Analysis and design of class E amplifier with shunt capacitance composed of nonlinear and linear capacitances

The Class E amplifier requires exact shunt capacitance to achieve optimum operation. Most Class E amplifiers are usually constructed by adding an external capacitor to the output capacitance of the power transistor in order to obtain the total required shunt capacitance. The output capacitance of the power transistor is nonlinear and the external capacitance is linear. Therefore, neither design equations for linear shunt capacitance nor the design equations for nonlinear shunt capacitance can be used in most designs, especially when the two are comparable. This paper presents an analysis and a design procedure for the Class E amplifier with a shunt capacitance composed of both a transistor nonlinear output capacitance and a linear external capacitance for the duty cycle D=0.5. Because the design equations do not have analytical forms, this paper provides a table and figures, which show results of numerical analysis. The Class E amplifier can be designed using these table and figures. A design example is given to illustrate the design procedure. Simulation results of the example circuit with PSpice and experimental results are presented to verify the theoretical results.