An Advanced LMI-Based-LQR Design for Load Frequency Control of an Autonomous Hybrid Generation System

Pandey, Shashi Kant; Mohanty, Soumya R.; Kishor, Nand; Catalão, João P.S.

doi:10.1007/978-3-642-37291-9_40

Cited by 12 publications

(6 citation statements)

References 15 publications

(12 reference statements)

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“…CONTROLLER DESIGN In the proposed scheme, we use linear matrix inequality (LMI)-linear quadratic regulator (LQR) referred as LMI-LQR [25]. The performance index of controller design is solved via LMI constraints.…”

Section: E Process For Designing Of Communication Infrastructurementioning

confidence: 99%

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Load Frequency Control with Communication Topology Changes in Smart Grid

Singh

Kishor

Samuel

2016

IEEE Trans. Ind. Inf.

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In this paper, the quality of service (QoS) of communication infrastructure implemented in multi-area power system for load frequency control (LFC) application is assessed in smart grid environment. In study, network induced effects; time delay, packet loss, bandwidth, quantization and change in communication topology (CT) has been addressed to examine the system performance in closed loop. Uncertainty in time delay is approximated as deterministic and stochastic model. The network is modeled considering different network configurations, i.e. change in CT. The modeled communication network guarantees control relevant properties, i.e. stability.The decentralized controller and linear matrix inequality based linear quadratic regulator (LMI-LQR) is implemented to reduce the dynamic performance (mean square error of states variables) of power system as CT changes. Simulation results suggest that proposed scheme of networked control is superior with respect to other design method available in literature and thus robust to communication imperfections. Index Terms-Bandwidth, Communication topology, LFC, LMI-LQR, Smart Gridfuture smart grid, it is expected that PMU is installed extensively across the power grid. Smart grid (SG) incorporates a two way digital communication technology which integrates the communication technology and intelligent computer processing technology into a large scale power system for quick monitoring, control, self-healing, selforganizing and robustness for physical system, so that consumer may be benefitted [6][7]. SGs require reliable communication systems. It is well known that due to high speed open communication infrastructure, i.e. wireless networks, are unreliable because of time delay, packet loss and the communication failure. Further a comprehensive review on SG potential application and communication requirement is presented in [8].Communication technologies and their impact on power system operation need a closer study to implement the control strategy. The power systems rely on control algorithms having information exchanged via communication networks. Any network effects jeopardize failure rate of control itself. Recently, researchers have reported coupling of power system and communication networks as discrete-event triggering systems for LFC for multi area power system with communication delays [9].In real-time monitoring of smart grid operation, it is essential to exploit the high speed of throughput. The need of real-time information and strict latency requirements for bulk amounts of data has been proposed in [10]. The strict latency of most of the application of smart grid lies between 100 ms to 5 sec [11]. Further the detail description of latency requirements for power system operation is given in [1]. The time duration of transient stability is less than 100 ms, small signal stability is less than 1 sec, voltage stability between 1-5 sec and grid disturbances in range of few minutes. The communication delay on a network includes the transmission delay, propagation delay, q...

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Section: E Process For Designing Of Communication Infrastructurementioning

confidence: 99%

“…The formulation of LQR control law [25], the state-feedback gain matrix i K and ij K that minimizes the cost function (22) in terms of output y  is given as:…”

Section: E Process For Designing Of Communication Infrastructurementioning

confidence: 99%

Load Frequency Control with Communication Topology Changes in Smart Grid

Singh

Kishor

Samuel

2016

IEEE Trans. Ind. Inf.

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“…Linear quadratic regulator (LQR) control design has been successfully utilized in frequency regulation problems, mostly due to large stability margins of its stabilizing solution, with the fundamental work of [34] being a benchmark approach to LQR-based LFC of multi-area power systems. Ever since, considerable research has been carried out on this topic; [35][36][37][38] represent some recent works. Over the past few years, there has been a renewal of interest in control of networks composed of a large number of interacting systems.…”

Section: Introductionmentioning

confidence: 99%

Distributed LQR Design for a Class of Large-Scale Multi-Area Power Systems

2019

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Load frequency control (LFC) is one of the most challenging problems in multi-area power systems. In this paper, we consider power system formed of distinct control areas with identical dynamics which are interconnected via weak tie-lines. We then formulate a disturbance rejection problem of power-load step variations for the interconnected network system. We follow a top-down method to approximate a centralized linear quadratic regulator (LQR) optimal controller by a distributed scheme. Overall network stability is guaranteed via a stability test applied to a convex combination of Hurwitz matrices, the validity of which leads to stable network operation for a class of network topologies. The efficiency of the proposed distributed load frequency controller is illustrated via simulation studies involving a six-area power system and three interconnection schemes. In the study, apart from the nominal parameters, significant parametric variations have been considered in each area. The obtained results suggest that the proposed approach can be extended to the non-identical case.

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“…The linear quadratic regulator (LQR) method has strong robustness and a simple structure, which was applied to the F100 aircraft engine and other linear systems [4,5]. In the multivariable control of the F100, the LQR method was utilized to design the proportional part of the control.…”

Section: Introductionmentioning

confidence: 99%

A New Robust Tracking Control Design for Turbofan Engines: H∞/Leitmann Approach

et al. 2017

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In this paper, a H ∞ /Leitmann approach to the robust tracking control design is presented for an uncertain dynamic system. This new method is developed in the following two steps. Firstly, a tracking dynamic system with simultaneous consideration of parameter uncertainty and noise is modeled based on a linear system and a reference model. Accordingly, a "nominal system" from the tracking system is defined and controlled by a H ∞ control to obtain the asymptotical stability and noise resistance. Secondly, by making use of a Lyapunov function and the norm boundedness, a new robust control with the "Leitmann approach" is designed to cope with the uncertainty. The two controls collaborate with each other to achieve "uniform tracking boundedness" and "uniform ultimate tracking boundedness". The new approach is then applied to an aircraft turbofan control design, and the numerical simulation results show the prescribed performances of the closed-loop system and the advantage of the developed approach.

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An Advanced LMI-Based-LQR Design for Load Frequency Control of an Autonomous Hybrid Generation System

Cited by 12 publications

References 15 publications

Load Frequency Control with Communication Topology Changes in Smart Grid

Load Frequency Control with Communication Topology Changes in Smart Grid

Distributed LQR Design for a Class of Large-Scale Multi-Area Power Systems

A New Robust Tracking Control Design for Turbofan Engines: H∞/Leitmann Approach

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