Efficient method for frequency dependent inductance and resistance calculations

An efficient approach is presented to calculate the inductance and resistance matrices for three-dimensional multiconductor structures. The proposed approach, based on the partial element equivalent circuit method, calculates the inductance and resistance matrices in two stages. In the first stage, each conductor is considered separately. The conductor is discretized into thin filaments and then the filaments are assembled into the desired equivalent impedance matrix using network theory. The mesh analysis is then used to solve for the complex frequency-dependent impedance of the conductor. In the second stage, the whole structure is considered and is assembled into an equivalent impedance matrix by the network theory. The self inductance and resistance of each conductor obtained in the first stage are used in the impedance matrix. The mutual inductance between the conductors is estimated using the filament approximation. Then, the inductance and resistance matrices are obtained by the mesh analysis