Nonlinear control synthesis for asymptotic stabilization of the swing equation using a controllable series capacitor via Immersion and Invariance

Abstract

A nonlinear control law is proposed to asymptotically stabilize a single machine infinite bus (SMIB) system based on Immersion and Invariance (I&I) control strategy. The actuator used is a controllable series capacitor (CSC). The SMIB system is described using the nonlinear second order swing equation model, and the CSC is modeled using a first order system. The control objective here is to approximate the complete third order system with a second order dynamics, for which we have an asymptotically stabilizing control law.

Output-feedback IDA stabilisation of an SMIB system using a TCSC

“…It is interesting to mention that if instead of using the admittance of the system as third state, the effective line reactance is used, it is still possible to apply IDA-PBC design, as actually has been done in Manjarekar et al (2008). Unfortunately, the output-feedback case is not approached in this article.…”

“…This scheme is currently well known and widely accepted, due to its proved capability for improving transient stability properties besides its primary functions, such as voltage and power flow control, and several controllers for this scheme have been reported dealing with its nonlinear structure and the fact that not all states are available for measurement. Unfortunately, they belong to the class of statefeedback controllers or observer-based schemes, but exhibiting a complicated structure (Messina, Hernandez, Barocio, Ochoa, and Arroyo 2002;Sun, Liu, Song, and Shen 2002;de Leon-Morales, Espinosa-Pe´rez, and Maya-Ortiz 2004;Manjarekar, Banavar, and Ortega 2008). In this sense, the distinctive feature of the contribution presented in this article lies in the simplicity of the developed controllers.…”

Immersion and Invariance-Based Coordinated Generator Excitation and SVC Control for Power Systems

“…This method is applicable to practical control design problems for many types of systems; refer to [18] for further details. For transient stability and voltage regulation enhancement of power systems with excitation control, see [19,20], with a controllable series capacitor (CSC), see [14], and with a static var compensator (STATCOM), see [13].…”

“…This paper continues this line of investigation and improves further transient response performance by using a different technique based on the concept of Immersion and Invariance (I&I) for the design of a nonlinear control law for transient stability and voltage regulation enhancement of power systems with SVC. Recently, relatively little prior work using I&I technique has been devoted to the combination of generator excitation and other FACTS such as STATCOM [13] and CSC [14]. Nevertheless, note that the resulting controllers are under the assumption of full state feedback.…”

Output-feedback IDA control design via structural properties: Application to Thyristor Controlled Series Capacitors

“…The importance of this device has been widely recognized in the literature and it is possible to find several schemes for controlling it developed under different perspectives, e.g. state-feedback pole placement [5], immersion and invariance [6], standard passivity-based [7] and state-feedback IDA techniques [8].…”