Abstract

In this paper a new bifurcation synthesis procedure is described. Its foundations are built on an extension of the Conversion Matrix concept, applied to the nonlinear sub network of the circuit simulated through Harmonic Balance. The Cross-frequency Stability Curves (CSC) are defined, which are the nonlinear equivalent of the Stability Circles valid for linear networks. The CSC gives us regions of reflection coefficient values for the loads that yield potential eriod doubling in the circuit. The proposed synthesis method can be used within any simulation program based on the Harmonic Balance algorithm, allowing the designer the possibility to check the nonlinear stability of any simulated circuit, or to design intentionally unstable circuits. Results of the CSC method are given for a GaAs FET circuit synthesized to operate as a divider-by-two.