1. A computer-implemented method for identifying errors in a system model, the method comprising: identifying at least one matrix corresponding to a plurality of numerical equations, each numerical equation corresponding to a respective at least one of a component of the system model and a topology equation of the system model; performing a numerical analysis of the at least one matrix to determine if a dependency exists between any of the plurality of equations; and providing an indication of at least one erroneous configuration of the system model when the dependency exists.