An integrated scheme for on-line static and transient stability constrained ATC calculations

Pavella, M.; Ruiz-Vega, D.; Giri, J.; Avila-Rosales, R.

doi:10.1109/pess.1999.784358

Cited by 13 publications

(2 citation statements)

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“…A somewhat less general indicator of dynamic stability, called the extended equal area criterion (EEAC), has been developed in [2], based on clustering of multimachine systems to an equivalent single-machine infinite bus (SMIB). The EEAC has been successfully used for studies of transient stability constrained power systems, e.g., for contingency screening, corrective control, and available transfer capability (ATC) calculations [3]. Significant research has been devoted to the dynamic aspects of voltage stability.…”

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confidence: 99%

Energy-Based Stability Margin Computation Incorporating Effects of ULTCs

Gibescu

Liu

Hashimoto

et al. 2005

IEEE Trans. Power Syst.

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Abstract-This paper introduces a new definition and computation method for the energy margin as a means to quantify the degree of stability of a dynamic power system model. The method is based on detailed device modeling that spans both transient and midterm time scales and includes effects of under-load tap-changer (ULTC) actions. The energy margin is defined as the minimum distance in potential energy space between the first-and second-kick trajectories, where the latter is chosen to be marginally stable. A generalized second-kick design is proposed. This consists of a combination of a load-step first kick and a three-phase fault second kick, applied at a time instant when the system is "closest" to the boundary of the stability region. The value of the energy margin is tracked through various tap-changer configurations. Thus, situations where ULTC actions are detrimental to stability can be uncovered, and "optimal" tap positions can be found. The concept is first illustrated on a single-machine infinite bus (SMIB); then, results are shown for a ten-bus voltage stability test system and for a modified version of the standard IEEJ 60-Hz test system, where some loads are fed through step-down ULTCs.Index Terms-Energy function, power systems dynamic stability, second-kick method, under-load tap changers (ULTCs).

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confidence: 99%

Energy-Based Stability Margin Computation Incorporating Effects of ULTCs

Gibescu

Liu

Hashimoto

et al. 2005

IEEE Trans. Power Syst.

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“…There are a number of papers published in this area since 1999 [57][58][59][60][61][62][63]. Pavella et al [57,59] proposed an integrated OPF based scheme to calculate on-line ATC while meeting static and transient stability constraints. The approach uses the output of the state estimator to compute the operating condition while ensuring maximum power transfer on predetermined tie lines.…”

Section: Atc=ttc-trm-etc (Including Cbm)mentioning

confidence: 99%

Interior point based optimal voltage stability, oscillatory stability and ATC margin boundary tracing

Zhou

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Modern Power Systems Analysis

2008

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Small-signal stability analysis is about power system stability when subject to small disturbances. If power system oscillations caused by small disturbances can be suppressed, such that the deviations of system state variables remain small for a long time, the power system is stable. On the contrary, if the magnitude of oscillations continues to increase or sustain indefinitely, the power system is unstable. Power system small-signal stability is affected by many factors, including initial operation conditions, strength of electrical connections among components in the power system, characteristics of various control devices, etc. Since it is inevitable that power system operation is subject to small disturbances, any power system that is unstable in terms of small-signal stability cannot operate in practice. In other words, a power system that is able to operate normally must first be stable in terms of small-signal stability. Hence, one of the principal tasks in power system analysis is to carry out small-signal stability analysis to assess the power system under the specified operating conditions.The dynamic response of a power system subject to small disturbances can be studied by using the method introduced in Chap. 7 to determine system stability. However, when we use the method for power system small-signal stability analysis, in addition to slow computational speed, the weakness is that after a conclusion of instability is drawn, we cannot carry out any deeper investigation into the phenomenon and cause of system instability. The Lyapunov linearized method has provided a very useful tool for power system small-signal stability analysis. Based on the fruitful results of eigensolution analysis of linear systems, the Lyapunov linearized method has been widely used in power system small-signal stability analysis. In the following, we shall first introduce the basic mathematics of power system small-signal stability analysis.The Lyapunov linearized method is closely related to the local stability of nonlinear systems. Intuitively speaking, movement of a nonlinear system over a small range should have similar properties to its linearized approximation. To study the stability of the nonlinear system at point x e(1) If the linearized system is asymptotically stable, i.e., all eigenvalues of A have negative real parts, the actual nonlinear system is asymptotically stable at the equilibrium point. (2) If the linearized system is unstable, i.e., at least one of eigenvalues of A has a positive real part, the actual nonlinear system is unstable at the equilibrium point. (3) If the linearized system is critically stable, i.e., real parts of all eigenvalues of A are nonpositive but the real part of at least one of them is zero, no conclusion can be drawn about the stability of the nonlinear system from its linearized approximation.The basic principle of the Lyapunov linearized method is to draw conclusions about the local stability of the nonlinear system around the equilibrium point from the stability of its linear ap...

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An integrated scheme for on-line static and transient stability constrained ATC calculations

Cited by 13 publications

References 4 publications

Energy-Based Stability Margin Computation Incorporating Effects of ULTCs

Energy-Based Stability Margin Computation Incorporating Effects of ULTCs

Interior point based optimal voltage stability, oscillatory stability and ATC margin boundary tracing

Modern Power Systems Analysis

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