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Table 1 Total impedance of four kinds of resonant compensation circuits

From: Design of UAV wireless power transmission system based on coupling coil structure optimization

Compensation circuit

Input impedance

S-S

\( j\left(\omega {L}_1-\frac{1}{\omega {C}_1}\right)+\frac{\omega^2{M}^2}{R_L+j\left(\omega {L}_2-\frac{1}{\omega {C}_2}\right)} \)

S-P

\( j\left(\omega {L}_1-\frac{1}{\omega {C}_1}\right)+\frac{\omega^2{M}^2}{j\omega {L}_2+\frac{R_L}{j\omega {C}_2{R}_L+1}} \)

P-S

\( \frac{1}{\frac{1}{j\omega {L}_1+\frac{\omega^2{M}^2}{R_L+j\left(\omega {L}_2-\frac{1}{\omega {C}_2}\right)}}+ j\omega {C}_1} \)

P-P

\( \frac{1}{\frac{1}{j\omega {L}_1+\frac{\omega^2{M}^2\left(1+ j\omega {C}_2{R}_L\right)}{R_L+ j\omega {L}_2+ j\omega {C}_2{R}_L}}+ j\omega {C}_1} \)