Simulation of a Crossbar Switch Node by Differential-Taylor Transformation with Risetime Estimation

The linear ladder circuits with switching capacitors are the basis of a large class of electron devices. A typical representative of RC structures is matrix switches used in communication systems. The methods of such circuits modeling are far from perfect, since it assume the calculation of a steady state mode by sequentially integrating a differential equation with the initial conditions from the previous integration steps. optimization problem requires a numerical-analytical solution for assessing the quality of transients, because numerical calculation does not allow analyzing the quality change of the transient process of the system at varying input parameters. Hence, complex modeling methods are necessary. In the paper, the Differential-Taylor Transform is used for RC circuits modeling. It is shown that the problem of low conditionality always arises at calculating the differential spectrum. The areas of applicability and limitations of the method are found. New software implementations of the method are investigated.