WPT Matching Network Designer

System Inputs

Frequency f (kHz)

Coupling k

Source V_s (V rms)

Source R_s (Ω)

Auto-calculate M from k

Coil Parameters

L₁ Primary (µH)

L₂ Secondary (µH)

M Mutual (µH)

ESR R₁ / R₂ (Ω)

Matching Component Quality

Inductor Q (series)

Capacitor Q

Max V on C (V peak)

Max I on L (A peak)

Q values model matching-element loss (ESR = X/Q series, Rp = Q·X shunt). Stress limits are used only for rating badges.

Source / Load Limits

Load R_L (Ω)

SS Tolerance (%)

Max Desired Q

Bandwidth points

Assumptions: sinusoidal steady state, resistive source/load, series-resonant secondary, coil ESR included. Matching Q adds element loss.

Physical Model

Coupled-coil model: V₁ = (R₁ + jωL₁)I₁ + jωM I₂ V₂ = jωM I₁ + (R₂ + jωL₂)I₂ Secondary resonance: C₂ = 1 / (ω²L₂) Reflected resistance: R_ref = (ωM)² / (R₂ + R_L) Primary coil equivalent: R_p = R₁ + R_ref X_p = ωL₁ Matching target: Z_in = R_s + j0 Matching loss (series L/C): ESR = |X| / Q Matching loss (shunt L/C): R_p_loss = Q \cdot |X| Link efficiency: η = P_load / P_in_ac P_load = I₂² R_L I₂ = ωM I₁ / (R₂ + R_L)

Status

Initialising…

System Analysis

Component Stress & Bandwidth

Topology Decision