A Passivation Approach to Power Systems Stabilization

Ortega, Roméo; Stanković, A.M.; Stefanov, Predrag

doi:10.1016/s1474-6670(17)40353-3

Cited by 45 publications

(27 citation statements)

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“…In many mechanical and electrical engineering applications, dissipativity is related to the notion of energy. This fundamental ideas are strongly related with concepts like passivity and finite gain, see [1][2][3][4], and constitute a fundamental basis of the development of the robustness analysis [5][6][7][8], for applications of the dissipativity ideas on power systems, and for further developments on dissipativity and input-to state stability, see [9][10][11][12][13][14]. Now days there are several definitions uses for dissipativity in the literature, in this work we used the definitions given in [14,15].…”

Section: Introductionmentioning

confidence: 99%

Some Observations About Dissipative Properties for Dynamical Systems Under Change of Variables

Fernández‐Anaya¹,

Flores-Godoy²

2011

TOCSJ

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This note gives results about the preservation of some dissipative properties of systems under a change of variables. In the textbooks it is not mentioned explicitly the relationship between the equations associated with the dynamics of a system and the selected Lyapunov function to establish its stability property, when a change of coordinates is used. Based on the fact that Lyapunov stability is preserved under these changes of variables, it is shown that various forms of dissipativity can be preserved. In addition, we will show that the input-state stability (ISS), integral input-to-state stability (iISS) and input/output to state stability (IOSS) can be preserved under this class of transformation. Some examples are given to show these results.Keywords: Preservation of dissipativity, preservation of input-state stability, preservation of integral input-to-state stability, preservation of input/output to state stability, change of coordinates.

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Section: Introductionmentioning

confidence: 99%

Some Observations About Dissipative Properties for Dynamical Systems Under Change of Variables

Fernández‐Anaya¹,

Flores-Godoy²

2011

TOCSJ

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“…Most results along these lines are based on the application of damping injection (also called ) controllers (see [7], [14], and [17].) See also [20] for an alternative passivation approach. In [3], a dynamic damping injection controller is proposed which is proven to enlarge the estimate of the region of attraction and is shown (in simulation studies) to increase critical clearing times for a single machine infinite bus (SMIB) system with lossless transmission lines.…”

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confidence: 99%

Transient stabilization of multimachine power systems with nontrivial transfer conductances

Ortega

Galaz

Astolfi

et al. 2005

IEEE Trans. Automat. Contr.

182

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Abstract-In this paper, we provide a solution to the long-standing problem of transient stabilization of multimachine power systems with nonnegligible transfer conductances.More specifically, we consider the full 3 -dimensional model of the -generator system with lossy transmission lines and loads and prove the existence of a nonlinear static state feedback law for the generator excitation field that ensures asymptotic stability of the operating point with a well-defined estimate of the domain of attraction provided by a bona fide Lyapunov function. To design the control law we apply the recently introduced interconnection and damping assignment passivity-based control methodology that endows the closed-loop system with a port-controlled Hamiltonian structure with desired total energy function. The latter consists of terms akin to kinetic and potential energies, thus has a clear physical interpretation. Our derivations underscore the deleterious effects of resistive elements which, as is well known, hamper the assignment of simple "gradient" energy functions and compel us to include nonstandard cross terms. A key step in the construction is the modification of the energy transfer between the electrical and the mechanical parts of the system which is obtained via the introduction of state-modulated interconnections that play the role of multipliers in classical passivity theory.

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“…The theory of the passivity-based control has been well-established [16], [18], [25]. Particularly, the port-controlled Hamiltonian systems were studied by [11], [15], [17]. It becomes a powerful technique for designing robust controllers for many physical systems, which are described as a "generalized" Hamiltonian systems.…”

mentioning

confidence: 99%

“…Port-controlled Hamiltonian system was proposed and studied by Ortega, Van der Shaft et al [11], [15], [16], [17], [18], [19], [20], [25].…”

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confidence: 99%

Pseudo-Hamiltonian realization and its application

Cheng

Shen

Tarn

2002

Communications in Information and Systems

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Abstract. In this paper, the problem of pseudo-Hamiltonian realization of a control system is studied. Several sufficient conditions are obtained. The stability of a dynamic system is investigated via dissipative pseudo-Hamiltonian realization, and the stabilization of a control system is also investigated via feedback dissipative pseudo-Hamiltonian realization. Some relations between the stability (asymptotical stability) with the dissipative (strict dissipative) realization are revealed. Relations between the affine dissipative control systems and the dissipative pseudo-Hamiltonian realization are also investigated. These results show that the set of pseudo-Hamiltonian systems represent a very large class of interesting dynamic systems, and this approach is a powerful tool. Particularly, a generalization of the Krasovskii's Theorem is obtained. Then the problem of L 2 disturbance attenuation of a nonlinear system via pseudo-Hamiltonian realization is investigated. It is shown that for a class of pseudo-Hamiltonian systems the disturbance attenuation problem is solvable and an estimation of the boundary of the L 2 gain is obtained. Finally the results are applied to the excitation control of power systems. The stabilization and the H∞ control problems are investigated for the singlemachine infinite bus power systems.

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A Passivation Approach to Power Systems Stabilization

Cited by 45 publications

References 4 publications

Some Observations About Dissipative Properties for Dynamical Systems Under Change of Variables

Some Observations About Dissipative Properties for Dynamical Systems Under Change of Variables

Transient stabilization of multimachine power systems with nontrivial transfer conductances

Pseudo-Hamiltonian realization and its application

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