Bipolar charge transport model with trapping and recombination: an analysis of the current versus applied electric field characteristic in steady state conditions

Baudoin, F.; Roy, Séverine Le; Teyssèdre, G.; Laurent, Christian

doi:10.1088/0022-3727/41/2/025306

Cited by 95 publications

(62 citation statements)

References 12 publications

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“…Under low DC voltage, the concavities for the steady state profiles turn toward the low absolute values as (a) (b) shown in figure (3.b). These results are in a good agreement with those obtained by the steady model of Baudoin et al [13]. During the transient state, our model allows us to follow the transient profiles, and it can especially indicate the effect of the presence of the space charge packets on the shape of the recombination rate profile.…”

Section: The Recombination Rate Density Under High and Low DC Voltagesupporting

confidence: 90%

“…During these last years, the theoretical modelling and simulation have been integrated for better understanding the space charge dynamics [7][8][9][10][11][12]. Previous works showed the existence of two charge dynamics corresponding to mobile and trapped carriers at high and low DC applied voltages, respectively [12,13].…”

Section: Introductionmentioning

confidence: 99%

“…According to our knowledge, few numerical works are presented especially for the transient current of the bipolar charge transport in the insulating polyethylene. Recently, Baudoin et al [13] have published a bipolar model for only the steady state current in LDPE sample. In this particular case, their results also show the existence of two aspects of charge accumulations under high and low voltages.…”

Section: Introductionmentioning

confidence: 99%

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Physical and Numerical Modelling for Bipolar Charge Transport in Disorder Polyethylene Under High DC Voltage

Boukhris¹,

Belgaroui²,

Kallel³

2010

ijeei

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Laboratoire des matériaux composites céramiques et polymères (LaMaCoP) Faculté des sciences de Sfax BP 805 Sfax 3000 Tunisie. imed_boukhris@yahoo.frAbstract: This paper reports on validation of a numerical model for both transient and steady bipolar charge transport, trapping and recombination in polymeric insulators, such as low density polyethylene. The numerical model is based on the high precision Runge-Kutta method for determining mobile and trapped charge local density within the sample, during the application of a DC voltage. In addition, we have applied the finite element method considered as the most general one, which can be applied to any sample shape and boundary conditions. It is applied to resolve Poisson's equation, thus providing the potential and its gradient within the sample and at the dielectric-electrode interfaces. The principal results show the appearance of charge packets for the first time in modeling works although they have long been reported in experimental studies on polyethylene materials. The conditions for the appearance of such packets are discussed. For the net space charge density and the conduction current, the dynamics are in a good agreement with those observed in some experimental works during the transit time of the bipolar carriers. The model is already numerically validated for the space charge densities and the electric field distribution under low DC voltage.

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Section: The Recombination Rate Density Under High and Low DC Voltagesupporting

confidence: 90%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Physical and Numerical Modelling for Bipolar Charge Transport in Disorder Polyethylene Under High DC Voltage

Boukhris¹,

Belgaroui²,

Kallel³

2010

ijeei

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“…Charge density is much less when considering charge transport in LDPE at low field value, in the range 1 to 10 C.m -3 , leading to a number of recombining events of about 10 -1 to 10 C. m -3 .s -1 (for the same recombination coefficient). In another work [24], recombination processes were shown to control the shape of the current-voltage characteristic in LDPE at high field where charge density reaches values in the same range as the irradiation case (10 to 10 +2 C.m -3 s -1 ).…”

Section: Recombination Coefficientsmentioning

confidence: 95%

Charge transport modelling in electron-beam irradiated dielectrics: a model for polyethylene

Roy¹,

Baudoin²,

Griseri³

et al. 2010

J. Phys. D: Appl. Phys.

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This paper proposes a numerical model for describing charge accumulation in electron-beam irradiated low density polyethylene. The model is bipolar, and based on a previous model dedicated to space charge accumulation in solid dielectrics under electrical stress. It encompasses the generation of positive and negative charges due to the electron beam and their transport in the insulation. A sensitivity analysis of the model to parameters specific to electron beam irradiation is performed in order to understand the impact of each process on the space charge distribution. At last, a direct comparison between time dependent space charge distribution issued from the model and from measurements is performed. The transport parameters used for the simulations are the same as those optimized for transportation in polyethylene under an external electric field giving a robustness in the modelling approach because of the constrains on fitting parameters that must comply to a set of experimental results.PACS Numbers: 72.20Ht, 72.20Jv 1. Introduction Solid dielectrics used as thermal blanket on geostationary satellites are submitted to the flow of several types of charged particles, and particularly to electrons. These materials can accumulate charges, building up the potential inside the dielectric, meaning a potential difference between different parts of the satellite. Electrostatic Surface Discharge (ESD) can occur, leading to possible damages of the electronics of the satellite [1]. In order to prevent such ESD to happen, it is necessary to understand the dynamics of the charge transport in solid dielectrics used in space environment. A number of studies have been carried out in this domain. Some are experimental, measuring the surface potential of the irradiated samples, the current flow during irradiation [2] and the space charge distribution after irradiation [3]. Recently, two original set-ups [4-5] to measure space charge distribution in electronbeam irradiated samples have been developed on the basis of the Pulsed Electro-Acoustic (PEA) method. With these experimental tools, it is now possible to observe the dynamic of charging and discharging in electron-beam irradiated materials. On the other hand, a number of works on theoretical background and simulation has been done in order to understand and reproduce the behaviour of charge in electron beam irradiated polymers [6][7][8][9]. Our very aim is to develop space charge modelling in electron beam irradiated materials in nonstationary conditions through an approach that closely associates experiment and numerical simulation. Within the first part of this paper, we briefly review the state-of-the-art on modelling charge transport in synthetic insulations under electron beam irradiation in order to establish the position of our approach. Then, we describe the proposed model, which has been adapted from a previous one [10] developed for space charge conduction in a Low Density Polyethylene (LDPE) under DC stress. The same set of transport parameters has b...

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“…It can be seen that these expressions yield a non-zero injection current at zero field which is unphysical. In our most recent simulation (see for example [30,33]), we used an alternative description based on the Schottky expression to take into account the reverse flux counterbalancing the thermionic emission at zero field and will ensure the thermal equilibrium (contact charge). However, the effect of the thermal term is only influential at low field and this yields no consequence on the results reported herein.…”

Section: Mathematical and Numericalmentioning

confidence: 99%

Charge dynamics and its energetic features in polymeric materials

Laurent

Teyssèdre

Roy

et al. 2013

IEEE Trans. Dielect. Electr. Insul.

148

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Modeling charge transport and linking charge dynamics with dissipative processes responsible for electrical ageing are a challenging objective for developing a mature approach in insulation design. Such an approach is exemplified here for polyethylenebased materials by introducing two models describing bipolar Space Charge Limited Current in transient and steady states. They rely on two classical descriptions of the distribution function of the energy levels of trap states -single trapping level or exponential distribution. Their predictions are discussed as regards the experimental behavior. They notably highlight the importance of recombination processes in explaining the sigmoidal shape of the steady-state current-voltage characteristic. Also, bipolar charge transport seems to be a necessary factor for the observed features of oscillatory charge packets. The energetic features of charge dynamics is reviewed with particular emphasis on recombination phenomena because the latter promote electronically excited states that are chemically reactive and could be involved in ageing reaction. The relationship between charge recombination and electroluminescence is highlighted through experiments and simulation. The spectral analysis of the emitted light advocates the existence of massive chemical/physical degradation in the electrical regime where recombination is a major factor of the Space Charge Limited Current (SCLC).

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Bipolar charge transport model with trapping and recombination: an analysis of the current versus applied electric field characteristic in steady state conditions

Cited by 95 publications

References 12 publications

Physical and Numerical Modelling for Bipolar Charge Transport in Disorder Polyethylene Under High DC Voltage

Physical and Numerical Modelling for Bipolar Charge Transport in Disorder Polyethylene Under High DC Voltage

Charge transport modelling in electron-beam irradiated dielectrics: a model for polyethylene

Charge dynamics and its energetic features in polymeric materials

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