Electroquasistatic quasi‐3D finite element simulation of a graded surge arrester

Abstract

Surge arresters of station class are equipped with field grading elements that break the rotational symmetry of the arrester body. To avoid a computationally expensive full three‐dimensional (3D) simulation, a quasi‐3D simulation procedure is presented to study graded arresters. The method employs a hybrid discretization combining a two‐dimensional (2D) axisymmetric finite element (FE) method in axial and radial direction with a spectral element method in terms of trigonometric functions in azimuthal direction. Furthermore, the asymmetric boundary conditions associated with the support rods are taken into account by collocation in a saddle‐point system of equations. The method is validated and compared with a standard 3D FE simulation of a test problem. It is, subsequently, applied to study the electric field distribution of a graded station class surge arrester.

Quasi-3-D spectral wavelet method for a thermal quench simulation

“…the 2-D mesh in the cross-section does not change. The method is derived for the 3-D heat equation ( 6) and on the domain defined in (7). The space for basis and test functions is…”

“…An alternative to the FE approach is based on a quasi-3-D method, that becomes applicable by exploiting the geometrical symmetry of the model [7,8]. Here, a 2-D FE method in the cross-section is combined with a 1-D spectral method [9] in the longitudinal direction.…”

“…In earlier works, harmonic functions [7] and orthogonal polynomials [8] have been used as basis functions for the spectral method. In this work, however, wavelets and the corresponding scaling functions are used as an alternative to these.…”

Quasi-3D Discretization of Thermal Hot-Spot Propagation in Superconducting Models

“…Similar approaches have been made e.g. in [11] for a geometry with translation symmetry using higher-order FE methods, and in [12]- [13] for cylindrical structures using a Fourier expansion in azimuthal direction.…”

Quasi-3-D Spectral Wavelet Method for a Thermal Quench Simulation

“…An alternative to the FE approach is based on a quasi-3-D (Q3D) method, that becomes applicable by exploiting the geometrical symmetry of the model [7,8]. Here, a 2-D FE method in the cross-section is combined with a 1-D spectral method [9] in the longitudinal direction.…”