PEEC methods in 2D signal line modeling for mid-frequency on-chip power supply noise simulations

In this paper a 2D signal line model is used to simulate the power distribution network (PDN). The proposed method uses an admittance function to model the frequency-dependent resistance and inductance in each direction. This admittance function can be gained directly by model order reduction from a partial element equivalent circuit (PEEC) model. Hence, it is possible to efficiently calculate the model parameters even for irregular PDNs. A fast transient simulation algorithm closely related to the finite-difference time-domain (FDTD) schemes is presented. The alternating-direction-implicit (ADI) method relaxes the time step for the simulation, because it is not limited by a stability criterion.