A globally continuous state-space representation of switched networks

TitleA globally continuous state-space representation of switched networks
Publication TypeConference Paper
Year of Publication2000
AuthorsJatskevich, J., O. Wasynczuk, E. A. Walters, and C. E. Lucas
Conference NameElectrical and Computer Engineering, 2000 Canadian Conference on
Pagination559 -563 vol.1
Keywordsautomated method, automated state-space averaging, circuit simulation, computer-generated equations, differential equations, globally continuous state-space representation, initial value problems, minimal state-space representation, network topology, numerically efficient method, ODE solver, power electronics, power-electronic-based systems, rectifying circuits, state variable approach, state variables transformation, state-space methods, state-space models, switched circuit simulation, switched electrical networks, switched networks, switching networks, synchronous machine-rectifier system, synchronous machines, system-level analysis, time intervals, transient response, transient responses

The state variable approach is a numerically efficient and analytically meaningful method of predicting and characterizing the transient responses of power-electronic-based systems. An automated method of establishing state-space models of switched electrical networks is considered. In this modeling approach, the minimal state-space representation of the overall system is generated dynamically as each topology is encountered. Due to the changing topology, the simulation of a switched circuit requires concatenation of the solutions of initial value problems (IVPs) corresponding to time intervals between switching events. In this paper, a transformation of state variables is derived such that the computer-generated equations have the same dimension and the new states are continuous throughout the study. This feature eliminates the need for re-initializing the ODE solver and sets the stage for automated state-space averaging and system-level analysis of switched circuits. The algorithm is verified using a practical example of a synchronous machine-rectifier system


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