An energy-shaping approach to the design of excitation control of synchronous generators

Galaz, Martha; Ortega, Roméo; Bazanella, Alexandre Sanfelice; Stanković, A.M.

doi:10.1016/s0005-1098(02)00177-2

Cited by 140 publications

(115 citation statements)

References 14 publications

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“…Step III: Differentiating e 3 , one getsė 3 = −(q 3 + 1/T d0 − q 2 )e 3 + u − rē 3 + d z2 , where q 3 is positive constant, r 3 …”

Section: Some Discussionmentioning

confidence: 99%

“…Preliminaries Generally, power systems are under normal operating conditions rather than leading power factor operations which are the rare cases [3,19], thus there exists a small constant δ m such that π/2 > δ > δ m > 0 and P 3 (δ ) > 0.…”

Section: Preliminaries and Controller Designmentioning

confidence: 99%

“…The main contents of this problem include generation, transmission and distribution of energy. Power system is regarded as one of the most complex systems in the world [1] and in order to obtain satisfactory and optimal operating state, many researchers have developed various solutions from their different professional perspectives [2][3][4][5]. This paper studies power system transient stability by using model-based control systems technology [6].…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear robust control for single-machine infinite-bus power systems with input saturation

Wan

2017

Bulletin of the Polish Academy of Sciences Technical Sciences

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Abstract. In this paper, a new control scheme is proposed to achieve stability for a single-machine infinite-bus power system. A power system model simultaneously considering input saturation and time-varying uncertainties is presented. A sufficient condition for the system convergence is given and based on this result, a switching excitation control law with auxiliary system is designed. The stability analysis and simulation results all show that the developed controller is effective.Key words: nonlinear robust control, input saturation, generator excitation, single-machine infinite-bus power systems (SMIB).Nonlinear robust control for single-machine infinite-bus power systems with input saturation Y. WAN * College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China tion to the control problem of nonlinear systems with input saturation. In [9], an auxiliary system is employed to address input constraints, but only boundedness of the "last modified virtual error" is obtained. If the desired value of control input greatly exceeds the constraints, then the auxiliary system will be unstable and thus the convergence of the "last virtual error" to the origin cannot be ensured. In [10], the tanh function and the mean-value theorem are used to deal with the saturation function, and then the redial basis function i.e. neural network is employed to approximate the unknown control gain. However, since the tanh function is also a kind of bounded function, when there are large disturbances and the desired value of control input goes beyond the range of tanh, the efficacy of the designed control law may be limited. In [11], dynamic surface control is used to equivalently transform a class of nonlinear system into a linear system, and then the region of attraction which is enlarged to allow some degree of input saturation is estimated via a linear matrix inequality method [12]. But this approach does not give a solution for a case when the initial condition is out of this region of attraction. This article proposes a new nonlinear robust control framework to tackle the stabilization problem for a class of nonlinear system with time-varying uncertainties and input saturation. Compared with the prior works, the proposed method ensures not only the boundedness of state variables but the global stability of the closed-loop system. Furthermore, the approach proposed processes the saturation phenomenon directly and does not require approximating the saturation function by a smooth function, which is often not invertible outside its range.The paper is organized as follows: the preliminaries and a SMIB power system model are described in Section 2. In Section 3, a sufficient condition for the convergence of states to the origin under saturation is shown in a Theorem, and then on the basis of this result, a switching excitation control law with auxiliary system (SAEC) is designed, as well as stability analysis for the closed-loop system with the designed controller. The simulation resul...

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“…Step III: Differentiating e 3 , one getsė 3 = −(q 3 + 1/T d0 − q 2 )e 3 + u − rē 3 + d z2 , where q 3 is positive constant, r 3 …”

Section: Some Discussionmentioning

confidence: 99%

Section: Preliminaries and Controller Designmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nonlinear robust control for single-machine infinite-bus power systems with input saturation

Wan

2017

Bulletin of the Polish Academy of Sciences Technical Sciences

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“…While much research work in the area of robotics leads to a good understanding of this approach, its recent successful applications to power systems require new problem formulations and new insights into this approach [14,28]. In recent years, port-controlled Hamiltonian systems [32,31,18] have been well investigated in a series of works [19,7,17,[21][22][23]12,13].…”

Section: Introductionmentioning

confidence: 99%

“…Up to now, the port-controlled Hamiltonian approach has been used in various control problems [17,9,23]. In particular, it has been successfully applied to the control of power systems in a series of works [3,24,14,28].…”

Section: Introductionmentioning

confidence: 99%

Approximate dissipative Hamiltonian realization and construction of local Lyapunov functions

Wang

Cheng

2007

Systems & Control Letters

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The key in applying energy-based control approach is to be able to express the system under consideration as a dissipative Hamiltonian system, i.e., to obtain Dissipative Hamiltonian Realization (DHR) for the system. In general, the precise DHR form is hard to obtain for nonlinear dynamic systems. When a precise DHR does not exist for a dynamic system or such a precise realization is difficulty to obtain, it is necessary to consider its approximate realization. This paper investigates approximate DHR and construction of local Lyapunov functions for time-invariant nonlinear systems. It is shown that every nonlinear affine system has an approximate DHR if linearization of the system is controllable. Based on the diagonal normal form of nonlinear dynamic systems, a new algorithm is established for the approximate DHR. Finally, we present the concept of kth degree approximate Lyapunov function, and provide a method to construct such a Lyapunov function. Example studies show that the methodology presented in this paper is very effective.

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Transient Stabilization and Voltage Regulation of a Synchronous Generator

Damm¹,

Lamnabhi‐Lagarrigue²,

Marino³

et al. 2013

Taming Heterogeneity and Complexity of Embedded Control

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The transient stabilization problem of a synchronous generator in a multimachine power system is addressed. A robust adaptive nonlinear feedback control algorithm is designed on the basis of a third order model of the synchronous machine in a multimachine power network which takes into account the effect of transfer conductances and of the remote network dynamics: it does not require the machine internal voltage measurement and relies on the knowledge of only three model parameters and of upper and lower bounds on the uncertain ones. Sufficient conditions to be satisfied by the remaining part of the network for guaranteeing L 2 and L ∞ disturbance attenuation and relative speed regulation are derived which are more general than those required by the single machine-infinite bus approximation.

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An energy-shaping approach to the design of excitation control of synchronous generators

Cited by 140 publications

References 14 publications

Nonlinear robust control for single-machine infinite-bus power systems with input saturation

Nonlinear robust control for single-machine infinite-bus power systems with input saturation

Approximate dissipative Hamiltonian realization and construction of local Lyapunov functions

Transient Stabilization and Voltage Regulation of a Synchronous Generator

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