WPT compensation network calculator
Enter the coils, coupling, frequency and the DC voltages on each side; the compensation component values and the operating point appear as you type. Ideal square-wave inverter, ideal rectifier, first-harmonic analysis.
Type a value to override it and see the operating point move — the drive voltage and the load stay fixed, so detuning shows up as a change in delivered power.
| Quantity | Calculated | |
|---|---|---|
| Vin_acinverter fundamental, RMS | 90.032 V | |
| Mmutual inductance | 25.00 µH | |
| ItxTx coil current, RMS | 3.237 A | |
| IrxRx coil current, RMS | 6.743 A | |
| IoutDC output current | 6.071 A | |
| VoutDC output voltage | 48.000 V | |
| Poutdelivered power | 291.402 W | |
| R_loadDC load, Vout²/Pout | 7.907 Ω | |
| R_acAC-equivalent load, 8·R_load/π² | 6.409 Ω | |
| ηideal — lossless by assumption | 100.0000 % |
inverse solve: linear · 1 iterations · residual 1.4e-16
- Ideal assumptions: zero coil/compensation ESR, zero rectifier diode drop, first-harmonic (FHA) analysis. Efficiency is therefore 100 % by construction — it is a consistency check on the assumptions, not a prediction.
Opens a design session pre-filled with these constraints — coil losses, part selection, stress and simulation. Requires sign-in.
Assumptions
- Ideal full-bridge inverter: a square wave whose fundamental RMS is Vin_ac = (2√2/π)·Vin_dc.
- Ideal rectifier with a capacitive output: zero diode drop, AC-equivalent load R_ac = 8·R_load/π².
- Zero ESR on the coils and the compensation elements — efficiency is therefore 100 % by construction.
- First-harmonic approximation (FHA): only the fundamental is carried through the tank.
Formulas
How the power is found
The underlying engine is built the other way round: you give it a power and it returns the bus voltage that power needs. This page inverts that numerically — it searches for the power at which the required bus voltage equals the Vin you entered, refining with a bracketed secant method to a relative residual below 1e-10. Every component value, current and efficiency shown above comes straight from the engine at the converged point, so there is exactly one source of truth.
Note that SS behaves as a gyrator (output current is set by Vin, so power falls as coupling rises), while LCC-S fixes the voltage ratio instead — for LCC-S the power is an independent input, not something Vin and Vout determine.