Numerical solution of the corona discharge problem based on mesh redefinition and test for a charge injection law

Khaddour, B.; Atten, P.; Coulomb, Jean‐Louis

doi:10.1016/j.elstat.2008.01.009

Cited by 19 publications

(10 citation statements)

References 11 publications

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“…One serious disadvantage of PIC method is its huge computational cost, especially for 3D computations. Another popular technique is the Method of Characteristic (MoC) [14,26]. This method is very suitable for single species problems.…”

Section: Introductionmentioning

confidence: 99%

An efficient finite volume method for electric field–space charge coupled problems

Traoré

Louste

2013

Journal of Electrostatics

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Section: Introductionmentioning

confidence: 99%

An efficient finite volume method for electric field–space charge coupled problems

Traoré

Louste

2013

Journal of Electrostatics

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“…In the ion flow field problem, both the Dirichlet type and Neumann type boundary conditions of the electric potential have to be imposed on the electrodes' surface. The traditional method concludes two loops: the inner loop is applied to solve the well-posed boundary value problem by providing the space charge on the electrode surface and the outer loop is applied to modify the space charged distribution on the electrode surface using the secant method [9][10][11]. In the authors' previous work, the ion flow field problem is transformed into an inverse problem and a new solving framework is proposed based on the regularisation technique [12].…”

Section: Introductionmentioning

confidence: 99%

A high performance approach for solving the high voltage direct current ion flow field problem by tensor‐structured finite element method

Cheng

Zou

2022

High Voltage

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In order to achieve high performance for solving the ion flow field problem, an approach is proposed with the tensor‐structured finite element method (FEM) to accelerate the Newton iteration. The Poisson equation and the continuity equation are reformulated into the tensor expressions, respectively. The element level evaluation phase is decomposed into the concatenated tensor contraction operations, which is implemented by the highly optimised arithmetic operation provided in Matlab. In contrast to the traditional implemented FEM, the tensor‐structured FEM has significantly improved the throughput and achieved high performance. The accuracy and efficiency of the tensor‐based algorithm are verified under the unipolar and bipolar model, respectively. The tensor‐based algorithm provides one order of magnitude speedup over the traditional algorithm in the elemental evaluation phase. ‘Tensorization’ is an efficient way to bridge the algorithm and the hardware.

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“…The secant method applied to the outer loop, modifies the ion density on the electrode node by node. The underlying assumption of that method is that the electric field on the electrode surface is only affected by the ion density on the same node, which is also called the "injection law" [13][14] in the electrostatic precipitator models. In practice, these node by node modifications lead to unphysical results like the emission of too many ions at one point than its neighbors.…”

Section: Introductionmentioning

confidence: 99%

A Novel and General Approach for Solving the Ion-Flow Field Problem by a Regularization Technique

Cheng

Zou²,

Clénet³

2021

IEEE Trans. Power Delivery

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In order to have a better convergence and accuracy for solving the ion-flow field problem, a novel and general numerical approach is proposed. In the past, the framework of the traditional mesh based method has a dilemma that the Kapzov boundary condition can be imposed properly, and it must have two loops: the "well-posed" problem is solved in the inner loop and the secant based method is applied to impose the Kapzov assumption in the outer loop. In contrast, the proposed method solves the ion flow field problem from the perspective of the inverse problem. The original boundary value problem is transformed into a regularized optimization problem based on the prior information about the smooth ion distribution on the conductors. The objective function is separated into two parts and minimized by the alternating direction iterative method. In contrast to the traditional methods, the proposed method has removed the redundant iterations and the contentious simplifications. Numerical experiments show that the performance of the proposed method is superior to the traditional method and the results obtained by the proposed method agree better with the physical law than the traditional method. the new method presents a general and rigorous way to analysis the ion-flow field problem.

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Numerical solution of the corona discharge problem based on mesh redefinition and test for a charge injection law

Cited by 19 publications

References 11 publications

An efficient finite volume method for electric field–space charge coupled problems

An efficient finite volume method for electric field–space charge coupled problems

A high performance approach for solving the high voltage direct current ion flow field problem by tensor‐structured finite element method

A Novel and General Approach for Solving the Ion-Flow Field Problem by a Regularization Technique

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