Taming Heterogeneity and Complexity of Embedded Control

Transient Stabilization and Voltage Regulation of a Synchronous Generator

Gilney Damm¹—Françoise Lamnabhi-Lagarrigue²—Riccardo Marino³—Cristiano Maria Verrelli³

¹Laboratoire IBISC - CNRS/Université d’Evry Val d’Essonne 40 rue du Pelvoux 91020 Evry Cedex, France [e-mail]

²Laboratoire des Signaux et Systèmes, L2S-CNRS Plateau de Moulon, Gif sur Yvette 91192, France [e-mail]

³Dipartimento di Ingegneria Elettronica, Universitá di Roma Tor Vergata Via del Politecnico 1, 00133 Rome, Italy [e-mail], [e-mail]

ABSTRACT. We constructively prove the existence of a robust adaptive nonlinear dynamic feedback control for a synchronous generator connected to an infinite bus, which does not require the machine internal voltage measurement and relies on the well-understood third order model nonlinearities but not on several critical parameters. Boundedness and L_∞ and L₂ transient performance are guaranteed; asymptotic speed and terminal voltage regulation are achieved in the case of permanent constant parameter perturbations.

KEYWORDS: Power systems control, robust nonlinear control, adaptive control, output regulation, L₂ and L_∞ disturbance attenuation, L₂ and L_∞ robustness

1. Introduction

The transient stabilization and voltage regulation problem of power systems consists in the design of an excitation control which keeps the angular speed of each generator close to the synchronous speed and regulates its terminal voltage to the desired ...