CN103675509B - The method of double-track bank section electric railway tripping rate with lightning strike under evaluation and test AT modes - Google Patents
The method of double-track bank section electric railway tripping rate with lightning strike under evaluation and test AT modes Download PDFInfo
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Abstract
The invention discloses a kind of method of electric railway double-track bank segments contact net tripping rate with lightning strike under measurement AT power supply modes, the method includes：The first step, obtains electric railway line parameter circuit value；Second step, determines the influence area of the different thunderbolt types of contact net, calculates unilateral thunderbolt type boundary point coordinates；3rd step, calculates multiple line indirect lightning strike trip-out rate；4th step, calculates multiple line back flash-over rate；5th step, determines the total trip-out rate of multiple line.The method convenience of calculation, and solve the problems, such as electric railway tripping rate with lightning strike dyscalculia under AT power supply modes.
Description
Technical field
The present invention relates to electric railway double-track bank segments contact net tripping rate with lightning strike under one kind measurement AT power supply modes
Method, it is more particularly to a kind of AT power supply modes are calculated based on electric geometry method under electric railway double-track bank section connect
The method of net-fault indirect lightning strike, back flash-over rate, it is adaptable to electric railway lightning Protection Design and Lightning Transformation under AT power supply modes,
Belong to railway system's overvoltage field.
Background technology
Tractive power supply system lightning stroke trip has had a strong impact on the safe and stable operation of China's electric railway.To ensure train
Reliability of operation, the accurate tripping rate with lightning strike for calculating contact net supply line, assesses its influence to traction power supply reliability,
Often it needs to be determined that the tripping rate with lightning strike of contact net.At present, the electrification railway contact net thunderbolt type under AT power supply modes is divided into
Indirect lightning strike (thunderbolt the earth), two kinds of shielding (thunderbolt positive feeder, carrier cable, contact line), and data deficiencies were powered to AT in the past
The method that both tripping rate with lightning strike of electric railway carry out accurate calculating under mode, is electrified iron under China's AT power supply modes
Road carries out targetedly lightning Protection Design and brings very big difficulty with Lightning Transformation.
The content of the invention
It is an object of the invention to provide electric railway double-track bank segments contact net under one kind measurement AT power supply modes
The method of tripping rate with lightning strike, electric railway double-track bank segments contact net is every under can calculating AT power supply modes using the method
Hundred kilometers of year indirect lightning strike and back flash-over rate.
The present invention realizes that the know-why of above-mentioned purpose is using electricity under conventional electrical geometrical model analysis AT power supply modes
Indirect lightning strike, the shielding situation of gasification Double-Track Railway embankment segments contact net, its principle is as shown in Figure 1.Multiple line contacts barrier
Section is in symmetrical structure, it is assumed that left side is uplink, and right side is downlink, and O is the origin of coordinates, is held with up, downlink respectively
Power rope, positive feeder position are the center of circle, and carrier cable is hit away from r with lightning leaderc, lightning leader hit away from r to positive feedergFor radius is made
Camber line, then the earth is hit away from r with lightning leadereMake the straight line parallel to the earth, A, B, C, A ', B ' points, wherein h are intersected at respectivelyg
It is positive feeder to ground level, hcBe carrier cable to ground level, a is distance of the carrier cable to post inboard, and b is positive feeder to pillar
The distance of inner side, c is multiple line up and down line centre distance.Thunder and lightning falls on the left of A points and hits ground during A ' right sides, now connects
Induced overvoltage is produced on net-fault high-voltage conducting wires, that is, indirect lightning strike occurs；Thunder and lightning falls in the middle of 2 points of A, B and in 2 points of A ', B '
Between when, hit the positive feeder of contact net, fall when in the middle of 2 points of B, B ', hit carrier cable, both of these case all can be in contact net
, that is, there is shielding in upper generation shielding overvoltage.
Contact net up-downgoing structure is identical under normal circumstances, in order to simplify calculating, it can be assumed that A points left side and A ' right side
Indirect lightning strike siding-to-siding block length it is essentially equal, shielding siding-to-siding block length AB and A ' B ', BC and CB ' are equal respectively, now indirect lightning strike
Corresponding siding-to-siding block length is (- ∞, xa) interval 2 times, the corresponding siding-to-siding block length of shielding is (xa, xc) 2 times.Therefore, uplink
The indirect lightning strike on road, back flash-over rate are respectively equal to the indirect lightning strike of downgoing line, back flash-over rate, the induced lightening of double-track bank
Hit, back flash-over rate be respectively unilateral circuit (upstream or downstream) indirect lightning strike, 2 times of back flash-over rate.
The first step, obtains electric railway line parameter circuit value, including carrier cable, positive feeder are to ground level, carrier cable, positive feeder
To the distance of post inboard, multiple line up and down line centre distance, 50% impulse sparkover voltage of insulator chain, positive feeder half
Footpath, Thunderstorm Day, lightning strike density, insulator chain average running voltage gradient, pillar earth resistance, pillar equivalent inductance, lightning current
Wave head time, corona correction coefficient, inductance in parallel value of the adjacent positive feeder in pillar both sides etc..
Second step, determines the influence area of the different thunderbolt types of contact net, calculates the coordinate of unilateral separation A, C.
Coordinate system as shown in Figure 1 is set up, the corresponding coordinate of A points is (xa, ya), the corresponding coordinate of C points is (xc, yc),
A ' corresponding coordinate is (xa′, ya′).Now indirect lightning strike is corresponding interval for (- ∞, xa) and (xa′,+∞), shielding correspondence
Interval be (xa, xa′)。
According to the geometrical relationship of each point, the coordinate of unilateral separation A, C is calculated, each point coordinates is determined by following formula：
In formula：hgIt is positive feeder to ground level (unit：M), hcIt is carrier cable to ground level (unit：M), a is arrived for carrier cable
Distance (the unit of post inboard：M), b is distance (unit of the positive feeder to post inboard：M), c is in multiple line up and down line
Heart distance (unit：M), rcFor lightning leader is hit away from (unit to carrier cable：M), rgFor lightning leader is hit away from (unit to positive feeder：
M), reFor lightning leader is hit away from (unit to the earth：m).
rc、rgCan be calculated using following empirical equation：
Or
In formula：I is amplitude of lightning current (unit：KA), hcIt is carrier cable to ground level, hgIt is positive feeder to ground level.
a0、b0、c0Value can be carried out according to field experiment or analog line experimental result, it is also possible to reference to power system
Experience takes values below：
a0=10, b0=0.65；Or a0=0.67, b0=0.74, c0=0.6；Or a0=1.57, b0=0.69, c0=
0.45。
reCan be calculated as follows：
re=k2rc
Wherein k2It is striking distance factor, computing formula is as follows：
k2=1.066+hc/216.45
In formula：hcIt is carrier cable to ground level.
Or k2=22/h, or k2=1.94-h/26, or k2=1.08-h/59, or k2=1.05-h/87.
In formula：H is strut height (unit：m).
Calculated to simplify, can also make rc=rg=re。
3rd step, calculates multiple line indirect lightning strike trip-out rate.
First, unilateral indirect lightning strike interval (- ∞, x are calculated according to following formulaa) effective projected length：
Wherein：
In formula：I is amplitude of lightning current, hgIt is positive feeder to ground level, hcIt is carrier cable to ground level, k0For positive feeder with
Geometrical coupling ratio between carrier cable, U50%It is 50% impulse sparkover voltage (unit of insulator chain：kV).
k0Can be calculated as follows：
In formula：D ' is the distance (unit between carrier cable and positive feeder mirror image：M), d is the distance between carrier cable and positive feeder
(unit：M), hgBe positive feeder to ground level, r is positive feeder radius (unit：m).
Then, unilateral indirect lightning strike trip-out rate is calculated according to the following formula：
Then multiple line indirect lightning strike trip-out rate is：
Wherein：It is lightning strike density (unit：Secondary/km2My god), TdIt is Thunderstorm Day (unit：My god/year), f
(I) it is probability of lightning current density, η is to build lonely rate.
F (I) may be used to lower empirical equation and be calculated：
Or
Or
Or
Or
Or
The calculating of η can be carried out as the following formula：
η=(4.5E0.75-14)×10-2
In formula：E is insulator chain average running voltage gradient (unit：kV/m).
Calculate the lower limit of integral I in multiple line indirect lightning strike trip-out rate formulaeDetermine as the following formula：
Wherein：
In formula：β is pillar diverting coefficient, RiIt is pillar earth resistance (unit：Ω), k is between positive feeder and carrier cable
The coefficient of coup, LtPillar equivalent inductance (unit：μ H), τfIt is lightning current wave head time (unit：μs).
Wherein k=k1k0, k1It is corona correction coefficient, contact net desirable 1.15.
In formula：LgIt is the inductance in parallel value (unit of the adjacent positive feeder in pillar both sides：μH).
Upper limit of integral ImaxThe specific requirement value of significance level or industry according to circuit, it is also possible to be by distribution probability
Amplitude of lightning current when 90% or 99% is estimated.
4th step, calculates multiple line back flash-over rate according to the following formula：
In formula：It is unilateral back flash-over rate.
Lower limit of integral
Upper limit of integral ImaxValue is ibid.
5th step, total tripping rate with lightning strike of multiple line contact net is indirect lightning strike and back flash-over rate sum, i.e., according to the following formula
Calculate the total trip-out rate of multiple line：
N=ngy+nc
The solution have the advantages that using electric geometry method, it is proposed that electric railway is answered under a kind of AT power supply modes
Indirect lightning strike, the back flash-over rate computational methods of circuit dike segments contact net, solve electric railway thunder under AT power supply modes
Hit the problem of trip-out rate dyscalculia.
Brief description of the drawings
The present invention is further illustrated with reference to the accompanying drawings and examples.
Fig. 1 is double-track bank segments contact net electric geometry method schematic diagram
Specific embodiment
Below by example, with reference to accompanying drawing 1, technical scheme is further described.
The first step, obtains line parameter circuit value.Certain Double-Track Railway embankment section circuit, positive feeder distance to the ground 8m, carrier cable pair
Ground level 7.8m, away from post inboard 3m, positive feeder is away from post inboard 0.8m, the centre distance of multiple line up and down line for carrier cable
6m, positive feeder radius 6.25mm, insulator U50% discharge voltage 270kV, the μ s of lightning current wave head time 2.6, Thunderstorm Day 40 days,
Insulator chain average running voltage gradient 20.36kV, the Ω of pillar earth resistance 10, the μ H of pillar equivalent inductance 6.72, pillar both sides
The μ H of inductance in parallel value 36.85 of adjacent positive feeder, corona correction coefficient 1.15.
Calculate seasonAnd a0=10, b0=0.65；Choosing probability of lightning current density is
Second step, calculates indirect lightning strike, back flash-over rate upper limit of integral and lower limit.
Indirect lightning strike lower limit of integral I is calculated using above-mentioned formulaeFor：
Ie=58kA
ImaxAmplitude of lightning current when by distribution probability being 99% is estimated：
Imax=176kA
Calculate shielding range of integration Ic、ImaxFor：
Ic=3kA, Imax=176kA
3rd step, calculates multiple line indirect lightning strike trip-out rate.
Using A, C coordinate formula in indirect lightning strike lightning current bound interval range Ie~ImaxIt is interior to calculate A, C coordinate point
Cloth, it is determined that unilateral indirect lightning strike valid interval, recycles following formula to calculate multiple line indirect lightning strike trip-out rate：
Result of calculation is ngy=0.0983 time/100km.
4th step, calculates multiple line back flash-over rate.
Using A, C coordinate formula in shielding lightning current bound interval range Ic~ImaxIt is interior to calculate the distribution of A, C coordinate, really
The shielding influence of order side is interval, recycles following formula to calculate multiple line back flash-over rate：
Result of calculation is ng=6.4801 times/100km.
5th step, total trip-out rate is calculated using following formula：
N=ngy+nc
Result of calculation is n=6.5784 times/100km.
Claims (3)
1. under a kind of evaluation and test AT power supply modes electric railway double-track bank segments contact net tripping rate with lightning strike method, its feature
It is that it is comprised the following steps：
The first step, obtains electric railway line parameter circuit value, including carrier cable, positive feeder to ground level, carrier cable, positive feeder to branch
Distance on the inside of post, multiple line up and down line centre distance, 50% impulse sparkover voltage of insulator chain, positive feeder radius, thunder
Electric day, lightning strike density, insulator chain average running voltage gradient, pillar earth resistance, pillar equivalent inductance, during lightning current wave head
Between, corona correction coefficient, the inductance in parallel value of the adjacent positive feeder in pillar both sides；
Second step, calculates the coordinate of unilateral separation A, C, and computing formula is as follows：
In formula：hgIt is positive feeder to ground level, hcBe carrier cable to ground level, a is distance of the carrier cable to post inboard, and b is just
To the distance of post inboard, c is multiple line up and down line centre distance, r to feeder linecFor lightning leader hits away from r to carrier cablegIt is thunder
Electric guide hits away from r to positive feedereFor lightning leader to the earth hit away from；
3rd step, the influence for dividing different thunderbolt types is interval, and the corresponding siding-to-siding block length of indirect lightning strike is (- ∞, xa) interval 2
Times, the corresponding siding-to-siding block length of shielding is (xa, xc) 2 times；
4th step, calculates multiple line indirect lightning strike trip-out rate according to the following formula：
Wherein：It is lightning strike density, TdIt is Thunderstorm Day, f (I) is probability of lightning current density, and η is to build lonely rate, Δ L
It is effective projected length that indirect lightning strike is interval；
η computing formula are as follows：
η=(4.5E0.75-14)×10-2
In formula：E is insulator chain average running voltage gradient；
Probability of lightning current density f (I) computing formula is as follows：
Δ L computing formula are as follows：
Wherein：
In formula：I is amplitude of lightning current, hgIt is positive feeder to ground level, hcIt is carrier cable to ground level, k0It is positive feeder and load
Geometrical coupling ratio between rope, U50%It is 50% impulse sparkover voltage of insulator chain；
k0It is calculated as follows：
In formula：D ' is the distance between carrier cable and positive feeder mirror image, and d is the distance between carrier cable and positive feeder, hgIt is positive feeder pair
Ground level, r is positive feeder radius；
Calculate the lower limit of integral I in indirect lightning strike trip-out rate formulaeDetermine as the following formula：
Wherein：
In formula：β is pillar diverting coefficient, RiIt is pillar earth resistance, k is the coefficient of coup between positive feeder and carrier cable, LtFor
Pillar equivalent inductance, τfIt is the lightning current wave head time；
Wherein k=k1k0, k1It is corona correction coefficient, contact net takes 1.15；
In formula：LgIt is the inductance in parallel value of the adjacent positive feeder in pillar both sides；
Upper limit of integral ImaxThe specific requirement value of significance level or industry according to circuit, or by distribution probability be 90% or
Amplitude of lightning current when 99% is estimated；
5th step, calculates multiple line back flash-over rate according to the following formula：
Lower limit of integral in formula
Upper limit of integral ImaxThe specific requirement value of significance level or industry according to circuit, or by distribution probability be 90% or
Amplitude of lightning current when 99% is estimated；
6th step, calculates the total tripping rate with lightning strike of contact net multiple line according to the following formula：
N=ngy+nc
In formula：ngyIt is multiple line indirect lightning strike trip-out rate, ncIt is multiple line back flash-over rate.
2. a kind of method according to claim 1, it is characterised in that one side separation A, C coordinates are calculated in claim 1
Hitting away from r in formulac、rgCalculated with following empirical equation：
Or
In formula：I is amplitude of lightning current, hcIt is carrier cable to ground level, hgIt is positive feeder to ground level；
a0、b0、c0Value is carried out according to field experiment or analog line experimental result, or with reference to power system experience take it is following
Numerical value：
If pressing formulaCalculate, then a0=10, b0=0.65；If pressing formula Calculate, then a0=0.67, b0=0.74, c0=0.6；Or a0=1.57, b0=0.69, c0=0.45；
reIt is calculated as follows：
re=k2rc
Wherein k2It is striking distance factor, computing formula is as follows：
k2=1.066+hc/216.45
In formula：hcIt is carrier cable to ground level；
Or k2=22/h, or k2=1.94-h/26, or k2=1.08-h/59, or k2=1.05-h/87；
In formula：H is strut height；
Or calculated to simplify, make rc=rg=re。
3. a kind of method according to claim 1, it is characterised in that indirect lightning strike trip-out rate, shielding are jumped in claim 1
Probability of lightning current density f (I) in lock rate computing formula is calculated with following empirical equation：
Or
Or
Or
Or
In formula：I is amplitude of lightning current.
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