A kind of power cable partial discharge positioning method based on time reversal
Technical field
The invention belongs to telecommunication diagnostic techniques fields, are related to the running shelf depreciation diagnostic techniques of power cable, more
Specifically, being related to a kind of power cable partial discharge positioning method based on time reversal.
Background technique
Cross-inked polyethylene power cable is largely used in power grid because of its reliable electrical, mechanical performance;But manufacture,
The complexity of abnormal activity present in transport and installation process and power cable service condition, will lead to power cable
There is power cable defect in local location;In this way under forceful electric power field action, it is existing that power cable defective locations can generate shelf depreciation
As.Shelf depreciation is one of the form of expression of power cable insulation aging, while also making to insulate and further deteriorating and lead to electric power
One of the main reason for cable insulation fails.Therefore, in order to ensure power cable reliability of operation, need to power cable into
Row Partial Discharge Detection.
In the prior art, based on mature time domain reflectometry, by detection power cable partial discharge pulse signal come real
Existing power cable shelf depreciation positioning.Number of patent application is that the application documents of CN201510173365.9 disclose one kind based on vibration
The distribution power cable local discharge measuring method for swinging wave test initially sets up the power cable based on oscillation wave test and locally puts
Then electrical testing and positioning system utilize above-mentioned test macro, the method by being forced into preset value at tested power cable end
It charges to the power cable, and resonance is occurred in tested electric power electricity by inductance in system and tested power cables capacitance
Cable-end generates damped oscillation voltage;Two pulses of incidence wave and back wave according to power cable discharge position reach test lead
Time difference determines the position that shelf depreciation occurs.Number of patent application is that the application documents of CN201510092868.3 disclose
A kind of power cable partial discharge positioning method analyzed based on auto-correlation-Wavelet Modulus Maxima, first acquisition shelf depreciation letter
Number, incidence wave-reflected wave pulses data segment is then extracted in the local discharge signal of acquisition, then anti-to the incidence wave-of extraction
Ejected wave pulse data section carries out autocorrelation analysis and Wavelet Modulus Maxima is analyzed, and obtains power cable shelf depreciation point position.On
State two kinds of power cable breakdown location methods be based on incidence wave and back wave time delay estimadon combine fixed spread speed into
Row positioning, but due to accurately can not carry out time delay estimation and do not consider power cable phase velocity frequency dependent characteristic influence, and
Two kinds of power cable breakdown location methods are made to be unable to reach higher positioning accuracy, to increase the operation and maintenance of power cable
Cost.
Therefore, the power cable shelf depreciation location technology with higher positioning accuracy is developed, power cable is reduced
Operation expense is significant in booming power industry.
Summary of the invention
For the not high problem of current power cable partial discharge positioning method positioning accuracy, the purpose of the present invention is intended to mention
For a kind of power cable partial discharge positioning method based on time reversal, to realize to the accurate of power cable Partial Discharge Sources
Positioning.
Thinking of the invention is handled local discharge signal using time reversal, and from treated, shelf depreciation is believed
Incident Partial discharge signal and reflection Partial discharge signal number are isolated, and incident Partial discharge signal and reflection Partial discharge signal are utilized in frequency domain
The attenuation constant and phase constant of tested power cable are modified, so that the frequency dependent characteristic influence of power cable phase velocity be examined
Including worry;Revised incident Partial discharge signal and reflection Partial discharge signal are converted to time domain again,
Find out the signal energy that tested power cable assumes partial discharge source position;Traversal is entirely tested power cable, obtains it
Position-energy spectrogram, the energy maximum point in spectrogram are the partial discharge position of power cable.
Power cable partial discharge positioning method provided by the invention based on time reversal, the composition packet of technical solution
Include following steps:
The test of S1 power cable transmission function, finds out the attenuation constant α (ω) and phase constant β (ω) of power cable
Transmission function is carried out with the reference power cable of batch with model to tested power cable or with tested power cable
e-(α(ω)+jβ(ω))lTest, l be tested power cable or with reference to power cable length,And the biography obtained according to test
Delivery function finds out the attenuation constant α (ω) and phase constant β (ω) of power cable;
S2 is tested the test of power cable shelf depreciation
Shelf depreciation test is carried out to tested power cable, and obtained local discharge signal s (t) the progress time is anti-
It drills, obtains time reversal local discharge signal s (T-t), then the local discharge signal s (T-t) after time reversal is separated,
Obtain incident Partial discharge signal v1(t) and reflection Partial discharge signal v2(t);Wherein t is the time, and T is appointing no more than testing time length
Meaning constant;
S3 is tested the positioning of power cable shelf depreciation
S31 utilizes Fast Fourier Transform (FFT) by incident Partial discharge signal v1(t) and reflection Partial discharge signal v2(t) frequency domain is transformed to,
Obtain the incident Partial discharge signal V of frequency domain1(ω) and reflection Partial discharge signal V2(ω);
S32 assumes a partial discharge source position x, the attenuation constant α (ω) obtained using step S1 on tested power cable
With phase constant β (ω) to incident Partial discharge signal V1(ω) and reflection Partial discharge signal V2(ω) is modified, obtain it is revised enter
Penetrate Partial discharge signal V3(ω) and reflection Partial discharge signal V4(ω):
V3(ω)=V1(ω)e-(α(ω)+jβ(ω))x
V4(ω)=V2(ω)e-(α(ω)+jβ(ω))(2l-x)
Wherein, V3(ω)、V4(ω) is respectively incident Partial discharge signal v1(t) and reflection Partial discharge signal v2(t) x is propagated respectively
Frequency-domain expression with 2l-x apart from rear signal;L is tested power cable length;e-(α(ω)+jβ(ω))xFor incoming signal v1(t) it passes
Transmission function expression formula after broadcasting x distance, e-(α(ω)+jβ(ω))(2l-x)To reflect signal v2(t) the transmitting letter after propagating 2l-x distance
Number expression formula;
S33 utilizes Fast Fourier Transform Inverse by revised incident Partial discharge signal V3(ω) and reflection Partial discharge signal V4
(ω) transforms to time domain, obtains the incident Partial discharge signal v that power cable assumes time domain at the x of partial discharge source position3(t) and reflection partial discharge
Signal v4(t);
S34 assumes the incident Partial discharge signal v of time domain at the x of partial discharge source position based on tested power cable3(t) and reflection partial discharge
Signal v4(t), the signal energy p (x) that power cable in testing time length assumes partial discharge source position x is obtained:
P (x)=∫ (| v3(t)|+|v4(t)|)2dt;
S35 repeats step S32 to step S34, and the entire power cable that traversal length is l obtains entire power cable position
- energy spectrogram is set, then the energy maximum point in spectrogram is the partial discharge position of power cable.
The above-mentioned power cable partial discharge positioning method based on time reversal can use time domain method or frequency in step S1
Domain method carries out transmission function test with the reference power cable of batch with model to tested power cable or with tested power cable,
Specific test can be with reference to the test method that this field has disclosed (referring to Papazyan R, Eriksson
R.Calibration for time domain propagation constant measurements on power
Cables [J] .IEEE Transactions on Instrumentation and Measurement, 2003,52 (2):
415-418);The positioning of power cable shelf depreciation, frequency domain test equipment commonly used in the art are Network Analyzer (such as Agilent
E5061B), before being tested using the equipment, passed to eliminate the test coaxial cable connecting with power cable to power cable
The influence for passing characteristic needs to calibrate (referring to Joel P D.Handbook of Microwave test coaxial cable
Component Measurements with Advanced VNA Techniques [M] .United Kingdom:John
Wiley&Sons, 2012).The transmitting letter that will further can be tested after calibration using the time-domain analysis function of Network Analyzer
Number is transformed into time domain, and the time domain gating function of being carried by Network Analyzer selects reflection power cable transmitting in the time domain
The useful signal of function is influenced with reducing the impedance mismatch of test coaxial cable and power cable junction.It is surveyed in the present invention
Trying obtained transmission function is e-(α(ω)+jβ(ω))l, l is to be tested power cable or refer to power cable length, then foundation through time domain
Attenuation constant α (ω) and phase constant β (ω) that obtained transmission function finds out power cable are gated, wherein ω is angular frequency.
The above-mentioned power cable partial discharge positioning method based on time reversal can use this field in step s 2
The partial discharge test system (such as Germany match bar OWTS HV250) having disclosed carries out shelf depreciation survey to tested power cable
Examination.The method that obtained local discharge signal is carried out time reversal processing, can be with reference to the place disclosed in the prior art
Reason method, such as Fink M, Prada C, Wu F, et al, Self focusing with time reversal mirror in
Inhomogeneous media [J] .IEEE Ultrasonic Symp., 1989:681-686.
The above-mentioned power cable partial discharge positioning method based on time reversal in step S35, is selected using equidistant mode
Tested power cable is taken to assume partial discharge source position.It in a preferred embodiment, can be first using the entire electricity of the first spacing traversal
Power cable chooses tested power cable and assumes partial discharge source position, repeats step S32 to step S34, obtains entire power cable position
Set-energy spectrogram;Power cable length is tested before and after very big position in spectrogram using less than the second spacing of the first spacing again
Tested power cable is further chosen in 1%~5% range and assumes partial discharge source position, is repeated step S32 to step S34, is obtained
Very big position front and back is tested position-energy spectrogram in 1%~5% range of power cable length, energy in the map in spectrogram
Maximum point is the partial discharge position of power cable.
Power cable partial discharge positioning method at present is based primarily upon time delay estimadon technology, since there are time delays to estimate
Meter error and the frequency dependent characteristic influence for not considering power cable phase velocity, and lead to power cable shelf depreciation positioning accuracy not
It is high.
Compared with prior art, the power cable partial discharge positioning method provided by the invention based on time reversal, tool
There are following very prominent and advantageous effects:
1, the present invention determines power cable Partial Discharge Sources using the method for solving power cable signal energy extreme value
Position is estimated without the time delay to local discharge signal, to avoid because error existing for time delay estimation is to positioning accuracy
Influence;
2, the present invention combines the transmission function of power cable to carry out propagation emulation to power cable Partial discharge signal, by electric power electricity
Influence of the frequency dependent characteristic of cable phase velocity to power cable breakdown location is taken into account, so that it is fixed to improve power cable shelf depreciation
Position precision;
3, the present invention carries out time reversal processing to the power cable partial discharge signal of test, by local discharge signal
Dispersion phenomenon is inverted, and the dispersion phenomenon at partial discharge source position is offset, to reduce dispersion to power cable part
The influence of breakdown location precision;
4, the present invention using the incident Partial discharge signal isolated from local discharge signal and reflection Partial discharge signal be superimposed into
Row positioning, can effectively improve the power cable shelf depreciation positioning accuracy under Low SNR;
5, the present invention is sampled due to needing to carry out positioning analysis to entire power cable by Partial Discharge Measurement System
Rate influence is smaller, and the accurate positioning of power cable shelf depreciation is still able to achieve in the lower situation of sample rate.
Detailed description of the invention
Fig. 1 is that the present invention is based on the power cable partial discharge positioning method flow charts of time reversal.
Fig. 2 is the tested power cable shelf depreciation positioning step flow chart of the present invention.
Fig. 3 is test coaxial cable calibration front and back transmission characteristic in the embodiment of the present invention 1.
Fig. 4 is the attenuation constant and phase constant curve that obtained reference power cable is tested in the embodiment of the present invention 1,
Middle solid line indicates that attenuation constant curve, dotted line indicate phase constant curve.
Fig. 5 is to obtain partial discharge pulse using oscillation wave partial discharge test system and test in the embodiment of the present invention 1 to believe
Number.
Fig. 6 is to obtain partial discharge pulse using oscillation wave partial discharge test system and test in the embodiment of the present invention 1 to believe
The partial discharge pulse's signal obtained after number time reversal processing.
Fig. 7 is the power cable position-energy spectrogram drawn in the embodiment of the present invention 1.
Fig. 8 is the power cable position-energy spectrogram drawn in the embodiment of the present invention 2.
Specific embodiment
The embodiment of the present invention is provided below with reference to attached drawing, and technical solution of the present invention is carried out into one by embodiment
Clear, the complete explanation of step.Obviously, the embodiment is only a part of the embodiments of the present invention, rather than whole implementation
Example.Based on the content of present invention, those of ordinary skill in the art are obtained all without making creative work
Other embodiments belong to the range that the present invention is protected.
Embodiment 1
The tested power cable that the present embodiment is directed to is that the shelf depreciation of 498m ZR-YJV22-8.7/15 power cable is fixed
Position, power cable defect type are that semi-conductive layer overlaps bad defect.
The present embodiment carries out transmission function test to reference power cable using Agilent E5061B network tester.
The present embodiment using Germany match bar OWTS HV250 oscillation wave partial discharge test macro to tested power cable into
The test of row shelf depreciation.
Power cable partial discharge positioning method provided in this embodiment based on time reversal, as shown in Figures 1 and 2,
The following steps are included:
The test of S1 power cable transmission function
By with the same model of tested power cable, with batch length be l0=10 meters of reference power cable both ends lead to respectively
The signal output end and signal receiving end for crossing test coaxial cable and network tester connect, under the conditions of 100kHz-50MHz,
It is tested using transmission function of the Network Analyzer to reference power cable.School is carried out to test coaxial cable first before test
Standard eliminates influence of the test coaxial cable to reference power cable transmission characteristic;Test coaxial cable transmission characteristic calibration front and back
As shown in Figure 3;Coaxial cable is tested before calibration, in test result and shows apparent transmission characteristic, after calibration, tests coaxial electrical
The transmission characteristic of cable is eliminated.Then reference power cable is once tested using Network Analyzer, it is coaxial due to testing
Cable and refer to power cable impedance mismatch, the two junction exist reflection signal, it is therefore desirable to will test obtain just
Pacing test result is selected using the time-domain analysis power and energy of Network Analyzer to time domain, and using the time domain that Network Analyzer carries
Logical function chooses the useful signal that reflection refers to power cable transmission function, reduces coaxial cable and refers to power cable junction
Impedance mismatch influence.Finally utilize the power cable transmission function obtained through time domain gating(l0For ginseng
Examine power cable length) find out attenuation constant α (ω) and phase constant β (ω), the attenuation constant and phase with reference to power cable
Bit constant and the attenuation constant of tested power cable are identical as phase constant, with reference to the attenuation constant and phase constant of power cable
Curve is as shown in Figure 4.
S2 is tested the test of power cable shelf depreciation
Shelf depreciation test, the office tested are carried out to tested power cable using oscillation wave partial discharge test macro
Portion's Discharge pulse waveform is as shown in figure 5, the local discharge signal s (t) that then will test carries out time reversal processing t → T-
T, local discharge signal s (T-t) that inverting obtains as shown in fig. 6, again by the local discharge signal s (T-t) after time reversal into
Row separation, obtains incident Partial discharge signal v1(t) and reflection Partial discharge signal v2(t);Power cable partial discharge signal is through time reversal
After processing, the dispersion phenomenon of local discharge signal is inverted, and is offset the dispersion phenomenon at partial discharge source position, in this way may be used
To reduce influence of the dispersion to power cable shelf depreciation positioning accuracy.
S3 is tested the positioning of power cable shelf depreciation
S31 utilizes Fast Fourier Transform (FFT) by incident Partial discharge signal v1(t) and reflection Partial discharge signal v2(t) frequency domain is transformed to,
Obtain the incident Partial discharge signal V of frequency domain1(ω) and reflection Partial discharge signal V2(ω);
V1(ω)=FFT [v1(t)]
V2(ω)=FFT [v2(t)]
S32 assumes a partial discharge source position x, the attenuation constant α (ω) obtained using step S1 on tested power cable
With phase constant β (ω) to incident Partial discharge signal V1(ω) and reflection Partial discharge signal V2(ω) is modified, obtain it is revised enter
Penetrate Partial discharge signal V3(ω) and reflection Partial discharge signal V4(ω):
V3(ω)=V1(ω)e-(α(ω)+jβ(ω))x
V4(ω)=V2(ω)e-(α(ω)+jβ(ω))(2l-x)
Wherein, V3(ω)、V4(ω) is respectively incident Partial discharge signal v1(t) and reflection Partial discharge signal v2(t) x is propagated respectively
Frequency-domain expression with 2l-x apart from rear signal;L is tested power cable length;e-(α(ω)+jβ(ω))xFor incoming signal v1(t) it passes
Transmission function expression formula after broadcasting x distance, e-(α(ω)+jβ(ω))(2l-x)To reflect signal v2(t) the transmitting letter after propagating 2l-x distance
Number expression formula;
S33 utilizes Fast Fourier Transform Inverse by revised incident Partial discharge signal V3(ω) and reflection Partial discharge signal V4
(ω) transforms to time domain, obtains the incident Partial discharge signal v that power cable assumes time domain at the x of partial discharge source position3(t) and reflection partial discharge
Signal v4(t);
v3(t)=IFFT [V3(ω)]
v4(t)=IFFT [V4(ω)]
S34 assumes the incident Partial discharge signal v of time domain at the x of partial discharge source position based on tested power cable3(t) and reflection partial discharge
Signal v4(t), the signal energy p (x) that power cable in testing time length assumes partial discharge source position x is obtained:
P (x)=∫ (| v3(t)|+|v4(t)|)2dt;
S35 repeats step S32 to step S34, using 0.5 meter of the first spacing, changes hypothesis office on tested power cable
Source position x is put, step S32 to step S34 is repeated, so that it is traversed length l=498 meters of entire tested power cable, seeks
Each energy p (x) for assuming partial discharge source position, and make mutually it will be assumed that the entire power cable of partial discharge source position and energy relationship
Position-energy spectrogram;For the office within the scope of 5 meters before and after position very big in entire power cable position-energy spectrogram of acquisition
Portion is tested power cable, using 0.01 meter of the second spacing, changes on locally tested power cable and assumes partial discharge source position x, weight
Multiple step S32 to step S34, the part for choosing its traversal are tested power cable, seek each energy for assuming partial discharge source position
It measures p (x), and makes mutually it will be assumed that partial discharge source position and the part of energy relationship are tested power cable position-energy spectrogram, then office
The energy maximum point that portion is tested in power cable position-energy spectrogram is the partial discharge position of power cable.
Power cable position-energy spectrogram that the present embodiment obtains is as shown in fig. 7, as can be seen from the figure in tested electric power
There are an energy maximum at cable 249m, exactly tested power cable partial discharge position at this.
Embodiment 2
The tested power cable that the present embodiment is directed to is that the shelf depreciation of 498m ZR-YJV22-8.7/15 power cable is fixed
Position, power cable defect type are longitudinal tool marks defect.
The present embodiment carries out transmission function test to reference power cable using Agilent E5061B network tester.
The present embodiment using Germany match bar OWTS HV250 oscillation wave partial discharge test macro to tested power cable into
The test of row shelf depreciation.
Power cable partial discharge positioning method provided in this embodiment based on time reversal, as shown in Figures 1 and 2,
The following steps are included:
The test of S1 power cable transmission function
By with the same model of tested power cable, with batch length be l0=10 meters of reference power cable both ends lead to respectively
The signal output end and signal receiving end for crossing test coaxial cable and network tester connect, under the conditions of 100kHz-50MHz,
It is tested using transmission function of the Network Analyzer to reference power cable.School is carried out to test coaxial cable first before test
Standard eliminates influence of the test coaxial cable to reference power cable transmission characteristic.Then using Network Analyzer to reference electric power
Cable is once tested, and due to test coaxial cable and refers to power cable impedance mismatch, exists in the two junction anti-
Penetrate signal, it is therefore desirable to will the obtained the tested results of test using Network Analyzer time-domain analysis power and energy to when
Domain, and the useful signal that reflection refers to power cable transmission function is chosen using the time domain gating function that Network Analyzer carries,
Reduce coaxial cable and is influenced with reference to the impedance mismatch of power cable junction.Finally utilize the electric power obtained through time domain gating
Cable transmission function(l0To refer to power cable length) find out attenuation constant α (ω) with reference to power cable
With phase constant β (ω), the attenuation constant and phase constant and the attenuation constant of tested power cable are identical as phase constant.
S2 is tested the test of power cable shelf depreciation
Shelf depreciation test is carried out to tested power cable using oscillation wave partial discharge test macro, then will test
The local discharge signal s (t) that arrives carries out time reversal processing t → T-t, then by the local discharge signal s (T-t) after time reversal
It is separated, obtains incident Partial discharge signal v1(t) and reflection Partial discharge signal v2(t);Power cable partial discharge signal is anti-through the time
After drilling processing, the dispersion phenomenon of local discharge signal is inverted, and offsets the dispersion phenomenon at partial discharge source position, in this way
It can reduce influence of the dispersion to power cable shelf depreciation positioning accuracy.
S3 is tested the positioning of power cable shelf depreciation
S31 utilizes Fast Fourier Transform (FFT) by incident Partial discharge signal v1(t) and reflection Partial discharge signal v2(t) frequency domain is transformed to,
Obtain the incident Partial discharge signal V of frequency domain1(ω) and reflection Partial discharge signal V2(ω);
V1(ω)=FFT [v1(t)]
V2(ω)=FFT [v2(t)]
S32 assumes a partial discharge source position x, the attenuation constant α (ω) obtained using step S1 on tested power cable
With phase constant β (ω) to incident Partial discharge signal V1(ω) and reflection Partial discharge signal V2(ω) is modified, obtain it is revised enter
Penetrate Partial discharge signal V3(ω) and reflection Partial discharge signal V4(ω):
V3(ω)=V1(ω)e-(α(ω)+jβ(ω))x
V4(ω)=V2(ω)e-(α(ω)+jβ(ω))(2l-x)
Wherein, V3(ω)、V4(ω) is respectively incident Partial discharge signal v1(t) and reflection Partial discharge signal v2(t) x is propagated respectively
Frequency-domain expression with 2l-x apart from rear signal;L is tested power cable length;e-(α(ω)+jβ(ω))xFor incoming signal v1(t) it passes
Transmission function expression formula after broadcasting x distance, e-(α(ω)+jβ(ω))(2l-x)To reflect signal v2(t) the transmitting letter after propagating 2l-x distance
Number expression formula;
S33 utilizes Fast Fourier Transform Inverse by revised incident Partial discharge signal V3(ω) and reflection Partial discharge signal V4
(ω) transforms to time domain, obtains the incident Partial discharge signal v that power cable assumes time domain at the x of partial discharge source position3(t) and reflection partial discharge
Signal v4(t);
v3(t)=IFFT [V3(ω)]
v4(t)=IFFT [V4(ω)]
S34 assumes the incident Partial discharge signal v of time domain at the x of partial discharge source position based on tested power cable3(t) and reflection partial discharge
Signal v4(t), the signal energy p (x) that power cable in testing time length assumes partial discharge source position x is obtained:
P (x)=∫ (| v3(t)|+|v4(t)|)2dt;
S35 repeats step S32 to step S34, using 0.5 meter of the first spacing, changes hypothesis office on tested power cable
Source position x is put, step S32 to step S34 is repeated, so that it is traversed the entire tested power cable of length l, seeks each hypothesis
The energy p (x) of partial discharge source position, and make mutually it will be assumed that entire power cable position-energy of partial discharge source position and energy relationship
Measure spectrogram;For the tested electricity in part within the scope of 5 meters before and after position very big in entire power cable position-energy spectrogram of acquisition
Power cable is changed on locally tested power cable using 0.01 meter of the second spacing and assumes partial discharge source position x, repeated step S32
To step S34, the part for choosing its traversal is tested power cable, seeks each energy p (x) for assuming partial discharge source position, and
It makes mutually it will be assumed that partial discharge source position and the part of energy relationship are tested power cable position-energy spectrogram, then part is tested electric
Energy maximum point in power cable position-energy spectrogram is the partial discharge position of power cable.
Power cable position-energy spectrogram that the present embodiment obtains is as shown in figure 8, as can be seen from the figure in tested electric power
There are an energy maximum at cable 249m, exactly tested power cable partial discharge position at this.
Those of ordinary skill in the art will understand that embodiment here be to help reader understand it is of the invention
Principle, it should be understood that protection scope of the present invention is not limited to such specific embodiments and embodiments.This field it is common
Technical staff disclosed the technical disclosures can make the various various other tools for not departing from essence of the invention according to the present invention
Body variations and combinations, these variations and combinations are still within the scope of the present invention.