A study on relationship between power network structure and total transient energy

First, we develop a mathematical representation to estimate the total transient energy. Then, the distribution factors of the total transient energy are defined based on the representation. In a power network, the difference of the distribution factors at a given bus characterizes the structural disparity of the bus. A metric is proposed to quantify the structural disparity. With the metric, our analysis shows that the amounts of the total transient energy due to a given fault at different buses heavily depend on the structural disparities of buses. The proposed metric can be used for fast screening of potential critical bus locations in power systems without the need of computationally extensive time-domain simulations. The feasibility of the proposed metric is validated in the case studies on the IEEE 39-bus system and a 2036-bus real power system.