Robust Simulation of High-$Q$ Oscillators Using a Homotopy-Based Harmonic Balance Method

The simulation of high-Q oscillators in the frequency domain is difficult due to a very small region of convergence. In this paper, globally convergent homotopy methods are combined with the harmonic balance method for simulation of high-Q oscillators. Various homotopy options have been evaluated, and an algorithm has been developed that is robust in simulating a wide range of oscillator circuits