@conference {Jatskevich2000A-globally-cont,
title = {A globally continuous state-space representation of switched networks},
booktitle = {Electrical and Computer Engineering, 2000 Canadian Conference on},
volume = {1},
year = {2000},
pages = {559 -563 vol.1},
abstract = {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},
keywords = {automated 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},
doi = {10.1109/CCECE.2000.849772},
url = {http://dx.doi.org/10.1109/CCECE.2000.849772},
author = {Jatskevich, Juri and Wasynczuk, O. and Walters, E.A. and Lucas, C.E.}
}