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Task 2: Modeling and Simulation of Conducted and Radiated EMI from HPM and UWB Sources on PCBs and ICs

June 2002. Accurately

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Task 2: Modeling and Simulation of Conducted and Radiated EMI from HPM and UWB Sources on PCBs and ICs

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    1. June 2002 1 Task 2: Modeling and Simulation of Conducted and Radiated EMI from HPM and UWB Sources on PCBs and ICs A. C. Cangellaris and E. Michielssen ECE Department Center for Computational Electromagnetics University of Illinois at Urbana-Champaign

    2. June 2002

    3. June 2002 Major Obstacle: Tackling System Complexity

    4. June 2002 EM Complexity Geometric complexity and distributed nature of the packaging hierarchy (“coupling path”) Broad frequency bandwidth of the interfering signal Non-linearity of the terminations Tackling Complexity Hierarchical approach to the modeling of electromagnetic interactions From lumped models, to transmission-line models, to quasi-3D full-wave models, to 3D full-wave models Abstracting Complexity Systematic order reduction of numerical models of the coupling path Equivalent circuit representation of the coupling path for its seamless incorporation in network-oriented non-linear circuit simulators System Complexity translates to EM Complexity

    5. June 2002

    6. June 2002 Specific Subtasks Task 2.1 Development of a coupling path modeling methodology Task 2.2 Development of a (EMI) source modeling methodology Task 2.3 Non-linear Transient Simulation of the hybrid lumped-distributed non-linear network

    7. June 2002 Subtask 1: Modeling of the Coupling Path

    8. June 2002 Our modeling approach is hierarchical EM-Physics driven “divide and conquer” approach Use suitable EM modeling approach for individual blocks RLC models for short interconnect at chip & package level Multi-conductor Transmission Lines (MTL) Balanced interconnects at the board level Quasi-3D EM Modeling for PCB power delivery network Full-wave modeling Unbalanced interconnects at the board level Coupling through cables RF/microwave packages & boards Reduction of EM models to non-linear network simulator (e.g. SPICE) Direct model order reduction Equivalent circuit synthesis Subtask 1: Modeling of the Coupling Path (Cont)

    9. June 2002 Block Diagram of EM Modeling Flow

    10. June 2002 Quasi-3D Modeling of Power Delivery Network

    11. June 2002 The resulting discrete EM model

    12. June 2002 Multi-port representation of the reduced-order model is in terms of rational functions Form compatible with circuit simulators that support rational function models (e.g. H-Spice, ADS) Equivalent circuit synthesis is possible also

    13. June 2002 Passive synthesis through Foster forms

    14. June 2002 Equivalent circuit for a two-port

    15. June 2002 Two-port sub-circuit for use in H-SPICE

    16. June 2002 The advantages of the direct use of the rational function macro-model in the simulator

    17. June 2002 Application to a 4-layer PCB

    18. June 2002 Application to a 4-layer PCB (cont’d)

    19. June 2002 Validation study in progress

    20. June 2002 Samples of the generated mesh

    21. June 2002 Generated multi-port for switching noise simulation in SPICE

    22. June 2002 Rational function multi-port & equivalent circuit synthesis from raw data Data either from measurements or EM field solvers Step 1: Rational function fitting Process guarantees stability but not passivity Check fitted multi-port for passivity If not passive, constrain fitting using Foster constraints Repeat fitting

    23. June 2002 Validation of rational function fitting

    24. June 2002 Validation of fitting (cont’d)

    25. June 2002 EM modeling flow for the coupling path established Quasi-3D EM Model for power delivery network completed Validation in progress Further enhancements include: Incorporation of hooks for balanced MTLs Incorporation of hooks for matrix transfer functions in Foster form Capability for SPICE-compatible broadband multi-port macro-model generation in place Task 2.1 Summary

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    37. June 2002 Analysis of Active Nonlinear Microwave Amplifier

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    39. June 2002 MOT results*

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