Title :
New developments on the combined application of charge simulation and numerical methods for the computation of electric fields
Author :
Hoffmann, J.N. ; Pulino, P.
Author_Institution :
Companhia Paranaense de Energia, Parana, Brazil
fDate :
4/1/1995 12:00:00 AM
Abstract :
A new mathematical treatment is proposed to the hybrid method of charge simulation and finite differences for the computation of electric fields, entirely applicable to the similar hybrid method of charge simulation and finite elements. The resulting system of linear equations is solved by making use of the fixed point theory, the QR decomposition (by using the modified Gram-Schmidt method) and the conjugate gradients squared method with a preconditioning technique. New procedures are suggested for the discretization of the boundary conditions, which lead to results with higher precision. Case studies are included
Keywords :
digital simulation; electric charge; electric fields; electrical engineering computing; finite difference methods; finite element analysis; linear algebra; QR decomposition; boundary conditions discretization; charge simulation; electric fields; finite differences; finite elements; fixed point theory; gradients squared method; hybrid method; linear equations; modified Gram-Schmidt method; numerical methods; precision; preconditioning technique; Application software; Computational modeling; Dielectrics; Equations; Finite difference methods; Finite element methods; IEEE members; Least squares methods; Linear systems; Numerical simulation;
Journal_Title :
Power Delivery, IEEE Transactions on
