Energy-Based Power System Analysis with the Equivalent Mechanical Model

Abstract

This paper presents a new theoretical approach to energy-based power system analysis using the equivalent mechanical model for multibus power transmission systems. On the basis of mechanical analogy, an exact energy integral expression is derived for lossy multi-bus systems through rigorous energy analysis. A simple rigid rod model of mechanical power transfer system is introduced to address the physical meanings of potential energy terms associated with transfer conductances as well as transfer susceptances. Finally, energy-based analysis has been proposed with the Lagrange's Equations and Hamiltonian Equations, which shows that the energy function has all information of the power system characteristics.