Distributed on-chip power grid modeling: an electromagnetic alternative to RLC extraction-based models

A methodology is presented for on-chip power grid modeling with uncompromised electromagnetic accuracy. The proposed methodology avoids the painstaking and error-prone process of power grid inductance extraction. Furthermore, the model is developed directly from the differential form of Maxwell's equations, and thus avoids the dense-matrix issues that arise when PEEC-based electromagnetic models are utilized. Finally, it has the unique attribute that, in addition to providing for on-chip power switching modeling with electromagnetic accuracy it enables the direct modeling of distributed power-grid induced electromagnetic interference.