The optimal decentralized control of a large power system: Load and frequency control

Davison,; Tripathi,

doi:10.1109/cdc.1976.267787

Cited by 7 publications

(10 citation statements)

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“…A number of papers [1,2] have been written on the problem of determining a decentralised control strategy. In the case of linear systems, an interesting algorithm consisting of shaping the poles and zeros of the subsystems to satisfy SevastyanovKotelyanskii conditions is proposed in Reference 6.…”

Section: Set Of Sufficient Conditionsmentioning

confidence: 99%

“…The problem of designing a decentralised controller for a class of nonlinear systems is relevant in practice, for example in large-scale power systems [1,2]. The robust decentralised control strategy for a linear system consists of an inclusion of tracking-error-driven servocompensators followed by the stabilisation of the composite system formed from the process, with the servocompensators using only the local measurable states.…”

Section: Introductionmentioning

confidence: 99%

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Robust decentralised control of a servomechanism problem for a class of nonlinear systems

Doraiswami

1981

IEE Proc. D Control Theory Appl. UK

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Robust decentralised control of a class of nonlinear system so as to track a given reference input signal and reject a known class of disturbance signals is proposed. The controller consists of tracking-errordriven servocompensators and local stabilisers. The servo compensators contain the modes of not only the external signals but also the internal signals. The local stabiliser must be designed to yield large damping and low overshoot. A computer-aided-design procedure is given. IntroductionThe problem of designing a decentralised controller for a class of nonlinear systems is relevant in practice, for example in large-scale power systems [1,2]. The robust decentralised control strategy for a linear system consists of an inclusion of tracking-error-driven servocompensators followed by the stabilisation of the composite system formed from the process, with the servocompensators using only the local measurable states. The servocompensator is a linear system whose poles are the modes of the external signals, namely the reference input and the disturbance signals. In the steady state, the tracking error is zero and the servocompensator generates a signal with modes identical to that of the reference and the disturbance signals. In essence, the tracking and disturbance rejection is achieved by injecting a copy of the external signals (a copy of the signal means that they have identical modes) into the process. The stabilisation of the composite system is achieved using local dynamic compensators or state feedback controllers implemented via observers or classical compensators. A decentralised controller for the stabilisation of the composite system has received a lot of attention in the control literature [1,6,7].There are two aspects concerning the problem of decentralised controllers. One aspect concerns the existence of a decentralised controller, and once the existence is guaranteed the other aspect concerns the determination of the structure and the parameters of the controller. The existence of a decentralised controller for a linear time-inVariant system has been considered in Reference 1. Necessary and sufficient conditions are expressed in terms of decentralised fixed modes of certain matrices of the system. Further, it is shown that, if each subsystem is controllable and observable, and its transmission zeros are distinct from the external signal modes, then, for almost all interconnections, there exists a decentralised controller. A number of sufficient conditions have been proposed in the literature [6,7] for the determination of the structure and the parameters of the controller. Essentially, the algorithms involve interactive computation even for a linear time-invariant system.In this paper, an extension of the results of the linear robust servomechanism problem to a class of nonlinear systems is considered. Motivated by the simplicity of implementation of linear robust servomechanism control strategy, a similar, but a more general, linear controller structure is assumed.A class of nonlinear systems, mo...

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Section: Set Of Sufficient Conditionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Robust decentralised control of a servomechanism problem for a class of nonlinear systems

Doraiswami

1981

IEE Proc. D Control Theory Appl. UK

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“…The load frequency controller design with better performance has received considerable attention during past years and many investigations have been done in the area of LFC [1][2][3][4][5] . Elgerd and Fosha [6] were the first to apply modern control theory to the LFC problem, and their work brought about many debates and arguments among power system researchers.…”

Section: Introductionmentioning

confidence: 99%

The design of load frequency variable structure controller for power systems

Xiao

et al. 2012

2012 24th Chinese Control and Decision Conference (CCDC)

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In this paper, a variable structure load frequency controller is proposed for a system with parameter uncertainties and load disturbance, the switching surface is designed by pole placement method, the controller is derived from the reaching law, which can assure the hitting condition is satisfied. A simulation study for a numerical example is given to illustrate the effectiveness of this control design.

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“…An alternative approach to controlling the task of interconnected power systems relies on the decomposition of a large power system into regions and an on-line decentralized closed-loop reduced-information structure for controlling regions. Because of the practical limitations of centralized controllers for large interconnected power systems, several researchers (Davison and Tripathi 1978;Geromel and Peres 1985, Park and Lee 1987, Aldeen and March, 1991 have applied the concept of decentralized control to the design of load± frequency controllers. Unfortunately, none of the above researchers can claim the practical applicability of their schemes when the parameter variation of the system, the disturbances from outside the system and the unmodelled dynamics are considered as the uncertainties in the system.…”

Section: Introductionmentioning

confidence: 99%

Stabilizing decentralized robust controllers of interconnected uncertain power systems based on the Hessenberg form: Simulated results

Ray

Rani

2001

International Journal of Systems Science

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This paper addresses stability analysis and design issues in load± frequency control (LFC) for interconnected power systems with a structure uncertainty satisfying the matching conditions. A simple robust decentralized control law for each subsystem has been developed on the basis of the Hessenberg model and utilizing the basic concepts of both linear± quadratic regulator theory and Lyapunov stability theory. A detailed design procedure together with simulation results have been presented for the case of the LFC problem of interconnected power systems. The performance robustness and stability bounds are studied and subsequently condition numbers corresponding to the stabilizing solution of the algebraic Riccati equation are also presented.

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The optimal decentralized control of a large power system: Load and frequency control

Cited by 7 publications

References 0 publications

Robust decentralised control of a servomechanism problem for a class of nonlinear systems

Robust decentralised control of a servomechanism problem for a class of nonlinear systems

The design of load frequency variable structure controller for power systems

Stabilizing decentralized robust controllers of interconnected uncertain power systems based on the Hessenberg form: Simulated results

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