Abstract
A method of calculating inductances based on first principles is presented, which has the advantage over the more popular simulators in that fundamental formulas are explicitly used so that a deeper understanding of the inductance calculation is obtained with no need for explicit discretization of the inductor. It also has the advantage over the traditional method of formulas or table lookups in that it can be used for a wider range of configurations. It relies on the use of fast computers with a sophisticated mathematical computing language such as Mathematica to perform the required integration numerically so that the researcher can focus on the physics of the inductance calculation and not on the numerical integration.
Highlights
Inductors are used to provide filtering or energy storage within many types of electrical systems
With the use of modern high speed computers that use sophisticated mathematical computing languages, the numerical integration is tractable and so inductances can be computed using first principles, using a multi-functional computational program that may already be available to the user
The workings of the numerical integration are performed by the computational program, and so there is no need for the user to become an expert in sophisticated numerical integration techniques or in methods for discretizing the geometry
Summary
Inductors are used to provide filtering or energy storage within many types of electrical systems They are often coiled conductors whose time changing currents induce voltages either in the conductor itself or nearby conductors. While FastHenty is open-sourced, the cost of Ansys Maxwell or other tools may be beyond the user’s means For these tools, the user is unlikely to be familiar with their algorithms, so the researcher is less likely to develop an understanding of the fundamentals of inductance calculations; an additional discretization of the inductor may be needed. We studied a method that uses the computational program Mathematica [6] to determine inductances
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