Balancing-Based Model Reduction for Fast Power Integrity Verification

This paper presents a novel Model Order Reduction approach as an extension of the well-known Balanced Truncation. The key contribution is a semi-analytical approach for the numerical evaluation of the Gramian matrices that are functional for optimal reduction of large-scale state-space systems. Application to product-level full-system Power Distribution Networks including integrated voltage regulation circuitry allows transient verification in more than 200× faster than SPICE.