Computation of electric field inside substations with boundary element methods and adaptive cross approximation

Drandić, Ana; Trkulja, Bojan

doi:10.1016/j.enganabound.2018.03.002

Cited by 5 publications

(2 citation statements)

References 25 publications

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“…This section will provide a brief description of the ACA algorithm used to improve the BEM solver for capacitance matrix calculation. The implementation and efficiency of the ACA algorithm for different problems can be found in [25][26][27][28][29][30][31].…”

Section: Adaptive Cross-approximationmentioning

confidence: 99%

Evaluation of Methodology for Lightning Impulse Voltage Distribution over High-Voltage Windings of Inductive Voltage Transformers

et al. 2021

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Knowledge of lightning impulse (LI) voltage distribution over transformer windings during the design stage of the transformer is very important. Specific design differences in inductive voltage transformers make the transient analysis approach different to the approach to the power transformers. In this paper, a methodology for acquiring lightning impulse voltage distribution over high-voltage (HV) winding of inductive voltage transformers is presented and evaluated. Resistance, inductance, and capacitance matrices are calculated using the integral and boundary element methods (BEM) approach. Additionally, in order to improve the capacitance matrix solver, adaptive cross approximation (ACA) is applied. These parameters are then used to solve the equivalent circuit model in time domain. In order to evaluate the methodology, an experimental and numerical investigation of the layer discretisation, iron core influence, and accuracy of the proposed methodology is performed. The comparison of numerical results with measurements confirms the validity of the methodology.

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Section: Adaptive Cross-approximationmentioning

confidence: 99%

Evaluation of Methodology for Lightning Impulse Voltage Distribution over High-Voltage Windings of Inductive Voltage Transformers

et al. 2021

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“…Therefore, it is necessary to calculate the transformer electric field and ensure that it does not exceed permitted values and redesign the parts in which it does. Charge simulation method [1,2], finite element method (FEM) [3][4][5] and boundary element method (BEM) [6][7][8][9] can be used for the computation of the electric field. Additionally, transformers can be, during their operation, exposed to transient overvoltages which could cause insulation breakdown.…”

Section: Introductionmentioning

confidence: 99%

Fast computation of electric field and capacitance matrix of transformer windings with boundary element method and adaptive cross approximation

Drandić

Trkulja

2019

IET Electric Power Applications

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Accurate and fast computation of electric fields is of great interest in transformer design. This article presents a fast and precise method of computation of electric field of transformer windings based on the boundary element method and integral equations approach. Additionally, computation of the capacitance matrix of a transformer geometry is presented. Proposed methodology depends on the knowledge of the transformer geometry. Improvement in computational costs and memory requirements of the developed electrostatic solver is achieved by implementation of the adaptive cross approximation algorithm. Results are benchmarked against commercial software based on the finite element method and applicability of the developed solver is proven.

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Transformer capacitance matrix computation using 3D boundary element method and adaptive cross approximation

Drandić

Trkulja

2019

Int J Numerical Modelling

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In this paper, a solver based on a 3D boundary element method (BEM) is presented and verified on a transformer geometry. Using a triangular surface mesh of a winding, the unknown charge distribution is found from known potentials of surfaces using the integral equation approach and point matching. The capacitance matrix is calculated from known potentials in nodes of the system. The application of BEM and point‐matching results in a fully populated system matrix. Therefore, a matrix reduction technique adaptive cross approximation (ACA) is employed in order to reduce the CPU time and memory requirements. Both the accuracy of the direct and the accuracy of the ACA approach are benchmarked against the results obtained using the professional finite element method (FEM)‐based software.

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Computation of electric field inside substations with boundary element methods and adaptive cross approximation

Cited by 5 publications

References 25 publications

Evaluation of Methodology for Lightning Impulse Voltage Distribution over High-Voltage Windings of Inductive Voltage Transformers

Evaluation of Methodology for Lightning Impulse Voltage Distribution over High-Voltage Windings of Inductive Voltage Transformers

Fast computation of electric field and capacitance matrix of transformer windings with boundary element method and adaptive cross approximation

Transformer capacitance matrix computation using 3D boundary element method and adaptive cross approximation

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