A 2-dimensional finite-element method for transient magnetic field computation taking into account parasitic capacitive effects

A formulation to model solid conductor groups in transient finite-element model (FEM) of inverter driven motor drives is presented to facilitate the users to model many solid conductors in one winding. A novel two-dimensional (2-D) FEM formulation which can include the displacement current in the direction of the model's depth is deduced. The effect of displacement current in the plane of the solution domain is represented by coupling the circuit of capacitances into the FEM equations. By introducing additional unknowns, the last set of the system equations has a symmetrical coefficient matrix. A method using electric charge as an excitation to compute the capacitance matrix is also presented to reduce the computation time. The developed algorithm has been applied to evaluate the effect of a LC filter in a converter motor drive and the parasitic capacitive effect is included.