CN108562782A - A kind of acquisition methods of stray electrical current and the detecting system of stray electrical current - Google Patents
A kind of acquisition methods of stray electrical current and the detecting system of stray electrical current Download PDFInfo
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Abstract
The invention discloses the detecting systems of a kind of acquisition methods of stray electrical current and stray electrical current, including step 1：Acquire the detection data of each stray current detecting device；Step 2：It calculates the polarization potential of stray current detecting device and is normalized to obtain reduction polarization potential；Step 3：The track potential of stray current detecting device is calculated, and calculates the track current of stray current detecting device；Step 4：The traction current of current train is obtained, and calculates the stray electrical current of stray current detecting device；Step 5：The running environment of current train is obtained, and builds fitting data set；Step 6：One Dimensional Polynomial curve matching is carried out to the data in each fitting data set using least square method and obtains the distribution function of stray electrical current.The present invention provides the acquisition modes of stray electrical current in current time power supply section, can get concrete numerical value so that can more timely and effectively monitor stray electrical current.
Description
Technical field
The invention belongs to technical field of rail traffic, and in particular to the acquisition methods of stray electrical current a kind of and stray electrical current
Detecting system.
Background technology
Urban track traffic plays huge economy and social agency in solving big and medium-sized cities traffic problems.However rail
Road traffic to people life bring convenience while, also there is the problem of some can not be ignored, due to rail of subway it is difficult to
Accomplish to the completely insulated of the earth, therefore some electric current leaks into underground through rail, this portion of electrical current is referred to as stray electrical current
Or fan's stream.Stray electrical current will be distributed over subway line extension each region, stray electrical current not only to city rail systematically under
Or the metal component on ground, building generate serious electrochemical corrosion (1A stray electrical currents 1 year can by caused metal weightlessness
Up to 9.13kg), if Hong Kong is once because metro stray current causes the corrosion failure of gas piping, and the accident of gas leak is caused,
The case where water pipe corrosion failure, often occurs near Beijing, Tianjin Underground；Simultaneously also the power grid to arround generate it is extremely disadvantageous
It influences, if stray electrical current makes power transformer generate D.C. magnetic biasing, the increasing of transformer station high-voltage side bus noise, system harmonics is caused to increase,
The serious consequences such as protective relaying maloperation.
Existing Metro Stray Current Monitoring system is by monitoring polarization potential, considering stray electrical current size indirectly.It adopts
It uses long-acting reference electrode as measurement sensor, measures the potential difference between metallic conduit surface and reference electrode, i.e. reference potential.
In the case where no stray electrical current disturbs, a stationary value is presented in the Potential distribution of measurement, this stable potential is natural ontology electricity
Position.Buried metal structure is influenced by stray electrical current interference, and voltage, that is, reference potential compared to reference electrode can deviate nature
Body potential.The average value for deviating nature body potential within a certain period of time through survey calculation is polarization potential.Rail structure current potential
It is the voltage measured between track and side wall construction steel.《Metro stray current corrosion guard technology regulation CJJ49-1992》Rule
It is fixed：For the reinforcing bar of armored concrete quality iron agent structure, dangerous voltage 0.5V is not to be exceeded in polarization potential forward migration amount.
But applied to scene, technical staff indicates polarization potential preferably not more than 0.3V.Therefore, existing reflection stray electrical current is distributed feelings
The polarization potential monitoring method of condition can not learn that stray electrical current is distributed concrete numerical value in section, it is difficult to estimate be chronically at critical danger
The corrosion condition of the buried metal of dangerous voltage, there are security risks；Simultaneously as polarization potential is to obtained by different reference electrodes
Offset, present diversity be also difficult to establish direct numerical value with corrosion characteristics amount, transformer DC magnetic bias characteristic quantity
Contact.
In conclusion influence of the metro stray current to corrosion of buried metal, surrounding power grid increasingly sharpens, and the prior art
It is only capable of reflecting stray electrical current distribution situation indirectly, can not directly calculate stray electrical current numerical value, lead to not timely and effectively real
The protection and monitoring of existing stray electrical current.
Invention content
The object of the present invention is to provide the detecting systems of a kind of acquisition methods of stray electrical current and stray electrical current, will be with polarization
Current potential reflects that the conventional monitoring methods of stray electrical current distribution are changed into and directly calculates stray electrical current numerical value indirectly, pre- to quantitative analysis
Survey corrosion of buried metal, assessment surrounding power grid degree of susceptibility has directive significance.
On the one hand, the present invention provides a kind of acquisition methods of stray electrical current, includes the following steps：
Step 1：Acquire the detection data of the stray current detecting device in the power supply section of train traction electric substation；
Wherein, stray current detecting device, the detection of each stray current detecting device are set in the power supply section
Data include natural ontology current potential, reference potential, rail structure current potential；
Step 2：The polarization potential of stray current detecting device is calculated, and each polarization potential is normalized
Obtain reduction polarization potential；
Wherein, the polarization potential of each stray current detecting device is equal to the reference potential of same stray current detecting device
And the difference of natural ontology current potential；
Step 3：The track potential of stray current detecting device is calculated, and is calculated based on Ohm's law and track potential
The corresponding track current of stray current detecting device；
The track potential of each stray current detecting device is equal to the rail structure current potential of same stray current detecting device and returns
Calculate the sum of polarization potential；
Wherein, the stray current detecting device for calculating track current is the last one non-stray electrical in the power supply section
Flow detection device；
Step 4：The traction current of current train is obtained, and calculates the corresponding stray electrical current of stray current detecting device；
Wherein, the corresponding stray electrical current of stray current detecting device is equal to traction current and same stray current detecting device
The difference of corresponding track current；
Step 5：The running environment of current train is obtained, and miscellaneous based on what is obtained in current running environment and step 4
Dissipate the corresponding stray electrical current of current sensing means, the orbital position coordinate of corresponding stray current detecting device builds fitting data collection
It closes；
Wherein, fitting sampled point will be used as at the stray current detecting device that stray electrical current is calculated in step 4, it is described quasi-
Data acquisition system is closed to be made of the orbital position coordinate of fitting sampled point and corresponding stray electrical current；
The running environment is divided into the single-ended power powered by single traction substation and is powered by two traction substations
Both end power supplying, if current running environment is single-ended power, step 5 constructs a fitting data set；If both-end
Power supply, then step 5 constructs two fitting data set, and the fitting sampled point in described two fitting data set is to work as forefront
Vehicle position is separation；
Step 6：One Dimensional Polynomial curve matching is carried out to the data in each fitting data set using least square method
Obtain the distribution function of stray electrical current；
The present invention carries out calculation processing using the detection data of existing stray current detecting device and obtains stray electrical current inspection
The stray electrical current for surveying device, the fitting for recycling the stray electrical current of its stray current detecting device and orbital position coordinate to constitute
Data acquisition system is fitted to obtain using orbital position as independent variable, and stray electrical current match value is the function of dependent variable, and then obtains
The calculation formula of current time stray electrical current then will track position be asked that is, to the stray electrical current for obtaining wild trajectory position
It sets in the distribution function of coordinate substitution stray electrical current and obtains stray electrical current match value, as spuious at orbital position to be asked
Electric current.At the same time, the present invention considers the difference that stray electrical current is distributed under single-ended power and both end power supplying, and single-ended and both-end is supplied
The feature of stray electrical current distribution under electricity is added in fit procedure, improves the reliability of fitting result.Wherein, single-ended power corresponds to
Stray electrical current distribution characteristics be：Stray electrical current is parabolically distributed, and zero crossing is traction substation position and train position；It is double
Power corresponding stray electrical current distribution characteristics of end is：Stray electrical current is two continuous parabolic distributions, and zero crossing is two tractions
Electric substation position and train position, therefore a fitting data set is only obtained under single-ended power, and then be fitted and obtain one one
Polynomial curve is tieed up, two fitting data set are obtained under both end power supplying, and then be fitted and obtain two One Dimensional Polynomial curves, it is miscellaneous
The distribution function for dissipating electric current is piecewise function.
Further preferably, above-mentioned further includes that abnormal data screening and processing, implementation procedure are as follows：
Step 7：The distribution function for the stray electrical current that foundation step 6 obtains, which calculates, obtains the miscellaneous of stray electrical current in step 4
Dissipate the stray electrical current match value at current sensing means；
Step 8：The potential energy at the stray current detecting device for obtaining stray electrical current in step 4 is calculated separately, and is sentenced respectively
It is disconnected whether to be greater than or equal to 0.02, if there are the potential energy of stray current detecting device to be greater than or equal to 0.02, reject described spuious
The data of fitting sampled point at current sensing means, and re-execute step 6；Otherwise, the distribution function of the stray electrical current
For required stray electrical current calculation formula；
Wherein, the potential energy calculation formula of stray current detecting device is as follows：
In formula, Ek、IskCalculated in step 4 respectively in the stray current detecting device of stray electrical current k-th it is spuious
Potential energy, stray electrical current match value, the stray electrical current of current sensing means, S-1 are the stray electrical that stray electrical current is calculated in step 4
The quantity of flow detection device.
The present invention filters out abnormal data by the above method and rejects, then is fitted again, and then improves fitting effect
Reliability.Existing Metro Stray Current Monitoring system mostly uses distributed sensor, and data transmission depends on test cable, due to
The particularity of metro environment, cable is inevitably by caused by moist, infiltration and high-ground stress effect and stray electrical current
The factors such as electromagnetic interference influence, the problems such as easily causing loss of data in data transmission procedure, data skew, thus can draw
Send out scramble current monitoring system accidentally hair pre-warning signal or leakage hair pre-warning signal.Therefore, present invention reduces difficult in the prior art
To evade error caused by wrong data.
Further preferably, if the running environment of current train is single-ended power, in the fitting data set built in step 5
Fitting sampled point further include stray electrical current zero crossing under single-ended power；
Wherein, the stray electrical current zero crossing under single-ended power is traction substation position and train position；
If the running environment of current train is both end power supplying, the first fitting data collection in described two fitting data set
It closes and is respectively less than or equal to, more than or equal to train with the orbital position coordinate of fitting sampled point in the second fitting data set
Orbital position coordinate；
Wherein, the fitting sampled point in the first fitting data set is that both end power supplying lower railway position coordinates are less than or equal to
The stray electrical current zero crossing and step 4 of train rail position coordinates calculate in the stray current detecting device of stray electrical current
Orbital position coordinate is less than or equal at the stray current detecting device of train rail position coordinates；
Fitting sampled point in second fitting data is that both end power supplying lower railway position coordinates are greater than or equal to train
The stray electrical current zero crossing and step 4 of orbital position coordinate calculate the stray current detecting device middle orbit of stray electrical current
Position coordinates are greater than or equal at the stray current detecting device of train rail position coordinates；
Wherein, the stray electrical current zero crossing under both end power supplying is two traction substation positions and train position.
Zero crossing under single-ended power, the zero crossing under both end power supplying are added in fitting data set, can be improved
The reliability of fitting result makes stray electrical current distribution function be more in line with its theoretical distribution feature.
Further preferably, if the running environment of current train is both end power supplying, the described two fitting numbers built in step 5
It is small according to the orbital position coordinate difference for being fitted sampled point in the first fitting data set and the second fitting data set in set
In or be equal to, more than or equal to the orbital position coordinate of train；
Wherein, the fitting sampled point in the first fitting data set is the stray electrical current inspection that step 4 calculates stray electrical current
Device middle orbit position coordinates are surveyed to be less than or equal at the stray current detecting device of train rail position coordinates；
Fitting sampled point in second fitting data is the stray current detecting device that step 4 calculates stray electrical current
Middle orbit position coordinates are greater than or equal at the stray current detecting device of train rail position coordinates.
One Dimensional Polynomial is carried out in step 6 to the data in each fitting data set using least square method to be fitted to obtain
One One Dimensional Polynomial curve, wherein the fit procedure of each One Dimensional Polynomial curve is as follows：
First, intermediate parameters R is calculated using the data in fitting data set and according to following formula2；
In formula, IsjFor the stray electrical current of j-th of fitting sampled point in fitting data set, xjIt is in fitting data set
The orbital position coordinate of j fitting sampled point, M are the number that sampled point is fitted in fitting data set, a0、a1、anIt is one-dimensional
The coefficient of polynomial curve, n are non-negative integer；
If single-ended power, the value range for being fitted the number M of sampled point is：S-1≤M≤S+1
If the both end power supplying and fitting data collection is combined into the first fitting data set, the value range of number M is：N1
≤M≤N1+2；
If the both end power supplying and fitting data collection is combined into the second fitting data set, the value range of number M is：N2
≤M≤N2+2；
N1、N2It is corresponded in the first fitting data set, the second fitting data set respectively under both end power supplying spuious
The fitting sampled point number of current sensing means, and number N1、N2The sum of be equal to S-1, S-1 be step 4 in calculate stray electrical current
Stray current detecting device quantity；
Then, intermediate parameters R is calculated2To the local derviation of the coefficient of One Dimensional Polynomial；
In formula, aiFor the coefficient of One Dimensional Polynomial curve；
Finally, according to intermediate parameters R2One Dimensional Polynomial is calculated to the extremum conditions of the local derviation of the coefficient of One Dimensional Polynomial
All coefficients of curve obtain the One Dimensional Polynomial curve of stray electrical current distribution；
Extremum conditions is as follows：
The calculation formula for obtaining all coefficients of One Dimensional Polynomial curve is as follows：
The present invention goes out One Dimensional Polynomial curve first with least square fitting, and only there are one fitting data collection under single-ended power
It closes, and then is fitted and obtains an One Dimensional Polynomial curve；There are two fitting data set under both end power supplying, and then are fitted and obtain two
A One Dimensional Polynomial curve, i.e. piecewise fitting.
Further preferably, each polarization potential is normalized in step 2 to obtain the mistake of reduction polarization potential
Journey is as follows：
First, selected from the natural ontology current potential of all stray current detecting devices one as standard natural ontology electricity
Position；
Then, the natural ontology current potential of the stray current detecting device of non-standard natural ontology current potential and the standard are calculated
Voltage difference between natural ontology current potential, then calculate the reduction pole of the stray current detecting device of non-standard natural ontology current potential
Change current potential；The reduction polarization potential of the stray current detecting device of standard natural ontology current potential is equal to polarization potential；
Wherein, the calculation formula of the corresponding voltage difference of non-standard natural ontology current potential and reduction polarization potential is as follows：
ΔUbt(k-i)=Ubtk-UBT
Ujhk'=Ujhk+ΔUbt(k-i)
In formula, Δ Ubt(k-i)、UbtkThe natural local of k-th of stray current detecting device in the respectively described power supply section
Voltage difference between current potential and standard natural ontology current potential, naturally this ground potential, UBTFor standard natural ontology current potential, and to choose
I-th of stray current detecting device natural ontology current potential；
Ujhk'、UjhkReduction polarization potential, the polarization potential of respectively k-th stray current detecting device, k, i are just
Integer.
Further preferably, the calculation formula that the corresponding track current of stray current detecting device is calculated in step 3 is as follows：
In formula, IkFor the corresponding track current of k-th of stray current detecting device in the power supply section, Ugg(k+1)、Uggk
Be respectively kth+1, k-th stray current detecting device rail structure current potential, Ujh(k+1)'、Ujhk' be respectively kth+1, k-th it is spuious
The reduction polarization potential of current sensing means, RgFor track longitudinal electrical resistance, k is positive integer.
Further preferably, S stray current detecting device, step 3 and step 4 difference are provided in the power supply section
For the corresponding track current of preceding S-1 stray current detecting device, stray electrical current in the calculating power supply section；
Wherein, S is positive integer.
On the other hand, the present invention provides a kind of detecting system of stray electrical current, includes and is connected with each other host computer and stray electrical current
Detection device, the stray current detecting device are arranged in the power supply section of train traction electric substation, different stray electrical current inspections
It surveys device and corresponds to power supply section inner orbit different location；
Wherein, it is set on stray current detecting device there are three lead-in, the respectively lead-in of reference electrode, structural steel draws
Terminal line, the track potential gone out measures lead-in；The host computer utilizes the testing number of each stray current detecting device acquisition
According to the distribution function for fitting stray electrical current；
The host computer is used to calculate the distribution letter of stray electrical current using the method for step 2- steps 6 in claim 1
Number.
Stray current detecting device used in the present invention is existing stray current detecting device.
Further preferably, the stray current detecting device in the power supply section is equidistantly distributed.
Advantageous effect
Advantages of the present invention has：
1, the present invention utilizes the detection data of stray current detecting device to calculate stray current detecting device corresponding
Stray electrical current recycles least square method to carry out fitting of a polynomial to the data of stray electrical current, position coordinates and obtains stray electrical current
Distribution function, residual error is small, and computational solution precision is high, since the distribution function of stray electrical current is the stray electrical current at current time
Calculation formula, therefore traditional scramble current monitoring system is reflected that stray electrical current distribution situation is changed into direct meter by the present invention indirectly
Stray electrical current numerical values recited is calculated, to investigating and predicting that corrosion of buried metal situation, assessment surrounding power grid degree of susceptibility all have
Directive significance.At the same time, fit procedure is in view of the stray electrical current distribution characteristics under single-ended power and both end power supplying, Jin Erti
The reliability of high fitting result.
2, in view of in actual field, polarization potential is the offset data for different reference electrodes record, and the present invention is by pole
It is the offset data to same reference electrode to change current potential reduction, and result of calculation is more acurrate.
3, present invention introduces potential-energy functions to calculate data point difference square corresponding with fitting function, can effective debug
Point ensures the correctness of fitting.
Description of the drawings
Fig. 1 stray current detecting device distribution schematic diagrams.
Fig. 2 stray current detecting device potential measurement key wiring diagrams.
Stray current detecting device potential measurement equivalent circuit diagram when Fig. 3 subway circulations.
Fig. 4 subway circulation traction current curves.
Stray current detecting device potential measurement equivalent circuit diagram when subway circulation under Fig. 5 single-ended powers.
Stray current detecting device potential measurement equivalent circuit diagram when subway circulation under Fig. 6 both end power supplyings.
The stray electrical current distribution profile feature that Fig. 7 differences are powered under environment.
The distribution function result of calculation (containing wrong data) of stray electrical current of the present invention under Fig. 8 single-ended powers.
The distribution function result of calculation (rejecting wrong data) of stray electrical current of the present invention under Fig. 9 single-ended powers.
Figure 10 CDEGS emulate single-ended power stray electrical current distribution results.
The distribution function result of calculation of stray electrical current of the present invention under Figure 11 both end power supplyings.
Figure 12 CDEGS emulate both end power supplying stray electrical current distribution results.
Figure 13 is a kind of flow diagram of the computational methods of stray electrical current provided by the invention.
Specific implementation mode
Below in conjunction with embodiment, the present invention is described further.
Present disclosure is described further and is explained below in conjunction with attached drawing.As shown in figure 13, provided by the invention
A kind of stray electrical current acquisition methods include the following steps：
Step 1：Acquire the detection data of each stray current detecting device in the power supply section of train traction electric substation.
As shown in Figure 1, in two traction substation of subway power supply section, stray current detecting device is installed.Stray electrical current
Depending on detection device quantity is according to siding-to-siding block length, such as setting 6 or 8, each stray current detecting device is through communication cable phase
Even, and detection data (natural ontology current potential, reference potential, rail structure current potential) is sent to host computer and carries out backstage record and meter
It calculates.Wherein, stray current detecting device can be generally evenly distributed in power supply section, can also be set according to actual conditions, such as
In the area setting multiple spot stray current detecting device that humidity is larger, underground piping is more intensive.
Wherein, S stray current detecting device is set gradually in power supply section in the present embodiment, wherein each stray electrical
The detection data of flow detection device is applied, i.e., is chosen as fitting data in step 5 at preceding S-1 stray current detecting device
Fitting sampled point in set.In other feasible embodiments, the stray electrical in power supply section can be chosen according to actual demand
Flow detection device acquires corresponding detection data as fitting sampled point.
As shown in Fig. 2, the measurement point of this stray current detecting device is to be embedded to a long-acting reference electricity in tunnel-side
Pole is used for the voltage U of measurement structure steel and side wall reference electrodecb.Rail structure current potential UggIt is the electricity measured between track and structural steel
Pressure.So sharing 3 conducting wires introduces stray current detecting device, it is the lead-in of 1 reference electrode respectively, 1 root architecture steel draws
The terminal line gone out, 1 track potential measure lead-in.It should be appreciated that the measurement point of each stray current detecting device is required for
One long-acting reference electrode, long-acting refers to that the reference electrode keeps current potential to stablize for a long time.Stray current detecting device can be simultaneously
Instantaneous voltage between measurement structure steel and reference electrode, as reference potential Ucb；Instantaneous voltage between track and structural steel,
As rail structure current potential Ugg, and when night subway train is stopped transport automatic measurement structural steel natural ontology current potential Ubt.The present embodiment
In be equipped with S stray current detecting device, the then corresponding reference potential of k-th of stray current detecting device, rail structure current potential, nature
Body potential is expressed as Ucbk、Uggk、Ubtk。
Step 2：The polarization potential of each stray current detecting device is calculated, and each polarization potential is normalized
Processing obtains reduction polarization potential.
According to above-mentioned monitoring data, polarization potential U can be calculated in host computerjh.Polarization potential UjhFor reference potential UcbCompared with
In natural ontology current potential UbtVoltage deviation, i.e. Ujh=Ucb-Ubt, it follows that the pole of k-th of stray current detecting device
Change current potential Ujhk=Ucbk-Ubtk。
As shown in figure 3, doing equivalent circuit diagram according to stray current detecting device measuring principle.Due in actual field, pole
Change current potential Ujhk(k is sensor number) is the offset data for different reference electrodes record, i.e., the current potential of reference electrode is not
Deng need to be by polarization potential UjhkArrangement is the offset data to same reference electrode, i.e., by different reference electrodes, by a certain nature
Body potential carries out reduction.The natural ontology current potential U of the 1st stray current detecting device is chosen in the present embodimentbt1As standard
Natural ontology current potential UBT.Reduction principle and process are as follows：
Ujh1=Ucb1-Ubt1 (1)
Ujh2=Ucb2-Ubt2 (2)
Ujhk=Ucbk-Ubtk (3)
Reduction polarization potential after reduction is：
Ujh2'=Ucb2-UBT=Ucb2-Ubt1 (4)
Ujhk'=Ucbk-UBT=Ucbk-Ubt1 (5)
Formula (1) and formula (2) are summed, formula (1) is summed with formula (3), can be obtained
Ucb2-Ubt1=Ubt2-Ucb1+Ujh1+Ujh2=Ubt2-Ubt1+Ujh2 (6)
Ucbk-Ubt1=Ubtk-Ucb1+Ujh1+Ujhk=Ubtk-Ubt1+Ujhk (7)
Remember Δ Ubt(2-1)=Ubt2-Ubt1, Δ Ubt(k-1)=Ubtk-Ubt1, polarization potential Reducing Caculus is
Ujh2'=Ucb2-Ubt1=Ujh2+ΔUbt(2-1) (8)
Ujhk'=Ucbk-Ubt1=Ujhk+ΔUbt(k-1) (9)
Therefore, to the polarization potential U of arbitrary stray current detecting devicejhk, stray current detecting device after reduction returns
Calculate polarization potential Ujhk' be：
Ujhk'=Ujhk+ΔUbt(k-i), Δ Ubt(k-i)=Ubtk-UBT (10)
In other feasible embodiments, any one stray current detecting device in stray current detecting device can be chosen
Natural ontology current potential as standard natural ontology current potential UBT。
Step 3：The corresponding track potential of each stray current detecting device is calculated, and based on Ohm's law and track electricity
The corresponding track current of S-1 stray current detecting device before position calculates.
Wherein, the corresponding track potential of each stray current detecting device is equal to the rail structure of same stray current detecting device
The sum of current potential and reduction polarization potential.Following formula：
Ug1=Ujh1'+Ugg1 (11)
Ugk=Ujhk'+Uggk (12)
In formula, Ug1、UgkFor the track potential of first and k-th stray current detecting device.It can by above-mentioned formula 12
To calculate the corresponding track potential of each stray current detecting device.
Based on Ohm's law, track current I is calculatedk, calculation formula is as follows：
In formula, I1、IkRespectively first and the corresponding track current of k-th of stray current detecting device, RgIt is vertical for track
To resistance.From above-mentioned formula it is found that k-th of stray electrical current, which detects corresponding track current, to be detected using k-th of stray electrical current
The ratio between the difference of the track potential of+1 stray current detecting device of device and kth and track longitudinal electrical resistance.As shown from the above formula,
S stray current detecting device is equipped in this example successively, then gets S-1 track current value, the last one stray electrical current
The track current of detection device can not obtain.It is chosen in S stray current detecting device if should be appreciated that in other embodiment
Part stray current detecting device is as fitting sampled point, then adjacent the latter stray electrical current with each fitting sampled point is examined
The detection data for surveying device is also required to obtain, and can just calculate the track current of each fitting sampled point.
Step 4：The traction current of current train is obtained, and it is corresponding miscellaneous to calculate preceding S-1 stray current detecting device
Dissipate electric current.
Wherein, the traction current I measured in real time according to subway calculates stray electrical current IskFor
Is1=I-I1 (15)
Isk=I-Ik (16)
In formula, Is1、IskRespectively first and the corresponding stray electrical current of k-th of stray current detecting device.According to above-mentioned
The corresponding stray electrical current of S-1 stray current detecting device before formula 16 can calculate.
As shown in figure 4, traction current I is divided into I depending on subway at present operating modeAccelerate, IAt the uniform velocity, ISlow down.But synchronization
The corresponding traction current I of all stray current detecting devices is equal, this is to be based on same subway train, is the traction current
Power supply.
In conclusion the method for 2- steps 4 through the above steps, will specifically calculate according to the detection data that step 1 obtains
Go out stray electrical current.In the present embodiment, S stray current detecting device then obtains S-1 stray electrical current Isk(k=1,2 ..., S-
1)。
Step 5：The running environment of current train is obtained, and miscellaneous based on what is obtained in current running environment and step 4
Dissipate the corresponding stray electrical current of current sensing means, the orbital position coordinate of corresponding stray current detecting device builds fitting data collection
It closes.
Specifically, as shown in figure 5, stray electrical current i (x) regularities of distribution are when subway circulation under single-ended power：
In formula, RgFor track longitudinal electrical resistance, RsFor transition resistance over the ground, L is the distance in power supply section, and x is on interval orbit
The position coordinates of arbitrary point.The function characterize single-ended power under, stray electrical current be distributed parabolically, and traction substation position with
Stray electrical current is 0 at subway train position.
As shown in fig. 6, the stray electrical current regularity of distribution is when subway circulation under both end power supplying：
In formula, l indicates that the distance between subway train and left side traction substation under current time, L are power supply section
Distance, x be interval orbit on arbitrary point position coordinates.The function characterizes under both end power supplying, and stray electrical current distribution is in two
Continuous parabola, and two traction substation positions and stray electrical current at subway train position are 0.The length of train is compared to confession
Electric section or small selects train centre position as train position coordinate points in the present embodiment, in other feasible embodiments
The other positions of train can be chosen as position coordinates point.It should be appreciated that the serial number of stray current detecting device be from a left side to
The right side is sequentially overlapped, then corresponding power supply section middle orbit position coordinates are also to successively increase from left to right.
Based on the stray electrical current distribution rule under above-mentioned single-ended power and both end power supplying, built in step 5 in the present embodiment
Fitting data set it is as follows：
If the running environment of current train is single-ended power, the fitting sampled point in the fitting data set of structure includes single
It holds at the stray current detecting device for calculating stray electrical current in stray electrical current zero crossing and step 4 under power supply, i.e. this reality
It is preceding S-1 stray current detecting device to apply and calculate the stray current detecting device of stray electrical current in example in step 4, single-ended
The lower stray electrical current zero crossing of power supply is traction substation position (0,0) and train position (l, 0), stray current detecting device
Data are (xk, Isk) (k=1,2 ..., S-1)；
If the running environment of current train is both end power supplying, the first fitting data collection in described two fitting data set
It closes and is respectively less than or equal to, more than or equal to train with the orbital position coordinate of fitting sampled point in the second fitting data set
Orbital position coordinate；
Wherein, the fitting sampled point in the first fitting data set is that orbital position coordinate is less than or equal to train rail position
It sets stray electrical current zero crossing under the both end power supplying of coordinate and preceding S-1 stray current detecting device middle orbit position coordinates is small
At the stray current detecting device of train rail position coordinates；The zero passage in the first fitting data set is added at this time
Point is (0,0), (l, 0).
Fitting sampled point in second fitting data is that orbital position coordinate is sat more than or equal to train rail position
Stray electrical current zero crossing and preceding S-1 stray current detecting device middle orbit position coordinates under target both end power supplying be more than or
At stray current detecting device equal to train rail position coordinates；The zero crossing being added at this time in the second fitting data set is
(l,0)、(L,0)。
In other feasible embodiments, if the quantity of the stray current detecting device as fitting sampled point is enough,
It can be directly fitted merely with the data of stray current detecting device, wherein whether quantity is that empirically value is come enough
See whether fitting effect meets the requirements to determine after fixed either fitting.
Step 6：One Dimensional Polynomial curve matching is carried out to the data in each fitting data set using least square method
Obtain the distribution function of stray electrical current.
If it should be noted that single-ended power, then the fitting that the data of fitting data set are carried out with following steps obtains one
A One Dimensional Polynomial curve；If both end power supplying, then the data in two fitting data set are fitted respectively, it is each quasi-
Data acquisition system is closed to correspond to obtain an One Dimensional Polynomial curve.Wherein, the fit procedure of each One Dimensional Polynomial curve is as follows：
A：First, intermediate parameters R is calculated using the data in fitting data set and according to following formula2；
In formula, IsjFor the stray electrical current of j-th of fitting sampled point in fitting data set, xjIt is in fitting data set
The orbital position coordinate of j fitting sampled point, M are the number that sampled point is fitted in fitting data set, a0、a1、anIt is one-dimensional
The coefficient of polynomial curve, n are non-negative integer.
Wherein, if single-ended power, the value range of M is：S-1≤M≤S+1；In the present embodiment, if stray electrical current is examined
It surveys the corresponding orbital position coordinate of device not overlap with zero crossing, then number M is S+1, is overlapped if existing, then is less than S+1；Its
In his feasible embodiment, if zero crossing is not added into fitting data set, then M is equal to S-1.
If both end power supplying, wherein the value range of number M is in the first data acquisition system：N1≤M≤N1+ 2, the second fitting
The value range of the number M of data acquisition system is：N2≤M≤N2+ 2, N1、N2First fitting data respectively under both end power supplying
The fitting sampled point number of stray current detecting device, and number N are corresponded in set, the second fitting data set1、N2The sum of
Equal to S-1.Similarly, the corresponding orbital position coordinate of stray current detecting device is not overlapped with zero crossing, then N again1、N2On the basis of
Add 2.
B：Then, intermediate parameters R is calculated2To the local derviation of the coefficient of One Dimensional Polynomial；
In formula, aiFor matched curve coefficient, i=0,1,2 ..., n.
C：Finally, according to intermediate parameters R2The extremum conditions of the local derviation of the coefficient of One Dimensional Polynomial is calculated one-dimensional multinomial
All coefficients of formula curve obtain the One Dimensional Polynomial curve of stray electrical current distribution；
Extremum conditions is as follows：
The linear fit equation obtained by extremum conditions is：
It is a that all coefficients of One Dimensional Polynomial curve, which acquire coefficient,0,a1,...,anCalculation formula it is as follows：
If should be appreciated that both end power supplying, using track each point coordinate position x as the distribution function of the stray electrical current of unknown number
It is piecewise function, is then a functional expression if single-ended power.Such as obtain the distribution function of the stray electrical current under single-ended power
Such as：Is(x)=a0+a1x+a2x2+...+anxn。
Step 7：S-1 stray current detecting device before the distribution function for the stray electrical current that foundation step 6 obtains calculates
Stray electrical current match value at corresponding orbital position；
Step 8：The potential energy of S-1 stray current detecting device before calculating separately, and judge whether to be greater than or equal to respectively
0.02, if there are the potential energy of stray current detecting device to be greater than or equal to 0.02, rejects the stray current detecting device and correspond to
Fitting sampled point data, and re-execute step 6, i.e., be fitted again, until respectively less than 0.02；Otherwise, output factors electricity
The distribution function of stream, and the distribution function of the stray electrical current exported is exactly that required stray electrical current calculates function；
Wherein, the potential energy calculation formula of stray current detecting device is as follows：
In formula, EkFor the potential energy of k-th of stray current detecting device,For the spuious of k-th stray current detecting device
Electric current match value, IskFor the stray electrical current of k-th of stray current detecting device.
Emulation and verification
For the verification present invention, subway circulation model is built in CDEGS softwares.CDEGS softwares can simulate build it is exposed
And metal tube, closed conduct, cable system and the various complicated soil structures of outer insulating layer coating, analyze and calculate on the ground or
Current distribution, conductor Potential distribution in the network topology structure of energized conductor and the conductor composition of underground any position, often
For underground railway track, the modeling and simulating of substation ground network.
Using CDEGS softwares, subway 3 D stereo tunnel model is established, setting running environment is single-ended power, section
Length L=2km injects traction current I=1000A, train operation position l=2km.Relative parameters setting is soil resistivity ρ0
=500 Ω m, track longitudinal direction Rg=0.03 Ω/km, the Ω m of track insulation electricalresistivityρ=706500.8 are arranged in a model
Observation point, monitoring data are as shown in table 1.Due to the particularity of subway circulation environment and the complexity of operating condition, data are deposited
In loss or distortion phenomenon, to verify abnormal data screening function of the present invention, the artificial detection that stray current detecting device 5 is arranged
Error in data.
Table 1
| Device number k | Setting position xk(m) | Natural ontology current potential Ujh(V) | Polarization potential Ujh(V) | Rail structure current potential Ugg(V) |
| 1 | 300 | 0.0594 | 0.0098 | 23.79 |
| 2 | 500 | 0.0269 | 0.034 | 17.8 |
| 3 | 600 | 0.1177 | -0.0544 | 11.8 |
| 4 | 650 | -0.2186 | 0.2846 | 5.8 |
| 5 | 1000 | 0.0933 | -0.0289 | -0.19 |
| 6 | 1600 | -0.0467 | 0.1133 | -6.18 |
| 7 | 1850 | 0.1161 | -0.0516 | -12.18 |
| 8 | 1950 | 0.1203 | -0.0567 | -18.18 |
According to stray electrical current computational methods of the present invention, the natural ontology current potential for choosing stray current detecting device 1 is standard
Natural ontology current potential, result of calculation are as shown in table 2.
Table 2
Based on single-ended power stray electrical current distribution profile feature, using least square method to stray electrical current Isk(k=1,2,
3 ..., 7) carry out One Dimensional Polynomial curve matching, by data (xk, Isk) bring linear fit equation (21) into and acquire coefficient a0=
0.27,a1=-0.0018, a2=8.9*10-7, obtain that stray electrical current distribution curve is as follows, and fitting result is as shown in Figure 8：
Is(x)=8.9*10-7*x2-0.0018*x+0.27
Introduce potential-energy function EkAbnormal data is screened, data point difference square E corresponding with fitting function is calculatedk=(Is(xk)-
Isk)2Respectively, E1=0.0081, E2=0.0000, E3=0.0016, E4=0.0019, E5=0.0441, E6=0.0002, E7
=0.0185, wherein E5=0.0441>0.02, the abnormal data of stray current detecting device 5 is accurately identified, should be rejected.It adopts
With least square method to remaining data Isk(k ≠ 5) carry out One Dimensional Polynomial fitting, by data (xk, Isk) bring linear fit side into
Journey (21) acquires coefficient a0=-0.0064, a1=-0.0011, a2=5.4*10-7, it is y=5.4* to obtain stray electrical current distribution curve
10-7*x2-0.0011*x-0.0064.Data point difference square corresponding with fitting function is calculated againRespectively
For E1=0.0001, E2=0.0003, E3=0.0005, E4=0.0002, E6=0.0015, E7=0.0019, it is satisfied by Ek<
0.02, then stray electrical current distribution curve y=5.4*10-7*x2- 0.0011*x-0.0064 is required, fitting result such as Fig. 9 institutes
Show.
The distribution function of the calculated stray electrical current of institute's extracting method of the present invention and CDEGS softwares are built into subway tunnel model
Stray electrical current simulation result (as shown in Figure 10, a plurality of curve be because simulation software build process in placed more conductors,
But it is provided to seek stray electrical current distribution situation, therefore every curve need not be segmented) it is compared, stray electrical current of the present invention
Result of calculation is accurate, and precision is high, demonstrates the correctness of invention institute extracting method.
For the verification present invention, subway circulation model is built in CDEGS softwares, running environment is both end power supplying, and section is long
L=2km is spent, traction current I=1000A, train operation position l=1.5km are injected.Relative parameters setting is soil resistivity ρ0
=500 Ω m, track longitudinal direction Rg=0.03 Ω/km, the Ω m of track insulation electricalresistivityρ=706500.Setting is seen in a model
Measuring point, monitoring data are as shown in table 3.
Table 3
| Device number k | Setting position xk(m) | Natural ontology current potential Ujh(V) | Polarization potential Ujh(V) | Rail structure current potential Ugg(V) |
| 1 | 200 | 0.005 | -0.007 | -10.67 |
| 2 | 400 | -0.167 | 0.1639 | -9.17 |
| 3 | 600 | 0.1235 | -0.1186 | -7.68 |
| 4 | 800 | 0.0641 | -0.0617 | -6.18 |
| 5 | 1000 | -0.164 | 0.0639 | -4.68 |
| 6 | 1600 | 0.0761 | -0.0733 | -0.19 |
| 7 | 1700 | 0.1367 | -0.1242 | -2.44 |
| 8 | 1900 | 0.2001 | -0.1886 | -6.94 |
According to stray electrical current computational methods of the present invention, the natural ontology current potential for choosing stray current detecting device 1 is standard
Natural ontology current potential, result of calculation are as shown in table 4.
Table 4
Based on both end power supplying stray electrical current distribution profile feature, using least square method to stray electrical current Isk(k=1,2,
3 ..., 7) carry out One Dimensional Polynomial curve matching, by data (xk, Isk) bring linear fit equation (21) into and acquire coefficient, it is segmented
Acquiring stray electrical current distribution curve isFitting result
As shown in figure 11.
Introduce potential-energy function EkAbnormal data is screened, data point difference square corresponding with fitting function is calculatedRespectively, E1=0.0000, E2=0.0002, E3=0.0004, E4=0.0008, E5=0.0012, E6
=0.0000, E7=0.0000, it is satisfied by Ek<0.02, then stray electrical current distribution curveIt is as required.
The result of calculation and CDEGS stray electrical currents simulation result of comparative analysis invention institute extracting method are (as shown in figure 12, a plurality of
Curve is but to be provided to seek stray electrical current distribution situation because placed more conductors in simulation software build process, because
This need not segment every curve) it is compared, it is known that, the stray electrical current computational methods provided through the invention obtain accuracy
High, the higher result of precision.
It is emphasized that example of the present invention is illustrative, without being restrictive, therefore the present invention is unlimited
Example described in specific implementation mode, other every obtained according to the technique and scheme of the present invention by those skilled in the art
Embodiment does not depart from present inventive concept and range, whether modification or replaces, also belongs to protection model of the invention
It encloses.
Claims (10)
1. a kind of acquisition methods of stray electrical current, it is characterised in that：Include the following steps：
Step 1：Acquire the detection data of the stray current detecting device in the power supply section of train traction electric substation；
Wherein, stray current detecting device, the detection data of each stray current detecting device are set in the power supply section
Include natural ontology current potential, reference potential, rail structure current potential；
Step 2：The polarization potential of stray current detecting device is calculated, and each polarization potential is normalized to obtain
Reduction polarization potential；
Wherein, the polarization potential of each stray current detecting device is equal to the reference potential of same stray current detecting device and oneself
The difference of right body potential；
Step 3：The track potential of stray current detecting device is calculated, and is calculated based on Ohm's law and track potential spuious
The corresponding track current of current sensing means；
The track potential of each stray current detecting device is equal to rail structure current potential and the reduction pole of same stray current detecting device
Change the sum of current potential；
Wherein, the stray current detecting device for calculating track current is non-the last one stray electrical current inspection in the power supply section
Survey device；
Step 4：The traction current of current train is obtained, and calculates the corresponding stray electrical current of stray current detecting device；
Wherein, it is corresponding with same stray current detecting device to be equal to traction current for the corresponding stray electrical current of stray current detecting device
Track current difference；
Step 5：The running environment of current train is obtained, and based on the stray electrical obtained in current running environment and step 4
The orbital position coordinate structure fitting data set of the corresponding stray electrical current of flow detection device, corresponding stray current detecting device；
Wherein, fitting sampled point, the fitting number will be used as at the stray current detecting device that stray electrical current is calculated in step 4
It is made of the orbital position coordinate of fitting sampled point and corresponding stray electrical current according to set；
The running environment is divided into the single-ended power powered by single traction substation and by pair of two traction substation power supplies
End power supply, if current running environment is single-ended power, step 5 constructs a fitting data set；If both end power supplying,
Then step 5 constructs two fitting data set, and the fitting sampled point in described two fitting data set is with current train institute
It is set to separation in place；
Step 6：One Dimensional Polynomial curve matching is carried out using least square method to the data in each fitting data set to obtain
The distribution function of stray electrical current；
Wherein, the distribution function of the stray electrical current is using orbital position coordinate as independent variable, and stray electrical current match value is because becoming
The function of amount, the distribution function of the stray electrical current are the calculation formula of stray electrical current in power supply section described in current time.
2. according to the method described in claim 1, it is characterized in that：Further include abnormal data screening and processing, implementation procedure is such as
Under：
Step 7：The distribution function for the stray electrical current that foundation step 6 obtains calculates the stray electrical that stray electrical current is obtained in step 4
Stray electrical current match value at flow detection device；
Step 8：The potential energy at the stray current detecting device for obtaining stray electrical current in step 4 is calculated separately, and judgement is respectively
It is no to be greater than or equal to 0.02, if there are the potential energy of stray current detecting device to be greater than or equal to 0.02, reject the stray electrical current
The data of fitting sampled point at detection device, and re-execute step 6；Otherwise, the distribution function of the stray electrical current is institute
The stray electrical current calculation formula needed；
Wherein, the potential energy calculation formula of stray current detecting device is as follows：
In formula, Ek、IskK-th of stray electrical current in the stray current detecting device of stray electrical current is calculated in step 4 respectively
Potential energy, stray electrical current match value, the stray electrical current of detection device, S-1 are the stray electrical current inspection that stray electrical current is calculated in step 4
Survey the quantity of device.
3. according to the method described in claim 1, it is characterized in that：If the running environment of current train is single-ended power, step 5
Fitting sampled point in the fitting data set of middle structure further includes the stray electrical current zero crossing under single-ended power；
Wherein, the stray electrical current zero crossing under single-ended power is traction substation position and train position；
If the running environment of current train is both end power supplying, the first fitting data set in described two fitting data set and
The orbital position coordinate that sampled point is fitted in second fitting data set is respectively less than or equal to, more than or equal to the track of train
Position coordinates；
Wherein, the fitting sampled point in the first fitting data set is that both end power supplying lower railway position coordinates are less than or equal to train
The stray electrical current zero crossing and step 4 of orbital position coordinate calculate the stray current detecting device middle orbit of stray electrical current
Position coordinates are less than or equal at the stray current detecting device of train rail position coordinates；
Fitting sampled point in second fitting data is that both end power supplying lower railway position coordinates are greater than or equal to train rail
The stray electrical current zero crossing and step 4 of position coordinates calculate the stray current detecting device middle orbit position of stray electrical current
Coordinate is greater than or equal at the stray current detecting device of train rail position coordinates；
Wherein, the stray electrical current zero crossing under both end power supplying is two traction substation positions and train position.
4. according to the method described in claim 1, it is characterized in that：If the running environment of current train is both end power supplying, step 5
Sampling is fitted in the first fitting data set and the second fitting data set in described two fitting data set of middle structure
The orbital position coordinate of point is respectively less than or equal to, more than or equal to the orbital position coordinate of train；
Wherein, the fitting sampled point in the first fitting data set is the stray electrical current detection dress that step 4 calculates stray electrical current
Middle orbit position coordinates are set to be less than or equal at the stray current detecting device of train rail position coordinates；
Fitting sampled point in second fitting data is that step 4 calculates rail in the stray current detecting device of stray electrical current
Road position coordinates are greater than or equal at the stray current detecting device of train rail position coordinates.
5. method according to claim 3 or 4, it is characterised in that：Using least square method to each fitting number in step 6
One Dimensional Polynomial fitting is carried out according to the data in set and respectively obtains an One Dimensional Polynomial curve, wherein each one-dimensional multinomial
The fit procedure of formula curve is as follows：
First, intermediate parameters R is calculated using the data in fitting data set and according to following formula2；
In formula, IsjFor the stray electrical current of j-th of fitting sampled point in fitting data set, xjIt is j-th in fitting data set
It is fitted the orbital position coordinate of sampled point, M is the number that sampled point is fitted in fitting data set, a0、a1、anIt is one-dimensional more
The coefficient of item formula curve, n are non-negative integer；
If single-ended power, the value range for being fitted the number M of sampled point is：S-1≤M≤S+1；
If the both end power supplying and fitting data collection is combined into the first fitting data set, the value range of number M is：N1≤M≤
N1+2；
If the both end power supplying and fitting data collection is combined into the second fitting data set, the value range of number M is：N2≤M≤
N2+2；
N1、N2Respectively under both end power supplying stray electrical current is corresponded in the first fitting data set, the second fitting data set
The fitting sampled point number of detection device, and number N1、N2The sum of be equal to S-1, S-1 be step 4 in calculate the miscellaneous of stray electrical current
Dissipate the quantity of current sensing means；
Then, intermediate parameters R is calculated2To the local derviation of the coefficient of One Dimensional Polynomial；
In formula, aiFor the coefficient of One Dimensional Polynomial curve；
Finally, according to intermediate parameters R2One Dimensional Polynomial curve is calculated to the extremum conditions of the local derviation of the coefficient of One Dimensional Polynomial
All coefficients obtain stray electrical current distribution One Dimensional Polynomial curve；
Extremum conditions is as follows：
The calculation formula for obtaining all coefficients of One Dimensional Polynomial curve is as follows：
6. according to the method described in claim 1, it is characterized in that：Place is normalized to each polarization potential in step 2
The process that reason obtains reduction polarization potential is as follows：
First, selected from the natural ontology current potential of all stray current detecting devices one as standard natural ontology current potential；
Then, natural ontology current potential and the standard for calculating the stray current detecting device of non-standard natural ontology current potential are natural
Voltage difference between body potential, then calculate the reduction polarization electricity of the stray current detecting device of non-standard natural ontology current potential
Position；The reduction polarization potential of the stray current detecting device of standard natural ontology current potential is equal to polarization potential；
Wherein, the calculation formula of the corresponding voltage difference of non-standard natural ontology current potential and reduction polarization potential is as follows：
ΔUbt(k-i)=Ubtk-UBT
Ujhk'=Ujhk+ΔUbt(k-i)
In formula, Δ Ubt(k-i)、UbtkRespectively it is described power supply section in k-th of stray current detecting device this ground potential naturally and
Voltage difference between standard natural ontology current potential, naturally this ground potential, UBTFor standard natural ontology current potential, and for choose i-th
The natural ontology current potential of a stray current detecting device；
Ujhk'、UjhkReduction polarization potential, the polarization potential of respectively k-th stray current detecting device, k, i are positive integer.
7. according to the method described in claim 1, it is characterized in that：The corresponding rail of stray current detecting device is calculated in step 3
The calculation formula of road electric current is as follows：
In formula, IkFor the corresponding track current of k-th of stray current detecting device in the power supply section, Ugg(k+1)、UggkRespectively
Be kth+1, k-th stray current detecting device rail structure current potential, Ujh(k+1)'、Ujhk' it is kth+1, k-th of stray electrical current respectively
The reduction polarization potential of detection device, RgFor track longitudinal electrical resistance, k is positive integer.
8. according to the method described in claim 1, it is characterized in that：S stray electrical current is provided in the power supply section to examine
Survey device, step 3 and step 4 are respectively to calculate the corresponding track of preceding S-1 stray current detecting device in the power supply section
Electric current, stray electrical current；
Wherein, S is positive integer.
9. a kind of detecting system of stray electrical current, it is characterised in that：Including being connected with each other host computer and stray current detecting device,
The stray current detecting device is arranged in the power supply section of train traction electric substation, and different stray current detecting devices correspond to
Power supply section inner orbit different location；
Wherein, it is set on stray current detecting device there are three lead-in, the respectively lead-in of reference electrode, structural steel is drawn
Terminal line, track potential measure lead-in；The host computer is quasi- using the detection data of each stray current detecting device acquisition
Close out the distribution function of stray electrical current；
The host computer is used to calculate the distribution function of stray electrical current using the method for step 2- steps 6 in claim 1.
10. detecting system according to claim 9, it is characterised in that：Stray electrical current detection dress in the power supply section
It is set to equidistantly distributed.
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