A Practical Method for the Direct Analysis of Transient Stability

Athay, T.; Podmore, Robin; Virmani, S.

doi:10.1109/tpas.1979.319407

Cited by 939 publications

(421 citation statements)

References 5 publications

Supporting

Mentioning

382

Contrasting

Unclassified

Order By: Relevance

“…The variables are well known in power grid stability analysis as the COA (Center-OfAngle) or COI (Center-Of-Inertia) variables (Athay et al 1979;Kundur 1994). Time evolution of these variables, called collective dynamics, of the loop grid is given by the equations …”

Section: Collective Dynamicsmentioning

confidence: 99%

“…The derivation of the reduced dynamical system (24) for collective variables does not depend on network properties such as topology and strength of interconnections (Athay et al 1979;Pai 1989). The generators are denoted by circled numbers (weight).…”

Section: Remarksmentioning

confidence: 99%

“…4 we showed that CSI involved the divergent motion in the projection of the full-system dynamics onto the phase plane of collective variables. The collective variables are known as the COA (Center-Of-Angle) variables (Athay et al 1979). Here we discuss the relationship between the phenomena uncovered in the loop grid and observed in Fig.…”

Section: Collective Dynamicsmentioning

confidence: 99%

“…In Peponides et al (1982) the authors apply the singular perturbation technique to the nonlinear swing equations and obtain a set of variables with different time scales that consists of the slow inter-area variable and fast inter-machine ones. For the example in Peponides et al (1982), the slow inter-area mode is described by the Center-Of-Angle (COA) variables (Athay et al 1979) or Center-Of-Inertia (COI) variables (Kundur 1994) (see Sect. 4.1 for the definition).…”

Section: Introductionmentioning

confidence: 99%

“…5 we analyze the CSI phenomenon in the New England (NE) 39-bus test system. The NE test system is a well-known benchmark system (Athay et al 1979) and exhibits coupled swing dynamics of 10 synchronous machines. We present simulations of short-term swing dynamics of synchronous generators in the NE test system using the nonlinear swing equations.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Coherent Swing Instability of Power Grids

2011

View full text Add to dashboard Cite

We interpret and explain a phenomenon in short-term swing dynamics of multi-machine power grids that we term the Coherent Swing Instability (CSI). This is an undesirable and emergent phenomenon of synchronous machines in a power grid, in which most of the machines in a sub-grid coherently lose synchronism with the rest of the grid after being subjected to a finite disturbance. We develop a minimal mathematical model of CSI for synchronous machines that are strongly coupled in a loop transmission network and weakly connected to the infinite bus. This model provides a dynamical origin of CSI: it is related to the escape from a potential well, or, more precisely, to exit across a separatrix in the dynamical system for the amplitude of the weak nonlinear mode that governs the collective motion of the machines. The linear oscillations between strongly coupled machines then act as perturbations on the nonlinear mode. Thus we reveal how the three different mode oscillations-local plant, inter-machine, and inter-area modes-interact to destabilize a power grid. Furthermore, we present a phenomenon of short-term swing dynamics in the New England (NE) 39-bus test system, which is a well-known benchmark model for power grid sta- bility studies. Using a partial linearization of the nonlinear swing equations and the proper orthonormal decomposition, we show that CSI occurs in the NE test system, because it is a dynamical system with a nonlinear mode that is weak relative to the linear oscillatory modes.

show abstract

Section: Collective Dynamicsmentioning

confidence: 99%

Section: Remarksmentioning

confidence: 99%

Section: Collective Dynamicsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Coherent Swing Instability of Power Grids

2011

View full text Add to dashboard Cite

show abstract

Transmission Open Access

David

Wen

2001

Power System Restructuring and Deregulation

View full text Add to dashboard Cite

Power System Stability

Chiang

1999

Wiley Encyclopedia of Electrical and Electronics Engineering

View full text Add to dashboard Cite

The sections in this article are Power System Stability Problems The Time‐Domain Approach Direct Methods Direct Methods for Differential Algebraic Equation Systems BCU Method On‐Line Dynamic Security Assessments Voltage Stability Some Further Developments

show abstract

A Practical Method for the Direct Analysis of Transient Stability

Cited by 939 publications

References 5 publications

Coherent Swing Instability of Power Grids

Coherent Swing Instability of Power Grids

Transmission Open Access

Power System Stability

Contact Info

Product

Resources

About