Modified tellegen principle used for power and energy systems modeling

Abstract

The paper deals with a problem of modeling of dynamic systems. The proposed approach to the problem solution is based on modified Tellegen’s theorem well known from electrical engineering. The novelty of this approach is that it is based on the instantaneous power calculation for real linear and nonlinear systems e.g. electrical circuits, mechanical systems, heat transfer etc. Consequently, mathematically as well as physically correct results are obtained. Some known and often used system representation structures are discussed from the developed point of view as an addition. The examples are also included. The mathematical derivation and results of simulations are presented in this paper.