Deploying Nonlinear Circuits on Wireless Power Transmitters and Receivers

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.