Resources for PDN simulation

[corecode]

My goal is to eventually develop PDN simulation for KiCad. This topic collects resources that are relevant.

Circuit Extraction Techniques

FEM-SPICE (Circuit Oriented FEM)

• Full wave FEM analysis of electrical circuits using circuit elements
• Circuit-Oriented FEM: Solution of Circuit–Field Coupled Problems by Circuit Equations
• Circuit Models for Power Bus Structures on Printed Circuit Boards Using a Hybrid FEM-SPICE Method
• Using the LU Recombination Method to Extend the Application of Circuit-Oriented Finite Element Methods to Arbitrarily Low Frequencies
• Use of the Finite Element Method for the Modeling of Multi-Layered Power/Ground Planes with Small Features

PEEC

• Non-orthogonal 2.5D PEEC for Power Integrity Analysis / Nonorthogonal 2.5-D PEEC for Power Integrity Analysis of Package-Board Geometries*
• FFT-PEEC: A Fast Tool From CAD to Power Electronics Simulations, with implementation on Github

CEMPIE

• Arbitrarily shaped microstrip structures and their analysis with a mixed potential integral equation | IEEE Journals & Magazine | IEEE Xplore
• Modeling multilayered PCB power-bus designs using an MPIE based circuit extraction technique | IEEE Conference Publication | IEEE Xplore
• Modeling DC power-bus structures with vertical discontinuities using a circuit extraction approach based on a mixed-potential integral equation | IEEE Journals & Magazine | IEEE Xplore
• Modeling multilayered PCB power-bus designs using an MPIE based circuit extraction technique | IEEE Conference Publication | IEEE Xplore

Finite Difference

• Efficient Broadband Circuit-Modeling Approach for Parallel-Plane Structures of Arbitrary Shape

Other

Contour Integral Method

• Extension of the Contour Integral Method for the Electrical Design of Planar Structures in Digital Systems

• Generalized Kirchoff’s current and Voltage law formulation for coupled circuit-electromagnetic Simulation with surface Integral equations

Boundary Integration

• Can compute impedance matrix, but no full circuit extraction, nor full field computation. Possibly only works for low dielectric height and contiguous ground plane.

References:

• Efficient 2-D Integral Equation Approach for the Analysis of Power Bus Structures With Arbitrary Shape | IEEE Journals & Magazine | IEEE Xplore
• Quasi-Static Inductance of Vertical Interconnections in Parallel-Plane Structures | IEEE Journals & Magazine | IEEE Xplore
• Boundary-Element Method for the Calculation of Port Inductances in Parallel-Plane Structures | IEEE Journals & Magazine | IEEE Xplore
• Efficient DC and AC Impedance Calculation for Arbitrary-shape and Multi-layer PDN Using Boundary Integration
• On the Accuracy of Cross-Talk Modeling in High-Speed Digital Circuits Using the Accelerated Boundary Element Method | IEEE Conference Publication | IEEE Xplore

Validation

• 1597.2-2010 - IEEE Recommended Practice for Validation of Computational Electromagnetics Computer Modeling and Simulations | IEEE Standard | IEEE Xplore

To investigate

• Inductance extraction for physics-based modeling of power net area fills with complex shapes and voids using the plane-pair PEEC method | IEEE Conference Publication | IEEE Xplore
• A Novel System-Level Power Integrity Transient Analysis Methodology using Simplified CPM Model, Physics-based Equivalent Circuit PDN Model and Small Signal VRM Model | IEEE Conference Publication | IEEE Xplore
• https://web.archive.org/web/20041030041456id_/http://babel.ssu.ac.kr:80/paper/Tap2004.pdf
• Inductance Extraction for PCB Prelayout Power Integrity Using PMSR Method | IEEE Journals & Magazine | IEEE Xplore
• An efficient approach for power delivery network design with closed-form expressions for parasitic interconnect inductances | IEEE Journals & Magazine | IEEE Xplore
• https://scholarsmine.mst.edu/cgi/viewcontent.cgi?article=1861&context=ele_comeng_facwork
• Physics-Based Circuit Modeling Methodology for System Power Integrity Analysis and Design | IEEE Journals & Magazine | IEEE Xplore
• Formulation and Network Model Reduction for Analysis of the Power Distribution Network in a Production-Level Multilayered Printed Circuit Board | IEEE Journals & Magazine | IEEE Xplore