polymers Article Electrical Characteristics of Polypropylene Mixed with Natural Nanoclay Huseyin R. Hiziroglu * and Iosif E. Shkolnik Department of Electrical & Computer Engineering, Kettering University, Flint, MI 48504, USA; shkolniki@comcast.net * Correspondence: hhizirog@kettering.edu; Tel.: +1-810-762-7962 Received: 20 July 2018; Accepted: 20 August 2018; Published: 24 August 2018 Abstract: Polypropylene has been used in radio-frequency capacitors and has also started to be employed in cables as insulation. The objective of this study was to evaluate the electrical properties of polypropylene filled with natural clay as a nano-material. Polypropylene samples having 0%, 2% and 6% natural clay by weight were exposed to 60-Hz sinusoidal voltages at two different rates of rise. The breakdown voltage of each sample was recorded at these different ramp rates. Also, the Root-mean-squared (rms) current was measured as the voltage was increased across the test samples. The important findings of this study were (a) the breakdown strength of the natural nanoclay-filled polypropylene was higher than the unfilled polypropylene, and the optimum concentration of nanoclay appeared to be 2% by weight; (b) the current density as a function of the electric-field intensity indicated a non-linear behavior with saturation, and the saturation onset took place at a higher electric-field intensity in nanoclay-filled polypropylene, wherein 2% nanoclay seemed to be the optimum concentration as well for the onset electric field of saturation. Keywords: breakdown; isotactic polypropylene; nanocomposites; natural nanoclay 1. Introduction Nano-particles have found a wide variety of applications in order to modify the properties of polymer dielectrics. Since the beginning of this millennium, studies into nanocomposites with polymer-based materials for electrical applications as dielectrics and insulators have been intensified considerably in order to better understand various phenomena in these materials so that their effective usage will be possible in numerous applications [1]. It is known that the addition of nano-particles to a polymer seems to enhance the overall properties of the composite [1]. In such a nanocomposite, interfaces between two phases, one being a nanoparticle and the other being the host polymer, play a significant role [2] in its properties. This is primarily due to the fact that the volume of the interfaces dominates the whole volume of the composite as the size of the nanoparticle decreases [2]. This effect could also substantially modify the overall dielectric characteristics of the composite material [2]. Thus, studies into polymer-based nanocomposites have been underway in order to use them in high-voltage cables as an insulating material [3]. At present, polymeric materials used in cables in high-voltage applications are primarily various versions of polyethylene (PE), with cross-linked polyethylene (XLPE) being one of the most widely used [4]. With the present technologies the most powerful extruded high-voltage cables with PE as an insulating material used in high-voltage, direct-current (HVDC) systems can handle up to 640 kV [3]. A polymeric nanocomposite based on PE filled with nanometric size metal-oxide has been introduced recently due to the lower charge mobility than that of pure PE as a potential candidate for HVDC cable insulation [3]. Also, a combination of PE and metal-oxide nano-particles seemed to be promising in ultra-high-voltage applications due to the interface role of the nanomaterial in Polymers 2018, 10, 942; doi:10.3390/polym10090942 www.mdpi.com/journal/polymers Polymers 2018, 10, 942 2 of 11 the host material [3]. Therefore, it is a fact that polymer-based nano-dielectrics have shown not only enhanced electrical properties but also indicated better mechanical and thermal properties than the plain polymeric material. Also, various studies have revealed that nanocomposites with polymer dielectrics have exhibited significant improvements in optical and physico-chemical properties [5]. Along with PE and other polymers, polypropylene (PP) has found a place in electrical systems as a dielectric [6]. The isotactic form of PP has a melting temperature of 481 K with high crystallinity that leads to having high stiffness and tensile strength [7]. Although isotactic PP has high crystallinity it is considered to be a semicrystalline material since crystallization of PP is a random process influenced by the probability of a molecule’s ability to develop a crystalline structure with adjacent molecules [7]. Therefore, crystalline phase, amorphous phase and crystalline/amorphous interface have importance in the properties of charge transfer in PP similar to the phenomena taking place in PE as described in [3,8]. Due to these highly desirable properties, PP films are used as the dielectric medium in high-performance pulse and low-loss RF capacitors [9,10]. Also, PP has been employed as an insulating medium in power cables [11] primarily due to its relatively high melting temperature that might possibly facilitate higher current-carrying capacity [12] in addition to other such microstructure properties as crystallinity, amorphous phase as well as crystalline/amorphous interface [3]. Moreover, it should be noted that an appropriate process such as extrusion of cables should be selected in order to optimize the mechanical and electrical strengths since they could be influenced by the crystallinity and crystal thickness in the material [3,13,14]. Different electrical properties of PP have been investigated in various studies [9–11,15–17]. One of the studies done with PP was to evaluate its dielectric spectrum at low voltages [18,19]. Another work was the experimental investigation of the space charge distribution in PP and its nanocomposites [20]. In fact, improvements have been observed in the space-charge distribution when PP was loaded with natural clay. Consequently, it is hypothesized that the breakdown behavior of PP could also improve when filled with nano-material. However, there is very little information on the electrical breakdown [21] and the current density in PP mixtures with nano-particles and it needs to be further studied. Therefore, the objectives of this study are to evaluate and compare; (a) the breakdown strength and (b) the variation of current-density as a function of applied electric-field intensity of PP-based nanocomposite films with various contents of nano-size natural clay in PP. It is expected that the initial data from this work could be beneficial to better understand PP loaded with 2 and 6 wt % natural clay so that they can be used with enhanced properties in different applications in the electrical industry. 2. Materials and Methods 2.1. Materials The polyolefin used in this study is isotactic PP, and the natural nanoclay is montmorillonite, [All.67 Mg0.33 (Na0.33 )]Si4 Ol0 (OH)2 . Since PP is a hydrophobic material and purified natural clay is hydrophilic, they are immiscible thermodynamically [22]. Consequently, natural nanoclay needs to be intercalated and later in the process compatibilized [22]. After the intercalation process of montmorillonite with dimethyl di(hydrogenated tallow) ammonium chloride, also known by its trade name as Cloisite® 20A [22,23], the natural nanoclay turned into hydrophobic from hydrophilic. In the next step, compatibilization was done using Polybond® 3150 with a composition of PP-maleic anhydride modifier (PP-MA) [22]. Also included in the batch was Irganox® B 225, an antioxidant [22], with a blend of 50% tris(2,4-ditert-butylphenyl)phosphite and 50% pentaerythritol tetrakis[3-[3,5-di-tert-butyl-4-hydroxyphenyl]propionate], in order to avoid the degradation of the nanocomposite due to oxidation, which is very important especially when used as cable insulation [3]. After being pelletized, the nanocomposite was brought to 135 µm by a film blowing technique at 180 ◦ C. Then, the films were rolled at 115 ◦ C. Further details of this material preparation were presented in a paper from National Research Council of Canada [22], the institution that prepared and supplied the samples for this study. In this experimental study, three sets of samples were used. Sample 1 was Polymers 2018, 10, 942 Polymers 2018, 10, x FOR PEER REVIEW 3 of 11 3 of 11 trade name of Pro-fax HL-451H from Basell the control sample. Its composition isotactic PP PPwith withthethe trade name of Pro‐fax HL‐451H fromasBasell as the control sample. Its was 87 wt % PP, 0.2 wt % antioxidants and 12.8 wt % compatibilizer. Sample 2 was a nanocomposite composition was 87 wt % PP, 0.2 wt % antioxidants and 12.8 wt % compatibilizer. Sample 2 was a with a composition ofa85.3 wt % PP, 0.2 % wt antioxidants, 12 wt % compatibilizer and%2 compatibilizer wt % nanoclay. nanocomposite with composition of wt 85.3 % PP, 0.2 wt % antioxidants, 12 wt Finally, 3 was Finally, also a nanocomposite having 81.8 wt % PP, 0.2 wt %81.8 antioxidants, 12 wt wt % % and 2 wtSample % nanoclay. Sample 3 was also a nanocomposite having wt % PP, 0.2 compatibilizer and 6 wt % nanoclay. antioxidants, 12 wt % compatibilizer and 6 wt % nanoclay. Each nanocomposite nanocomposite sample sample had a thickness of 135 µm 10%. Before Before being Each μm with with aa variation variation of of ± ±10%. situated between between two two stainless‐steel stainless-steel electrodes, electrodes, the the thickness thickness of of each each sample sample was was recorded recorded using using a situated electrode had had a circular flat surface with a diameter of 33 mm and rounded edges micrometer. Each electrode non-uniformity. The electrode‐film electrode-film assembly was immersed into in order to minimize electric-field electric‐field non‐uniformity. highly refined transformer oil in a stainless-steel test cell. stainless‐steel 2.2. Methods Methods 2.2. Figure 11 shows shows the the experimental experimentaltest testapparatus apparatusthat thatconsisted consistedofofa astainless‐steel stainless-steeltest test cell and Figure cell and a a high-voltage transformer with a model number of TEO 100/10 from Messwandler Bau, Germany, high‐voltage transformer with a model number of TEO 100/10 from Messwandler Bau, Germany, along with with auxiliary auxiliary elements elements in in order order to along to make make the the measurements measurements possible. possible. Because the thickness of the test sample is much smaller than diameter of electrodes, the electrodes, Because the thickness of the test sample is much smaller than thethe diameter of the the the electric-field distribution in the sample can consideredasasalmost almostuniform. uniform.Also, Also,in inorder order to to electric‐field distribution in the testtest sample can bebe considered avoid the possibility of breakdown in air around the electrode edges, the assembly of the electrodes avoid the possibility of breakdown in air around the electrode edges, the assembly of the electrodes and the the test test sample sample were were immersed immersed in in highly highly refined and refined transformer transformer oil oil filling filling the the test test cell. cell. Figure 1. Principle circuit schematic of the experimental setup. Figure 1. Principle circuit schematic of the experimental setup. The rating of the high‐voltage test transformer was 220/100,000 V (rms) with output power of 5 rating of the high-voltage test transformer was 220/100,000 V (rms) with output power of kVA The at 60‐Hz. 5 kVA 60-Hz. voltage divider CM from Messwandler Bau, Germany, was incorporated in order A at capacitive A capacitive voltage divider CM Messwandler Bau, Germany, was1.incorporated inof order to measure the applied rms voltage tofrom the test sample as indicated in Figure The accuracy the to measure the applied rms voltage to the test sample as indicated in Figure 1. The accuracy of the voltmeter (34405A, Agilent Technologies, Santa Clara, CA, USA) and connected to the low‐voltage voltmeter (34405A, Agilent Technologies, Santa Clara, CA, USA) connected to the low-voltage arm arm of the voltage divider was better than 1%. A 1‐kΩ precision resistor with a tolerance of ± of the voltage dividerbetween was better 1%. A 1-kΩ precision with as a tolerance ± 0.01% was 0.01%was connected thethan low‐voltage electrode andresistor the ground shown inofFigure 1 since connected between electrode and the ground as shown in Figure 1 since the rms current the rms current in the thelow-voltage circuit is directly proportional to the rms voltage across 1‐kΩ resistor. A in the circuit is directly proportional to the rms voltage across 1-kΩ resistor. A voltmeter (34401A, voltmeter (34401A, Agilent Technologies, Santa Clara, CA, USA) having an acV accuracy of less than Agilent Technologies, Clara, CA, USA) having an acV accuracy of less than 0.1% was employed 0.1% was employed toSanta measure the rms voltage across the 1‐kΩ resistor The applied voltage across to measure the rms voltage across the 1-kΩ resistor. The applied voltage across the test sample was the test sample was a 60‐Hz sinusoidal waveform and was raised from zero volt up to the voltage at a 60-Hz sinusoidal waveform and was raised from zero volt up to the voltage at which the failure which the failure occurred in the sample. While increasing the voltage at a rate of rise of 90 V/s, occurred in the voltage at a voltage rate of rise 90 V/s, typically 15up to 20 typically 15the to sample. 20 data While pointsincreasing were recorded for the andof current from zero to data the points were recorded for the voltage and current from zero up to the breakdown voltage. From the breakdown voltage. From the experimental results, electric‐field intensity and the current density experimental results, electric-field intensity and the current density were calculated. In order to verify were calculated. In order to verify the reproducibility of the experimental results experiments were the reproducibility of the experimental results experiments performedMoreover, on 5 different with performed on 5 different samples with the same amountwere of nanofiller. thesamples breakdown voltages were also recorded with a voltage rate of rise of 1050 V/s for assessing if there were Polymers 2018, 10, FORPEER PEERREVIEW REVIEW Polymers FOR Polymers2018, 2018,10, 10,xx942 11 44of 11 4ofof 11 significant changes changes in in the the breakdown breakdown voltages. voltages. These These breakdown breakdown tests tests were were also also performed performed on on 55 significant Polymers 2018, 10, x FOR PEER REVIEW 11 different samples with the same nanofillercontent. content. different samples with the same nanofiller the same amount of nanofiller. Moreover, the breakdown voltages were also recorded with4aofvoltage rate of rise of 1050 V/s for assessing if there were significant changes in the breakdown voltages. significant changes in the breakdown voltages. These breakdown tests were also performed on 5 Results 3.3.These Results breakdown tests were also performed on 5 different samples with the same nanofiller content. different samples with the same nanofiller content. 3. Results 3.1. BreakdownStrength Strength 3.1. Breakdown 3. Results Sincethe theelectric electric fieldhas hasalmost almostaauniform uniformdistribution distributionin inthe thesamples, samples,the thebreakdown breakdownstrength strength field 3.1.Since Breakdown Strength Breakdown Strength canbe be3.1. calculated as: can calculated as: SinceSince the electric field has almost distributionininthe the samples, breakdown strength the electric field has almostaauniform uniform distribution samples, thethe breakdown strength E V /d (1) E bb==V bb /d (1) can be calculated as: as: can be calculated Ethe =V (1) bthe b /d whereEEbbisisthe thebreakdown breakdownstrength, strength,VVbbisis breakdown voltageand andddisisthe thethickness thicknessof ofthe the where breakdown voltage Eb = Vb/d (1) sample. Figure exhibitsthe thestrength, trendof ofthe meanbreakdown breakdownvoltage strengths ofdthe the PPand andits itsmixtures mixtures with sample. exhibits trend mean breakdown strengths PP with where EFigure is the22breakdown Vthe andof is the of the sample. b where b is the Eb is the breakdown strength, Vb is the breakdown voltage and d is thickness the thickness of the different concentrations of natural nanoclay. different concentrations of natural nanoclay. Figure 2 exhibits the trend of the mean breakdown strengths of the PP and its mixtures with different sample. Figure 2 exhibits the trend of the mean breakdown strengths of the PP and its mixtures with concentrations of natural nanoclay. different concentrations of natural nanoclay. 135 135 135 130 Breakdown strength (kV/mm) Breakdown Breakdown strength strength (kV/mm) (kV/mm) 130 130 125 125 125 120 120 115 115 110 110 120 115 110 105 105 105 100 100 100 00 0 22 2 444 66 8 88 Concentration of nanoclayby by weight )) ) Concentration of nanoclay byweight weight(% (% Concentration of nanoclay (% Figure 2. Breakdown strength vs.the concentration of natural clay inin and its nanocomposites with with Figure Breakdown strength vs.the concentration naturalclay clay PP and its nanocomposites Figure Breakdown strength vs. thethe concentration ofofnatural natural clay inPP PP and its nanocomposites with Figure 2.2.2.Breakdown strength vs. concentration of in PP and its nanocomposites with voltage rate of rise being parameter [21]. 90 V/s; 1050 V/s. voltagerate rateof ofrise risebeing beingparameter parameter[21]. [21]. V/s; 1050 voltage rate of rise being parameter [21]. 90V/s; V/s; 1050V/s. V/s. voltage 90 1050 V/s. As can be seen from Figure 2, the mean breakdown strength of five PP samples was evaluated As can be seen from Figure 2,the themean meanof breakdown strength offive fivePP PPsamples samples was evaluated As seen 2, breakdown strength of five PP samples was evaluated As canbe be seenfrom fromaFigure Figure 2, the mean breakdown of evaluated as ascan 105.5 kV/mm with standard deviation 5.7 kV/mm strength at 90 V/s voltage rate of rise. was as 105.5 kV/mm with a standard deviation of 5.7 kV/mm at 90 V/s voltage rate of rise. as 105.5 kV/mm with a standard deviation of 5.7 kV/mm at 90 V/s voltage rate of rise. In Figure the bars on the dataofpoints indicateatthe errorrate of the mean that was 105.5 kV/mm with2,a standard deviation 5.7 kV/mm 90 standard V/s voltage of rise. In Figure the bars on the data points indicate the standard error of the mean that was In Figure the bars data points indicate the of mean that determined 2.55 kV/mm. The mean breakdown strength of standard nanocomposite with athe concentration ofwas In Figure 2, 2,2,as the bars onon thethe data points indicate the standard error oferror the mean that was determined 2 wt %as clay, however, wasbreakdown 109.2 kV/mm a of standard deviation of 5.8aakV/mm and determined asnatural 2.55The kV/mm. The mean breakdown strength ofnanocomposite nanocomposite with concentration of% determined 2.55 kV/mm. The mean strength concentration as 2.55 kV/mm. mean breakdown strength ofwith nanocomposite with a with concentration of 2awtof standard error ofhowever, 2.6 kV/mmwas as shown in Figure with 2.with There is an improvement ofof about 3.5% on the wt % % natural clay, however, was 109.2 kV/mm a standard deviation of 5.8 kV/mm and 22natural wt natural clay, 109.2 kV/mm a standard deviation 5.8 kV/mm and aa clay, however, was 109.2 kV/mm with a standard deviation of 5.8 kV/mm and a standard breakdown strength of nanocomposite with 2 wt % of natural clay concentration with respect to the standard error of2.6 2.6kV/mm kV/mm as shown in Figureis There animprovement improvement ofabout about 3.5% onthe the standard error of 2.2.an There isisan of 3.5% on error of 2.6 kV/mm as shownas inshown Figurein 2. Figure There improvement of about 3.5% on the breakdown controlstrength PP. The mean breakdown strength of PP% loaded with 6clay wt % natural clay was 110.5 kV/mm breakdown strength of nanocomposite with 2 wt % of natural clay concentration with respect to breakdown of nanocomposite with 2 wt of natural concentration with respect to the strength of nanocomposite with 2 wt % of natural clay concentration with respect to the controlthe PP. with a standard deviation of 2.4 kV/mm and a standard error of 1.06 kV/mm. The improvement in control PP. The meanbreakdown breakdown strength ofPP PP loaded with wt% %natural natural clay was 110.5kV/mm kV/mm control PP. The mean strength of loaded with 66wt clay was 110.5 The mean breakdown strength of PP loaded with 6 wt % natural clay was 110.5 kV/mm with a the breakdown strength was 4.7% with respect to the control PP, while the improvement was only with a standard deviation of 2.4 kV/mm and a standard error of 1.06 kV/mm. The improvement in with a standard deviation of 2.4 kV/mm and a standard error of 1.06 kV/mm. The improvement in standard of 2.4tokV/mm and a standard of 1.06 kV/mm. aboutdeviation 1% with respect the nanocomposite with 2%error concentration of natural The clay. improvement in the the breakdown strength was 4.7% with respect tothe thea control control PP,while while the improvement was only the breakdown strength was 4.7% with respect to PP, the was breakdown strength was 4.7% with respect to the control PP,speed while the only about Experimental procedures were the same when ramp of 1050improvement V/simprovement was used was as with theonly about 1% with respect to the nanocomposite with 2% concentration of natural clay. about 1% with tonanocomposite the nanocomposite withconcentration 2%strength concentration of samples. natural 90 V/s raterespect oftorise order to assess the breakdown ofof thenatural test At this ramp speed, 1% with respect thein with 2% clay. clay. Experimental procedures were the same when a ramp speed of 1050 V/s was used as with the Experimental procedures were the same when a ramp speed of 1050 V/s as the breakdown strength of 5 samples is also presented in Figure 2 with different nanoclay Experimental procedures were the same when a ramp speed of 1050 V/swas wasused usedcontents aswith withthe the in PP. 90 V/s rate of rise in order to assess the breakdown strength of the test samples. At this ramp speed, 90 V/s rate of rise in order to assess the breakdown strength of the test samples. At this ramp speed, 90 V/s rate of rise in order to assess the breakdown strength of the test samples. At this ramp speed, Figurestrength 2 revealsof that the controlisisPP haspresented the smallestin breakdown strength as compared to the PP‐ the breakdown strength of555samples samples also presented Figure with different nanoclay contents the samples also Figure 22with different nanoclay contents thebreakdown breakdown strength of is also presented in in Figure 2 with different nanoclay contents in PP. based composites. The mean value of the breakdown strength of the control PP is 127 kV/mm. The inPP. PP.Figure 2 reveals that the control PP has the smallest breakdown strength as compared to the in standard deviation and the standard error are,smallest as indicated in Figure strength 2 with error bars, foundto tothe be PP‐ Figure reveals that the control PPhas has the smallest breakdown ascompared compared to the PP‐ Figure 22reveals that the control PP the breakdown as PP-based composites. The mean value of the breakdown strengthstrength of the control PP is 127 kV/mm. 3.5 and 1.5 kV/mm, respectively. The mean breakdown strength of PP‐based nanocomposite loaded based composites.The Themean meanthe valueof ofthe theerror breakdown strengthof ofFigure thecontrol control PP 127kV/mm. kV/mm. The based composites. value breakdown strength the PP isis127 The standard are, indicated with error found The to be with 2 wtdeviation % natural and nanoclaystandard is determined as 132askV/mm. Forin this mean2value 1.7 andbars, 0.8 kV/mm standard deviation and the standard error are, as indicated in Figure 2 with error bars, found to be standard deviation and the standard error are, as indicated in Figure 2 with error bars, found to be 3.5 and 1.5 kV/mm, respectively. The mean breakdown strength of PP-based nanocomposite loaded 3.5 and 1.5kV/mm, kV/mm, respectively. Themean meanbreakdown breakdown strength of PP‐based nanocomposite loaded 3.5 and strength PP‐based nanocomposite with 2 1.5 wt % naturalrespectively. nanoclay is The determined as 132 kV/mm. Forof this mean value 1.7 and 0.8 loaded kV/mm with22wt wt% %natural naturalnanoclay nanoclayisisdetermined determinedas as132 132kV/mm. kV/mm.For Forthis thismean meanvalue value1.7 1.7and and0.8 0.8kV/mm kV/mm with Polymers 2018, 10, 942 5 of 11 are, respectively, the standard deviation and the standard error. The PP nanocomposite with 6 wt % nanoclay content, however, has a mean breakdown strength of 133 kV/mm. The standard deviation and standard error, for this case, are determined as 4.7 and 2.1 kV/mm, respectively. At Polymers a higher ramp-speed of 1050 V/s, nanocomposite with 2 wt % nanoclay content indicated about 2018, 10, x FOR PEER REVIEW 5 of 11 3.9% improvement on the breakdown strength as compared to control PP that has no natural clay content. are, respectively, the standard deviation and the standard error. The PP with 6the wt % The increase in breakdown strength, however, was not, once again, asnanocomposite substantial when nanoclay nanoclay content, however, has a mean breakdown strength of 133 kV/mm. The standard deviation content was increased from 2 to 6 wt %. When compared, the variations of the breakdown strengths and standard error, for this case, are determined as 4.7 and 2.1 kV/mm, respectively. as a function of the natural clay concentration in PP at two different rates of rise of the applied voltage, At a higher ramp‐speed of 1050 V/s, nanocomposite with 2 wt % nanoclay content indicated in Figure 2, it3.9% is apparent that the breakdown strength when the ramp speed about improvement on the breakdown strengthincreases as compared to control PP that has is noincreased natural from 90 to 1050 V/s. The data presented in Figure 2 have a confidence level of 95% on the error bars. clay content. The increase in breakdown strength, however, was not, once again, as substantial when the nanoclay content was increased from 2 to 6 wt %. When compared, the variations of the 3.2. Characteristics on the Variation of Current Densityclay as aconcentration Function of Electric-Field Intensity breakdown strengths as a function of the natural in PP at two different rates of rise of the applied voltage, in Figure 2, it is apparent that the breakdown strength increases when the The current-density vs. electric-field intensity characteristics of PP and its nanocomposites with ramp speed is increased from 90 to 1050 V/s. The data presented in Figure 2 have a confidence level natural ofclay within the scope of this study. In this context, current density 95%were on thealso error evaluated bars. essentially corresponds to the applied current injected to the sample. Due to the nature of dielectrics, Characteristics on the Variation of Current Density as a Function of Electric‐Field Intensity applied3.2. current can be modelled with two components under sinusoidal steady-state. These currents are the conduction current due to the transport ofcharacteristics charge, andofthe currentwith due to the The current‐density vs. electric‐field intensity PPdisplacement and its nanocomposites natural clay were also evaluated within with the scope of this In the this material. context, current density rate-of-the-change of electric-flux density respect to study. time in Using a Tektronix essentially to the applied current injected to the sample. Due toleads the nature of dielectrics, oscilloscope (TBScorresponds 1052B, Tektronix, Beaverton, OR, USA) the current the applied voltage by applied current can be modelled with two components under sinusoidal steady‐state. These currents 1.5359 rad at 60-Hz. Because this angle is close to π/2 rad, which is for perfect dielectric, it is are the conduction current due to the transport of charge, and the displacement current due to the apparent that the conduction current is insignificant compared to theUsing displacement rate‐of‐the‐change of electric‐flux density with respect toastime in the material. a Tektronixcurrent. Thus, the conduction current at 60-Hz is neglected and the measured current is oscilloscope (TBS 1052B, Tektronix, Beaverton, OR, USA) the current leads the applied considered voltage by to be 1.5359 radthe at 60‐Hz. Because this angle isIn close to π/2 which of is for perfect dielectric, it isintroduced apparent approximately displacement current. fact, therad, amount error in the current with that the conduction current is insignificant as compared the displacement Thus, the this approximation was calculated ±0.061%. Therefore, thetocurrent density iscurrent. primarily governed by conduction current at 60‐Hz is neglected and the measured current is considered to be approximately the permittivity of the material under consideration. the displacement current. In fact, the amount of error in the current introduced with this approximation was calculated ±0.061%. Therefore, the current density is primarily governed by the J = I/A permittivity of the material under consideration. (2) J =the I/A applied current to the material and (2) A is the Here, J is the current density (A/m2 ), I is 2 2), I is the applied J ismaterial the current density (A/m current the material A is 3 thepresents surface areaHere, of the effectively sandwiched between thetoelectrodes (m(A)). and Figure 2). Figure 3 presents the surface area of the material effectively sandwiched between the electrodes (m the current-density vs. applied electric-field intensity for the plain PP as a control sample. The graph current‐density vs. applied electric‐field intensity for the plain PP as a control sample. The graph in in Figure 3 points out that there is a steep linear increase in current density at lower electric fields. Figure 3 points out that there is a steep linear increase in current density at lower electric fields. Although the current density continues to increase above the applied electric-field intensity of about Although the current density continues to increase above the applied electric‐field intensity of about 30 kV/mm, this increase is no longer asititwas was below 30 kV/mm. Therefore, 30 kV/mm, this increase is no longer as as steep steep as below 30 kV/mm. Therefore, the J vs. Ethe J vs. E characteristic is non-linear, with forthe thecontrol control characteristic is non‐linear, withsaturation saturation for PP.PP. 0.55 0.5 Current density (μA/mm2) 0.45 0.4 0.35 0.3 0.25 0.2 0.15 0.1 0.05 0 0 10 20 30 40 50 60 70 Electric field intensity (kV/mm) 80 90 100 110 Figure 3. Variation of current density with electric‐field intensity in unfilled PP. Figure 3. Variation of current density with electric-field intensity in unfilled PP. Polymers 2018, 10, 942 6 of 11 Polymers 2018,Maxwell’s 10, x FOR PEER REVIEW From equations, 6 ofthe 11 the displacement current density is directly proportional to electric-flux density in frequency domain as: From Maxwell’s equations, the displacement current density is directly proportional to the electric‐flux density in frequency domain as: J = ωD (3) J = D (3) where ω is the angular frequency (rad/s) and D is the electric flux density vector (C/m2 ). 2). where is due the angular frequency (rad/s) and D the electric flux density vector Also, to the constitutive properties ofisdielectric materials, electric flux(C/m density is directly Also, duepermittivity to the constitutive properties ofwith dielectric materials, electric flux density related to the of the medium along the applied electric-field intensity as: is directly related to the permittivity of the medium along with the applied electric‐field intensity as: D = εE (4) D = εE (4) Here, E E is the applied electric-field electric‐field intensity intensity(V/m) (V/m) and ε is the permittivity of the medium medium (F/m), (F/m), which can also be expressed as: as: ε = ε o (1 + χe ) (5) (5) 1 −12 F/m being the free-space permittivity and χ being the electric susceptibility with εo = 8.85 × 10−12 e with εo = 8.85 × 10 F/m being the free‐space permittivity and being the electric susceptibility that is proportional to the polarization vector, that is proportional to the polarization vector, P = ε o χe E (6) (6) of of the the material material [24]. [24]. If If the the material material is is polarizable polarizable with with electric electric field, field, the the permittivity permittivity will will be be larger larger than than the free‐space permittivity. the free-space permittivity. Relative permittivity, which which is is often often referred referred to to as as the the dielectric dielectricconstant, constant,isisalso alsodefined definedas: as: Relative permittivity, εr = ε/εo (7) εr = ε/εo (7) For the unloaded PP, raising the electric‐field intensity to 30 kV/mm from zero yields a permittivity of 2.27, which is nearly constant, as intensity shown intoFigure 4. From the same figure, at higher For the unloaded PP, raising the electric-field 30 kV/mm from zero yields a permittivity electric fields than 30 kV/mm, relative diminishes about 1.46 at 110 of 2.27, which is nearly constant,however, as shownthe in Figure 4. permittivity From the same figure, at to higher electric fields kV/mm. than 30 kV/mm, however, the relative permittivity diminishes to about 1.46 at 110 kV/mm. 2.4 Relative Permittivity 2.2 2 1.8 1.6 1.4 0 10 20 30 40 50 60 70 80 90 100 110 Electric field intensity (kV/mm) Figure Figure 4. 4. Relative Relative permittivity permittivity as as aa function function of of electric‐field electric-field in in unfilled unfilled PP. PP. It should also be noted that these values may differ from one kind of PP to another since the It should also be noted that these values may differ from one kind of PP to another since the composition may have different concentrations of PP along with different component materials. composition may have different concentrations of PP along with different component materials. Nevertheless, the relative permittivity of PP under consideration is within the limits of the dielectric Nevertheless, the relative permittivity of PP under consideration is within the limits of the dielectric constant (2.2–2.5) in the linear region of the J vs. E characteristic as stated in standards [25]. constant (2.2–2.5) in the linear region of the J vs. E characteristic as stated in standards [25]. The variation of current density with the electric‐field intensity is given in Figure 5 for PP doped The variation of current density with the electric-field intensity is given in Figure 5 for PP doped with 2 wt % nanoclay. with 2 wt % nanoclay. Polymers 2018, 10, 942 Polymers 2018, 10, x FOR PEER REVIEW Polymers 2018, 10, x FOR PEER REVIEW 7 of 11 7 of 11 7 of 11 0.55 0.55 0.5 0.5 2) 2 Current density (μA/mm Current density (μA/mm ) 0.45 0.45 0.4 0.4 0.35 0.35 0.3 0.3 0.25 0.25 0.2 0.2 0.15 0.15 0.1 0.1 0.05 0.05 0 0 0 0 10 10 20 20 30 30 40 50 40 50 Electric field Electric field 60 70 80 60 70 80 intensity (kV/mm) intensity (kV/mm) 90 90 100 100 110 110 120 120 Figure 5. 5. Variation of current‐density with electric-field electric‐field intensity in PP composite filled with wt % Figure composite filled filled with with 22 wt Figure 5. Variation of current-density current‐density with electric‐field intensity in PP composite % nanoclay. natural nanoclay. nanoclay. natural It can be observed from Figure 5 that the current density varies with applied electric‐field It can be observed from Figure 5 that the current density varies with applied electric-field electric‐field intensity in the nanocomposite similar to that of the unfilled, control PP samples, and is non‐linear intensity in the nanocomposite non‐linear nanocomposite similar similar to to that of the unfilled, control PP samples, and is non-linear for the electric‐field intensities of 35 kV/mm and above. The relative permittivity, on the other hand, for the electric‐field kV/mm and electric-field intensities of 35 kV/mm andabove. above.The Therelative relativepermittivity, permittivity, on on the the other other hand, hand, remains constant around 2.25 up to about 35 kV/mm in PP filled with 2 wt % natural clay as shown remains constant constant around around2.25 2.25up uptotoabout about3535kV/mm kV/mmininPP PPfilled filledwith with2 2wtwt%% natural clay shown natural clay as as shown in in Figure 6 for the linear region of the J–E characteristic of the material. For electric fields higher than in Figure 6 for linear region theJ–E J–Echaracteristic characteristicofofthe thematerial. material.For For electric electric fields fields higher than Figure 6 for thethe linear region ofof the 35 kV/mm, however, there is a substantial reduction on the relative permittivity from 2.25 to 1.38 at 35 kV/mm, kV/mm,however, however,there there is is aa substantial substantial reduction reduction on on the the relative relative permittivity permittivity from 2.25 to 1.38 at 110 kV/mm due to the non‐linearity of the material. kV/mm due 110 kV/mm dueto tothe thenon‐linearity non-linearity of of the the material. material. Relative Relativepermittivity permittivity 2.35 2.35 2.15 2.15 1.95 1.95 1.75 1.75 1.55 1.55 1.35 1.35 0 0 10 10 20 20 30 40 30 40 Electric field Electric field 50 60 70 50 60 70 intensity (kV/mm) intensity (kV/mm) 80 80 90 90 100 100 110 110 120 120 Figure 6. Relative permittivity as a function of electric‐field in PP composite filled with 2 wt % natural Figure permittivity as aasfunction of electric‐field in PPin composite filled with wt % natural Figure 6. 6. Relative Relative permittivity a function of electric-field PP composite filled2 with 2 wt % nanoclay. nanoclay. natural nanoclay. PP filled with 6 wt % natural clay also revealed a non‐linear, saturation‐type J vs. E characteristic PP filled with 6 wt % natural clay also revealed a non‐linear, saturation‐type J vs. E characteristic PP filled 6 wt %7.natural clay also revealed a density non-linear, saturation-type J vs. E characteristic as pointed outwith in Figure The displacement‐current started to saturate at approximately 33 as pointed out in Figure 7. The displacement‐current density started to saturate at approximately 33 as pointed out in Figure 7. The displacement-current density started to saturate at approximately kV/mm. kV/mm. 33 kV/mm. The relative permittivity of this nanocomposite appears to be nearly constant at 2.24 up to the The relative permittivity of this nanocomposite appears to be nearly constant at 2.24 up to the The relative permittivity of thisasnanocomposite appears electric‐field intensity of 33 kV/mm presented in Figure 8. to be nearly constant at 2.24 up to the electric‐field intensity of 33 kV/mm as presented in Figure 8. electric-field intensity of PP 33 kV/mm as presented in filled Figure 8. 2 wt % nanoclay, the material exhibits Similar to the plain and the nanocomposite with Similar to the plain PP and the nanocomposite filled with 2 wt % nanoclay, the material exhibits Similar to the plain PP and the nanocomposite filled with 2 wt nanoclay, material a reduction in its relative permittivity to 1.42 at 110 kV/mm. As can%be observedthe from theseexhibits results, a reduction in its relative permittivity to 1.42 at 110 kV/mm. As can be observed from these results, a reduction in its relative permittivity to 1.42 at 110 kV/mm. As can be observed from results, natural nanoclay in PP did not contribute significantly to the current density vs. these electric‐field natural nanoclay in PP did not contribute significantly to the current density vs. electric‐field characteristic or to the relative permittivity. characteristic or to the relative permittivity. Polymers 2018, 10, 942 8 of 11 natural nanoclay in PP did not contribute significantly to the current density vs. electric-field characteristic to the relative permittivity. Polymers x PEER REVIEW 8 Polymers 2018, 2018, 10, 10,or x FOR FOR PEER REVIEW 8 of of 11 11 0.55 0.55 0.5 0.5 Current Currentdensity density(μA/mm (μA/mm2)2) 0.45 0.45 0.4 0.4 0.35 0.35 0.3 0.3 0.25 0.25 0.2 0.2 0.15 0.15 0.1 0.1 0.05 0.05 0 0 0 0 10 10 20 20 30 30 40 50 60 70 40 50 60 70 Electric Electric field field intensity intensity (kV/mm) (kV/mm) 80 80 90 90 100 100 110 110 Figure 7. 7. Variation Variation of of current-density current‐density with with electric-field electric‐field intensity intensity in in PP PP composite composite filled with 6 wt wt % % Figure composite filled filled with with 6 current‐density electric‐field natural nanoclay. nanoclay. natural nanoclay. 2.35 2.35 Relative Relativepermittivity permittivity 2.15 2.15 1.95 1.95 1.75 1.75 1.55 1.55 1.35 1.35 0 0 10 10 20 20 30 40 50 60 70 30 40 50 60 70 Electric Electric field field intensity intensity (kV/mm) (kV/mm) 80 80 90 90 100 100 110 110 Figure 8. 8. Relative permittivity permittivity as aa function function of the the electric‐field in in PP composite composite filled with with 6 wt % % Figure Figure 8. Relative Relative permittivity as as a function of of the electric‐field electric-field in PP PP composite filled filled with 66 wt wt % natural nanoclay. natural nanoclay. nanoclay. natural 4. 4. Discussion Discussion 4. Discussion The dielectric of PP is affected by the polymer morphology when PP is subjected to The dielectric dielectric breakdown breakdown of PP PP is is affected affected by by the the polymer polymer morphology morphology when when PP PP is is subjected subjected to to The breakdown of sinusoidal voltage. voltage. PP PP usually usually breaks breaks down down electrically electrically in in locations locations where where the the material material is is less less dense. dense. sinusoidal sinusoidal voltage. PP usually breaks down electrically in locations where the material is less dense. Andritsch al. indicated that the smallest breakdown voltages took place in the Andritsch etet etal. al.indicated indicatedthat that smallest breakdown voltages the interspherulitic interspherulitic Andritsch thethe smallest breakdown voltages tooktook placeplace in theininterspherulitic zones zones of PP, whereas the highest breakdown voltages took place in the spherulites regions [12]. zones of PP, whereas the highest breakdown voltages took place in the spherulites regions [12]. of PP, whereas the highest breakdown voltages took place in the spherulites regions [12]. Therefore, Therefore, the the improvement improvement observed observed in in the the breakdown breakdown strength strength of of nanocomposites nanocomposites of of PP PP could could be be Therefore, the improvement observed in the breakdown strength of nanocomposites of PP could be due to the due to the natural nanoclay that fills the regions less dense in PP. due to the naturalthat nanoclay fills the less natural nanoclay fills thethat regions lessregions dense in PP.dense in PP. Also, an optimum content of nanoclay is proposed according to the results on the breakdown Also, an optimum content of nanoclay is proposed the results results on on the the breakdown breakdown Also, an optimum content of nanoclay is proposed according according to to the strengths in in this this investigation. investigation. It It was was observed observed that that the the breakdown breakdown strength strength did did not not improve improve strengths strengths in this investigation. It was observed that the breakdown strength did not improve substantially for the nanocomposite filled with 6 wt % nanoclay when compared to 2 wt %. Therefore, substantially for for the the nanocomposite filled with with 66 wt wt % substantially nanocomposite filled % nanoclay nanoclay when when compared compared to to 22 wt wt %. %. Therefore, Therefore, nanocomposite loaded loaded with with 22 wt wt % % natural natural clay clay was was considered considered to to be be the the optimum optimum amount amount of of natural natural nanocomposite clay. Abou‐Dakka et al. concluded similarly with the similar nanocomposites of PP in which clay. Abou‐Dakka et al. concluded similarly with the similar nanocomposites of PP in which all all the the homocharges could possibly be reduced for the optimum nanoclay content [11]. homocharges could possibly be reduced for the optimum nanoclay content [11]. When the the rate rate of of rise rise of of the the applied applied voltage voltage was was increased increased from from 90 90 to to 1050 1050 V/s V/s across across unfilled unfilled PP PP When and its nanocomposite samples, a significant increase was observed on the breakdown strength and its nanocomposite samples, a significant increase was observed on the breakdown strength of of Polymers 2018, 10, 942 9 of 11 nanocomposite loaded with 2 wt % natural clay was considered to be the optimum amount of natural clay. Abou-Dakka et al. concluded similarly with the similar nanocomposites of PP in which all the homocharges could possibly be reduced for the optimum nanoclay content [11]. When the rate of rise of the applied voltage was increased from 90 to 1050 V/s across unfilled PP and its nanocomposite samples, a significant increase was observed on the breakdown strength of the materials. The increase in breakdown strength is due to the insufficient time to transfer energy to the particles in the unfilled PP as well as in the natural nanoclay-filled samples to initiate the ionization activity when the rate of rise of the applied voltage is higher. Thus, a higher electric-field intensity is required to maintain higher energy for the inception of ionization activity that might possibly cause a sustained discharge leading to the failure of the material. The saturation effect in the current density vs. electric-field intensity characteristics in unfilled PP and its nanocomposites loaded with natural nanoclay can be explained based on the net polarization of the materials. From Equation (3) it should be noted that the electric flux density is an angular frequency reduced displacement current under sinusoidal steady state. Also, the electric flux density is proportional to the net polarization of the material as indicated in Equations (4)–(6). When the applied electric field is raised starting from zero up to a certain level, the displacement current density increases linearly since it is directly proportional to the net polarization in the material. Above that certain electric-field intensity, on the other hand, the rate-of-change of net polarization with respect to the electric-field intensity becomes lower. Consequently, the saturation effect starts occurring in the material. In the linear region of the J–E characteristics of the materials, the relative permittivity remains almost constant since the net polarization of the material takes place at a constant rate of change with respect to the electric field. But, with respect to a higher electric field, net enhancement rate of polarization diminishes and leads to a significant reduction in the permittivity of the material. In a another work it was also stated that although polymeric materials have almost constant permittivity at relatively low electric fields, at high electric fields, substantial drops could be seen in the permittivity [26]. 5. Conclusions and Future Work As discussed in Section 4, one of the important conclusions of this study was, PP loaded with 2 and 6 wt % natural nanoclay indicated an improved breakdown strength when compared to the unfilled isotactic PP. However, it was observed that breakdown strength improved significantly as soon as the PP was doped with 2 wt % natural nanoclay. When the nanoclay content increased to 6 wt % there was still an increase in breakdown strength, but not as sharp as it was from plain PP to 2 wt % nanoclay loaded PP. Also, as the ramp speed of the applied voltage increased, breakdown strength of all the materials under consideration increased. Current density vs. electric-field intensity characteristics of all the materials in this study have shown very similar trends with some saturation effect. When the electric field was raised in the material up to a certain level, it seemed to have a linear behavior. However, above a critical applied electric field, materials responded non-linearly as discussed in Section 4. This was essentially due to the reduction of the enhancement-rate of the net electric polarization in the PP as well as its composites with nanoclay. Surface modification seems to be important for the contribution of the filler material to the properties of nanocomposites as indicated in [3,13,14,27]. As a future study, the influence of surface modification could be investigated on the breakdown and permittivity properties of the PP loaded with natural nanoclay. Also, further study should be performed on the aging of nanocomposites of PP with natural clay since their life prediction is important especially when used in capacitors and cables. Author Contributions: H.R.H. performed the experiments; H.R.H. and I.E.S. analyzed the data; H.R.H. wrote the manuscript. Funding: This research received no external funding. Polymers 2018, 10, 942 10 of 11 Acknowledgments: The authors are grateful to M. Abou-Dakka of National Research Council Canada for supplying the isotactic polypropylene and polypropylene nanocomposite filled with 2 and 6 wt % Cloisite® 20A. The equipment used in this work was partially funded by National Science Foundation grant # USE-8851806. Conflicts of Interest: The authors declare no conflict of interest. References 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. Nelson, J.K. (Ed.) Background, principles and promise of nanodielectrics. In Dielectric Polymer Nanocomposites; Springer: New York, NY, USA, 2010; pp. 1–30, ISBN 978144191591-7. Lewis, T.J. Interfaces are the dominant feature of dielectrics at the nanometric level. IEEE Trans. Dielectr. Electr. Insul. 2004, 11, 739–753. [CrossRef] Pourrahimi, A.M.; Olsson, R.T.; Hedenqvist, M.S. The role of interfaces in polyethylene/metal-oxide nanocomposites for ultrahigh-voltage insulating materials. Adv. Mater. 2018, 30, 1703624. [CrossRef] [PubMed] Bartnikas, R.; Srivastava, K.D. Elements of Cable Engineering; Sanford Educational Press: Waterloo, ON, Canada, 1980; pp. 19–64, ISBN 0920574092. Nelson, J.K.; Fothergill, J.C. Internal charge behaviour of nanocomposites. Nanotechnology 2004, 15, 586–595. [CrossRef] Laihonen, S.J. Polypropylene: Morphology, Defects and Electrical Breakdown. Ph.D. Thesis, Royal Institute of Technology, Stockholm, Sweden, 2005. Raju, G.G. Dielectrics in Electric Fields, 2nd ed.; CRC Press: Boca Raton, FL, USA, 2017; pp. 183–245, ISBN 978-1-4987-6521-3. Moyassari, A.; Unge, M.; Hedenqvist, M.S.; Gedde, U.W.; Nilsson, F. First-principle simulations of electronic structure in semicrystalline polyethylene. J. Chem. Phys. 2017, 146, 204901. [CrossRef] [PubMed] Abou-Dakka, M.; Cisse, L. Evolution of some dielectric properties of polypropylene-nanoclay composites with DC poling. In Proceedings of the IEEE Conference on Electrical Insulation and Dielectric Phenomena, Cancun, Mexico, 16–19 October 2011; pp. 628–631. Chung, T.C.M. Functionalization of polypropylene with high dielectric properties: Applications in Electric Energy storage. Green Sustain. Chem. 2012, 2, 29–37. [CrossRef] Abou-Dakka, M.; Chen, Y. Effect of Reverse Polarity on Space Charge Evolution in Polypropylene with Different Concentration of Natural and Synthetic Nano Clay. In Proceedings of the IEEE Conference on Electrical Insulation and Dielectric Phenomena, Shenzhen, China, 20–23 October 2013; pp. 671–675. Andritsch, T.; Vaughan, A.; Stevens, G.C. Novel Insulation Materials for High Voltage Cable Systems Key words: Thermoplastic polymer, high voltage cable, cross-linked polyethylene. IEEE Electr. Insul. Mag. 2017, 33, 27–33. [CrossRef] Liu, D.; Hoang, A.T.; Pourrahimi, A.M.; Pallon, L.K.H.; Nilsson, F.; Gubanski, S.M.; Olsson, R.T.; Hedenqvist, M.S.; Gedde, U.W. Influence of nanoparticle surface coating on electrical conductivity of LDPE/Al2O3 nanocomposites for HVDC cable insulations. IEEE Trans. Dielectr. Electr. Insul. 2017, 24, 1396–1404. [CrossRef] Liu, D.; Pallon, L.K.H.; Pourrahimi, A.M.; Zhang, P.; Diaz, A.; Holler, M.; Schneider, K.; Olsson, R.T.; Hedenqvist, M.S.; Yua, S.; et al. Cavitation in strained polyethylene/aluminium oxide nanocomposites. Eur. Polym. J. 2017, 87, 255–265. [CrossRef] Mammone, R.J.; Wade, W.L.; Binder, M. Extruded Films from Modified Polypropylene Resin: Dielectric and Breakdown Studies; Electronics Technology and Devices Laboratory, A Report Approved for Public Release; U.S. Army Laboratory Command: Adelphi, MD, USA, 1992. Cygan, P.; Krishnakumar, B.; Laghari, J.R. Lifetimes of polypropylene films under combined high electric fields and thermal stresses. IEEE Trans. Electr. Insul. 1989, 24, 619–625. [CrossRef] Mason, J.H. Effects of Thickness and Area on the electric Strength of Polymers. IEEE Trans. Electr. Insul. 1991, 26, 318–322. [CrossRef] Bulinski, A.; Bamji, S.S.; Abou-Dakka, M.; Chen, Y. Dielectric properties of polypropylene containing synthetic and natural organoclays. In Proceedings of the IEEE Conference on Electrical Insulation and Dielectric Phenomena, San Diego, CA, USA, 6–9 June 2010. Polymers 2018, 10, 942 19. 20. 21. 22. 23. 24. 25. 26. 27. 11 of 11 Abou-Dakka, M.; Ghunem, R.A.; McIntyre, D. Space Charge Evolution in Polypropylene loaded with Synthetic and Natural Nanoclay Aged at 50 ◦ C Temperature. In Proceedings of the IEEE Conference on Electrical Insulation and Dielectric Phenomena, Des Moines, IA, USA, 19–22 October 2014; pp. 723–726. Couderc, H.; Frechette, M.; David, E. Fabrication and dielectric properties of polypropylene/silica nano-composites. In Proceedings of the IEEE Electrical Insulation Conference, Seattle, WA, USA, 7–10 June 2015; pp. 329–332. Hiziroglu, H.R.; Shkolnik, I.E. Electrical Breakdown of Polypropylene Filled with Natural Clay as Nanomaterial. In Proceedings of the IEEE Conference on Electrical Insulation and Dielectric Phenomena, Ann Arbor, MI, USA, 18–21 October 2015; pp. 455–458. Utracki, L.A. Clay-containing polymeric nanocomposites and their properties. IEEE Electr. Insul. Mag. 2010, 26, 6–15. [CrossRef] Gómez, M.; Palza, H.; Quijada, R. Influence of organically-modified montmorillonite and synthesized layered silica nanoparticles on the properties of polypropylene and polyamide-6 nanocomposites. Polymers 2016, 8, 386. [CrossRef] Guru, B.S.; Hiziroglu, H.R. Electromagnetic Field Theory Fundamentals, 2nd ed.; Cambridge University Press: Cambridge, UK, 2004; pp. 94–98, ISBN 0521830168. Brandrup, J.; Immergut, E.H.; Grulke, E.A. Polymer Handbook, 4th ed.; John Wiley & Sons, Inc.: New York, NY, USA, 1999. Raju, G.G. Dielectrics in Electric Fields, 2nd ed.; CRC Press: Boca Raton, FL, USA, 2017; p. 79, ISBN 978-1-4987-6521-3. An International Collective of Scientists. Nanodielectrics: A Panacea for Solving All Electrical Insulation Problems? In Proceedings of the International Conference on Solid Dielectrics, Potsdam, Germany, 4–9 July 2010; pp. 1–29. © 2018 by the authors. Licensee MDPI, Basel, Switzerland. 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