Capacitance computation in symmetric multiconductor systems

A systematic procedure is presented for efficient computation of the capacitance matrix of complex 3D multiconductor systems exhibiting symmetry properties with respect to p (1, 2 or 3) orthogonal planes. The procedure is based on the decomposition of the whole system into a set of elementary symmetric subsystems, in such a way that the capacitance matrix is obtained by computing each auto or mutual submatrix independently. The procedure is intended to drive an underlying numerical code (FEM or BEM) able to perform the electrical field analyses required. Explicit formulas for the boundary conditions or Green´s functions, as well as for the capacitances, are given in terms of the symmetry properties of the system. A specific case of application is also shown