A GAUGED A, V-A-PSI FORMULATION WITHOUT A.N=0 ON CONDUCTOR BOUNDARIES

In the present paper a new A,V-A-psi formulation for transient quasi-s tatic eddy current problems using V = 0, instead of A.n=0, on conducto r boundaries is proposed. This choice appears to be advantageous for t he finite element solution of problems without any symmetry plane or i nvolving curved boundaries, even though unsuitable if the fields chang e very slowly. The differential formulation is carefully defined; the ways in which the . Coulomb gauge is imposed and the existence and the uniqueness of the solution are discussed. A new method to obtain the symmetry of the final algebraic system is introduced. This symmetrisat ion technique leads to an indefinite system of algebraic equations wit h a peculiar structure, that led to the development of a special solve r. The results are extremely encouraging, because the formulation is b ased on thorough theoretical basis, and it is fairly easy to impose th e conditions on conductor boundaries.