Modeling relative permittivity and electrical treeing in polymer nanocomposites

Pitsa, Despoina; Danikas, M. G.

doi:10.1109/icsd.2013.6619709

Cited by 7 publications

(12 citation statements)

References 12 publications

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“…Comparison of the results in Table 1 with results calculated using a previously described model show good agreement. Reference [12] describes interphases with thicknesses around 30 nm (summing all layers for a 25 nm radius particle), which agree with the present results for the BECy/silicon data. Also, Pitsa's model assumes an interphase permittivity ranging between the matrix and nanofiller values, decreasing from the latter exponentially as a function of distance.…”

Section: Discussionsupporting

confidence: 89%

“…The present work, while assuming a uniform value for the interphase, also predicts a permittivity value residing between that of the two composite constituents, for the BECy/silicon data, that decreases as the interphase thickness increases. Table 2 with results using the model found in [12], for LDPE/alumina data that exhibit the anomalous minimum, do not agree, however. While the interphase thicknesses are comparable, depending on the value of interphase permittivity chosen from Table 2, the interphase permittivity values are not.…”

Section: Discussionmentioning

confidence: 71%

“…Later, Todd and Shi [11] proposed an interphase power law which calculates the effective composite permittivity using a three-phase power law calculation. Pitsa et al [12] recently proposed a model to calculate the interphase permittivity, for use in examining how titania nanoparticles affect electrical treeing in epoxy, assuming that the interphase permittivity ranges from particle to matrix permittivity values and varies with respect to an exponential function. Also, Pitsa et al [13] published a detailed overview of many of the widely accepted theoretical interphase models, including those of Tsagaropoulos and Tanaka.…”

Section: Introductionmentioning

confidence: 99%

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Modeling the interphase of a polymer-based nanodielectric

Daily

Sun

Kessler

et al. 2014

IEEE Trans. Dielect. Electr. Insul.

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A three-phase theoretical model is proposed that is suitable for describing the effective permittivity of polymer-matrix composites containing spherical nanoparticles. The model accounts for the presence of an interphase region, which surrounds each nanosphere, whose permittivity is allowed to be different from that of the matrix polymer. The nanoparticles themselves are approximated as hard (non-overlapping) spheres, whereas the interphase regions of neighboring nanoparticles are permitted to overlap. The volume fraction of the interphase region is computed by assuming that the nanoparticles are arranged on the nodes of a simplecubic lattice. The effective permittivity of the composite is subsequently computed via threephase Wiener bounds. As an example application of the model, permittivity data measured on a silicon/bisphenol E cyanate ester nanodielectric and a low-density polyethylene/alumina nanodielectric are shown to lie outside the range of the two-phase Wiener bounds yet lie within the range of the three-phase Wiener bounds with appropriate choice of interphase permittivity and thickness. SECTION I.

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Section: Discussionsupporting

confidence: 89%

Section: Discussionmentioning

confidence: 71%

Section: Introductionmentioning

confidence: 99%

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Modeling the interphase of a polymer-based nanodielectric

Daily

Sun

Kessler

et al. 2014

IEEE Trans. Dielect. Electr. Insul.

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“…The dielectric enhancement by interface and its contribution to the composite have been identified by some theoretical works. Different from standard two‐phase mixture models such as the famous Maxwell–Garnett formula, in these interface‐involved theoretical models, the interface is usually considered as a separate phase (“interphase”) in addition to polymer and fillers . For example, Todd and Shi studied the complex permittivity of composite systems by an interphase power‐law model, which was constructed on the permittivity and volume fractions of matrix, filler, and interphase between them.…”

Section: Interfacial Enhancement Effect Of Breakdown Strength and Diementioning

confidence: 99%

Superior Energy Storage Performances of Polymer Nanocomposites via Modification of Filler/Polymer Interfaces

Zhang

Dong

et al. 2018

Adv Materials Inter

178

112

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systems, they have numerous applications in various fields as pulsed power supply technology, [8,9] energy harvesting, [10][11][12] inverters, [13][14][15] and passive elements, [16][17][18] toward both defense and civil industries. Excellent energy storage capabilities of dielectric materials including high discharged energy density and high energy efficiency have long been eagerly pursued to meet the challenges and needs of the rapid development of modern industry, i.e., the low energy density of current dielectric materials results in overburdened capacitor volume and weight in electrical power systems. The energy storage performances of dielectric materials are usually multiply determined by three major electrical and dielectric parameters, which are categorized as:1) The breakdown strength E b ;2) The relative permittivity (also called dielectric constant) ε r or electric displacement D (the electric displacement is related to the polarization P by D = P + ε 0 E, here ε 0 = 8.85 × 10 −12 F m −1 is the vacuum permittivity); 3) The dielectric loss tanδ.In general, as illustrated in Figure 1, the discharged energy density of dielectric materials can be determined aswhere E is the applied electric field, and the energy efficiency is calculated by Dielectric polymer nanocomposites by integration of high-E b polymer matrix and high-D(ε r ) ceramic fillers have shown great potential for dielectric and energy storage applications in modern electronic and electrical systems. Interface between ceramic fillers and polymer matrix is considered as a predominant factor to determine the dielectric performances of the nanocomposites. This review analyzes the influence of the interface on dielectric responses and breakdown strength in the nanocomposites, and discusses the viability of current interface engineering strategies in improving their energy storage capabilities. Two scopes of current interface modification approaches are focused from both structural and functional considerations in the dielectric ceramics/polymer nanocomposites: first, the organic/inorganic interface compatibility can be modified to generate homogeneous dispersion of ceramic nanoparticles in polymer matrix, which is the premise of fully realizing the synergistic combination of advantages of polymer and ceramic fillers; second, regulated local electrical and dielectric behaviors in interface region enable the enhancement of dielectric properties (both high dielectric constant and high breakdown strength) in resultant nanocomposites. In the last part, some present challenges and future perspectives are proposed to utilize the interface strategy for developing high energy density ceramics/ polymer nanocomposites for dielectric and energy storage applications.

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“…In addition to this, the degree of degradation is affected by the number of impurities present. In addition, [44] proposed the relative permittivity model for electrical treeing with reference to some of the other interesting models such as Lewis model, Tsagaropoulos' model, multi-core model, interphase volume model, potential barrier model and polymer chain alignment model which gives an idea of interfacing arrangement and the properties that exhibits by the nano-composite dielectrics. Accordingly, the interface relative permittivity (ɛx) may be calculated by the following exponential formula:…”

Section: Properties Of Nano-compositesmentioning

confidence: 99%

A review on deterministic and stochastic models for electrical treeing initiation and propagation in solid insulation systems from the perspective of prediction assessment techniques

Balamurugan.¹,

Venkatesh²

2018

IJET

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Electrical treeing is a challenging prospect related to degradation mechanism in dielectrics that eventually leads to its breakdown. Treeing propagation depends on dielectric and electrode configuration thus leading to types such as branch, filamentary, bush etc. Though researchers have attempted a gamut of studies related to treeing, it is evident that appropriate choice of prognostic model is essential for prediction of ageing of insulation that emulate features such as dendrite length, channel width, space charge etc. Although studies related to treeing modeling have taken up depictions such as Diffusion Limited Aggregation, Field Limiting Space Charge etc. to obtain estimates of electric potential based on boundary value equations (Laplace and Poisson) utilizing tools such as Fractal Analysis, Cellular Automata etc., challenges such as space charge, inhomogeneity factor etc. continue to confront researchers. This research gives a detailed insight into a wide spectrum of studies related to treeing and ageing prediction assessment of insulation based on physical, electrical, numerical and analytical models developed thus far. This study also summarizes succinctly, the merits and limitations in each method and avenues for improvement. Finally, this research gives clues into important future opportunities related to methodologies for development pertaining to treeing prediction and ageing assessment.Recently the concept of CA has been effectively utilized by various researchers like [5]-[6], [11], [43]-[46] for their investigations related to the growth characteristics of electrical trees with distinct features of inclusion of dielectric inhomogeneity factor, effect of space charge, nano-composites etc. especially in case of solid dielectrics which are as specified in Table 6.

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Modeling relative permittivity and electrical treeing in polymer nanocomposites

Cited by 7 publications

References 12 publications

Modeling the interphase of a polymer-based nanodielectric

Modeling the interphase of a polymer-based nanodielectric

Superior Energy Storage Performances of Polymer Nanocomposites via Modification of Filler/Polymer Interfaces

A review on deterministic and stochastic models for electrical treeing initiation and propagation in solid insulation systems from the perspective of prediction assessment techniques

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