CN108153708A - A kind of computational methods for influencing rail potential current distribution - Google Patents
A kind of computational methods for influencing rail potential current distribution Download PDFInfo
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Abstract
The invention discloses a kind of computational methods for influencing rail potential current distribution, the back flow current for being summarized in traction substation is decomposed, and supply arm section is divided by different sections in the injection phase of rail according to each sub- back flow current according to injection rate of each back flow current on rail；For each sub- back flow current injected on rail, the differential equation of rail potential and rail current is write by row, when obtaining every sub- back flow current injection (outflow) rail ground return circuit, meter and the rail potential and rail current calculating formula of driving source response and perceptual interference in-field exciter response, and then according to boundary condition acquisition rail potential current distribution；Finally, rail potential, electric current caused by the sub- back flow current of all injections included in each section are overlapped, obtain rail potential, the current distribution that more following distances and grounding technology influence in accurate, meter and same supply arm.The present invention provides good basis for rail protection aspect in tractive power supply system.
Description
Technical field
The present invention relates to more following distances and grounding technologies in electric railway technical field, particularly meter and same supply arm
The computational methods influenced on rail potential current distribution.
Background technology
Rail as train rail and traction current circuit important component is portion critically important in the railway system
Point, electrical safety is affected by many factors, such as the Handling Measures of Higher Rail Potential caused by bleeder resistance is excessive.Train actual motion
In, excessively high rail potential and rail current can the normal operation of threat signal equipment and the person peaces of maintenance personnel and passenger
Entirely.Rail potential, electric current source mainly include back flow current injection (outflow) rail-ground return circuit driving source respond and lead
Draw net current in wire, other rail-ground return circuit electric current passes through the inductive coupled interference formed in studied rail-ground return circuit
Property in-field exciter response.
At present, many scholars have carried out theory deduction and software emulation to rail potential, electric current, but do not consider same confession
The situation of electric arm Nei Duoche operations.Compared to, only there are one during EMU operation, more vehicle operations are easier to cause in a supply arm
Excessively high rail potential and rail current, and influenced by more following distances.It is proposed that more following distances are to rail electricity in same supply arm
Position, current distribution affecting laws computational methods provide reference for the inhibition of rail overpotential and overcurrent.In addition, in view of motor-car
Nearby rail potential significantly increases group, system and personnel safety is threatened, to high ferro Traction networks rail voltage, electric current model solution base
The earthing mode of EMU is introduced on plinth, research relative influence is also necessary.
Invention content
The technical problems to be solved by the invention are to provide a kind of computational methods for influencing rail potential current distribution, for
The new analysis method of traction net unfolding under different power supply modes, establishes rail potential, the electric current system of complete analysis, and from row
Vehicle position carry out rail potential, electric current part research, and then from same supply arm Nei Duoche have operation when its spacing and
Train earthing mode angle proposes that rail crosses the braking measure of high potential, is provided for rail protection aspect in tractive power supply system good
Good basis.
In order to solve the above technical problems, the technical solution adopted by the present invention is：
A kind of computational methods for influencing rail potential current distribution, include the following steps：
Step 1：Consider the traction current of supply arm during the operation of more vehicles through multiple train working earthing points be implanted sequentially rail-
Ground return circuit system, and finally summarize the actual conditions of outflow in traction substation, total reflux of traction substation will be fed back to
Electric current is decomposed, the sub- back flow current after decomposition be it is each in rail-ground return circuit injection and in traction substation stream
The working earthing electric current gone out；
Step 2：The supply arm section studied is divided into the injection phase of rail according to each sub- back flow current simultaneously
Different sections；
Step 3：According to the actual conditions of tractive power supply system, rail-ground return circuit distributed constant equivalent model is built；Needle
To each injection in rail-ground return circuit, the sub- back flow current in traction substation outflow, analyze it and returned in rail-the earth
Generated in road driving source response, derive corresponding rail potential, electric current the differential equation；
Step 4：Consider the other each Traction networks current in wire and other rail-ground return circuit electricity corresponding to sub- back flow current
Stream generated in the rail-ground return circuit studied it is inductive coupled, with reference to the derivation of each current in wire distribution coefficient of Traction networks,
Row write the rail potential for considering perceptual interference incidence field excitation, current differential equation；
Step 5：Boundary condition is write by solving the differential equation and row, obtains every sub- back flow current injection rail-the earth
Circuit is corresponding, from traction substation to rail potential, current distribution accurate between the sub- back flow current decanting point；
Step 6：According to the sub- back flow current included in each section, the correlator back flow current being calculated is injected into steel
The corresponding rail potential of rail-ground return circuit, electric current superposition, obtain rail potential, the current distribution in each section；
Step 7：According to the length for travelling on each section of the distance between more each working earthing points of vehicle adjustment in same supply arm
Degree obtains in same supply arm more following distances and grounding technology to the affecting laws of rail potential, current distribution.
Further, in step 1, the traction current passes through the working earthing system of mobile transformer primary side, wheel pair
Rail-ground return circuit system is flowed into, is flowed back to traction substation.
Further, in step 3, the rail potential, electric current the differential equation be：
Wherein, r is rail-ground return circuit resistance of unit length, and I is studied total back flow current of rail by injection, and L is unit length
Rail-ground return circuit inductance, c be unit length rail-ground return circuit self-capacitance, g be unit length rail let out over the ground
Leakage conductance.
Further, in step 4, consider that the rail potential of perceptual interference incidence field excitation, current differential equation are：
Wherein, the total load current of supply arm is I ', Mg1Be Traction networks be transmitted back to conductance line and rail R1- ground return circuits it
Between unit length synthesis mutual inductance, Mg2It is the unit length between other rail-ground return circuits and rail R1- ground return circuits
Mutual inductance.
Compared with prior art, the beneficial effects of the invention are as follows：The present invention is ground in the calculating of existing rail potential current distribution
It introduces the factor of the operation of more vehicles and EMU ground connection distribution on the basis of studying carefully, while considers rail potential, electric current comprehensively
Main source, by combining the reality of electric railway in detail, the affecting laws that are obtained using this method for reduce rail potential,
The effective measures offer basis of electric current, to ensureing high speed and heavy haul railway safe and reliable operation, actively promoting high speed and heavily loaded iron
The development on road has great importance.
Description of the drawings
Fig. 1 is the back flow current that rail-ground return circuit is injected when operation has 2 CRH3 type EMU in same supply arm
Schematic diagram.
Fig. 2 is the rail-ground return circuit distributed parameter model for only considering a sub- back flow current injection.
Fig. 3 is electric substation to the equivalent schematic diagram between EMU.
Fig. 4 is the relative distance between CRH3 type Motor train unit body wheel shafts.
Fig. 5 is rail potential distribution when 2 CRH3 type EMU are run in the supply arm that example calculation obtains.
Fig. 6 is rail current distribution when 2 CRH3 type EMU are run in the supply arm that example calculation obtains.
Fig. 7 is the result of calculation that double following distances influence rail potential maximum in supply arm in example.
Fig. 8 is the result of calculation that double following distances influence rail current maximum in supply arm in example.
Fig. 9 is supply arm interior rail Potential distribution under the double following distances of the difference being calculated in example.
Figure 10 is supply arm interior rail current distribution under the double following distances of the difference being calculated in example.
Specific embodiment
With reference to figure, the present invention is described in further detail with specific embodiment.
By using directly in a manner of return wire traction power supply, in same supply arm operation have the feelings of 2 CRH3 type EMU
For condition, the present invention is further elaborated, is included the following steps：
Step 1：Consider that CRH3 type EMU there are 4 working earthing points, determine 8 parts of traction current point in supply arm
It is injected separately into rail-ground return circuit and summarizes outflow at traction substation；Total back flow current of traction substation will be fed back to
Resolve into 8 parts, at the same according to each sub- back flow current in the injection phase of rail by traction substation to from traction substation most
Section between the working earthing point of distant place is divided into 8 different sections.
Step 2：Only consider that single sub- back flow current is present in supply arm, according to direct band return wire tractive power supply system
Actual conditions derive corresponding rail potential current distribution.First, the equivalent mould of distributed constant of rail-ground return circuit is built
Type；Then, under the premise of driving source response and interference in-field exciter response is considered, with reference to the electricity of conducting wire each in Traction networks
Flow point distribution coefficient, row write rail potential, electric current the differential equation.Boundary condition is write by solving the differential equation and row, is obtained only
Consider the corresponding rail potential of single sub- back flow current, current distribution.
Step 3：According to the sub- back flow current included in 8 sections, each sub- back flow current pair that will be solved in step 2
The rail potential answered, electric current are superimposed accordingly, obtain rail potential, the current distribution in each section, and then obtain 2
Circuit when CRH3 types EMU operates in the same supply arm directly with return wire tractive power supply system simultaneously at certain intervals
Rail potential, current distribution；Spacing and working earthing point distribution by adjusting 2 EMU can obtain double following distances and connect
Ground technology is to the affecting laws of rail potential, current distribution.
Wherein, in the step 1, bullet train receives the traction current on contact net by the electrical contact of bow net, leads
Draw electric current by the working earthing system of mobile transformer primary side, wheel to flowing into rail-ground return circuit system, to traction substation
Reflux.CRH3 type EMU has 4 wheels to being provided with working earthing point, respectively 2,3 axis positioned at No. 2 car bodies and No. 7 car bodies
2nd, 3 axis.Therefore, when in same supply arm operation have 2 CRH3 type EMU when the total traction current of supply arm through two trains,
Divide 8 part injection rail-ground return circuits, and all feed back at traction substation.
As shown in Figure 1, the train that will be close to traction substation is denoted as EMU 1, the train far from traction substation is denoted as
EMU 2.8 sub- back flow currents are respectively the 2 of No. 2 car bodies 2 of EMU 1,3 axis and No. 7 car bodies 2,3 axis and EMU 2
Number car body 2,3 axis and No. 7 car bodies 2,3 axis are implanted sequentially, and the distance between corresponding decanting point and traction substation are denoted as respectively
l1、l2、l3、l4、l5、l6、l7、l8.According to the position of 2 row EMU working earthing points by traction substation to from traction substation
Circuit between farthest working earthing point is divided into 8 sections.As shown in Figure 1, No. 2 vehicles of the traction substation to EMU 1
Section between 2 axis of body is denoted as section 1, and the section between No. 22 axis of car body of EMU 1 and 3 axis is denoted as section 2, EMU 1
No. 23 axis of car body and No. 72 axis of car body between section be denoted as section 3, the road between No. 72 axis of car body of EMU 1 and 3 axis
Duan Jiwei sections 4, the section between No. 73 axis of car body of EMU 1 and No. 22 axis of car body of EMU 2 are denoted as section 5, motor-car
Section between No. 22 axis of car body and 3 axis of group 2 is denoted as section 6, between No. 23 axis of car body and No. 72 axis of car body of EMU 2
Section is denoted as section 7, and the section between No. 72 axis of car body of EMU 2 and 3 axis is denoted as section 8.Become in addition, traction will be fed back to
Electricity total current be denoted as I.Since two row EMU are same type EMU, it is assumed that the working earthing point that I injects rail at 8
Mean allocation.
In the step 2, only consider a sub- back flow current in the injection of rail-ground return circuit and at traction substation
Outflow situation, derive corresponding rail potential, current distribution.
First, according to the equivalent model of distributed constant structure rail-ground return circuit.As shown in Fig. 2, the model is substantially micro-
Member is made of that (r is the impedance Z dx=rdx+jwLdx that connects in rail-ground return circuit and admittance ydx=gdx+jwcdx in parallel
The rail of unit length-ground return circuit resistance, L be unit length rail-ground return circuit inductance, c be unit length rail-
Ground return circuit self-capacitance, g are the rail scatter admittance over the ground of unit length).After sub- back flow current injection rail, form rail and return
Galvanic electricity stream and line residual current electric current.Assuming that rail return current electric current is i (x), line residual current electric current is I/8-i (x), then rail return current
Electric current and line residual current the electric current caused unit length magnetic flux in rail-ground return circuit is respectivelyWith(in formula, μ is soil magnetic capacity, and D is even depth, r0Radius is calculated for rail).By rail-big
Earth-return unit length inductance is denoted as L, obtains rail return current electric current according to the direction of two back flow currents and line residual current electric current exists
The magnetic flux generated in rail-ground return circuit isTherefore, can only be considered
Rail potential, current differential equation during the driving source response that single sub- reflux injection (outflow) rail-ground return circuit generates：
Thereafter, consider inductive coupled interference in-field exciter response.Assuming that in the direct electric power system of return wire
Contact line, carrier cable, return wire current division ratio be respectively k1、k2、k3, the total load current of supply arm is I ', per height
The corresponding load current of back flow current be I '/8, then contact line, carrier cable, return wire electric current be (k respectively1I′)/8、
(k2I′)/8、(k3I′)/8.Assuming that the mutual inductance system between contact line, carrier cable, return wire and rail-ground return circuit for being studied
Number is respectively M10、M20、M30.Therefore the sense in unit length between the other conducting wires of Traction networks and studied rail R1- ground return circuits
The electromotive force is answered to be：
EP=j ω (- M10k1-M20k2+M30k3) (I'/8)=j ω Mg1·(I'/8) (2)
In formula, Mg1It is the unit length synthesis mutual inductance that Traction networks are transmitted back between conductance line and rail R1- ground return circuits.
For the current division ratio k in formula (2)1、k2、k3, the circuit that can combine tractive power supply system is calculated.
The conductor with the direct electric power system of return wire can be divided into from the angle of transmission and reflux：Contact line is led with carrier cable for transmission
Body, other conductors are reflux conductor.8 circuits can be formed two-by-two between transmission conductor and reflux conductor, i.e.,：Contact line and rail
R1, rail R2, return wire, circuit 1-4, carrier cable and rail R1, rail R2, return wire, the earth difference structure are greatly respectively constituted
Into circuit 5-8.Assuming that the unit length voltage drop in this 8 circuits is respectively Δ U1、ΔU2、···、ΔU8, this 8 circuits
Electric current is respectively I1、I2、···、I8, the self-induction in this 8 circuits and mutual inductance between any two are lij(i, j=1,2,
8).Then when power supply is sinusoidal excitation, the relationship that can be obtained between each loop voltage drop, loop inductance and each loop current is as follows：
Assuming that khi(i=1,2 ..., 8) is the current division ratio in i-th circuit.Obviously, there is I '=I1+I2+···+
I8、khi=Ii/ I ' (i=1,2 ..., 8).Since the numerous conductor lengths of Traction networks are longer and parallel, each circuit is parallel connection, at this time
The voltage drop in each circuit can be considered equal.It assume that each loop voltage is reduced to a constant c, i.e. Δ U1=Δ U2==
ΔU8=c.Therefore, matrix equation (3) can be converted to：
On the basis of mutual inductance in the self-induction for asking for 8 circuits and between any two, each circuit is obtained according to formula (4) solution
Current division ratio khi(i=1,2 ..., 8), and then according to the relationship (k of conductor current and loop current1=kh1+kh2+kh3+kh4
+kh5, k2=kh6+kh7+kh8+kh9+kh10, k3=kh3+kh7) obtain contact line, carrier cable, return wire current division ratio k1、
k2、k3。
Consider inductive coupled influence, using principle of stacking on the basis of formula (1), obtain the rail pair as shown in formula (5)
The calculating formula of ground potential and rail current.
The calculating formula of formula (5) is current potential and galvanometer formula on single steel rail.The other one steel rail R2 arranged side by side with R1
Can also generate induced potential in the R1- ground return circuits studied with ground return circuit influences.The symmetry and R1 and R2 of consideration system
Spaced apart to be attached, R1- ground return circuits and electric current in R2- ground return circuits and potential are equal.Assuming that rail R1- is big
Mutual inductance between earth-return and rail R2- ground return circuits is Mg2, in order to reflect, mutual inductance influences between rail-ground return circuit,
It can further be obtained using principle of stacking on the basis of formula (5)：
Formula (6) assumes that during only single sub- back flow current injection (outflow) rail-ground return circuit, considers driving source response
Rail potential, current differential equation with perceptual interference incidence field excitation.Solution formula (6), can obtain：
In formula,For propagation constant,For spy
Levy impedance or wave impedance.
As shown in figure 3, using traction substation position as 0 point of coordinate, sub- back flow current excitation injection point coordinates is x0.For
X=0, Z01Infinity distributed constant equiva lent impedance is corresponded to, then Z01=Zc.Corresponding boundary condition is arranged according to fig. 3：
For x=x0, Z02Infinity distributed constant equiva lent impedance is corresponded to, then Z02=Zc.Corresponding perimeter strip is arranged according to fig. 3
Part：
It can be obtained by solving formula (8) and formula (9)：
Formula (10) and formula (11) are substituted into formula (7) to obtain：
In the step 3, the sub- back flow current that is included in 8 sections according to Fig. 1 will solve what is obtained in step 2
Rail potential, electric current are superimposed accordingly, obtain the rail potential current distribution in each section.Wherein, the rail electricity in section 1
Position (u1And rail current (i (x))1(x)) it is that 8 sub- back flow currents flow into rail potential caused by (outflow) rail-ground return circuit
The superposition of electric current, the calculating formula after superposition are shown in formula (14) and formula (15)；Rail potential (the u in section 22(x)), electric current (i2(x)) it is
The superposition of rail potential electric current, is folded caused by flowing into (outflow) rail-ground return circuit far from the sub- back flow current of traction substation 7
Calculating formula after adding is shown in formula (16) and formula (17)；Rail potential (the u in section 33(x)), electric current (i3(x)) it is far from traction power transformation
6 sub- back flow currents flow into (outflow) rail-ground return circuits caused by rail potential electric current superposition, the calculating after superposition
Formula is shown in formula (18) and formula (19)；Rail potential (the u in section 44(x)), electric current (i4(x)) it is that 5 sons far from traction substation return
The superposition of rail potential electric current, the calculating formula after superposition are shown in formula (20) caused by galvanic electricity stream flows into (outflow) rail-ground return circuit
With formula (21)；Rail potential (the u in section 55(x)), electric current (i5(x)) it is that 4 sub- back flow currents far from traction substation flow into
The superposition of rail potential electric current caused by (outflow) rail-ground return circuit, the calculating formula after superposition are shown in formula (22) and formula (23)；Area
Between 6 rail potential (u6(x)), electric current (i6(x)) be far from 3 of traction substation back flow currents flow into (outflow) rail-
The superposition of rail potential electric current caused by ground return circuit, the calculating formula after superposition are shown in formula (24) and formula (25)；The rail electricity in section 7
Position (u7(x)), electric current (i7(x)) it is that 2 sub- back flow currents inflow (outflow) rail-ground return circuits far from traction substation are drawn
The superposition of the rail potential electric current risen, the calculating formula after superposition are shown in formula (26) and formula (27)；Rail potential (the u in section 88(x))、
Electric current (i8(x)) it is rail electricity caused by farthest away from sub- back flow current inflow (outflow) rail-ground return circuit of traction substation
The superposition of position electric current, the calculating formula after superposition are shown in formula (28) and formula (29).
Technical solution of the present invention and advantageous effect are described in detail and verified below by an example.
According to the initial parameter typically with return wire tractive power supply system, it is assumed that rail etc. during work frequency f=50Hz
Value resistance is 0.1367m Ω/m, the earth AC resistance is 0.049m Ω/m, the equivalent depth of the earth is 930m, rail radius is
In 0.01279m, rail inductance be 0.42972 μ Ω/m, by calculate rail-ground return circuit substitutional resistance r, equivalent inductance
L, equivalent capacitance c is respectively 0.184m Ω/m, 0.00267mH/m, 4.9736pF/m.In addition, rail-ground return circuit equivalet conductance
G takes 0.001S/m；Traction substation ground resistance Z0Take 0.3 Ω.With reference to typically with the original of return wire tractive power supply system
Parameter, it is assumed that contact line use CTS-150 models and its coordinate for (0m, 5.8m), carrier cable using JTMH-120 models and
Its coordinate is (0m, 6.7m), rail using the coordinate of 60kg models and R1 and R2 be respectively (- 0.7175m, 0m) and
(0.7175m, 0m), return wire use LBGLJ-185/25 models and its coordinate is (- 2.414m, 5.5m).By calculating
Contact line, carrier cable, return wire current division ratio k1、k2、k3Respectively 0.4888,0.5112,0.3511.Assuming that motor-car
Group 1 operates in position from traction substation 5km and EMU 2 operates in position from traction substation 20km, according to such as Fig. 4
The relative distance of shown CRH3 type EMU different type car body wheel between centers, obtains l in Fig. 11、l2、l3、l4、l5、l6、l7、l8
Respectively 5000m, 5014.9m, 5126.7m, 5141.6m, 20202.7m, 20217.6m, 20329.4m, 20344.3m.By phase
The value of pass is brought into formula (14)-formula (29), it is assumed that the total load current of supply arm is 560A, and obtaining operation in same supply arm has
Rail potential, current distribution difference during 2 CRH3 type EMU are as shown in Figure 5 and Figure 6.
It is assumed that EMU 2 operates in the position from traction substation 25km, 1 position of adjustment EMU obtains different double
Rail maximum potential and rail maximum current under following distance, as shown in Figure 7 and Figure 8.Wherein, double following distances be respectively 1km,
Rail potential and rail current distribution difference when 2km, 10km, 20km, 24km, 24.5km are as shown in Figure 9 and Figure 10.According to meter
It calculates as a result, double following distances that rail potential, electric current is made to be raised to peak can be obtained, can also obtain EMU grounding technology pair
EMU and its neighbouring rail potential, the affecting laws of current distribution characteristic.
Claims (4)
1. a kind of computational methods for influencing rail potential current distribution, which is characterized in that include the following steps：
Step 1：Consider that the traction current of supply arm during more vehicle operations is implanted sequentially rail-the earth through multiple train working earthing points
Circuit system, and finally summarize the actual conditions of outflow in traction substation, total back flow current of traction substation will be fed back to
It is decomposed, the sub- back flow current after decomposition is each injection in rail-ground return circuit and is flowed out in traction substation
Working earthing electric current；
Step 2：The supply arm section studied is divided by difference in the injection phase of rail according to each sub- back flow current simultaneously
Section；
Step 3：According to the actual conditions of tractive power supply system, rail-ground return circuit distributed constant equivalent model is built；For every
A injection in rail-ground return circuit, the sub- back flow current in traction substation outflow, analyze it in rail-ground return circuit
Generation driving source response, derive corresponding rail potential, electric current the differential equation；
Step 4：Consider that each Traction networks current in wire and other rail-ground return circuit electric current corresponding to sub- back flow current are being ground
Generate inductive coupled in the rail-ground return circuit studied carefully, with reference to the derivation of each current in wire distribution coefficient of Traction networks, row write consideration
The rail potential of perceptual interference incidence field excitation, current differential equation；
Step 5：Boundary condition is write by solving the differential equation and row, obtains every sub- back flow current injection rail-ground return circuit
It is corresponding, from traction substation to rail potential, current distribution accurate between the sub- back flow current decanting point；
Step 6：According to the sub- back flow current included in each section, the correlator back flow current being calculated is injected into rail-big
The corresponding rail potential of earth-return, electric current superposition, obtain rail potential, the current distribution in each section；
Step 7：According to the length for travelling on each section of the distance between more each working earthing points of vehicle adjustment in same supply arm, obtain
More following distances and grounding technology are to the affecting laws of rail potential, current distribution in same supply arm.
2. a kind of computational methods for influencing rail potential current distribution as described in claim 1, which is characterized in that in step 1
In, the traction current by the working earthing system of mobile transformer primary side, wheel to flowing into rail-ground return circuit system, to
Traction substation flows back.
3. a kind of computational methods for influencing rail potential current distribution as described in claim 1, which is characterized in that in step 3
In, the rail potential, electric current the differential equation be：Wherein, r is unit length
Rail-ground return circuit resistance, I studies total back flow current of rail by injection, and L is rail-ground return circuit of unit length
Inductance, c are rail-ground return circuit self-capacitance of unit length, and g is the rail scatter admittance over the ground of unit length.
4. a kind of computational methods for influencing rail potential current distribution as claimed in claim 3, which is characterized in that in step 4
In, consider that the rail potential of perceptual interference incidence field excitation, current differential equation are：
Wherein, the total load current of supply arm is I ', Mg1It is that Traction networks are transmitted back between conductance line and rail R1- ground return circuits
Unit length integrates mutual inductance, Mg2It is the unit length mutual inductance between other rail-ground return circuits and rail R1- ground return circuits
Coefficient.
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Cited By (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109142908A (en) * | 2018-06-29 | 2019-01-04 | 中电普瑞电力工程有限公司 | A kind of calculation method and system that stray electrical current influences substation grounding point current potential |
| CN110596537A (en) * | 2019-09-20 | 2019-12-20 | 中国铁路设计集团有限公司 | Intelligent comprehensive grounding state monitoring method and device applying traction power supply system |
| CN111709103A (en) * | 2020-05-18 | 2020-09-25 | 中铁二院工程集团有限责任公司 | Multi-conductor loop method-based traction network chain type parameter model with return line direct power supply mode |
| CN112084715A (en) * | 2020-09-14 | 2020-12-15 | 北京交通大学 | Subway substation steel rail potential calculation method |
| CN112356881A (en) * | 2020-09-27 | 2021-02-12 | 北京交通大学 | Train positioning method |
| CN112960015A (en) * | 2021-02-05 | 2021-06-15 | 北京交通大学 | Steel rail potential limiting method and device based on digital twinning technology |
Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101791986A (en) * | 2010-03-24 | 2010-08-04 | 西南交通大学 | Method for online monitoring of propagation constant of electrified railway track |
| WO2011159327A3 (en) * | 2010-06-15 | 2012-04-26 | General Electric Company | Control assembly and control method for supplying power to electrified rail vehicles |
| CN106427670A (en) * | 2016-07-09 | 2017-02-22 | 中铁二院工程集团有限责任公司 | Calculation method of comprehensive current carrying capacity of traction electric network in direct feed manner with return cable for electrified railway |
| CN106541856A (en) * | 2016-12-06 | 2017-03-29 | 西南交通大学 | The computational methods of electrical couplings function coefficient in EMUs earth-return circuit |
-
2017
- 2017-12-19 CN CN201711370956.0A patent/CN108153708B/en not_active Expired - Fee Related
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101791986A (en) * | 2010-03-24 | 2010-08-04 | 西南交通大学 | Method for online monitoring of propagation constant of electrified railway track |
| WO2011159327A3 (en) * | 2010-06-15 | 2012-04-26 | General Electric Company | Control assembly and control method for supplying power to electrified rail vehicles |
| CN106427670A (en) * | 2016-07-09 | 2017-02-22 | 中铁二院工程集团有限责任公司 | Calculation method of comprehensive current carrying capacity of traction electric network in direct feed manner with return cable for electrified railway |
| CN106541856A (en) * | 2016-12-06 | 2017-03-29 | 西南交通大学 | The computational methods of electrical couplings function coefficient in EMUs earth-return circuit |
Non-Patent Citations (2)
| Title |
|---|
| ADE OGUNSOLA 等: "Estimation of Stray Current From a DC-Electrified Railway and Impressed Potential on a Buried Pipe", 《IEEE TRANSACTIONS ON POWER DELIVERY》 * |
| 董安平: "高速重载电气化铁路钢轨电位产生机理与抑制方法的研究", 《中国博士学位论文全文数据库 工程科技Ⅱ辑》 * |
Cited By (9)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109142908A (en) * | 2018-06-29 | 2019-01-04 | 中电普瑞电力工程有限公司 | A kind of calculation method and system that stray electrical current influences substation grounding point current potential |
| CN109142908B (en) * | 2018-06-29 | 2023-07-18 | 中电普瑞电力工程有限公司 | Calculation method and system for influence of stray current on grounding point potential of transformer substation |
| CN110596537A (en) * | 2019-09-20 | 2019-12-20 | 中国铁路设计集团有限公司 | Intelligent comprehensive grounding state monitoring method and device applying traction power supply system |
| CN110596537B (en) * | 2019-09-20 | 2022-07-19 | 中国铁路设计集团有限公司 | Intelligent comprehensive grounding state monitoring method applying traction power supply system |
| CN111709103A (en) * | 2020-05-18 | 2020-09-25 | 中铁二院工程集团有限责任公司 | Multi-conductor loop method-based traction network chain type parameter model with return line direct power supply mode |
| CN112084715A (en) * | 2020-09-14 | 2020-12-15 | 北京交通大学 | Subway substation steel rail potential calculation method |
| CN112356881A (en) * | 2020-09-27 | 2021-02-12 | 北京交通大学 | Train positioning method |
| CN112960015A (en) * | 2021-02-05 | 2021-06-15 | 北京交通大学 | Steel rail potential limiting method and device based on digital twinning technology |
| CN112960015B (en) * | 2021-02-05 | 2022-05-06 | 北京交通大学 | Steel rail potential limiting method and device based on digital twinning technology |
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