Efficient transient simulation of non-linear dynamic networks with discontinuous forcing

New technologies produce highly complex hybrid systems containing analogue components next to digital hardware and software. Simulating those mixed-signal systems exhibits discontinuities in signals due to the nature of the digital components. In this paper, an efficient and accurate method for the transient analysis of non-linear dynamic systems is presented that can handle discontinuous forcing functions which may occur as prescribed voltages or forces, for instance. It is based on a transformation of a model's equation system by substituting the time for a new independent variable. This approach facilitates suitable system-level models that altogether maintain the performance that is needed for an overall system-level simulation of complex application scenarios.