On the periodic steady-state analysis of induction machines interfaced through VSCs using the Poincare map method and a Voltage-Behind-Reactance model

This paper presents the most efficient method to date to determine the periodic steady-state solution of three-phase induction machines based on the amalgamation of the Poincare map method and the so-called Voltage-Behind-Reactance (VBR) representation. An acceleration procedure based on the discretization of the dynamic equations with the Poincare map and the application of Newton's method allows locating periodic solutions. A per-unit VBR formulation, suitable for the Newton-based acceleration procedure, is used in this paper to ensure highly efficient solutions. To test further the robustness and versatility of the per-unit VBR model, it is interfaced to a voltage source converter (VSC) and the results show that the high efficiency of the new model remains unabated - this applies to both small and large induction machines. The method is particularly useful to carry out harmonic-oriented analyses where the computational effort reduces dramatically compared to cases when more traditional induction machine models and solution approaches are employed. (C) 2013 Elsevier B.V. All rights reserved.