Power System Stability

Chiang, Hsiao‐Dong

doi:10.1002/047134608x.w6220

Cited by 31 publications

(36 citation statements)

References 86 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Swing instability of electric power grids is a nonlinear phenomenon in which a synchronous rotating machine loses synchronism after an unexpected disturbance [1][2][3]. This phenomenon is regarded as a part of the generating mechanism of wide-area blackouts as typified by the September 2003 blackout in Italy [4].…”

Section: Introductionmentioning

confidence: 99%

“…This phenomenon is regarded as a part of the generating mechanism of wide-area blackouts as typified by the September 2003 blackout in Italy [4]. It is mainly governed by oscillations of relative rotor angles between different rotating machines in the short-term regime (0 to 10 seconds [1,2]) and is mathematically investigated by the so-called nonlinear swing equations [1,2]. Analysis of the equations, which especially deals with statespace dynamics far from equilibria, is hence needed for understanding the swing instability: see e.g.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Decomposition of energy function and hierarchical diagnosis of power grid swing instabilities

Kojima

Susuki

Tsumura

et al. 2016

NOLTA

View full text Add to dashboard Cite

This paper considers an electric power grid with multiple synchronous machines exhibiting coupled swing dynamics and aims at developing a hierarchical diagnosis of loss of transient stability of the machines, which we term as swing instabilities. We introduce a standard energy function for the power grid and decompose it into individual energy functions of a collective system of the grid, of the motions relative to the collective system, and of the infinite bus. This decomposition enables us to extract distinctive behaviors embedded in the swing instabilities in terms of energy. We numerically apply the individual energy functions in the proposed decomposition to analysis of swing instabilities in the IEEE New England 39-bus test system. We then propose a hierarchical diagnosis of the swing instabilities based on the decomposition and discuss its validity by approximating the individual energy functions along solutions representing the grid's instabilities.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Decomposition of energy function and hierarchical diagnosis of power grid swing instabilities

Kojima

Susuki

Tsumura

et al. 2016

NOLTA

View full text Add to dashboard Cite

show abstract

“…The so-called transient stability analysis is associated with the ability of a power grid to maintain synchronism when subjected to a large disturbance (Kundur 1994;Chiang 1999; IEEE/CIGRE Joint Task Force on Stability Terms and Definitions 2004). Loss of transient stability is recognized as one cause of large blackouts such as the September 2003 blackout in Italy (Corsi and Sabelli 2004;Andersson et al 2005).…”

Section: Introductionmentioning

confidence: 99%

“…Loss of transient stability is recognized as one cause of large blackouts such as the September 2003 blackout in Italy (Corsi and Sabelli 2004;Andersson et al 2005). Transient stability is mainly governed by oscillations of relative rotor angles between different rotating machines in the short-term regime (0 to 10 seconds (Kundur 1994)) and is mathematically investigated by the so-called nonlinear swing equations (Kundur 1994;Chiang 1999). This mathematical model is similar to equations of motion for coupled mechanical pendulums and is valid because, for a balanced power grid, the dynamics can be described by the relative rotor angles and amplitudes of machine voltages, and in the short-term regime the amplitudes can be assumed to be stationary.…”

Section: Introductionmentioning

confidence: 99%

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

“…Voltage instability is concerned with a power system's ability to maintain acceptable levels of voltages, following a load variation or event disturbance [1]. The instability implies in this paper that a power system is under unacceptable levels of voltages.…”

Section: Introductionmentioning

confidence: 99%

Predicting Voltage Instability of Power System via Hybrid System Reachability Analysis

Susuki¹,

Hikihara²

2007

2007 American Control Conference

View full text Add to dashboard Cite

Abstract-Estimating voltage instability of power systems is important for reduction of large blackouts. This paper proposes to use reachability analysis of hybrid systems for predicting voltage instability of a power system. The reachability analysis is performed by computing backward reachable sets for unsafe sets of hybrid automata. The automata represent continuous voltage dynamics and discrete operations by relay devices. The unsafe sets of hybrid automata are also subsets of state space in which a system voltage shows unacceptable levels such as low or high values. With single machine-load bus (SMLB) system with controlled route switching, we show that voltage instability in the SMLB system can be predicted using the reachability analysis. The obtained result implies that voltage instability leading to large blackouts is possibly detected before its occurrence in power systems.

show abstract

Power System Stability

Abstract: 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 more

Cited by 31 publications

References 86 publications

Decomposition of energy function and hierarchical diagnosis of power grid swing instabilities

Decomposition of energy function and hierarchical diagnosis of power grid swing instabilities

Coherent Swing Instability of Power Grids

Predicting Voltage Instability of Power System via Hybrid System Reachability Analysis

Contact Info

Product

Resources

About