1. Introduction
With the development of polymeric materials, polymer-insulated cables have been widely used in the transmission of electric energy [
1]. Compared to traditional cables such as oil-filled cables and oil paper cables, cross-linked polyethylene (XLPE) cables are widely used in transmission lines due to their environmental cleanliness and excellent insulation performance [
2,
3]. The cable transmission system mainly consists of the cable body, cable accessories, and terminal joints. At present, with the rise of long-distance ultra-high voltage transmission technology, cable accessories are widely used for the transmission of electric energy [
4]. After decades of development, the insulation problem of the cable body has been improved, while the problem of cable joints remains prominent [
5,
6]. The common cable accessories are usually composed of a variety of different solid media, thus forming a variety of different interfaces, mainly including the interfaces of cable main insulation—semi-conductive layer, cable main insulation—accessory insulation, stress cone—accessory main insulation, and so on. The interface composed of the main insulation of the cable and the insulation of the accessories is the most critical, and the subsequent “cable joint interface” in this article also refers to this interface.
Due to the existence of the cable joint interface, cable accessories have long been the weakest link in cable systems [
7,
8,
9,
10]. According to the analysis of AC cable failure cases, about 80% of cable failures are caused by cable accessories. Therefore, many scholars have conducted research on the failure of cable accessory interfaces.
The interfacial breakdown between two different insulation materials is completely different from bulk breakdown and surface flashover phenomena [
5]. The breakdown of the interface is not only related to the insulating properties of the dielectrics but also related to the contact state of the interface and the filler of the interfacial micro gap [
6]. C. Dang et al. [
11,
12] studied the AC breakdown characteristics of the interface between two-layer dielectrics, finding that the interfacial breakdown voltage increases with the increase in the interfacial pressure and that aging can reduce the interfacial pressure, thereby reducing the interfacial breakdown voltage. E. Kantar et al. [
6,
13,
14] conducted some research on the effects of interfacial roughness, interfacial pressure, material elastic modulus, and composite media fillers on the interfacial breakdown strength of double-layered media. It was found that the AC breakdown voltage of the interface increases with the increase in the interfacial pressure, and the smaller the elastic modulus, the more significant the impact on the interface pressure. B. Du et al. [
15,
16] studied the changes in the breakdown voltage between the interface of a two-layer medium with factors such as roughness and interfacial pressure. They found that the greater the roughness of the interface, the stronger the discharge light at the interface, and the wider the damage channel of the electrical trace. In addition, with the increasing interfacial pressure, the fractal dimensions of the carbonization decrease.
The normal operating temperature of the cable is generally 90 °C, and the temperature can even reach 150 °C when there is a short circuit or other faults in the cable [
17]. Therefore, cable insulation will suffer from long-term thermal effects. Under high temperatures, the degradation of XLPE material drops sharply in insulation performance. H. Li et al. [
18] found that at 100 °C, thermal aging mainly affects the amorphous region; however, under thermal aging at 160 °C, the insulation is in a molten state, resulting in a transition from the crystalline region to the amorphous region of the material. Kim et al. [
19] have suggested the impact of thermal aging on the insulation performance and breakdown characteristics of XLPE cables and found that thermal aging is reflected in the destruction of the molecular chain of XLPE at the micro level, while at the macro level, it is reflected in the reduction in the breakdown strength of XLPE insulation. As for silicone rubber (SiR) materials, mainly used in cable accessories, Y. Zhang et al. [
20] established a physical weak zone model of SiR based on shell core results and found that electric properties, such as electrical tree characteristics, show a trend of first increasing and then decreasing. However, little attention has been paid to the electrical performance of cable accessory interfaces considering the thermal effects.
The aim of this paper is to investigate the electrical resistance performance of the interface considering thermal effects. The electrical properties (including interfacial breakdown voltage and interfacial resistivity) of the interface at different temperatures are studied. The rules of temperature on the electric properties of the interface are revealed. Moreover, thermal effects tests of XLPE samples are carried out at 100 °C for 40 days. In addition, the physicochemical properties and electric properties of XLPE materials under thermal effects are analyzed. Then, the influence mechanisms of material interface changes on the electrical properties of the interface under thermal effects are discussed. Finally, the suggestions for the operation and maintenance of cable accessories engineering are discussed and pointed out.
2. Materials and Methods
2.1. Specimen Preparation
Generally speaking, the polymeric material for cable main insulation is XLPE, and the accessory insulation is generally SiR or EPDM rubber. This article selects a double-layer dielectric interface composed of XLPE and SiR to simulate the cable accessory interface. The SiR specimen is made of two-component high-temperature vulcanized SiR (Zhonglan Chenguang, Chengdu, China), mixed evenly in a 1:1 ratio, and heated at 165 °C for 10 min at a pressure of 5 MPa under thermal vulcanization. The size of the SiR samples is 40 × 40 mm, with a thickness of 2 mm. The XLPE specimen is made of XLPE particles (Borealis AG, Vienna, Austria) vulcanized by a flat vulcanization machine, and the vulcanization conditions are as follows: pre-crosslinking for 10 min at 120 °C and 15 MPa; the cross-linked sample is obtained by crosslinking at 180 °C and 15 MPa for 8 min.
In the actual installation process of cable joints, in order to prevent semi-conductive particles from remaining on the main insulation surface, sanding paper is used to polish the main insulation surface. In this article, the surface of XLPE is uniformly polished with 1000-grit paper, and then cleaned with anhydrous ethanol. The size of the XLPE specimen is 40 × 40 mm with a thickness of 1 mm. As for the tests of thermal effects, XLPE specimens are arranged inside high-temperature ovens at temperatures of 100 °C. Specimens are taken out every 10 days for a total time of 40 days.
2.2. Materials Characterization
The interfacial microstructure morphology of XLPE specimens is observed by scanning electronic microscopy (SEM; Verios G4, Thermo Fisher Scientific, Waltham, MA, USA).
Infrared spectroscopy can be used to characterize the changes in functional groups of materials before and after thermal effects. A Fourier transform infrared spectrometer (Avatar 360, Madison, WI, USA) is used to test XLPE specimens at different times of thermal action, with a scanning range of 4000 cm−1–500 cm−1. Then, the carbonyl index is calculated by repeating each test 3–5 times.
Differential scanning calorimerty (DSC) is usually used to evaluate the crystallization behavior of polymers. The XLPE specimens are tested with the differential scanning calorimetry method (DSC 214 Polyma, Netzsch, Selb, Germany) in the argon atmosphere. All groups are carried out 3–5 times, and one of the typical DSC curves of each group is shown in this paper. Two heating cycles are performed. The heating temperatures range from 25 °C to 150 °C. The heating and cooling rates are both 10 °C/min. The data obtained from the second heating process are used to analyze the crystallization characteristics of the XLPE. The average crystallinity of the XLPE specimen can be expressed as follows:
where
is the melting enthalpy of the specimen and
is the melting enthalpy with a crystallinity of 100%. Here, as for XLPE materials,
= 287.3 J/g.
2.3. Interfacial Breakdown Experiment
Due to the electric field concentration caused by the root of the stress cone root or the presence of interface defects, a needle plate electrode structure is used to simulate the related electric field concentration phenomenon, and the detailed interfacial specimen and electrode arrangement are shown in
Figure 1. The interfacial electrode is copper foil with a thickness of 0.05 mm. The angle of the high-voltage electrode is 30° and the distance between the tip of the high-voltage electrode and the grounding electrode is 500.0 mm.
The application device of interfacial pressure is shown in
Figure 2, which mainly consists of three organic glass plates, bolts, nuts made of epoxy resin material, and pressure sensors. The aperture of the four corners of the organic glass plate is slightly larger than the diameter of the bolt, so the force between the bolt and the glass plate can be ignored. The pressure sensor is placed between the upper two plates. The SiR/XLPE specimen (as shown in
Figure 1) is placed between the lower two plates. Before the measurement, the pressure is transmitted between the epoxy plates through four bolts by means of rotating the nuts and the indication of the pressure sensor can be considered as the force exerted on the sample. A pressure of 0.1 MPa of the interface is chosen in all interfacial breakdown experiments.
As for the study of temperature effects, the testing temperature of 25–100 °C is controlled by an air-drying oven. Before the experiment, the double-layer dielectric specimens and interfacial pressure device are placed into the oven for 30 min. When considering the effects of thermal action for a long time, a fixed temperature of 25 °C is chosen. During the AC breakdown tests, the AC voltage is increased at a constant rate of 0.5 kV/s until interfacial breakdown occurs. Due to the significant uncertainty of the breakdown of polymer, in order to better analyze the results, each group of the breakdown tests is repeated 10 times, and the average and statistical variance of these 10 groups of results is calculated as the breakdown voltage of the SiR/XLPE interface.
2.4. Interfacial Resistivity Experiment
The interfacial resistivity of the double-layer dielectric is measured using a four-electrode system [
21,
22], an interfacial pressure device, and the Keithley 6485. The arrangement of the interfacial electrodes and the wiring diagram of the testing circuit is shown in
Figure 3. The four-electrode system includes two interfacial electrodes in SiR/XLPE and shielding electrodes on the upper and lower surfaces of the double-layer dielectric. Copper foil tape with a thickness of 0.05 mm is adopted for all electrodes.
As shown in
Figure 3a, the diameter (
d) of the test electrode is 24 mm, and the gap (
g) between the high-voltage electrode and the test electrode is 2 mm. Before the experiment, the four-electrode system is placed into the interfacial pressure device. The interfacial pressure is set to 0.1 MPa by tightening the nuts. The temperature regulation is the same as shown in
Section 2.3. The external DC high-voltage source which is connected to the high-voltage electrode generates a high voltage of 1 kV. The Keithley 6485 connected to the testing electrode collects the current flowing through the testing sample interface. The samples are polarized for 10 min.
The average value of the current in the last 10 s of the total measurement time is taken as the steady-state current
Isc. According to IEC standards, the calculation equation for the interfacial resistivity (
ρ) of double-layer media can be calculated by Equation (2). A total of 3–5 experiments per group are conducted and the interface resistivity of the relevant group is calculated by averaging their values.
3. Electrical Properties of the Interface at Different Temperatures
3.1. Interfacial Breakdown Voltage
Figure 4 shows the interfacial breakdown voltage at different temperatures. At 25 °C, the interfacial breakdown voltage of SiR/XLPE is 11.3 kV. When the temperature rises to 50 °C, it remains basically unchanged. However, with the increase in the temperature to 70 °C, the breakdown voltage reaches the maximum value (13.4 kV), increasing by 18.6% compared to that at 25 °C. Interestingly, when the temperature further increases from 70 °C to 100 °C, the interfacial breakdown voltage of SiR/XLPE decreases to 9.0 kV, declining by 20.4% compared to that at 25 °C. Therefore, it can be summarized that the interfacial breakdown voltage first remains unchanged in the lower temperature and then increases with the increase in the temperature. However, at elevated temperatures, the interfacial breakdown voltage decreases with the increasing temperature.
3.2. Interfacial Resistivity
Figure 5 shows the interfacial resistivity of SiR/XLPE at different temperatures, while its trend is similar to the trend of the interfacial breakdown voltage. It is found that the interfacial resistivity of SiR/XLPE is 9.8 × 10
13 Ω at 25 °C. When the temperature rises to 55 °C, it decreases to 5.4 × 10
13 Ω, a decrease of 44.9% compared to that at 25 °C. Moreover, it reaches 5.8 × 10
14 Ω at 70 °C, which is the maximum among all specimens. With the further increase in temperature from 70 °C to 100 °C, the interfacial resistivity decreases by 86.2% compared to that at 70 °C.
3.3. Effects of Temperature on Electrical Properties
The conductivity of polymers is greatly influenced by the temperature and electric field. Hjerrod et al. analyzed the trend of conductivity changes in materials at different temperatures. The material conductivity function of the temperature and electric field could be shown as follows [
23]:
where A is a constant related to the material; B is a constant related to the electric field;
φ is the activation energy of the material;
q is the charge amount of the carrier; and
kb is the Boltzmann constant.
From Equation (3), the conductivity of both XLPE and SiR materials increases with the increase in temperature. However, the electrical properties of the double-layer interface are related to not only the insulation properties of XLPE and SiR but also the contact state, interface fillers, etc.
Figure 6 shows a schematic diagram of the contact state between SiR and XLPE. The SiR is equivalent to a smooth medium in the contact diagram due to the fact that the surface of the SiR has not been polished with sandpaper. Usually, the melting point of XLPE is within the range of 85–110 °C. As the temperature increases, the temperature of XLPE material gradually approaches its melting point and becomes softer. Therefore, under a certain pressure, the interface gap of the double-layer medium decreases with the increased contact area between the XLPE and SiR, as shown in
Figure 6b. Usually, the dielectric constant of gas is less than that of the solid dielectric; the dielectric breakdown or partial discharge of gas occurs more easily at a lower voltage. Thus, with the increase in temperature, the interface gap decreases, and the interface breakdown voltage increases.
When the temperature increases further, although material softening at high temperatures can cause a decrease in interfacial voids, charge carriers are injected into the bilayer dielectric interface through the high-voltage electrode in a thermal ionization manner according to Richardson Schottky’s law. In addition, according to the theory of solid media, the energy band of the medium tilts under the action of an external electric field, so the carriers captured by the interface traps of SiR and XLPE obtain sufficient energy, which makes it easier to cross the material’s trap barrier and reach the interface. Therefore, the number of charge carriers at the interface of the double-layer dielectric increases sharply, indicating a significant downward trend in the interfacial breakdown voltage.
Normally, interfacial resistivity can be used to evaluate the difficulty of charge transfer or current flow along the interface. The lower interfacial resistivity indicates the leakage current can more easily flow along the interface. The bulk conductivity of XLPE and SiR increases with the increase in temperature, as shown in Equation (3), which also makes the current flow more easily along the interface of the double-layer medium, resulting in a decrease in interfacial resistivity. The XLPE becomes softer when the temperature of XLPE gradually approaches the melting point, and the contact area of the double-layer dielectric interface increases, which makes the interface gap decrease, resulting in a decrease in the number of charge carriers at the interface. Thus, the interfacial resistivity will be improved. When the temperature gets higher, similar to the effects on the breakdown voltage, the number of charge carriers increases sharply at elevated temperatures. With the increase in leakage current, the interfacial resistivity decreases.
5. Conclusions
This paper concerns the breakdown voltage and resistivity of the interface of SiR/XLPE considering thermal effects. Subsequently, the physicochemical properties of XLPE samples are characterized. The specific conclusions are as follows:
As for the effects of temperature on the electrical properties of the interface, as the temperature increases, the interface electrical performance of SiR/XLPE can be divided into three stages. At lower temperatures, the electrical properties of the interface slightly decrease due to the increase in electrical conductivity with increasing temperature. Later, as the XLPE material gradually approaches its melting point, the contact area of the SiR/XLPE interface increases and the interface gap decreases, resulting in an increase in the electrical performance of the double-layer dielectric interface; however, with the further increase in temperature, the number of carriers flowing through the interface increases, and the interface breakdown voltage and interface resistivity both show a downward trend. The influence of temperature on the electrical performance of the interface could provide a theoretical basis for the insulation structure and threshold design of cable accessories.
In the thermal action process, the physicochemical properties of XLPE can be divided into two stages. The earlier stage is the recrystallization process. The oxidation reaction could be restrained by the antioxidant. During the recrystallization stage, the crystallinity of XLPE increases significantly, where the macromolecular chains of XLPE are arranged more neatly. Thus, the electrical properties of the SiR/XLPE interface increase with the increasing time in this stage. The second stage is the oxidation reaction stage since the antioxidant has been completely consumed. The amorphous region within the material is severely damaged. The increase in time leads to an increase in small molecule products and an increase in the surface roughness of XLPE. Thus, the interfacial electrical properties decrease with the increasing time of thermal action. The results of long-term thermal action on the electric performance of the interface remind us to pay more attention to the changes in the cable interface under long-term thermal action, which is crucial for cable maintenance and condition assessment.