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Table 2 Capacitance values of four compensation circuits

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

Compensation circuit

Capacitance of transmitting coil C1

Capacitance of receiving coil C2

S-S

\( \frac{1}{\omega^2{L}_1} \)

\( \frac{1}{\omega^2{L}_2} \)

S-P

\( \frac{\omega^2{L}_2^2}{\omega^4{L}_1{L}_2^2-{\omega}^4{M}^2{L}_2} \)

\( \frac{1}{\omega^2{L}_2} \)

P-S

\( \frac{\omega^2{L}_2^2}{\frac{\omega^2{M}^2}{R_L^2}+{\omega}^2{L}_1^2} \)

\( \frac{1}{\omega^2{L}_2} \)

P-P

\( \frac{\omega {L}_1+\frac{M^2}{L_2}}{\frac{M^4{R}_L^2}{L_2^4}+{\left(\frac{\omega {M}^2}{L_2}+\omega {L}_1\right)}^2} \)

\( \frac{1}{\omega^2{L}_2} \)