Numerical inductance calculations based on first principles.

Area of Science:

• Electrical Engineering
• Computational Physics

Background:

• Traditional inductance calculation methods often rely on approximations or numerical discretization, limiting understanding and applicability.
• Existing simulation tools may obscure the underlying physics of inductance calculation.

Purpose of the Study:

• To present a novel method for calculating inductances from first principles.
• To provide a deeper understanding of inductance calculation by explicitly using fundamental formulas.
• To offer a more versatile alternative to existing simulation software and traditional formula-based approaches.

Main Methods:

• Utilizes fundamental physics principles and mathematical formulas for inductance calculation.
• Employs numerical integration performed by sophisticated mathematical computing software (e.g., Mathematica).
• Avoids explicit discretization of the inductor geometry.

Main Results:

• Enables a more profound comprehension of inductance calculation physics.
• Demonstrates applicability to a wider range of inductor configurations compared to traditional methods.
• Frees researchers from focusing on numerical integration details to concentrate on the physics.

Conclusions:

• The presented method offers a powerful and insightful approach to inductance calculation.
• It enhances the understanding of electromagnetic principles through direct formula application.
• This technique provides a flexible and accurate alternative for diverse engineering and research applications.