CN114414959A - Cable insulation detection device and method based on Gaussian pulse bidirectional propagation coefficient - Google Patents

Cable insulation detection device and method based on Gaussian pulse bidirectional propagation coefficient Download PDF

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CN114414959A
CN114414959A CN202210041020.8A CN202210041020A CN114414959A CN 114414959 A CN114414959 A CN 114414959A CN 202210041020 A CN202210041020 A CN 202210041020A CN 114414959 A CN114414959 A CN 114414959A
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cable
gaussian pulse
insulation
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pulse signal
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张建文
周围
董海波
题恒
王路伽
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China University of Mining and Technology CUMT
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    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/12Testing dielectric strength or breakdown voltage ; Testing or monitoring effectiveness or level of insulation, e.g. of a cable or of an apparatus, for example using partial discharge measurements; Electrostatic testing

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Abstract

The invention discloses a cable evaluation device and method based on a Gaussian pulse two-way propagation coefficient, which comprises a signal generation system, a cable model and a measurement system, wherein the signal generation system comprises a signal generation module, a signal transmission module and a signal transmission module; the pulse signal calibrator is connected with the middle of the cable and is used for generating a Gaussian pulse signal with a certain charge amount; the two ends of the cable are respectively connected with the coaxial cable and connected with an oscilloscope in the measuring system, and Gaussian pulse signals at the first end and the last end of the cable are collected; the oscilloscope in the measuring system is connected with the computer and the network analyzer, and the computer and the network analyzer are used for processing the Gaussian pulse signals at the first end and the last end of the cable so as to obtain the actual propagation coefficient of the Gaussian pulse signals in the cable. And comparing with a theoretical value to obtain the insulation uniform distribution coefficient of the cable, thereby carrying out state evaluation on the cable. The invention obtains the insulation uniform distribution coefficient of the cable based on the propagation coefficient of the Gaussian pulse signal in the cable in two-way transmission, and can effectively evaluate the running state and the insulation aging degree of the cable.

Description

Cable insulation detection device and method based on Gaussian pulse bidirectional propagation coefficient
Technical Field
The invention relates to the technical field of power cable state monitoring, in particular to a cable insulation detection device and method based on a Gaussian pulse bidirectional propagation coefficient.
Background
The power cable is the main equipment for transmitting electric energy by a power grid, and the power cable has the advantages of safety, reliability, concealment, durability, small influence of weather, benefit for beautifying city layout and the like, and particularly, along with the use of a new cable technology, the cost of the cable is gradually reduced, and the power cable is more and more widely applied.
However, the insulation of the cable is damaged by impurities and air bubbles mixed in the cable during processing and by bending of the cable during laying. And because the environment of the power cable is very complex, the power cable is in a dark and humid environment for a long time, the insulation of the cable is easily damaged, and the stability and the safety of a power transmission network are affected. The semiconductor layer and the insulating layer of the power cable can enable the high-frequency Gaussian pulse signal to generate stronger attenuation, so that the running state of the power cable can be evaluated by analyzing the transmission characteristics of the high-frequency Gaussian pulse signal in the cable, and the method has important significance for early warning of fault hidden dangers of the power cable and improvement of stable running capability of a power system.
Disclosure of Invention
The invention provides a cable insulation detection device and method based on a Gaussian pulse bidirectional propagation coefficient, which can effectively measure the actual propagation coefficient of a Gaussian pulse signal in a cable by a device with a simple structure, obtain the insulation distribution coefficient of the cable according to the ratio of the actual propagation coefficient to the theoretical propagation coefficient, reflect the insulation condition and the running state of the cable and be beneficial to predicting the service life of the cable.
In order to achieve the purpose, the device and the method for detecting the insulation of the cable based on the Gaussian pulse bidirectional propagation coefficient comprise a single-core cable model, a signal generating system and a measuring system;
the single-core cable model, the signal generating system and the measuring system are sequentially connected;
the single-core cable model sequentially comprises a cable sheath, a shielding layer, an outer semiconductor layer, an insulating layer, an inner semiconductor layer and a conductor layer from outside to inside;
two ends of the single-core cable model are respectively connected with a coaxial cable, the middle of the single-core cable model is connected with a pulse signal calibrator, and the first end and the last end of the single-core cable model are connected with an oscilloscope in a measurement system;
the signal generating system consists of a pulse signal calibrator capable of generating Gaussian pulse signals and is connected to two ends of the single-core cable model;
the measuring system consists of an oscilloscope, a computer and a network analyzer;
the oscillograph is connected with two ends of the cable respectively, collects signals sent by the pulse signal calibrator and Gaussian pulse signals at two ends of the cable, and is connected with a computer and a network analyzer which are both measurement systems.
Further, the pulse signal calibrator in the middle of the cable can generate Gaussian pulse signals with different charge quantities, and the calculation formula is as follows:
Figure BDA0003470207440000021
wherein: u is the peak voltage of the Gaussian pulse signal, r1Is the radius of the conductor layer (106), r2The radius of the insulating layer (104), ε is the dielectric constant of the insulating material, and k is the proportionality coefficient, which is 2.82.
A cable insulation detection method based on a Gaussian pulse bidirectional propagation coefficient specifically comprises the following steps:
and starting a pulse signal calibrator of the system, giving Gaussian pulse signal excitation with a certain charge quantity in the middle of the cable, and acquiring output signals of the head end and the tail end of the cable by using an oscilloscope respectively.
And when the output signal is acquired, analyzing and processing the output signal through a computer and a network analyzer which are connected with the oscilloscope.
Calculating the actual propagation coefficient gamma of the Gaussian pulse signal in the cable1、γ2The formula is as follows:
Figure BDA0003470207440000031
wherein: l is the cable length, UojFor outputting signals, UinIs the input signal.
Further, in step a, according to the formula
Figure BDA0003470207440000032
Determining the charge emitted by the pulse signal calibrator;
further, in the step b, converting a time domain result obtained in the oscilloscope into a frequency domain form by using Fourier transform;
further, solving the theoretical propagation coefficient gamma of the Gaussian pulse signal in the cable0Determining R, L, C, G primary parameters of the single-core cable model:
the solving formula of the bending resistance R is
Figure BDA0003470207440000033
ω=2πf
Wherein: mu.s0Magnetic permeability mu in vacuumcoIs the permeability, σ, of the conductorcoIs the conductivity of the conductor and f is the signal frequency.
The formula of the method for calculating the inductance L of the bent cable is as follows:
Figure BDA0003470207440000034
D=0.916sinθ
wherein: rlThe radius of curvature of the arc, and θ is the central angle corresponding to the length of the wire.
When the capacitance C of the bent cable is solved, the inner semiconductor layer (105), the insulating layer (104) and the outer semiconductor layer (103) need to be solved respectively, and the formula is as follows:
Figure BDA0003470207440000041
wherein: epsilonx(omega) is the dielectric constant, epsilon, of the respective layer medium0Is the dielectric constant in vacuum.
The capacitance value of the cable can be obtained according to the capacitance values of all layers, and the formula is as follows:
Figure BDA0003470207440000042
wherein: csc1Is the capacitance of the inner semiconductor layer (105), Csc2Is the capacitance of the outer semiconductor layer (103), CinsIs the capacitance of the insulating layer (104).
The bent cable conductance G is calculated as:
Figure BDA0003470207440000043
wherein: dsc1Is the thickness of the inner semiconductor layer (105), dinsIs the thickness of the insulating layer (104), dsc2Is the thickness of the outer semiconductor layer (103), sigmainsIs the insulation layer conductivity.
Theoretical propagation coefficient gamma of Gaussian pulse signal in bidirectional propagation in bent cable0Comprises the following steps:
Figure BDA0003470207440000044
further, calculating the insulation uniform distribution coefficient P of the cablejThe calculation formula is as follows:
Figure BDA0003470207440000045
according to insulation uniform distribution coefficient PjThe insulation condition and the running state of the cable can be evaluated: when P is more than or equal to 0.9jWhen the insulation state is less than or equal to 1.2, the insulation condition of the cable is better, and the running state is stable; when P is presentj>1.2 or Pj<When 0.9, the insulation of the cable is seriously aged and the running state is unstable.
Compared with the prior art, the cable insulation detection device and method based on the Gaussian pulse bidirectional propagation coefficient, which are provided by the invention, are provided with a single-core cable model, a signal generation system and a measurement system, and a Gaussian pulse signal is sent out through a pulse signal calibrator to simulate the running condition of a power cable when a partial discharge phenomenon occurs; the system is simplified, the system is closer to the actual working condition, the measurement accuracy is guaranteed, signals at two ends of a single-core cable are measured through an oscilloscope, a PC (personal computer) end is used for carrying out frequency domain analysis on the measured signals, the propagation coefficient of the signals is determined, the propagation coefficient of the signals is compared with a theoretical calculated value, the insulation uniform distribution coefficient of the cable is obtained, reference is made for evaluating the insulation performance and the aging condition of the cable, and the method is favorable for predicting the service life of the cable
Drawings
FIG. 1 is a general profile of a measuring device according to the present invention;
FIG. 2 is a flow chart of a measurement method of the present invention;
in the figure:
1. power cable model, 2, signal generation system, 3, measurement system, 101, cable sheath, 102, shielding layer, 103, outer semiconductor layer, 104, insulating layer, 105, inner semiconductor layer, 106, conductor layer, 201, pulse signal calibrator, 301, oscilloscope, 302, network analyzer, 303, computer
Detailed Description
The invention will be further explained with reference to the drawings
As shown in fig. 1, a device and a method for detecting the insulation of a cable based on a gaussian pulse two-way propagation coefficient, which comprises a single-core cable model 1, a signal generating system 2 and a measuring system 3;
the single-core cable model 1, the signal generating system 2 and the measuring system 3 are connected in sequence.
The single-core cable model sequentially comprises a cable sheath 101, a shielding layer 102, an outer semiconductor layer 103, an insulating layer 104, an inner semiconductor layer 105 and a conductor layer 106 from outside to inside.
Two ends of the single-core cable model 1 are respectively connected with a coaxial cable, the middle part of the single-core cable model is connected with a pulse signal calibrator 201, and the first end and the last end of the single-core cable model are respectively connected with an oscilloscope 301 in a measuring system 3;
the signal generating system is composed of a pulse signal calibrator 201 which can generate Gaussian pulse signals and is connected in the middle of the single-core cable model 1;
the measuring system 3 consists of an oscilloscope 301, a computer 302 and a network analyzer 303;
the oscilloscope 301 is connected to both ends of the cable, collects the signal from the pulse signal calibrator 201 and the gaussian pulse signal from both ends of the cable, and is connected to the computer 302 and the network analyzer 303, which are both the measurement system 3.
Further, the pulse signal calibrator 201 at the head end of the cable can generate gaussian pulse signals with different charge amounts, and the calculation formula is as follows:
Figure BDA0003470207440000061
wherein: u is the peak voltage of the Gaussian pulse signal, r1Is the radius of the conductor layer (106), r2The radius of the insulating layer (104), ε is the dielectric constant of the insulating material, and k is the proportionality coefficient, which is 2.82.
A cable insulation detection method based on a Gaussian pulse bidirectional propagation coefficient specifically comprises the following steps:
the pulse signal calibrator 201 of the system is started, Gaussian pulse signals with certain charge quantity are given out in the middle of the cable for excitation, and the oscilloscopes 301 are used for collecting output signals of the head end and the tail end of the cable respectively.
While the output signal is collected, the output signal is analyzed and processed by a computer 302 and a network analyzer 303 connected to the oscilloscope 301.
Calculating the actual propagation coefficient gamma of the Gaussian pulse signal in the cable1、γ2The formula is as follows:
Figure BDA0003470207440000071
wherein: l is the cable length, UojFor outputting signals, UinIs the input signal.
Further, in step a, according to the formula
Figure BDA0003470207440000072
Determining the charge from the gaussian pulse signal checker 201
Further, in step b, the time domain result obtained from the oscilloscope 301 is converted into a frequency domain form by fourier transform
Further, solving the theoretical propagation coefficient gamma of the Gaussian pulse signal in the cable0Determining R, L, C, G primary parameters of the single-core cable model 1:
the solving formula of the bending resistance R is
Figure BDA0003470207440000073
ω=2πf
Wherein: mu.s0Magnetic permeability mu in vacuumcoIs the permeability, σ, of the conductorcoIs the conductivity of the conductor and f is the signal frequency.
The formula of the method for calculating the inductance L of the bent cable is as follows:
Figure BDA0003470207440000074
D=0.916sinθ
wherein: rlThe radius of curvature of the arc, and θ is the central angle corresponding to the length of the wire.
When the capacitance C of the bent cable is solved, the inner semiconductor layer (105), the insulating layer (104) and the outer semiconductor layer (103) need to be solved respectively, and the formula is as follows:
Figure BDA0003470207440000075
wherein: epsilonx(omega) is each layerDielectric constant of the medium,. epsilon0Is the dielectric constant in vacuum.
The capacitance value of the cable can be obtained according to the capacitance values of all layers, and the formula is as follows:
Figure BDA0003470207440000081
wherein: csc1Is the capacitance of the inner semiconductor layer (105), Csc2Is the capacitance of the outer semiconductor layer (103), CinsIs the capacitance of the insulating layer (104).
The bent cable conductance G is calculated as:
Figure BDA0003470207440000082
wherein: dsc1Is the thickness of the inner semiconductor layer (105), dinsIs the thickness of the insulating layer (104), dsc2Is the thickness of the outer semiconductor layer (103), sigmainsIs the insulation layer conductivity.
Theoretical propagation coefficient gamma of Gaussian pulse signal in bidirectional propagation in bent cable0Comprises the following steps:
Figure BDA0003470207440000083
further, calculating the insulation uniform distribution coefficient P of the cablejThe calculation formula is as follows:
Figure BDA0003470207440000084
according to insulation uniform distribution coefficient PjThe insulation condition and the running state of the cable can be evaluated: when P is more than or equal to 0.9jWhen the insulation state is less than or equal to 1.2, the insulation condition of the cable is better, and the running state is stable; when P is presentj>1.2 or Pj<When 0.9, the insulation of the cable is seriously aged and the running state is unstable.
The model number is AXCE-F14/24kV1X150/25LT cable, for example, 10m in length and d in cable sheath thicknessb2mm, outer semiconductor layer thickness dsc20.45mm, thickness d of insulating layerins4.1mm, inner semiconductor layer thickness dsc10.44mm and radius r of conductor layer1The experimental procedure, 6.7mm, comprises the following steps:
1) generating a Gaussian pulse signal with the charge amount of 100pc by using a pulse signal calibrator, wherein the voltage amplitude of the Gaussian pulse signal is 64 mv;
2) acquiring an output signal at the tail end of the cable by using an oscilloscope, and carrying out Fourier transform on the output signal by using a computer and a network analyzer;
3) determining the actual propagation coefficient gamma of the input signal in the cable by analyzing the ratio of the signal to the output signal1=0.23+j7.3。γ2=0.36+j11.3
4) The theoretical propagation coefficient gamma of the signal in the cable can be obtained by modeling the cable, obtaining the primary parameter R, L, C, G of the cable and obtaining the theoretical propagation coefficient gamma of the signal in the cable0=0.19+j6.5;
5) The insulation uniform distribution coefficient P of the cable can be obtained according to a formula1=1.123,P21.738 the cable had good insulation at one end and poor insulation at the other end, requiring service and maintenance.
According to the technical scheme, the invention provides the cable insulation detection device and method based on the Gaussian pulse bidirectional propagation coefficient. In the above embodiments, the present invention is described only by way of example, but those skilled in the art, after reading the present patent application, may make various modifications to the present invention without departing from the spirit and scope of the present invention.

Claims (6)

1. A cable insulation detection device and method based on a Gaussian pulse bidirectional propagation coefficient comprises a single-core cable model (1), a signal generation system (2) and a measurement system (3);
the single-core cable model (1), the signal generating system (2) and the measuring system (3) are sequentially connected;
the single-core cable model sequentially comprises a cable sheath (101), a shielding layer (102), an outer semiconductor layer (103), an insulating layer (104), an inner semiconductor layer (105) and a conductor layer (106) from outside to inside;
two ends of the single-core cable model (1) are respectively connected with a coaxial cable, and the first end and the last end of the single-core cable model are both connected with an oscilloscope (301) in the measuring system (3);
the signal generating system is composed of a pulse signal calibrator (201) capable of generating Gaussian pulse signals and is connected to the middle of the single-core cable model (1);
the measuring system (3) consists of an oscilloscope (301), a computer (302) and a network analyzer (303);
the oscilloscope (301) is respectively connected with two ends of the cable, collects signals sent by the pulse signal calibrator (201) and Gaussian pulse signals at two ends of the cable, and is connected with the computer (302) and the network analyzer (303) which are both the measuring system (3).
2. The apparatus and method for detecting cable insulation based on the coefficient of bidirectional propagation of gaussian pulse as claimed in claim 1, wherein the pulse signal calibrator (201) at the head end of the cable can generate gaussian pulse signals with different charge amounts, and the calculation formula is:
Figure FDA0003470207430000011
wherein: u is the peak voltage of the Gaussian pulse, r1Is the radius of the conductor layer (106), r2The radius of the insulating layer (104), ε is the dielectric constant of the insulating material, and k is the proportionality coefficient, which is 2.82.
3. A cable insulation detection method based on a Gaussian pulse bidirectional propagation coefficient specifically comprises the following steps:
a. starting a pulse signal calibrator (201) of the system, giving Gaussian pulse signal excitation with a certain charge quantity in the middle of the cable, and respectively collecting output signals of the head end and the tail end of the cable by using an oscilloscope (301);
b. when the output signal is acquired, analyzing and processing the output signal through a computer (302) and a network analyzer (303) which are connected with an oscilloscope (301);
c. calculating the actual propagation coefficient gamma of the Gaussian pulse signal in the cable1、γ2The formula is as follows:
Figure FDA0003470207430000021
wherein: l is the cable length, UojFor outputting signals, UinIs the input signal.
4. The apparatus and method for detecting cable insulation according to claim 3, wherein in step a, the equation is based on
Figure FDA0003470207430000022
Determining the charge emitted by the Gaussian pulse signal checker (201); in the step b, the time domain result obtained in the oscilloscope (301) is converted into a frequency domain form by Fourier transform.
5. The device and the method for detecting the insulation of the cable based on the bidirectional propagation coefficient of the Gaussian pulse as claimed in claim 1, wherein the theoretical propagation coefficient γ of the Gaussian pulse signal in the cable is solved0Determining R, L, C, G primary parameters of the single-core cable model (1):
the solving formula of the bending resistance R is
Figure FDA0003470207430000023
ω=2πf
Wherein: mu.s0Magnetic permeability mu in vacuumcoIs the permeability, σ, of the conductorcoIs the conductivity of the conductor and f is the signal frequency.
The formula of the method for calculating the inductance L of the bent cable is as follows:
Figure FDA0003470207430000031
D=0.916sinθ
wherein: rlRadius of arc curvature; θ is a central angle corresponding to the length of the wire.
When the capacitance C of the bent cable is solved, the inner semiconductor layer (105), the insulating layer (104) and the outer semiconductor layer (103) need to be solved respectively, and the formula is as follows:
Figure FDA0003470207430000032
wherein: epsilonx(omega) is the dielectric constant, epsilon, of the respective layer medium0Is the dielectric constant in vacuum.
The capacitance value of the cable can be obtained according to the capacitance values of all layers, and the formula is as follows:
Figure FDA0003470207430000033
wherein: csc1Is the capacitance of the inner semiconductor layer (105), Csc2Is the capacitance of the outer semiconductor layer (103), CinsIs the capacitance of the insulating layer (104).
The bent cable conductance G is calculated as:
Figure FDA0003470207430000034
wherein: dsc1Is the thickness of the inner semiconductor layer (105), dinsIs the thickness of the insulating layer (104), dsc2Is the thickness of the outer semiconductor layer (103), sigmainsIs the insulation layer conductivity.
Theoretical propagation coefficient gamma of Gaussian pulse signal in bidirectional propagation in bent cable0Comprises the following steps:
Figure FDA0003470207430000035
6. the cable assessment device and method according to claims 3 to 5, wherein the insulation uniformity distribution coefficient P of the cable is calculatedjThe calculation formula is as follows:
Figure FDA0003470207430000041
according to insulation uniform distribution coefficient PjThe insulation condition and the running state of the cable can be evaluated: when P is more than or equal to 0.9jWhen the insulation state is less than or equal to 1.2, the insulation condition of the cable is better, and the running state is stable; when P is presentj>1.2 or Pj<When 0.9, the insulation of the cable is seriously aged and the running state is unstable.
CN202210041020.8A 2022-01-14 2022-01-14 Cable insulation detection device and method based on Gaussian pulse bidirectional propagation coefficient Pending CN114414959A (en)

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