Geometric Multi-Grid Thermal Modeling for Semiconductor Chip Designs
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Solution Overview
Problem
Conventional thermal analysis tools for semiconductor chip designs assume a uniform temperature, leading to inaccurate modeling and resource-intensive computational methods that are not feasible for full-chip thermal gradient analysis.
Innovation Solution
A method and apparatus using a geometric multi-grid technique to calculate and model full-chip temperatures, providing accurate thermal gradient analysis by partitioning steep temperature gradients and accounting for power dissipation in semiconductor devices and interconnects, thus avoiding the need to build a problem matrix.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Device complexity
If conventional thermal analysis tools assume uniform temperature, then device complexity is reduced, but measurement precision of thermal gradients deteriorates
Solution Approach 1:
The chip is divided into multiple thermal zones or regions, each with its own temperature characteristics. This segmentation allows the system to capture thermal gradients without requiring a uniformly complex model across the entire chip, thus maintaining manageable device complexity while improving measurement precision.
Solution Approach 2:
Different regions of the chip are modeled with different levels of thermal detail based on their specific thermal characteristics and importance. Critical regions with steep gradients receive more detailed modeling, while less critical regions use simplified models, optimizing the balance between complexity and precision.
2Ease of manufacture
If generic thermal modeling methods are used, then ease of manufacture is improved, but manufacturing precision of thermal analysis deteriorates
Solution Approach 1:
The modeling approach uses adjustable parameters that can be tuned based on the specific chip design and thermal characteristics. This allows the same general methodology to be applied across different chips (ease of manufacture) while achieving accurate results for each specific case (manufacturing precision) by modifying parameters rather than the fundamental approach.
3Measurement precision
If computationally complex simulation methods are used, then measurement precision of full-chip temperatures is improved, but productivity of thermal analysis deteriorates
Solution Approach 1:
The full-chip thermal analysis is segmented into multiple smaller, independent calculations for different regions or layers. This allows parallel processing and reduces the computational burden of any single calculation, improving productivity while maintaining overall precision through the aggregation of regional results.
Solution Approach 2:
The method performs thermal analysis at selective locations and depths rather than attempting exhaustive full-3D analysis everywhere. By focusing computational resources on critical regions where thermal gradients are steepest or most impactful, the system achieves sufficient precision for design decisions without the prohibitive cost of complete exhaustive analysis.
4Measurement precision
If resource-intensive computational methods are used, then measurement precision of thermal gradients is improved, but loss of energy increases
Solution Approach 1:
High-precision thermal gradient calculations are performed only in regions where they are most needed (areas with significant power dissipation or thermal sensitivity), while other regions use less computationally intensive methods. This local differentiation reduces overall energy consumption while maintaining measurement precision where it matters most.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This approach enables more accurate and computationally efficient thermal modeling, reducing the risk of chip failure and material wastage by providing precise temperature data for performance assessment.
Implementation Method 1
modeling the full-chip temperatures in accordance with a geometric multi-grid technique... determining temperatures within the semiconductor chip design based at least in part on the physical attributes or geometry of the design
Implementation Method 2
accounting for power dissipation in semiconductor devices and interconnects... The resultant designs thus do not always conform to the design standards or parameters
Data Source
AI summary
A method and apparatus for modeling and thermal analysis of semiconductor chip designs is provided. One embodiment of a novel method for performing thermal testing of a semiconductor chip design includes calculating full-chip temperatures over the semiconductor chip design (e.g., to identify steep thermal gradients) and modeling the full-chip temperatures in accordance with a geometric multi-grid technique. The geometric multi-grid technique is tailored to determine temperatures within the semiconductor chip design based at least in part on the physical attributes or geometry of the design.