Generic properties, one-parameter deformations, and the BCU method [power system stability]

This paper discusses the theoretical justification of the BCU method for the evaluation of power system stability. Recent literature has suggested that the method can be mathematically justified in terms of a one-parameter deformation between two systems. This paper shows that the assumptions of this method do not hold generically for power system models. In particular, the one-parameter transversality conditions inherent in the deformation argument do not apply for a large region in parameter space, thus, the validity of the BCU method cannot be theoretically justified by this procedure.