Low-Order Electroquasistatic Field Simulations Based on Proper Orthogonal Decomposition

A model reduction technique based on the proper orthogonal decomposition is applied to a finite-element formulation of the electroquasistatic field equation. The presented formulation takes into account dielectric effects as well as nonlinear conductive effects. The implementation is based on a 2-D axial symmetric model. The applied proper orthogonal decomposition is based on the singular value decomposition. Numerical results are shown for an axial-symmetric high-voltage surge arrester consisting of constant and nonlinear conductive material.

[1]  K. Preis Numerical computation of transient quasistatic electric fields , 2002 .

[2]  D. Sorensen,et al.  Approximation of large-scale dynamical systems: an overview , 2004 .

[3]  M.N. Albunni,et al.  Model-Order Reduction of Moving Nonlinear Electromagnetic Devices , 2008, IEEE Transactions on Magnetics.

[4]  Massimo Vitelli,et al.  A Galerkin model to study the field distribution in electrical components employing nonlinear stress grading materials , 1999 .

[5]  P. Astrid,et al.  On the Construction of POD Models from Partial Observations , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[6]  G. Benderskaya,et al.  Transient electro-quasistatic adaptive simulation schemes , 2004, IEEE transactions on magnetics.

[7]  H. K. Dirks,et al.  Quasi-stationary fields for microelectronic applications , 1996 .

[8]  Thomas Weiland,et al.  Simulation of low-frequency fields on high-voltage insulators with light contaminations , 1996 .

[9]  Hermann A. Haus,et al.  Electromagnetic Fields And Energy , 1989 .

[10]  L. Trefethen,et al.  Numerical linear algebra , 1997 .

[11]  E. Hairer,et al.  Solving Ordinary Differential Equations I , 1987 .

[12]  H. P. Lee,et al.  PROPER ORTHOGONAL DECOMPOSITION AND ITS APPLICATIONS—PART I: THEORY , 2002 .

[13]  S. Sanghi,et al.  Proper orthogonal decomposition and its applications , 2011 .

[14]  M. Clemens,et al.  Design of ZnO microvaristor material stress-cone for cable accessories , 2011, IEEE Transactions on Dielectrics and Electrical Insulation.

[15]  P. Holmes,et al.  Turbulence, Coherent Structures, Dynamical Systems and Symmetry , 1996 .

[16]  T. Steinmetz,et al.  Electro-quasistatic field simulations based on a discrete electromagnetism formulation , 2006, IEEE Transactions on Magnetics.