Transient energy dissipation of resistances and its effect on power system damping

The transient energy flow method is a newly proposed method for locating the sources of low frequency oscillations and shows good performances in tests and actual applications. It is found in previous work that resistances in networks or loads may produce transient energy and exhibit as oscillation sources. In this paper, the transient energy dissipation of resistances and its effect on power system damping is studied. The transient energy flow into a resistance is generally non-conservative but whether it is dissipative is indefinite. A resistance may dissipate or produce transient energy. However, the relationship between system damping represented with the real-part of the eigenvalue and the total energy dissipation is definite, and an equation describing the relationship is obtained in simple power systems. Transient energy dissipation is an indicator of the damping of a component. When a resistance dissipates transient energy, it is beneficial to system damping, otherwise it is detrimental. The results are verified with simulations and explanations for constant impedance loads at different locations having different effects on damping are given.