Nonlinear decentralized load frequency control of multi‐machine power systems with exponential stability and low L₂ gain against load disturbance

Abstract

This paper proposes a novel nonlinear decentralized control method for a class of multi-machine power systems. The aim is to construct a suitable decentralized feedback control law so as to guarantee that the large-scale interconnected power system is exponentially stable and robust against load fluctuations. To this end, we propose a novel design algorithm based on the backstepping, which involves five steps and actively utilizes the locally measurable part of the tie-line power to improve the performance. The effectiveness of the proposed control scheme is demonstrated through extensive simulation studies.

Observer‐based decentralized robust H∞ output tracking control with preview action for uncertain and disturbed nonlinear interconnected systems

“…Assumption 2 has been used in existing decentralized control designs for nonlinear uncertain interconnected systems [24]. It should be noted that many important physical systems, such as coupled inverted double pendulums and interconnected machine power systems, can be modeled by system (1) [1,21,24]. Therefore, the study of system (1), which satisfies Assumptions 1 and 2, is of practical significance.…”

“…It can be observed from ( 20) that the entire control structure of the global augmented error system (18) is totally decentralized because no information interaction occurs between individual local controllers. This facilitates the design of a decentralized tracking controller for the interconnected system (1).…”

“…This has resulted in the development of various concepts and methodologies such as decentralized control theory, linear matrix inequality, and robust H ∞ optimization methods and techniques. The advantages and performance of these methods have been validated in actual interconnected control systems, including communication networks, chemical reactors, power systems, and ecosystems (see previous works [1–3] and the references therein). Generally, an interconnected system is composed of several local subsystems with evident interconnections.…”

Observer‐based distributed control of large‐scale systems under gossip communication protocol

“…Consider a LSS in Figure 1 with N = 5 subsystems. The dynamics of the ith (i ∈ Π) subsystem are of the form (1) with…”

“…The control issues of large-scale systems (LSSs) have attracted much research attention over the past years. The reason is that many engineering systems can be described by the LSS model such as power systems [1,2], traffic systems [3], and chemical systems [4]. LSSs are typically composed of a large amount of interconnected subsystems [5].…”