Statistical Energy Matrix for Electromagnetic Field Modeling
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Solution Overview
Problem
Current methods for modeling electromagnetic fields in electrical systems are inefficient and unrealistic, particularly when dealing with short wavelength electromagnetic excitations, which can induce damaging electric currents in vehicles and structures, requiring extensive computational resources and remodelling upon small changes.
Innovation Solution
The approach involves approximating electromagnetic waves as ideal diffuse wave fields, allowing for more efficient and realistic analysis by determining statistical mean and maximum energy transmission between coupled cavities using an energy matrix, mean energy, and energy variance calculations.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If direct deterministic calculation is used to model electromagnetic fields, then measurement precision is improved, but device complexity and computational resources increase
Solution Approach 1:
The patent transitions from direct deterministic calculation to statistical energy-based parameters. Instead of solving Maxwell's equations directly, the invention uses energy matrices, mean energy, and energy variance to describe electromagnetic field behavior, fundamentally changing the mathematical parameters from field intensities to statistical energy measures.
Solution Approach 2:
The invention replaces the deterministic mechanical/mathematical system of direct electromagnetic field calculation with a statistical energy-based system. The complex deterministic field modeling is substituted with probabilistic energy transmission analysis between cavities, reducing computational burden while maintaining essential physical insights.
2Measurement precision
If direct deterministic calculation is used to model electromagnetic fields, then measurement precision is improved, but productivity decreases
Solution Approach 1:
The patent transitions from direct deterministic calculation to statistical energy-based parameters. Instead of solving Maxwell's equations directly, the invention uses energy matrices, mean energy, and energy variance to describe electromagnetic field behavior, fundamentally changing the mathematical parameters from field intensities to statistical energy measures.
Solution Approach 2:
The invention divides the electromagnetic space into discrete cavities with defined boundaries. By segmenting the continuous electromagnetic field problem into discrete cavity-to-cavity energy transmission problems, the system enables modular calculation using energy matrices, improving computational efficiency and productivity.
3Manufacturing precision
If detailed deterministic modeling is performed, then manufacturing precision is improved, but adaptability decreases
Solution Approach 1:
The patent transitions from direct deterministic calculation to statistical energy-based parameters. Instead of solving Maxwell's equations directly, the invention uses energy matrices, mean energy, and energy variance to describe electromagnetic field behavior, fundamentally changing the mathematical parameters from field intensities to statistical energy measures.
Solution Approach 2:
The invention creates a dynamic modeling framework where the energy matrix can be easily updated when cavity configurations change. Rather than remodeling the entire deterministic field, the system adapts by updating energy transmission parameters between cavities, enabling flexible response to design modifications.
Data Source
AI summary
Some embodiments include an apparatus for determining statistical mean and maximum expected of electromagnetic energy transmission between coupled cavities. Other embodiments of related apparatuses and methods are also disclosed.