Three-dimensional stability analysis of DC power electronics based systems

Power electronics based power distribution systems are becoming increasingly common, particularly in marine and aerospace applications. Stability analysis of this class of systems is crucial due to the potential for negative impedance instability. Existing techniques of stability analysis introduce artificial conservativeness, are sensitive to component grouping, and at the same time do not explicitly address uncertainties and variations in operating point. Recently, a new stability criterion which reduces artificial conservativeness and is also insensitive to component grouping has been set forth along with a means of readily establishing design specifications from an arbitrary stability criterion which specifically includes a provision to incorporate uncertainty, parameter variation, and nonlinearities. Therein, the method is used to develop a load admittance constraint based on a generalized source impedance. In this paper, that work is further explained and the converse problem, that of generating a constraint on the source impedance from the load admittance, is also illustrated