Circuit model extraction in digital and RF circuits using the partial element equivalent circuit (PEEC) method

This dissertation discusses four topics relevant to power integrity and design, numerical modeling, and characterization and modeling of MEMS switches. The first topic deals with power bus noise due to transient currents. An approach to estimate the power bus noise caused by digital circuits injecting high-frequency noise onto the DC buses, which power digital devices, is proposed. The transient current drawn by an IC device is modeled using the load current and the shoot-through current. With the modeled transient current and the power bus impedance, the power bus noise is then estimated. The utility of the approach is demonstrated for EMC design.;The second topic proposes a fast approach to model multi-layer power delivery networks with cavity models. Using a Tchebyshev expansion, the computational time for cavity model can be reduce significantly. Furthermore, an equivalent circuit is developed using resonator models in series with an inductor. The fast approach has been successfully applied to analyze multi-layer power distribution networks with arbitrary shape.;The third topic deals with the numerical modeling problems of signal discontinuity structures. Fast evaluation methods of the PEEC circuit elements are proposed to enhance the non-orthogonal PEEC method. The proposed approach has been successfully applied to model complex signal discontinuity structures with a reduction of the computational time.;The last section of this dissertation presents analysis and designs of the PWB-based MEMS switches using lumped circuit models. Several lumped circuit models are proposed and used to develop some design guidelines for MEMS switches.