_P3<y_D2、r_g<y_D2When, middle phase conductor C₂Exposed range Z₂₁:

Z₂₁=x_D2-x_D1=d₂sinθ₂+r_C2-r_C1

In formula, x_D2For D₂Point abscissa；

(2) situation 2: lightning current is larger, and upper phase conductor is hit away from circle ⊙ C₁It hits with middle phase conductor away from circle ⊙ C₂There are intersection point P₂And P₂Point Ordinate y_P2Meet y_P2>y_D1；It hits with phase conductor at present away from circle ⊙ C₃It hits with middle phase conductor away from circle ⊙ C₂Without intersection point, or there are intersection points P₃And P₃Point ordinate y_P3It hits less than middle phase conductor away from circle ⊙ C₂Vertical tangent point D₂Ordinate y_P3<y_D2；In addition it is hit over the ground away from r_gIt is small In D₂Point ordinate r_g<y_D2, i.e. y_P2>y_D1、y_P3<y_D2、r_g<y_D2When, middle phase conductor C₂Exposed range Z₂₃:

(3) situation 3: lightning current is larger, and upper phase conductor is hit away from circle ⊙ C₁It hits with middle phase conductor away from circle ⊙ C₂There are intersection point P₂And P₂Point Ordinate y_P2Meet y_P2<y_D1；It hits with phase conductor at present away from circle ⊙ C₃It hits with middle phase conductor away from circle ⊙ C₂There are intersection point P₃And P₃Point Ordinate y_P3Greater than D₂Point ordinate y_P3>y_D2, in addition hit over the ground away from r_gLess than D₂Point ordinate r_g<y_D2, i.e. y_P2<y_D1、y_P3>y_D2、 r_g<y_D2When, middle phase conductor C₂Exposed range Z₂₅:

In formula, x_P3For P₃Point abscissa, θ₃For ⊙ C₂Point vertical line and ⊙ C₂To ⊙ C₃Between line angle, r_c3For conducting wire C₃Hit Away from d₃For ⊙ C₂With ⊙ C₃Between distance；

In formula, x_E2For E₂Point abscissa；

(4) situation 4: lightning current continues to increase, and upper phase conductor is hit away from circle ⊙ C₁It hits with middle phase conductor away from circle ⊙ C₂There are intersection point P₂And P₂Point ordinate y_P2Meet y_P2>y_D1；It hits with phase conductor at present away from circle ⊙ C₃It hits with middle phase conductor away from circle ⊙ C₂There are intersection point P₃And P₃ Point ordinate y_P3Greater than D₂Point ordinate y_P3>y_D2；In addition it is hit over the ground away from r_gLess than P₃Point ordinate r_g<y_P3, i.e. y_P2>y_D1、y_P3> y_D2、r_g<y_P3When, middle phase conductor C₂Exposed range Z₂₇:

In formula, x_P3For P₃Point abscissa；

4. the multiple-circuit on same tower Characteristic of Lightning Shielding Failure analysis side of shielding action between meter according to claim 1 and conducting wire Method, which is characterized in that be based on same tower double back transmission line EGM model, calculate the exposed range of each phase conductor, wherein lower phase conductor Exposed range calculating include:

(1) situation 1: lightning current is smaller, and middle phase conductor is hit away from circle ⊙ C₂It hits with lower phase conductor away from circle ⊙ C₃There is no intersection points, or deposit In intersection point P₃And P₃Point ordinate y_P3It hits less than middle phase conductor away from circle ⊙ C₂Vertical tangent point D₂Ordinate y_P3<y_D2；In addition It is hit over the ground away from r_gIt hits less than lower phase conductor away from circle ⊙ C₃Vertical tangent point D₃Ordinate r_g<y_D3, i.e. y_P3<y_D2、r_g<y_D3When, Lower phase conductor C₃Exposed range Z₃₁:

Z₃₁=x_D3-x_D2=d₃sinθ₃+r_C3-r_C2

In formula, x_D3For D₃Point abscissa, x_D2For D₂Point abscissa；

y_P3<y_D2、r_g>y_D3When, lower phase conductor C₃Exposed range Z₃₂:

(2) situation 2: lightning current is larger, and middle phase conductor is hit away from circle ⊙ C₂It hits with lower phase conductor away from circle ⊙ C₃There are intersection point P₃And P₃Point Ordinate y_P3Meet y_P3>y_D2；In addition it is hit over the ground away from r_gLess than D₃Point ordinate r_g<y_D3, i.e. y_P3>y_D2、r_g<y_D3When, lower phase conductor C₃Exposed range Z₃₃:

In formula, x_P3For P₃Point abscissa；

y_P3>y_D2、r_g>y_D3When, lower phase conductor C₃Exposed range Z₃₄:

5. according to the resistance to thunder of multiple-circuit on same tower shielding of shielding action between the described in any item meters of claim 2~4 and conducting wire Energy analysis method, which is characterized in that according to the calculated result of exposed range, calculate corresponding critical lightning current, comprising:

Upper phase conductor C₁One of critical lightning current I_C11:

Upper phase conductor C₁Another critical lightning current I_C12:

Upper phase conductor C₁Critical lightning current I_C13:

r_g=h_C1

Upper phase conductor C₁Critical lightning current I_C14:

Upper phase conductor C₁Maximum shielding lightning current I_C1M1:

Upper phase conductor C₁Maximum shielding lightning current I_C1M2:

Upper phase conductor C₁Maximum shielding lightning current I_C1M3:

Middle phase conductor C₂Critical lightning current I_C21:

Middle phase conductor C₂Critical lightning current I_C22:

Middle phase conductor C₂Critical lightning current I_C23:

r_g=h_C2

Middle phase conductor C₂Another critical lightning current I_C24:

Middle phase conductor C₂Maximum shielding lightning current I_C2M1:

Middle phase conductor C₂Maximum shielding lightning current I_C2M2:

Middle phase conductor C₂Maximum shielding lightning current I_C2M3:

Lower phase conductor C₃Critical lightning current I_C31:

Lower phase conductor C₃One of critical lightning current I_C32:

Lower phase conductor C₃Maximum shielding lightning current I_C3M1:

Lower phase conductor C₃Maximum shielding lightning current I_C3M2:

Lower phase conductor C₃Maximum shielding lightning current I_C3M3:

6. the multiple-circuit on same tower Characteristic of Lightning Shielding Failure analysis side of shielding action between meter according to claim 5 and conducting wire Method, which is characterized in that according to the segmentation calculation formula of each phase conductor exposed range, under being corresponded in conjunction with different segmentation exposed ranges The critical amplitude of lightning current of upper and lower limit calculates the shielding probability of flashover of each phase conductor, comprising:

(1) phase conductor shielding flashover strike on

According to the horizontal I of the resistance to thunder of shielding_cAnd upper each critical lightning current I of phase conductor_C11、I_C12、I_C13、I_C14Relative size and it is maximum around Hit lightning current I_C1M3, exposed range Z is respectively segmented to upper phase conductor in formula₁The critical lightning current determination of the upper and lower limit of integral and total shielding Flashover strike calculation formula is as follows:

a)S_FFORC1=S_FFOR11+S_FFOR12+S_FFOR14

b)

c)

d)S'_F”_FORC1=S_FFOR13+S'_FFOR14

e)

I_C<I<I_C11<I_C12, I_C11>I_C1M1, I_C12>I_C13When:

f)

I_C<I<I_C11<I_C12, I_C11>I_C1M1, I_C12<I_C13When:

g)

Last integral upper limit be_IC1M2When:

h)i)

(2) phase conductor shielding flashover strike in

a)S_FFORC2=S_FFOR21+S_FFOR22+S_FFOR24

b)

c)

d)S'_F”_FORC2=S_FFOR23+S'_FFOR24

e)

I_C<I<I_C21<I_C22, I_C21>I_C2M1, I_C22>I_C23When:

f)

I_C<I<I_C21<I_C22, I_C21>I_C2M1, I_C22<I_C23When:

g)

Last integral upper limit be_IC2M2When:

h)i)

(3) phase conductor shielding flashover strike under

I_C<I<I_C32<I_C31, lower phase conductor shielding flashover strike s '_FFOR31:

2)I_C31<I<I_C32When, lower phase conductor shielding flashover strike S_FFOR32:

a)S_FFORC3=S_FFOR31+S_FFOR32+S'_FFOR32

b)

I_C31>I_C32, I_C31>I_C3M1, I_C3M1>I_C32When:

c)

Last integral upper limit be_IC3M2When: