Stability Criterion for Voltage Stability Study of Distributed Generators

Abstract : This paper proposes a stability criterion for the study of distributed generators equipped with local reactive power regulations. Existing formal methods propose a memory-consuming analysis with some practical issues while dealing with large-scale systems. To cope with this, a novel analytic stability criterion is established in this work. Firstly, a necessary condition for system stability is demonstrated for a feeder hosting a single generator. The approach is illustrated on a real medium voltage feeder. Then, a conjecture is proposed to study the stability of feeders hosting several generators equipped with reactive power regulations. Conjecture validity is proved over several theoretical grids hosting up to four distributed generators thanks to simulations.