# Investigation on the Electrothermal Properties of Nanocomposite HDPE

Authors: Ramkumar R; Pugazhendhi Sugumaran C
Journal: Journal of Nanomaterials
 (2019)

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## Abstract

Currently, several deep-rooted researches have focused on the significance and application of polymers in electrical and mechanical fields. This is because of the benefits of polymers in its availability, recyclability, and flexibility in processing; economical and most importantly improvement in material property have been achieved by incorporating nanosized metal oxide (inorganic) additives in the polymer matrix. In this study, HDPE (High Density Polyethylene) is considered as base polymer and alumina as nanoadditive. Alumina (Al2O3) nanofillers are incorporated in HDPE as 1 wt.%, 3 wt.%, 5 wt.%, and 7 wt.% filler compositions. From the dielectric analysis, it has been inferred that HDPE with 3 wt.% nanoalumina achieved higher permittivity compared with other samples. Also, 5 wt.% composite samples has gained 18.46% improvement in inception voltage, 16.3% increase in the breakdown strength, and 94.47% enhanced thermal conductivity compared with pure HDPE.


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## Body

## 1. Introduction

Polymer dielectrics are nowadays widely used in electrical applications. The main objective of the experiments conducted was focused on creating new low cost polymeric composite material with better performance for electrical applications. Polymer dielectrics are mostly preferred based on its better electrical, thermal, and mechanical properties and for its flexibility while processing. Recently, most researches have acknowledged the necessity of incorporating the nanofillers in the polymer matrix to enhance the properties of dielectrics. The enhancement of the properties in dielectrics when nanofillers were incorporated in the polymer matrix has already been proved with many effective illustrations. Literature shows that the nanosized fillers have some unique properties like homogeneity in dispersion and distribution; it can establish better surface area of contact in the polymer matrix and has more interaction with host at a low level of loading. This feature is the major factor for the increased interaction zone, i.e., there is an increase in area between the filler and the polymer matrix, which has considerable impact on electrical insulation properties such as higher resistance towards partial discharge, treeing, and improvement in breakdown strength [1–3].The interaction zones are made of three layers, bounded layer, bound layer, and loose layer. The bounded layer is the first layer, which has the tight bonding with the inorganic nanofillers and the organic polymer matrix of few nm thickness. The second layer is the bound layer of several nanometer thickness, which interrelates the bounded layer and the nanoparticles. The third layer is the loose layer of several tens of nm thickness, which interacts with the second layer. There is another layer encompassing the third, an electronic double bond layer in which the columbic interaction of charges takes place. In this layer, charges are injected from the higher permittivity nanofillers into the polymer matrix (Gouy-Chapman diffusion layer), which induces the electronic polarizability and orientation of permanent dipoles. Many other factors have influenced on reduction in permittivity due to free volume and the higher energy surface contact of nanomaterial over the polymer matrix [4].This work consists of various processes such as selection of materials, methodology of sample preparation, and experiments conducted on exploring the electrical and thermal performance of the prepared samples. Based on polymer segmental motion, permittivity and thermal stability of HDPE (High Density Polyethylene) have been chosen as base polymer and alumina (Al2O3) as nanofillers. It had been evidently proven that nanosized alumina fillers offered high resistance for partial discharges and better dielectric and mechanical properties, while microsized alumina had been considered upright filler for enhancement of thermal conductivity [5].


## 2. Experimental Work

In this work, composition of FF00851 grade HDPE with MFI 9 g/10 min from Haldia Corporation and nanosized alumina filler ofsize<100 nm from SRL Chemicals were considered for sample preparation. The dielectric parameters such as permittivity, tan δ, and parallel resistance Rp have been measured using Electrochemical Impedance Spectroscopy WAYNE KERR 6500B. The value of AC breakdown strength was determined in AC breakdown setup as per standard IEC 60243-1. TGA (Thermogravimetric analysis) had been carried out in NETZSCH STA 449 F3 Jupiter, thermal analyzer (TA). The partial discharges (PD) for the prepared samples were examined using the PD setup as per standard IEC 60270, 2003.


### 2.1. Sample Preparation

The various processes involved in the sample preparation are illustrated in Figure1. The handmade mechanical extrusion technology is opted for sample preparation, which is of environment friendly nature. The temperatures of heaters in the screw mixture barrel are maintained at 160°C, 180°C, 200°C, and 220°C [6]. The extruded materials are molded into a die with injection molding machine.Figure 1
Flow illustration for the melt blending process of HDPE-alumina nanocomposite.Table1 shows the composition of HDPE and nanoalumina for a 100 g samples at different wt.%. Samples of 25 mm diameter and 3 mm thickness are prepared for dielectric measurements, and another sample of 80 mm diameter with 1.5 mm thickness is prepared for AC breakdown (IEC 60243-1) and PD measurement.Table 1
Weight composition of different samples.
wt.% composition of alumina with HDPE
HDPE in grams
Nanoalumina in grams
0
100
0
1
99.009
0.9900
3
97.0873
0.9708
5
95.2380
4.7619
7
93.4579
6.5420


### 2.2. Scanning Electron Microscopy

The morphology of HDPE/alumina nanocomposites for different weight composition was analyzed. The homogeneous dispersion and distribution of alumina nanoparticles in HDPE at 1 wt.%, 3 wt.%, 5 wt.%, and 7 wt.%, respectively, are presented by SEM image from Figures2(a)–2(d), the alumina nanoparticles are uniformly distributed in the HDPE matrix. The particle sizes are at most around 100 nm. Few agglomerates can be also observed at 7 wt.% samples [7].Figure 2
(a)–(d) SEM image of HDPE-alumina nanocomposite: (a) @ 1 wt.%, (b) @ 3 wt.%, (c) @ 5 wt.%, and (d) @ 7 wt.%.
(a)
(b)
(c)
(d)


### 2.3. Partial Discharge

The PD resistance measurement setup as shown in Figure3 was created as per IEC 60270 with a background noise of 4 pC inside the shielding chamber. The measured value of PD inception and extinction voltages was recorded with the help of DSO Agilent 54621A and was tabulated in Table 2.Figure 3
Partial discharge setup.Table 2
Partial discharge characteristics.
Sample
Inception voltage(kV/mm)
Extinction voltage(kV/mm)
Pure HDPE
18.97
13.52
HDPE with 1 wt.% alumina
19.34
13.84
HDPE with 3 wt.% alumina
20.32
14.074
HDPE with 5 wt.% alumina
22.473
18.36
HDPE with 7 wt.% alumina
21.542
17.615It has been observed that the addition of nanofiller in the base polymer increases the PD resistance of the samples. There is likely to be strong bonding between the homogeneously dispersed alumina nanoparticles and the HDPE polymer which offers higher resistance to the stress on applying electric field, as a result the PD resistance of the composite increases. It has been noticed that for higher wt.% of nanoalumina added samples, the space in the interfacial zone increases thus reducing the PD resistance of the samples [3, 8–10]. The maximum inception and extinction voltages observed for 5 wt.% samples with a rise of 18.46% and 35.79%, respectively, in comparison with pure HDPE samples.


### 2.4. AC Breakdown Strength

AC breakdown strength was determined for the prepared samples of HDPE along with 1, 3, 5, and 7 wt.% nanoalumina at power frequencies (50-60) Hz with reference to IEC 60243-1. An average of 10 samples from each composition was tested, and the mean value had been considered for the analysis. The test specimen was immersed in the insulating liquid medium with higher dielectric strength in order to avoid the surface flashover and gliding discharges at the edges [11].The values of the breakdown strength for different samples obtained were listed in Table3. It was observed that 5 wt.% composition of alumina with HDPE has attained 16.3% increased breakdown strength compared with pure HDPE.Table 3
AC breakdown strength (BDV).
Sample
AC BDV (kV/mm)
% increase
Pure HDPE
28.18
—
HDPE with 1 wt.% alumina
28.56
1.34
HDPE with 3 wt.% alumina
29.32
4.04
HDPE with 5 wt.% alumina
32.79
16.3
HDPE with 7 wt.% alumina
30.44
8.01The characteristics on the enhancement of breakdown strength of the samples based on the effect of alumina nanofillers and the diminution at higher wt.% concentrations of nanofillers are illustrated as follows: (a) nanoparticles act as a scattering electron source, which avoid the formation of a spheroid mass of crystals and macroscopic boundaries. Nanoparticles are high resistance towards PD. (b) There will be a large amount of charge traps at the interfacial region, which decreases the carrier charge mobility. (c) At higher wt.%, agglomeration of nanoparticles takes place which leads to creation of large void defects around it in the polymer matrix. (d) The higher permittivity agglomerated nanoparticles alter an electric field and reduce the space between nanoparticles, which create a conductive path by enhancing the tunneling current between nanofillers. Figure4 represents the mean and error bar of breakdown voltage (BDV) and Partial Discharge Inception Voltage (PDIV). It can be clearly observed on the BDV that the error bars for each samples does not overlap on each other; thus, the error bars are not different for each samples, but for PDIV, the error bars for the 3 wt.% sample show minimal value. These results also indicate that the BD occurs after the occurrence of PD. Further, error bars for AC breakdown strength clearly show that HDPE with 5 wt.% alumina has the highest mean with good breakdown strength.Figure 4
Error bar representing breakdown voltage (BDV) and Partial Discharge Inception Voltage (PDIV).


### 2.5. Dielectric Constant and Loss Factor

The dielectric parameters had been recorded for all composition of samples at 30°C, 60°C, 90°C, and 120°C temperatures and as a function of frequency from 20 Hz – 1 MHz by using the Impedance Analyzer. The real part of dielectric constant (ε) had been calculated from the recorded value of capacitance, from
(1)ε=t∗CpA∗ε0,where Cp is the capacitance in farads, t is the thickness of the sample in meters (m), A is the surface area of samples in sq. meters, and ε0 is the absolute permittivity.Figures5(a)–5(d) represent the variation of dielectric constant (ε) with respect to frequency for the prepared nanocomposite samples at 30, 60, 90, and 120°C temperatures. It is observed that
(a)
permittivity usually increases, as a result of incorporating higher permittivity inorganic fillers in the polymer matrix, which initiates the interfacial polarization of the Maxwell-Wagner type. In addition, it was confirmed with the Lichtenecker-Rother logarithmic law of mixing
(b)
as the frequency of AC supply varied, initially theε is invariable, but at a certain critical frequency, the polarization of ions gets saturated or failed to settle; thus, the ε value dropped at lower to higher frequencies
(c)
there was no significant variation in the permittivity at lower temperatures; it was due to high density of the polyethylene matrix, which disturbed the charge mobility at lower temperatures. The increase in temperature on the samples from 30°C to 120°C was noticed; there was an increase in its free volume and thereby increasing the permittivity of the samples. The permittivity is inconsistent beyond 120°C. The collapsing state of the polymer matrix during initiation of melting process (the melting point of the HDPE used in the work was 130°C) causes the inconsistency inε [12]
(d)
it was observed that the 3 wt.% composite sample attained higher permittivity with more filler content, which increased the ionic and electronic polarization in addition to the free dipoles of HDPE. Further increase in the filler content (i.e., at 7 wt.%) led to more agglomeration of nanofillers forming clusters/microstructures, thus reduction in free volume and therefore will be few dipoles and ionic carriers available in the outer layer not free to move; thus, there is reduction in permittivityFigure 5
(a)–(d) Dielectric constant dependence on frequency: (a) @ 30°C, (b) @ 60°C, (c) @ 90°C, and (d) @ 120°C.
(a)
(b)
(c)
(d)Figures6(a)–6(d) represent the dielectric loss (tan δ) vs. the frequency plot for different weight compositions of nanoalumina on HDPE at different temperatures. It was resolved that
(a)
dissipation factor was influenced by the filler loadings and permittivity. In polymer nanocomposites, due to polarization effect, the dipoles in interfacial zones create clusters. There was a setback in orientation of dipoles, which reverses in each cycle on the application of alternating field. At higher frequencies, the dielectric loss might be increased with an effect of speedy reversal of field and orientation of dipoles would lag the field. The less time to orient dipoles among themselves led to a rise of dielectric loss in the higher frequency
(b)
at higher frequencies beyond 1 kHz, the tanδ had been observed to be less than unity. The tan δ increased with an increase in temperature and decreased at high frequencies
(c)
addition of alumina nanofillers had an influence over the dielectric loss of the composite. The higher wt.% of filler content increased the charge carrier which led to more amount of dielectric loss by charge transport mechanism. The 5 wt.% composition substantiated the tanδ loss at lower frequencies for its better performance [13, 14]
(d)
at higher temperatures and frequencies between 50 and 1000 Hz, there was a considerable increase of tanδ loss in the 5 wt.% composition. At high temperatures, the permittivity increase in free volume enhanced the ionic polarization, which caused more loss. Above than 1 kHz, there was no considerable difference in the tan δ loss even at different temperatures
(e)
the tanδ losses at 50 Hz frequency varied from 0.67 to 0.77 for 5 wt.% samples with temperatures between 50 and 110°C and reaches the maximum around 150 to 170 Hz for 30°C, 60°C, 90°C, and 120°CFigure 6
(a)–(d) Dissipation factor (tanδ) dependence on frequency (Hz): (a) @ 30°C, (b) @ 60°C, (c) @ 90°C, and (d) @ 120°C.
(a)
(b)
(c)
(d)


### 2.6. Volume Resistivity

The volume resistivityρ of pure HDPE and 1, 3, 5, and 7 wt.% nanoalumina samples was obtained from the measured value of parallel resistance (Rp).The calculated values are plotted against frequencies in Figure7. It was observed that at lower frequencies the 5 wt.% sample attains higher volume resistivity and was also noticed that the resistivity of all the samples linearly decreases up to 100 Hz. Further, 100 Hz -10 kHz the resistivity showed a constant value. The addition of alumina nanofillers reduced the volume resistivity, which averted the movement of charge carriers. On the application of AC fields, at lower frequencies, there was a considerable time for the charged particles, which had created weak links between nanofillers and HDPE segments. It resulted with a linear drop in volume resistivity when the conduction current at lower frequencies was increased. At higher frequencies, the movement of the charged particle is restricted, which in turn reduces the conduction current without any significant change in the volume resistivity [15].Figure 7
Resistivity (Ω·m) dependence on frequency (Hz).


### 2.7. Thermal Conductivity

The thermal conductivity was measured using UNITHERM (model 2022) with reference to ASTM E1530. The sample was placed between two polished surfaces, the upper electrode was maintained at higher temperature and the lower electrode was calibrated with heat flow transducer at lower temperature. The heat flowed from the upper surface, establishing an axial temperature gradient in the stack for attaining thermal equilibrium state. The difference of temperature had been measured through the heat flow transducer.The thermal conductivity was calculated for the samples by considering the transducer output and sample size. The calculated thermal conductivity values for different samples are listed in Table4.Table 4
Thermal conductivity.
Sample
Thermal conductivity(W/m·K)
%increase
Pure HDPE
0.471
—
HDPE with 1 wt.% alumina
0.525
11.46
HDPE with 3 wt.% alumina
0.712
51.16
HDPE with 5 wt.% alumina
0.916
94.47
HDPE with 7 wt.% alumina
0.919
95.11Equation (2) represents the heat dissipated by the solid dielectrics on the application of AC fields,
(2)HD=CvdTdt+Λ.KgradT,where HD is the heat dissipated,Cv is the specific heat of the sample, T is the temperature of the sample, K is the thermal conductivity of the sample, and t is the time for heat dissipation. The higher thermal conductivity indicated the more heat dissipation. From Figure 6(d), it was ascertained that 3 wt.% and 5 wt.% samples accomplished the higher dissipation factor by having higher mobility of ions. From Table 4, it was seen that the higher thermal conductivity helps to attain the thermal equilibrium of sample, which supports to enhance the dielectric strength as shown in Table 3 with respect to the 5 wt.% sample (thermal BD).


### 2.8. Thermogravimetric Analysis

The TA Instrument TGA Q50 V20.13 Build 39 was used to record the change in weight of the samples with respect to temperature at the rate of rise of 20°C/minute in the nitrogen atmosphere (dynamic TGA). The thermogram was recorded from 40°C to 600°C. The results were analyzed for validating the purity, rate of reaction, activation energy, heat reaction, and identification of different composition of the samples [16].From the thermogram shown in Figure8, it was observed that the pure HDPE sample starts to decompose at 460°C. It was ascertained from the TGA that the pure sample exhausted at 520°C. The 1, 3, 5, and 7 samples had 4.14%, 4.93%, 6.99%, and 8.63% residues, respectively, recorded at 600°C. The 7 wt.% sample had higher amount of residue at 600°C due to higher thermal conductivity.Figure 8
TGA comparison of pure HDPE: 1 wt.%, 3 wt.%, 5 wt.%, and 7 wt.% samples.


## 2.1. Sample Preparation

The various processes involved in the sample preparation are illustrated in Figure1. The handmade mechanical extrusion technology is opted for sample preparation, which is of environment friendly nature. The temperatures of heaters in the screw mixture barrel are maintained at 160°C, 180°C, 200°C, and 220°C [6]. The extruded materials are molded into a die with injection molding machine.Figure 1
Flow illustration for the melt blending process of HDPE-alumina nanocomposite.Table1 shows the composition of HDPE and nanoalumina for a 100 g samples at different wt.%. Samples of 25 mm diameter and 3 mm thickness are prepared for dielectric measurements, and another sample of 80 mm diameter with 1.5 mm thickness is prepared for AC breakdown (IEC 60243-1) and PD measurement.Table 1
Weight composition of different samples.
wt.% composition of alumina with HDPE
HDPE in grams
Nanoalumina in grams
0
100
0
1
99.009
0.9900
3
97.0873
0.9708
5
95.2380
4.7619
7
93.4579
6.5420


## 2.2. Scanning Electron Microscopy

The morphology of HDPE/alumina nanocomposites for different weight composition was analyzed. The homogeneous dispersion and distribution of alumina nanoparticles in HDPE at 1 wt.%, 3 wt.%, 5 wt.%, and 7 wt.%, respectively, are presented by SEM image from Figures2(a)–2(d), the alumina nanoparticles are uniformly distributed in the HDPE matrix. The particle sizes are at most around 100 nm. Few agglomerates can be also observed at 7 wt.% samples [7].Figure 2
(a)–(d) SEM image of HDPE-alumina nanocomposite: (a) @ 1 wt.%, (b) @ 3 wt.%, (c) @ 5 wt.%, and (d) @ 7 wt.%.
(a)
(b)
(c)
(d)


## 2.3. Partial Discharge

The PD resistance measurement setup as shown in Figure3 was created as per IEC 60270 with a background noise of 4 pC inside the shielding chamber. The measured value of PD inception and extinction voltages was recorded with the help of DSO Agilent 54621A and was tabulated in Table 2.Figure 3
Partial discharge setup.Table 2
Partial discharge characteristics.
Sample
Inception voltage(kV/mm)
Extinction voltage(kV/mm)
Pure HDPE
18.97
13.52
HDPE with 1 wt.% alumina
19.34
13.84
HDPE with 3 wt.% alumina
20.32
14.074
HDPE with 5 wt.% alumina
22.473
18.36
HDPE with 7 wt.% alumina
21.542
17.615It has been observed that the addition of nanofiller in the base polymer increases the PD resistance of the samples. There is likely to be strong bonding between the homogeneously dispersed alumina nanoparticles and the HDPE polymer which offers higher resistance to the stress on applying electric field, as a result the PD resistance of the composite increases. It has been noticed that for higher wt.% of nanoalumina added samples, the space in the interfacial zone increases thus reducing the PD resistance of the samples [3, 8–10]. The maximum inception and extinction voltages observed for 5 wt.% samples with a rise of 18.46% and 35.79%, respectively, in comparison with pure HDPE samples.


## 2.4. AC Breakdown Strength

AC breakdown strength was determined for the prepared samples of HDPE along with 1, 3, 5, and 7 wt.% nanoalumina at power frequencies (50-60) Hz with reference to IEC 60243-1. An average of 10 samples from each composition was tested, and the mean value had been considered for the analysis. The test specimen was immersed in the insulating liquid medium with higher dielectric strength in order to avoid the surface flashover and gliding discharges at the edges [11].The values of the breakdown strength for different samples obtained were listed in Table3. It was observed that 5 wt.% composition of alumina with HDPE has attained 16.3% increased breakdown strength compared with pure HDPE.Table 3
AC breakdown strength (BDV).
Sample
AC BDV (kV/mm)
% increase
Pure HDPE
28.18
—
HDPE with 1 wt.% alumina
28.56
1.34
HDPE with 3 wt.% alumina
29.32
4.04
HDPE with 5 wt.% alumina
32.79
16.3
HDPE with 7 wt.% alumina
30.44
8.01The characteristics on the enhancement of breakdown strength of the samples based on the effect of alumina nanofillers and the diminution at higher wt.% concentrations of nanofillers are illustrated as follows: (a) nanoparticles act as a scattering electron source, which avoid the formation of a spheroid mass of crystals and macroscopic boundaries. Nanoparticles are high resistance towards PD. (b) There will be a large amount of charge traps at the interfacial region, which decreases the carrier charge mobility. (c) At higher wt.%, agglomeration of nanoparticles takes place which leads to creation of large void defects around it in the polymer matrix. (d) The higher permittivity agglomerated nanoparticles alter an electric field and reduce the space between nanoparticles, which create a conductive path by enhancing the tunneling current between nanofillers. Figure4 represents the mean and error bar of breakdown voltage (BDV) and Partial Discharge Inception Voltage (PDIV). It can be clearly observed on the BDV that the error bars for each samples does not overlap on each other; thus, the error bars are not different for each samples, but for PDIV, the error bars for the 3 wt.% sample show minimal value. These results also indicate that the BD occurs after the occurrence of PD. Further, error bars for AC breakdown strength clearly show that HDPE with 5 wt.% alumina has the highest mean with good breakdown strength.Figure 4
Error bar representing breakdown voltage (BDV) and Partial Discharge Inception Voltage (PDIV).


## 2.5. Dielectric Constant and Loss Factor

The dielectric parameters had been recorded for all composition of samples at 30°C, 60°C, 90°C, and 120°C temperatures and as a function of frequency from 20 Hz – 1 MHz by using the Impedance Analyzer. The real part of dielectric constant (ε) had been calculated from the recorded value of capacitance, from
(1)ε=t∗CpA∗ε0,where Cp is the capacitance in farads, t is the thickness of the sample in meters (m), A is the surface area of samples in sq. meters, and ε0 is the absolute permittivity.Figures5(a)–5(d) represent the variation of dielectric constant (ε) with respect to frequency for the prepared nanocomposite samples at 30, 60, 90, and 120°C temperatures. It is observed that
(a)
permittivity usually increases, as a result of incorporating higher permittivity inorganic fillers in the polymer matrix, which initiates the interfacial polarization of the Maxwell-Wagner type. In addition, it was confirmed with the Lichtenecker-Rother logarithmic law of mixing
(b)
as the frequency of AC supply varied, initially theε is invariable, but at a certain critical frequency, the polarization of ions gets saturated or failed to settle; thus, the ε value dropped at lower to higher frequencies
(c)
there was no significant variation in the permittivity at lower temperatures; it was due to high density of the polyethylene matrix, which disturbed the charge mobility at lower temperatures. The increase in temperature on the samples from 30°C to 120°C was noticed; there was an increase in its free volume and thereby increasing the permittivity of the samples. The permittivity is inconsistent beyond 120°C. The collapsing state of the polymer matrix during initiation of melting process (the melting point of the HDPE used in the work was 130°C) causes the inconsistency inε [12]
(d)
it was observed that the 3 wt.% composite sample attained higher permittivity with more filler content, which increased the ionic and electronic polarization in addition to the free dipoles of HDPE. Further increase in the filler content (i.e., at 7 wt.%) led to more agglomeration of nanofillers forming clusters/microstructures, thus reduction in free volume and therefore will be few dipoles and ionic carriers available in the outer layer not free to move; thus, there is reduction in permittivityFigure 5
(a)–(d) Dielectric constant dependence on frequency: (a) @ 30°C, (b) @ 60°C, (c) @ 90°C, and (d) @ 120°C.
(a)
(b)
(c)
(d)Figures6(a)–6(d) represent the dielectric loss (tan δ) vs. the frequency plot for different weight compositions of nanoalumina on HDPE at different temperatures. It was resolved that
(a)
dissipation factor was influenced by the filler loadings and permittivity. In polymer nanocomposites, due to polarization effect, the dipoles in interfacial zones create clusters. There was a setback in orientation of dipoles, which reverses in each cycle on the application of alternating field. At higher frequencies, the dielectric loss might be increased with an effect of speedy reversal of field and orientation of dipoles would lag the field. The less time to orient dipoles among themselves led to a rise of dielectric loss in the higher frequency
(b)
at higher frequencies beyond 1 kHz, the tanδ had been observed to be less than unity. The tan δ increased with an increase in temperature and decreased at high frequencies
(c)
addition of alumina nanofillers had an influence over the dielectric loss of the composite. The higher wt.% of filler content increased the charge carrier which led to more amount of dielectric loss by charge transport mechanism. The 5 wt.% composition substantiated the tanδ loss at lower frequencies for its better performance [13, 14]
(d)
at higher temperatures and frequencies between 50 and 1000 Hz, there was a considerable increase of tanδ loss in the 5 wt.% composition. At high temperatures, the permittivity increase in free volume enhanced the ionic polarization, which caused more loss. Above than 1 kHz, there was no considerable difference in the tan δ loss even at different temperatures
(e)
the tanδ losses at 50 Hz frequency varied from 0.67 to 0.77 for 5 wt.% samples with temperatures between 50 and 110°C and reaches the maximum around 150 to 170 Hz for 30°C, 60°C, 90°C, and 120°CFigure 6
(a)–(d) Dissipation factor (tanδ) dependence on frequency (Hz): (a) @ 30°C, (b) @ 60°C, (c) @ 90°C, and (d) @ 120°C.
(a)
(b)
(c)
(d)


## 2.6. Volume Resistivity

The volume resistivityρ of pure HDPE and 1, 3, 5, and 7 wt.% nanoalumina samples was obtained from the measured value of parallel resistance (Rp).The calculated values are plotted against frequencies in Figure7. It was observed that at lower frequencies the 5 wt.% sample attains higher volume resistivity and was also noticed that the resistivity of all the samples linearly decreases up to 100 Hz. Further, 100 Hz -10 kHz the resistivity showed a constant value. The addition of alumina nanofillers reduced the volume resistivity, which averted the movement of charge carriers. On the application of AC fields, at lower frequencies, there was a considerable time for the charged particles, which had created weak links between nanofillers and HDPE segments. It resulted with a linear drop in volume resistivity when the conduction current at lower frequencies was increased. At higher frequencies, the movement of the charged particle is restricted, which in turn reduces the conduction current without any significant change in the volume resistivity [15].Figure 7
Resistivity (Ω·m) dependence on frequency (Hz).


## 2.7. Thermal Conductivity

The thermal conductivity was measured using UNITHERM (model 2022) with reference to ASTM E1530. The sample was placed between two polished surfaces, the upper electrode was maintained at higher temperature and the lower electrode was calibrated with heat flow transducer at lower temperature. The heat flowed from the upper surface, establishing an axial temperature gradient in the stack for attaining thermal equilibrium state. The difference of temperature had been measured through the heat flow transducer.The thermal conductivity was calculated for the samples by considering the transducer output and sample size. The calculated thermal conductivity values for different samples are listed in Table4.Table 4
Thermal conductivity.
Sample
Thermal conductivity(W/m·K)
%increase
Pure HDPE
0.471
—
HDPE with 1 wt.% alumina
0.525
11.46
HDPE with 3 wt.% alumina
0.712
51.16
HDPE with 5 wt.% alumina
0.916
94.47
HDPE with 7 wt.% alumina
0.919
95.11Equation (2) represents the heat dissipated by the solid dielectrics on the application of AC fields,
(2)HD=CvdTdt+Λ.KgradT,where HD is the heat dissipated,Cv is the specific heat of the sample, T is the temperature of the sample, K is the thermal conductivity of the sample, and t is the time for heat dissipation. The higher thermal conductivity indicated the more heat dissipation. From Figure 6(d), it was ascertained that 3 wt.% and 5 wt.% samples accomplished the higher dissipation factor by having higher mobility of ions. From Table 4, it was seen that the higher thermal conductivity helps to attain the thermal equilibrium of sample, which supports to enhance the dielectric strength as shown in Table 3 with respect to the 5 wt.% sample (thermal BD).


## 2.8. Thermogravimetric Analysis

The TA Instrument TGA Q50 V20.13 Build 39 was used to record the change in weight of the samples with respect to temperature at the rate of rise of 20°C/minute in the nitrogen atmosphere (dynamic TGA). The thermogram was recorded from 40°C to 600°C. The results were analyzed for validating the purity, rate of reaction, activation energy, heat reaction, and identification of different composition of the samples [16].From the thermogram shown in Figure8, it was observed that the pure HDPE sample starts to decompose at 460°C. It was ascertained from the TGA that the pure sample exhausted at 520°C. The 1, 3, 5, and 7 samples had 4.14%, 4.93%, 6.99%, and 8.63% residues, respectively, recorded at 600°C. The 7 wt.% sample had higher amount of residue at 600°C due to higher thermal conductivity.Figure 8
TGA comparison of pure HDPE: 1 wt.%, 3 wt.%, 5 wt.%, and 7 wt.% samples.


## 3. Conclusion

This paper exhibits the detailed study on the electrical and thermal behaviour of the HDPE by the addition of alumina nanofillers. Summary of the observations made is listed as follows: the 5 wt.% HDPE/alumina composite had obtained 16% higher AC breakdown strength in comparison with pure HDPE sample. The 3 wt.% composition gained higher permittivity for 20 – 400 Hz at 30°,60°, 90°, and 120°C.From PD results, it has been proven that the addition of inorganic alumina nanofillers to HDPE significantly improved the PD characteristic. This has happened as a result of strong bonding between nanoparticles and the HDPE at the interfacial region.With the increased filler loading content, there was a weak link formation resulted in a decline in volume resistivity. The glass transition temperature of the 5 wt.% composition was observed as 121°C which was 23.4% higher than pure HDPE. Higher thermal conductivity of the specimen helped to attain the thermal equilibrium, which further enhanced the breakdown voltage.For insulation applications, the HDPE with 5 wt.% alumina was considered as it had improved the breakdown strength and thermal stability.



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*Source: 5947948-2019-04-28.xml*