Considerations on diverse physical phenomena leading to return voltage on insulators

Molinié, Philippe

doi:10.1016/j.elstat.2022.103674

Cited by 3 publications

(1 citation statement)

References 8 publications

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“…In closed circuit, because of the delayed component of the polarization, a resorption current will flow which is very similar to the absorption current. The analogue of this phenomenon in open circuit is the return voltage 𝑉𝑉 𝑅𝑅𝑅𝑅 (𝑡𝑡) which occurs when a charged insulator is neutralized after a given relaxation time 𝑡𝑡 𝑛𝑛 , and left in open circuit [4]. It may be deduced from the voltage decay 𝑉𝑉 𝐷𝐷𝑅𝑅 (𝑡𝑡) using the superposition principle: 2).…”

Section: The Insulator In the Time Domain As A Linear Systemmentioning

confidence: 99%

Analytical and numerical modelling of the electrostatic behaviour of highly insulating materials in the time domain

Molinié

2024

J. Phys.: Conf. Ser.

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The usual response of an insulator subjected to a voltage step involves time power laws. We present here mathematical tools allowing to calculate this time domain response in open circuit after an initial charge deposit, within the framework of linear systems theory, using linear fractional transfer functions. In the time domain, the inverse Laplace transform of the data taken from the frequency domain leads to Mittag-Leffler functions, generalizing the Debye exponential response to an extended fractional α-order response. The open-circuit boundary conditions are different from the closed-circuit ones. We nevertheless demonstrate that using a transfer function deduced from the Cole-Cole response in closed-circuit, a precise analytical formula of the potential decay after an initial charge deposit may be established, and a numerical computation of this decay may be performed using easily available software. Applying the superposition principle, the voltage return following a brief short circuit may also be deduced. Experimental results are presented and the limits of the superposition principle applied to real materials are discussed.

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Section: The Insulator In the Time Domain As A Linear Systemmentioning

confidence: 99%

Analytical and numerical modelling of the electrostatic behaviour of highly insulating materials in the time domain

Molinié

2024

J. Phys.: Conf. Ser.

Self Cite

View full text Add to dashboard Cite

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How fast does a static charge decay? An updated review on a classical problem

Molinié

2024

Journal of Electrostatics

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Dielectric relaxation in open circuit: Theory, simulations, and some experiments

Molinié

2023

Journal of Applied Physics

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Static charge on insulating material surfaces may be a source of nuisance and an operational requirement in many devices. It induces a potential that evolves with time due to conduction and polarization processes in the dielectric. Here, we analyze, from a theoretical and experimental point of view, the response of an insulator subjected to a charging pulse, within the frame of linear system theory. The surface potential decay and the return voltage after a brief neutralization, which can be easily measured using an electrostatic probe, usually follow time power laws. We consider here a dielectric following the classical Cole–Cole response function in the frequency domain and derive an exact analytic formula for the potential decay, which involves a Mittag–Leffler function. The relationship between the potential decay and the absorption current when a constant voltage is applied on the dielectric is also analyzed. Experiments on several common insulating materials are analyzed according to this theory, using a numerical simulation with a two-cell model. Return voltage measurements are used to check which materials behave according to the linear model. We underline that an equivalent circuit using constant-phase elements, corresponding to several cells following the Cole–Cole response, can also represent dipolar motions in the dielectric as charge hopping between energy-distributed traps.

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Considerations on diverse physical phenomena leading to return voltage on insulators

Cited by 3 publications

References 8 publications

Analytical and numerical modelling of the electrostatic behaviour of highly insulating materials in the time domain

Analytical and numerical modelling of the electrostatic behaviour of highly insulating materials in the time domain

How fast does a static charge decay? An updated review on a classical problem

Dielectric relaxation in open circuit: Theory, simulations, and some experiments

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