An Adapted Cholesky Decomposition Method for the Solution of Coupled Magnetic‐electric Equations

A model coupling magnetic and electric equations is developed in this paper. The unknowns in this model are the magnetic vector potential and the mesh currents. The nature of the resulting matrix system does not permit the use of the classical Cholesky algorithm. A new decomposition, based on the Cholesky method, is introduced to solve it. To illustrate the efficiency of the method, an example of an iron core coil is modelled. Both calculation time and memory storage are compared with classical methods.