Equivalent mechanical model of power systems for energy-based system analysis

Abstract

This paper presents a new mechanical analogy of power systems for energy-based system analysis based on an equivalent mechanical model (EMM). The EMM is developed on the basis of mechanical analogy of power system by using spring connected rod-inertia system. The proposed EMM introduces an imaginary spring for the analogical correspondence to the transfer conductance of a transmission line with discussion of its energy storage properties. The imaginary spring produces its forces acting on the both ends perpendicular to its displacement vector. The rod-inertia system is completely analyzed in order to show that it has just the same dynamic equations as the power system. The proposed EMM provides theoretical background for energy-based analysis of power systems, which enables us to utilize well-known theories such as Lagrange's equation.