Abstract:
In this thesis, several methods that increase the tolerance of a wireless power transfer
system are illustrated. For that reason, a Duffing oscillator (the second order differential
equation with a third order of nonlinearity) equation is introduced. Also,
an electrical analysis of a Duffing oscillator is presented. The detailed characteristics
discussion is provided. Even though the Duffing oscillator circuit does not improve
the efficiency of wireless power transfer drastically, it provides a significant wider
bandwidth as compared to linear oscillators. The Duffing oscillator’s bandwidth is
enhanced by a factor of 2.7 as compared to the linear oscillator with the same quality
factor. Therefore, the Duffing oscillator improves the tolerance to coupling factor
fluctuations arising from varying transmission distance and adjustment of coupled
coils. The results are demonstrated using a MATLAB script.