New numerical techniques for bifurcation analysis of power systems with application to grid-connected voltage source converter

摘要

In many papers, in dealing with bifurcation analysis of power systems, the power system is modelled as an ordinary differential equation system, in order to conveniently use the theory and numerical tools developed for bifurcation analysis of ordinary differential equation systems. We explain in this work how state-of-the-art numerical techniques for bifurcation analysis, not well known in the power system community, can be extended to the more conventional power system model, that is a differential algebraic equation system, including power system specifics such as limits. Bordered matrices are extensively used, notably for the detection and exact localisation of singular points, as well as their continuation in two-parameter continuation. The methods are tested on a simple power system with grid-connected voltage source converter. Copyright © 2011 John Wiley & Sons, Ltd.