Workflow Overview
Step 1: Field-Theoretical Analysis
Transform 3D geometry into electromagnetic field model and identify relevant phenomena through eigenmode analysis.
Step 2: Circuit Model Construction
Transform reduced field model into equivalent circuit with extracted parameters and validated accuracy.
Interactive Workflow
Interactive Demo
Demo Controls
Demo Output
Click "Run Demo" to see the workflow in action
Theoretical Foundations
Maxwell's Equations
Foundation of electromagnetic field theory describing all electromagnetic phenomena.
• Gauss's Law
• Faraday's Law
• Ampère's Law
• Gauss's Law for Magnetism
Eigenmode Analysis
Spectral decomposition to identify and separate relevant electromagnetic phenomena.
• Eigenvalue problems
• Spectral theory
• Mode relevance filtering
• Frequency domain analysis
Energy Conservation
Energy-based mapping between electromagnetic fields and circuit parameters.
• Magnetic energy ↔ Inductance
• Electric energy ↔ Capacitance
• Dissipated energy ↔ Resistance
• Energy conservation validation
Graph Theory
Mathematical foundation for circuit topology and connectivity representation.
• Node-edge relationships
• Circuit topology optimization
• Connectivity matrices
• Graph algorithms
Darwin's Model
Quasistatic approximation bridging field theory and circuit theory.
• Second-order approximation
• Same phenomena as circuits
• Theoretical consistency
• Bridge between domains
Validation Framework
Comprehensive validation ensuring model accuracy and physical consistency.
• Energy conservation checks
• Passivity enforcement
• Reciprocity verification
• Convergence analysis
Applications
EMC Analysis
Detection of coupling paths in complex 3D structures for electromagnetic compatibility studies.
Power Electronics
Parasitic effect modeling and efficiency optimization for power electronic components.
Multi-domain Simulation
Integration with thermal and mechanical models for comprehensive system analysis.
Design Optimization
Rapid evaluation of design variants and automated optimization processes.