Development of mutual inductance formula for misaligned planar circular spiral coils
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Bibliographic record
Abstract
The mutual inductance, M, is a key figure of merit in all magnetically coupled systems, but it plays an especially crucial role in the design of loosely coupled coils used in inductive power transfer (IPT) systems. This paper presents a new closed form expression for the mutual inductance of planar circular spiral coils also known as Archimedean coils. This new expression, which is derived using the magnetic vector potential, accounts for both coil-to-coil separation and axial misalignment distances. In what follows, the analytical formulation is first presented. Next, MATLAB is used to evaluate the resulting expression over a wide range of separation and misalignment distances and corresponding plots are obtained. Finally, a physical prototype is built, tested, and its measured mutual inductance is compared against the previously obtained analytical results.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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