Development of Methods for Sensitivity Analysis of Electrical Energy Networks and Systems within State Space

This paper presents a new method that should make it possible to determine the sensitivity of uncontrolled electrical power grids with only a modest amount of effort. Unlike most of the methods described in the literature, this method is based on an implicit description of the electrical power grid in the state space, in which the system matrices are set up using mesh equations based on a complete tree. In this case, the sensitivity matrix is not derived from the Jacobian matrix, but from the weighted inverse of the impedance matrix. It will be shown that this makes it possible to determine the sensitivity of the network independently of the operating point, under the assumption that the impedances of the network remain constant.