Vertical Current Simulation via Linear Prism Subsections
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Current methods for simulating current distribution in complex circuits within shielded multi-layered media are time-consuming and computationally intensive, requiring a large number of subsections to achieve accurate results, which leads to prolonged design times and increased costs.
Innovation Solution
The method involves dividing the circuit into rectangular prism subsections with linearly changing current, allowing for a reduction in the number of subsections by a factor of approximately 6.6, thereby reducing numerical complexity and simulation time significantly, using tapered vias to model vertical current distribution more efficiently.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If traditional simulation methods are used to model vertical current distribution, then measurement precision is maintained, but analysis time increases significantly and computational complexity increases
Solution Approach 1:
The patent changes the current distribution model from piecewise constant to linearly varying along the via structure. This parameter change in the mathematical representation allows for more accurate current distribution modeling while reducing the number of subsections needed, thereby decreasing analysis time from hours to minutes while maintaining precision.
Solution Approach 2:
The patent segments the via structure into rectangular prism subsections with linearly varying current, rather than using traditional fine-grained constant current subsections. This segmentation approach with linear variation captures the physical reality of current distribution more efficiently, reducing the total number of subsections required and thus reducing computational time while preserving accuracy.
2Measurement precision
If traditional simulation methods are used to model vertical current distribution, then measurement precision is maintained, but numerical complexity increases
Solution Approach 1:
The patent changes the current distribution parameter from piecewise constant to linearly varying, which simplifies the mathematical model. This parameter change reduces numerical complexity by requiring fewer subsections to achieve the same accuracy, as the linear variation naturally captures the current behavior at via transitions without requiring excessive discretization.
Solution Approach 2:
The patent uses a coarser segmentation with linear current variation within each rectangular prism subsection. This segmentation strategy reduces the total number of subsections needed compared to traditional fine-grained constant current models, thereby reducing numerical complexity while maintaining the ability to accurately represent vertical current distribution through the multi-layered structure.
3Productivity
If fewer subsections are used to reduce computation time, then productivity increases, but measurement precision deteriorates
Solution Approach 1:
The patent changes the current distribution parameter to linearly varying within each subsection, which allows for more accurate representation of the physical current behavior. This parameter change enables the use of fewer subsections while maintaining measurement precision, as the linear variation captures the essential current distribution characteristics that would otherwise require many more fine-grained constant current subsections to represent accurately.
Solution Approach 2:
The patent employs a segmentation strategy using rectangular prism subsections with linear current variation, which provides higher accuracy per subsection compared to traditional constant current models. This segmentation approach allows for reduced total subsection count (improving productivity) while maintaining current distribution accuracy, because each subsection's linear model better represents the underlying physics with fewer elements.
Data Source
AI summary
A computer-implemented method of simulating a vertically-oriented current distribution of current flowing through a plurality of layers of one or more three-dimensional conductors embedded in a shielded multi-layered dielectric includes the steps of dividing portions of the circuit into subsections, the portions containing z-directed current into rectangular prisms; independently modeling a current distribution within each subsection, and, specifically, within the rectangular prisms, independently modeling a basis function of linearly changing or uniform current along the z-axis; independently determining the fields resulting from such assumed basis functions; determining a voltage induced by such determined fields, corresponding to a transfer impedance or transfer admittance of the subsection; and calculating a current distribution in one or more conductors according to the transfer impedance or transfer admittance of each subsection and an assumed voltage across each subsection.