Numerical Optimization Applying Trust Region Algorithm to Optimize Parameters Related to Charge Transport Model in LDPE

Hallak, Khaled; Baudoin, F.; Griseri, V.; Bugarin, Florian; Segonds, Stéphane

doi:10.1109/tdei.2020.008876

Cited by 10 publications

(3 citation statements)

References 11 publications

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“…7, the explicit integration scheme is the most computationally efficient for simulated time spans shorter than 1.00 • 10 4 s. Nevertheless, for the study of solid polymeric dielectric materials, it is often necessary to perform studies over time spans considerably longer than 1.00 • 10 4 s, where the implicit integration scheme is clearly the fastest. This difference can be quite relevant if many simulations need to be performed, e.g., in the case of an optimization problem aiming to find a best fit for physical parameters, such as those in [52], [53], [54], [55], [56]. Such optimization problems are of interest e.g.…”

Section: B Explicit Vs Implicit Time Discretization Schemementioning

confidence: 99%

An Efficient Numerical Technique for the Simulation of Charge Transport in Polymeric Dielectrics

Ragazzi,

Popoli,

Cristofolini

2024

IEEE Access

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In recent years, the use of HVDC cables has grown exponentially. One of the main challenges that remains concerns the space charge accumulation inside the insulating materials. A better understanding of the mechanisms governing this phenomenon is essential to improve the performance of HVDC systems. Numerical simulations are often employed to achieve this goal. For this reason, it is important to perform them in an efficient way. In this work, we test several numerical techniques, aiming to assess which one is the best to use for fast and reliable simulations. We consider a well-known bipolar dynamic model from the literature for our simulations. The model considers a single level of deep traps and is implemented in a one-dimensional Cartesian coordinate system, considering a thin specimen of polymeric material. We compare three different time discretization methods: a fully explicit, a semi-implicit, and a fully implicit approaches. For the advective flux discretization, we compare the first-order upwind scheme (FOU) with a second-order upwind scheme coupled with the Koren flux limiter (SOU/KL). Regarding the computation of the polarization current, we introduce a simple approach using Sato's equation and compare it with the well-established approach based on the total current density.INDEX TERMS Bipolar charge transport, Koren flux limiter, polymeric dielectrics, drift diffusion, polarization current, numerical simulation, efficient computation.

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Section: B Explicit Vs Implicit Time Discretization Schemementioning

confidence: 99%

An Efficient Numerical Technique for the Simulation of Charge Transport in Polymeric Dielectrics

Ragazzi,

Popoli,

Cristofolini

2024

IEEE Access

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“…In the literature, most of the presented BCT models consider the trapping and detrapping rates independent of the electric field (Le Roy et al , 2004; Hallak et al , 2020; Thomas et al , 2011; Hallak et al , 2021; Hoang et al , 2016). Nevertheless, some works have addressed experimentally and theoretically the relationship between trapping and detrapping phenomena and the electric field (Kim et al , 2020; Doedens et al , 2020).…”

Section: Bipolar Charge Transport Modelmentioning

confidence: 99%

“…In other words, it is challenging to identify the most suitable parameter values that best fit the experimental measurements. An optimization approach known as the trust region reflective algorithm (TRRA) was introduced to estimate the values of the unknown parameters (Hallak et al , 2020). This technique is used in our study to minimize the difference between experimental and simulated data to achieve the optimal set of parameters that best suit experimental measurements.…”

Section: Introductionmentioning

confidence: 99%

Refining the physical description of charge trapping and detrapping in a transport model for dielectrics using an optimization algorithm

Hallak,

Baudoin,

Griseri

et al. 2023

COMPEL

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Purpose The purpose of this paper is to optimize and improve a bipolar charge transport (BCT) model used to simulate charge dynamics in insulating polymer materials, specifically low-density polyethylene (LDPE). Design/methodology/approach An optimization algorithm is applied to optimize the BCT model by comparing the model outputs with experimental data obtained using two kinds of measurements: space charge distribution using the pulsed electroacoustic (PEA) method and current measurements in nonstationary conditions. Findings The study provides an optimal set of parameters that offers a good correlation between model outputs and several experiments conducted under varying applied fields. The study evaluates the quantity of charges remaining inside the dielectric even after 24 h of short circuit. Moreover, the effects of increasing the electric field on charge trapping and detrapping rates are addressed. Research limitations/implications This study only examined experiments with different applied electric fields, and thus the obtained parameters may not suit the experimental outputs if the experimental temperature varies. Further improvement may be achieved by introducing additional experiments or another source of measurements. Originality/value This work provides a unique set of optimal parameters that best match both current and charge density measurements for a BCT model in LDPE and demonstrates the use of trust region reflective algorithm for parameter optimization. The study also attempts to evaluate the equations used to describe charge trapping and detrapping phenomena, providing a deeper understanding of the physics behind the model.

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Study About the Surface Charge Accumulation and Dissipation of Insulators Under Corona Condition

Yi,

Xu,

Yao

et al. 2024

Lecture Notes in Electrical Engineering

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Numerical Optimization Applying Trust Region Algorithm to Optimize Parameters Related to Charge Transport Model in LDPE

Cited by 10 publications

References 11 publications

An Efficient Numerical Technique for the Simulation of Charge Transport in Polymeric Dielectrics

An Efficient Numerical Technique for the Simulation of Charge Transport in Polymeric Dielectrics

Refining the physical description of charge trapping and detrapping in a transport model for dielectrics using an optimization algorithm

Study About the Surface Charge Accumulation and Dissipation of Insulators Under Corona Condition

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