A Generalized Hamiltonian Model for Power System Dynamics with Relay Action

Abstract

The electrical system is a complex network of buses, loads, transmission lines in addition to other voltage and current regulating components. This complexity makes dealing with power system stability an ongoing challenge that has become more significant in recent years as renewables are integrated into the power grid. Solving these instabilities in the power grid requires a suitable model of the power system in order to analyze steady state and transient stability of such systems. In this paper, we consider an n-bus system model that consists of lossless transmission lines connecting generation and load buses. We develop a Hamiltonian function to represent the dynamics of this system and study the transient stability for selected system disturbances. These initiating disturbances may include transmission line failure, addition or removal of loads, short circuit or generator outage. In this report we focus is on simulating subsequent transmission line relay action following such disturbances, within a 14-bus example power system. In particular we examine the impact of overcurrent relay action, which disconnects of one or more network branches, on the system?s transient and dynamic stability.