The imbedding-based methods: computing the zeros of models of power systems

The authors develop an imbedding-based method to reduce the computational complexity in finding all or some of the zeros of the so-called deficient systems, with particular focus on power systems. This method reduces considerably the computational effort required in the existing homotopy continuation methods and allows for the computation of only some of the zeros if desired. The method is particularly efficient in the case of re-computing zeros of systems having the same topology but with different parameter values. This reduction in computational effort allows the method to compute some or all of the zeros of large-sized power systems. The method is implementable directly on digital sequential and parallel processors