Disclosure of Invention
The invention aims to provide a method and a system for evaluating insulation aging of a 10kV XLPE power cable, so as to evaluate the overall aging of the cable without damaging the insulation of the cable.
In order to solve the technical problems, the invention adopts the following technical scheme.
A10 kV XLPE power cable insulation aging evaluation method comprises the following steps:
measuring polarization-depolarization currents of a polarization voltage polarization process and a short circuit grounding depolarization process applied to the evaluated 10kV XLPE power cable;
calculating to obtain characteristic quantity representing the insulation aging state of the 10kV XLPE power cable based on the measured polarization-depolarization current and the applied polarization voltage;
and evaluating the insulation aging degree of the 10kV XLPE power cable based on the characteristic quantity and an evaluation standard.
The characteristic quantity includes direct current conductivity σ 0 0.1Hz low-frequency dielectric loss factor tan delta, a non-linear coefficient DONL, wherein the direct current conductivity sigma 0 Is in units of S/m, and the low frequency dielectric loss factor tan delta of 0.1Hz is in units of%.
The method for calculating the non-linear coefficient DONL is as follows:
in the formula (6), DONL is the insulation nonlinear coefficient of the 10kV XLPE power cable; sigma' 0 ' (2 kV) is the direct current conductivity at a polarization voltage of 2 kV; sigma' 0 (1 kV) is the direct current conductivity at a polarization voltage of 1 kV.
The evaluation criteria were: when sigma is 0 ≤1×10 -14 When the 0.1Hz low-frequency dielectric loss factor tan delta is less than or equal to 0.05 and the DONL is less than or equal to 1.2, the insulation aging state of the 10kV XLPE power cable is evaluated to be good; or, when 1 × 10 is satisfied -14 <σ 0 <1×10 -12 、0.05<tanδ<0.2、DONL&1.2, evaluating the insulation aging state of the 10kV XLPE power cable to be slightly aged; or, when σ is satisfied 0 ≥1×10 -12 When the tan delta is more than or equal to one of 0.2, the insulation aging state of the 10kV XLPE power cable is evaluated to be serious aging; at the same time, when DONL>, 1.2, the cable is evaluated for possible bridging water tree degradation.
A10 kV XLPE power cable insulation aging evaluation system comprises the following steps:
a measuring unit for measuring polarization-depolarization currents of a polarization voltage polarization process and a short-circuit ground depolarization process applied to the evaluated 10kV XLPE power cable;
a calculating unit, which is used for calculating and obtaining the characteristic quantity representing the insulation aging state of the 10kV XLPE power cable based on the measured polarization-depolarization current and the applied polarization voltage;
and the evaluation unit is used for evaluating the insulation aging degree of the 10kV XLPE power cable based on the characteristic quantity and an evaluation standard.
The characteristic quantity includes a direct current conductivity σ 0 0.1Hz low frequency dielectric loss factor tan delta, a non-linear coefficient DONL, wherein the direct current conductivity sigma 0 Is in units of S/m, and the low frequency dielectric loss factor tan delta of 0.1Hz is in units of%.
The method for calculating the non-linear coefficient DONL is as follows:
in the formula (6), DONL is the insulation nonlinear coefficient of the 10kV XLPE power cable; sigma' 0 (2 kV) is the direct current conductivity at a polarization voltage of 2 kV; sigma' 0 (1 kV) is the direct current conductivity at a polarization voltage of 1 kV.
The evaluation criteria were: when sigma is 0 ≤1×10 -14 0.1Hz low-frequency dielectric loss factor tan delta is less than or equal to 0.05 and DONL is less than or equal to 1.2Evaluating the insulation aging state of the 10kV XLPE power cable to be good; or, when 1 × 10 is satisfied -14 <σ 0 <1×10 -12 、0.05<tanδ<0.2、DONL&1.2, evaluating the insulation aging state of the 10kV XLPE power cable to be slightly aged; or, when σ is satisfied 0 ≥1×10 -12 When the tan delta is more than or equal to one of 0.2, the insulation aging state of the 10kV XLPE power cable is evaluated to be serious aging; at the same time, when DONL>, 1.2, the cable is evaluated for possible bridging water tree degradation.
The present invention has the following advantageous technical effects.
The invention calculates the characteristic quantity for representing the insulation aging state of the cable based on the polarization-depolarization current obtained by measuring the evaluated cable and the applied polarization voltage, and evaluates the insulation aging degree of the cable based on the characteristic quantity and an evaluation standard. The polarization/depolarization current (PDC) test voltage is low, the insulation of the cable cannot be damaged, and the sensitivity to the overall aging and serious local defects of the cable is high, so that the PDC test voltage has wide application prospects in practical application.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention. The embodiments and features of the embodiments of the present invention may be arbitrarily combined with each other without conflict. Also, while a logical order is shown in the flow diagrams, in some cases, the steps shown or described may be performed in an order different than here.
The invention discloses a 10kV XLPE power cable insulation aging evaluation method, which comprises the following steps:
measuring polarization-depolarization currents of a polarization voltage polarization process and a short circuit grounding depolarization process applied to the evaluated 10kV XLPE power cable;
calculating to obtain characteristic quantity representing the insulation aging state of the 10kV XLPE power cable based on the measured polarization-depolarization current and the applied polarization voltage;
and evaluating the insulation aging degree of the 10kV XLPE power cable based on the characteristic quantity and an evaluation standard.
In the method of the invention, the characteristic quantity comprises the direct current conductivity σ 0 0.1Hz low frequency dielectric loss factor tan delta, a non-linear coefficient DONL, wherein the direct current conductivity sigma 0 Is in units of S/m, and the low frequency dielectric loss factor tan delta of 0.1Hz is in units of%.
DC conductivity σ 0 The calculation method of (2) is as follows:
when the 10kV XLPE power cable is a coaxial cable, the vacuum capacitor C 0 Calculated by formula (1);
in the formula (1), epsilon 0 Is a vacuum dielectric constant; r is a radical of hydrogen s The inner radius of a shielding layer of the XLPE power cable is 10 kV; r is c Is the core radius of a 10kV XLPE power cable. Based on vacuum capacitor C 0 Polarization-depolarization current and polarization voltage, calculating to obtain DC conductivity sigma 0 。
DC conductivity σ 0 Is calculated by the formula (2),
in the formula (2), U c A polarization voltage applied for polarization-depolarization current measurement; i.e. i pol (t) is the polarization current at the corresponding time; i.e. i depol (t) is the depolarization current at the corresponding time.
The calculation method of the low-frequency dielectric loss factor tan delta at 0.1Hz is as follows:
calculating the vacuum capacitance C of the evaluated 10kV XLPE power cable 0 Wherein the vacuum capacitor C 0 Calculated from equation (1):
in the formula (1), ε 0 is a vacuum dielectric constant; r is a radical of hydrogen s The inner radius of a shielding layer of the XLPE power cable is 10 kV; r is a radical of hydrogen c The core radius of the XLPE power cable is 10 kV;
calculating a medium response function f (t) of the depolarization current:
fourier transform is carried out on the medium response function f (t) to obtain
In the formula (4), χ (ω) is a repolarization rate; χ' (ω) is the real part of the repolarization rate; χ "(ω) is the imaginary part of the repolarization rate;
the dielectric loss factor is:
in the formula (5), epsilon ∞ A high frequency component that is a dielectric constant;
and selecting the low-frequency dielectric loss factor at 0.1Hz as a reference characteristic quantity.
The nonlinear coefficient DONL is calculated as follows:
in the formula (6), DONL is the insulation nonlinear coefficient of the 10kV XLPE power cable; sigma' 0 ' (2 kV) is the direct current conductivity at a polarization voltage of 2 kV; sigma' 0 (1 kV) is the direct current conductivity at a polarization voltage of 1 kV.
Table 1 shows the old insulation aging state evaluation table of 10kV XLPE power cable
Insulation aging state evaluation
|
DC conductivity σ 0 |
0.1Hz Low frequency dielectric loss tan delta (%)
|
Nonlinear coefficient DONL
|
Good condition
|
σ 0 ≤1×10 -14 |
tanδ≤0.05
|
DONL≤1.2
|
It is worth noting that
|
1×10 -14 <σ 0 <1×10 -12 |
0.05<tanδ<0.2
|
DONL>1.2
|
Deterioration of insulation
|
σ 0 ≥1×10 -12 |
tanδ≥0.2
|
|
See Table 1 for evaluation criteria when σ 0 ≤1×10 -14 And when the 0.1Hz low-frequency dielectric loss factor tan delta is less than or equal to 0.05 and less than or equal to 1.2, the insulation aging state of the 10kV XLPE power cable is evaluated to be good, and in this case, no measures need to be taken.
When satisfying 1X 10 -14 <σ 0 <1×10 -12 、0.05<tanδ<0.2、DONL&And 1.2, evaluating the insulation aging state of the 10kV XLPE power cable to be slightly aged, wherein the insulation aging state does not affect normal operation and needs to be diagnosed periodically.
When sigma is satisfied 0 ≥1×10 -12 And when the tan delta is more than or equal to 0.2, the insulation aging state of the 10kV XLPE power cable is evaluated to be serious aging, in this case, accidents can happen when the power cable is continuously operated, and further detection and collection are requiredTaking repair or replacement measures.
The nonlinear coefficient DONL has better sensitivity to serious centralized defects such as a 10kV XLPE power cable bridge water tree, and when the DONL is larger than 1.2, the insulation aging state of the 10kV XLPE power cable is evaluated to be possible to have bridge water tree aging.
Fig. 5 schematically shows a schematic of the structure of the system of the present invention. Referring to fig. 5, the insulation aging evaluation system 1 for 10kV XLPE power cables of the present invention includes a measuring unit 11, a calculating unit 12, and an evaluating unit 13.
The measurement unit 11 is used to measure the polarization-depolarization currents of the polarization process and the short-circuit-to-ground depolarization process applied to the evaluated 10kV XLPE power cable. The measuring unit 11 may be a polarization-depolarization current measuring system as disclosed in chinese patent document (publication No. CN 106908654A, publication No. 2017.06.30). The method for measuring the polarization-depolarization current can adopt a method for measuring the polarization-depolarization current of an XLPE cable, which is disclosed in Chinese patent document (publication No. CN 105467190A, published 2016.04.06).
The calculation unit 12 is configured to calculate a characteristic quantity characterizing an aging state of the insulation of the cable based on the measured polarization-depolarization current and the applied polarization voltage.
The evaluation unit 13 is used for evaluating the cable insulation aging degree based on the characteristic quantity and an evaluation standard.
Wherein the characteristic quantity comprises a DC conductivity σ 0 0.1Hz low frequency dielectric loss factor tan delta, a non-linear coefficient DONL, wherein the direct current conductivity sigma 0 The unit of (a) is S/m,
DC conductivity σ 0 The calculation method of (2) is as follows:
when the 10kV XLPE power cable is a coaxial cable, the vacuum capacitor C 0 Calculated by formula (1);
in the formula (1), the reaction mixture is,ε 0 is a vacuum dielectric constant; r is s The inner radius of the shielding layer of the XLPE power cable is 10 kV; r is c The core radius of the XLPE power cable is 10 kV;
based on the vacuum capacitor C 0 Polarization-depolarization current and polarization voltage, and calculating to obtain the DC conductivity sigma 0 。
DC conductivity σ 0 Calculated by formula (2);
in formula (2), U c A polarization voltage applied for polarization-depolarization current measurement; i all right angle pol (t) is the polarization current at the corresponding time; i.e. i depol (t) is the depolarization current at the corresponding time.
The calculation method of the low-frequency dielectric loss factor tan delta at 0.1Hz is as follows:
calculating the vacuum capacitance C of the evaluated 10kV XLPE power cable 0 When the 10kV XLPE power cable is a coaxial cable, the vacuum capacitor C 0 Calculated by formula (1);
in the formula (1), epsilon 0 Is a vacuum dielectric constant; r is s The inner radius of the shielding layer of the XLPE power cable is 10 kV; r is c The core radius of the XLPE power cable is 10 kV;
calculating a medium response function f (t) of the depolarizing current:
fourier transform is carried out on the medium response function f (t) to obtain
In the formula (4), χ (ω) is a repolarization rate; χ' (ω) is the real part of the repolarization rate; χ "(ω) is the imaginary component of the repolarization rate;
the dielectric loss factor is:
in the formula (5), epsilon ∞ A high frequency component that is a dielectric constant;
and selecting the low-frequency dielectric loss factor at 0.1Hz as a reference characteristic quantity.
The nonlinear coefficient DONL is calculated as follows:
in the formula (6), DONL is the insulation nonlinear coefficient of the 10kV XLPE power cable; sigma' 0 ' (2 kV) is the direct current conductivity at a polarization voltage of 2 kV; sigma' 0 (1 kV) is the direct current conductivity at a polarization voltage of 1 kV.
When sigma is 0 ≤1×10 -14 And a 0.1Hz low-frequency dielectric loss factor tan delta is less than or equal to 0.05 and DONL is less than or equal to 1.2, the cable insulation aging state is evaluated to be good.
See Table 1, when 1X 10 is satisfied -14 <σ 0 <1×10 -12 、0.05<tanδ<0.2、DONL> 1.2, the cable insulation aging state is evaluated as slight aging.
See Table 1 when σ is satisfied 0 ≥1×10 -12 And tan delta is more than or equal to 0.2, and the insulation aging state of the cable is evaluated to be serious aging.
Referring to table 1, the cable insulation aging status was evaluated as possible bridging water tree aging when DONL > 1.2.
The invention is further illustrated by the following examples.
In the embodiment, 10kV XLPE 50cm short cable samples are selected for the cable to be evaluated to carry out the accelerated water tree aging and natural moisture test; and selecting 10kV XLPE 95m long cables B and C to perform a needle-free and needle-free accelerated water tree aging experiment. Specifically, as shown in fig. 1 and 2, the aging voltage is 7.5kV and 400Hz high frequency high voltage.
And carrying out polarization-depolarization current tests on the aged and unaged long and short cable samples, and carrying out data processing such as filtering, fitting and the like on test data, wherein the goodness of fit reaches over 0.98.
Calculating the direct current conductivity sigma of the short cable sample by using the formulas (2), (4) and (6) 0 Non-linearity factor DONL and direct current conductivity σ of the long cable 0 And comprehensively evaluating the insulation aging state of the cable by using the low-frequency dielectric loss factor tan delta of 0.1Hz and the nonlinear coefficient DONL.
The direct current conductivity sigma of the short cable shown in figures 3 and 4 is obtained 0 And the increase of the non-linearity factor DONL with aging time. In order to reduce the influence of specificity and contingency of the test samples on experimental results, the distribution points of the direct current conductivity and the nonlinear coefficient in the graph are the arithmetic mean values of the test results of the test samples under the same aging conditions. The direct current conductivity and the nonlinear coefficient of a new sample of the untreated short cable are hardly changed; the direct current conductivity and the nonlinear coefficient of a natural damped cable sample are not changed greatly, but have an increasing trend all the time; the direct current conductivity and the nonlinear coefficient of the cable sample for accelerating the water tree aging are obviously increased and are larger than the critical aging limit value provided by the criterion of the invention.
The direct current conductivity σ of the long cable was obtained as shown in Table 2 0 0.1Hz low frequency dielectric loss factor tan delta (0.1 Hz low frequency dielectric loss tan delta), and a non-linearity coefficient DONL. According to the method, the aging of the two phases of the cable B and the cable C can be judged to be different after the water tree aging is accelerated by pricking and not pricking, wherein the water tree aging phenomenon possibly exists in the cable C phase.
TABLE 2
In the embodiments provided by the present invention, it should be understood that the disclosed system and method can be implemented in other ways. For example, the above-described system embodiments are merely illustrative, and for example, the division of the units is only one logical functional division, and other divisions may be realized in practice, for example, a plurality of units or components may be combined or integrated into another system, or some features may be omitted, or not executed. In addition, the shown or discussed coupling or direct coupling or communication connection between each other may be through some interfaces, indirect coupling or communication connection of systems or units, and may be in an electrical, mechanical or other form.
The units described as separate parts may or may not be physically separate, may be located in one place, or may be distributed over a plurality of network units. Some or all of the units can be selected according to actual needs to achieve the purpose of the solution of the embodiment.
In addition, functional units in the embodiments of the present invention may be integrated into one processing unit, or each unit may exist alone physically, or two or more units are integrated into one unit. The integrated unit can be realized in a form of hardware, and can also be realized in a form of a software functional unit.
The integrated unit, if implemented in the form of a software functional unit and sold or used as a stand-alone product, may be stored in a computer readable storage medium. Based on such understanding, the technical solution of the present invention may be embodied in the form of a software product, which is stored in a storage medium and includes several instructions for causing a computer device (which may be a personal computer, a server, a network device, or the like) or a processor (processor) to execute all or part of the steps of the method according to the embodiments of the present invention. And the aforementioned storage medium/unit includes: various media capable of storing program codes, such as a Universal Serial Bus flash disk (usb flash disk), a removable hard disk, a Read-Only Memory (ROM), a Random Access Memory (RAM), a magnetic disk, or an optical disk.
It will be apparent to those skilled in the art that various changes and modifications may be made in the present invention without departing from the spirit and scope of the invention. Thus, if such modifications and variations of the present invention fall within the scope of the claims of the present invention and their equivalents, the present invention is also intended to include such modifications and variations.