Explicit design equations for class-E power amplifiers with small DC-feed inductance

This paper presents novel, explicit design equations for class-E power amplifiers with finite DC-feed inductance. A mathematically exact analysis of the idealized class-E power amplifier with small DC-feed inductance shows that the circuit element values are transcendent functions of the input parameters. Therefore, the designer needs to perform a long iterative procedure in order to find these values. We have solved the circuit operation for a certain number of cases, and performed a Lagrange polynomial interpolation in order to obtain explicit, directly usable design equations. The proposed design method is verified by simulation and the agreement with the theory is excellent.