Stability Criterion for Voltage Stability Study of Distributed Generators

Marjorie Cosson (1, 2) , Hervé Guéguen (3) , Pierre Haessig (3) , Didier Dumur (2) , Cristina Stoica Maniu , Vincent Gabrion (1) , Gilles Malarange (1)

1 EDF - EDF
2 L2S - Laboratoire des signaux et systèmes
3 IETR - Institut d'Électronique et des Technologies du numéRique

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.

Keywords: Voltage stability; Hybrid systems; Piecewise linear systems; Electric power systems; Reactive power

Domains: Engineering Sciences [physics]; Automatic

Marjorie Cosson, Hervé Guéguen, Pierre Haessig, Didier Dumur, Cristina Stoica Maniu, et al.. Stability Criterion for Voltage Stability Study of Distributed Generators. IFAC workshop on Control of Transmission and Distribution Smart-Grids, Oct 2016, Prague, Czech Republic. pp.047-053, ⟨10.1016/j.ifacol.2016.10.718⟩. ⟨hal-01402205⟩