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Modeling of Power Delivery Network (PDN) Jae Young Choi, and Madhavan Swaminathan

Objectives Computationally efficient and accurate modeling method for package PDN Automated decoupling capacitor selection and placement Power/Signal co-simulation. Accomplishments Developed multilayered-FEM (MFEM) Computationally efficient (speed, memory)

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Modeling of Power Delivery Network (PDN) Jae Young Choi, and Madhavan Swaminathan

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  1. Objectives Computationally efficient and accurate modeling method for package PDN Automated decoupling capacitor selection and placement Power/Signal co-simulation Accomplishments Developed multilayered-FEM (MFEM) Computationally efficient (speed, memory) Multi-dimensional problems (non-uniform mesh) Multi-layer structures Automated decoupling capacitor problems Combined genetic algorithm and MFEM Customized the algorithm for decap problems Developed a new method Multi-layer triangular element method (MTEM) SPICE compatible (Physics-based equivalent ckt) Very sparse system matrix (compared to MFEM) Modeling of Power Delivery Network (PDN) Jae Young Choi, and Madhavan Swaminathan 40 20 0 -20 4 50 … k Z11 (dB) 40 MTEM MFDM MFEM 3 … i 30 Z11 (dB) N 0 1 2 3 4 5 … 20 2 CST Recent results Target Impedance Future work • Incorporation of signal interconnects to PDN model for signal-power co-simulations 10 • Decap Optimizer After decap opt. 0 1 2 3 4 5 1 Frequency (GHz) • Frequency domain analysis of signal interconnects • MTEM • Creation of dual-graph mesh • Multi-layer structures • SPICE compatibility • Material characterization for high frequencies

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