Generic properties, one-parameter deformations, and the BCU method

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