Adaptive Mesh Resolution for Power-Ground Plane Simulation
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Solution Overview
Problem
Current methods for simulating power/ground plane pairs in electric circuits require a large number of mesh cells to model complex shapes, leading to significant computational overhead and increased simulation time, which hinders efficient power integrity analysis.
Innovation Solution
An adaptive mesh with variable-sized cells is created, where smaller cells are used in irregular regions and larger cells in uniform regions, allowing for accurate modeling of plane transmission line characteristics and regional modal resonances with reduced computational requirements.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If a uniform mesh of cells is used to model complex shapes of power/ground plane pairs, then the entire PGPP model can be populated to accommodate complex boundaries, but an extremely large number of cells are needed leading to prohibitive computational overhead
Solution Approach 1:
The patent applies local quality by using non-uniform mesh spacing where finer mesh resolution is applied in regions with complex boundaries and larger mesh spacing is used in uniform regions. This allows accurate modeling of complex shapes while reducing the total number of cells and computational overhead compared to a uniform mesh approach.
Solution Approach 2:
The patent segments the power/ground plane pair model into multiple regions with different mesh densities. By dividing the model into zones requiring different levels of detail, the approach achieves accurate representation of complex boundaries only where necessary, thereby reducing overall computational complexity while maintaining modeling precision.
2Measurement precision
If a large number of mesh cells are used to accurately model irregular regions, then modeling precision is improved, but simulation time increases significantly
Solution Approach 1:
The patent implements local quality through adaptive mesh refinement that concentrates computational resources in irregular regions requiring higher precision for accurate frequency response analysis, while using coarser mesh in uniform regions. This selective approach maintains modeling accuracy where needed while significantly reducing total simulation time compared to uniform fine-mesh approaches.
3Ease of manufacture
If uniform mesh spacing is used throughout the PGPP model, then implementation is simplified, but an extremely large number of cells are required to capture regional modal resonances
Solution Approach 1:
The patent applies local quality by implementing variable mesh spacing that adapts to regional characteristics of the power/ground plane pair. This allows the model to use fewer cells in uniform regions while maintaining adequate resolution in irregular regions, thereby reducing the total quantity of mesh cells needed while preserving the ability to capture regional modal resonances.
Data Source
AI summary
An adaptive mesh of virtual nodes is provided to analyze the performance of a power/ground plane pair having an irregular shape. Plane transmission line characteristics and regional modal resonances can be modeled accurately, and with a significant decrease in simulation time as compared to traditional methods. A variable-sized cell structure is constructed with smaller cells in irregular regions and with larger cells in uniform regions. Grid nodes may thus stay aligned along length and width to allow parameters of equivalent circuit models to be scaled appropriate to the cell size.