Approach to Energy Objects’ Dynamics Modelling Based on Singular Systems’ Elements

Over the last decades there has been substantial progress on the development of theory and numerical methods for singular systems (known also as descriptor systems, semistate systems, differential algebraic systems, generalized state-space systems, etc.). The need for such methods arisen primarily from the increased practical interest for a more general system description which takes the intrinsic physical system model structure into account. Besides that, many physical processes are most naturally and easily modeled as mixed systems of differential and algebraic equations (DAE). As the title implies the paper describes the singular systems theory application in power systems dynamics simulation, particularly considered an alternative method for energy systems’ mathematical models formulation based on the singular systems theory elements with some indicative examples illustrating feasibility and efficiency of this approach.