VALIDATION · WE SHOW OUR WORK
IEEE BENCHMARKS
14 REFERENCE CASES
Δ ≤ 5 % — ENFORCED

Every number, traceable.

AirInduct Sim ships with a frozen benchmark suite drawn from the foundational papers of wireless power transfer. Each release is gated against a delta of ±5 % on every case — if accuracy drifts, the build doesn't go out.

01. · How we keep the solver honest

No mesh, no convergence

We integrate Biot–Savart directly. There is no FEM mesh to refine, no relaxation parameter to tune, no sweep over element order. The same input always returns the same output.

Closed-form where possible

Self-inductance uses Grover's 1946 closed-form formulae for square and rectangular coils, and complete elliptic integrals (K and E kinds) for circular ones. Numerical integration only enters for arbitrary geometries.

Reproducible benchmarks

Every release runs against a frozen test set of 14 reference cases drawn from the four foundational papers below. A delta of more than 5 % blocks the build.

No black boxes

There are no surrogate models, neural nets or curve fits in the solver path. Every output traces back to a closed-form integral or its standard numerical reduction.

02. · Reference benchmark set
1946

Grover · Inductance Calculations

Self-inductance ground truth for circular and rectangular coils.

BENCHMARK
Self-L on 8 reference coils
OUR Δ
±2 %
2007

Kurs et al. · Wireless Power Transfer via Strongly Coupled Magnetic Resonances

Landmark Science paper introducing strongly-coupled magnetic resonance.

BENCHMARK
k(d) at 9.9 MHz, k = 0.30
OUR Δ
±5 %
2008

Babic & Akyel · Calculating Mutual Inductance of Circular Coils

Coaxial mutual-inductance benchmark for arbitrary spacing.

BENCHMARK
M(d) over 14 configurations
OUR Δ
±1–2 %
2013

Covic & Boys · Inductive Power Transfer

LCC-LCC matching network reference at 85 kHz.

BENCHMARK
k & efficiency in EV-pad geometry
OUR Δ
±3 %
03. · Reproduce it yourself

Every benchmark case ships with the simulator. From the dashboard, open Library → Validation suite and pick a case. The original paper, the published reference value, our simulated value and the delta render side-by-side.

Academic users get unlimited access to the suite under our research programme — email research@airinductsim.com with your affiliation.

Run the benchmarks.