Approximation of an energy function in transient stability analysis of power systems

Uemura, Katsuhiko; Matsuki, Junya; Yamada, Isamu; Tsuji, T.

doi:10.1002/eej.4390920613

Cited by 28 publications

(9 citation statements)

References 2 publications

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“…This typical problem brought about by the disturbances in the production systems stability is the main factor that encouraged us to consider the exact asymptotic stability region of the considered systems [31] [32].…”

Section: Simulation Resultsmentioning

confidence: 99%

Validity of Approach to Maximize the ASR of the Order Superiorly Two in Discrete Nonlinear Systems

Charfeddine¹,

Sbita²

2014

IJMNTA

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This paper is, in fact, a proposal of a polynomial approach to the nonlinear systems control by using the concept of linearization by state feedback. In this context, a discretization method is presented. We developed a discrete control scheme based on an approximate feedback linearization method and the reversing trajectory method. The proposed control strategy sits on the methods of widening the stability domains of operating points. Such domains are expanded through the use of the non Lyapunov stability synthesis methods. Additionally, the developed technique is employed for the control of the class of systems with an order higher than two; more precisely, the example of a synchronous generator featured in a strongly nonlinear model.

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Section: Simulation Resultsmentioning

confidence: 99%

Validity of Approach to Maximize the ASR of the Order Superiorly Two in Discrete Nonlinear Systems

Charfeddine¹,

Sbita²

2014

IJMNTA

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“…3) zero. For the generator buses, dei/dt can be replaced byw, since 0, is the phase angle of the internal induced voltage for generator i, and Eq.…”

mentioning

confidence: 99%

The development of equivalent system technique for deriving an energy function reflecting transfer conductances

Moon

Cho

Rho

et al. 1999

IEEE Trans. Power Syst.

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This paper shows that a well-defined energy function can be developed to reflect the transfer conductances for multi-machine power systems under an assumption that all transmission lines have uniform WX ratios. The energy function is derived by introducing a pure reactive equivalent system for the given system. In this study, a static energy function reflecting transfer conductances is also derived as well as the transient energy function. The proposed static energy function is applied to voltage stability analysis and tested for various sample systems. The test results show that the accuracy of voltage stability analysis can be considerably improved by reflecting transfer conductances into the energy function.

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“…Although one of these papers [28] does not assume negligible transfer conductances, the interconnections between machines is assumed to be smaller than is practical. Other investigations, which include nontrivial transfer conductances, have either approximated the effect of the energy of the transfer conductances in a semi-direct method [49] or have considered the transfer conductances as a perturbation [30].…”

Section: Power Systemsmentioning

confidence: 99%

Stability of power systems and other systems of second order differential equations

Skar

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Approximation of an energy function in transient stability analysis of power systems

Cited by 28 publications

References 2 publications

Validity of Approach to Maximize the ASR of the Order Superiorly Two in Discrete Nonlinear Systems

Validity of Approach to Maximize the ASR of the Order Superiorly Two in Discrete Nonlinear Systems

The development of equivalent system technique for deriving an energy function reflecting transfer conductances

Stability of power systems and other systems of second order differential equations

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