Voltage dynamics: study of a generator with voltage control, transmission, and matched MW load

Venkatasubramanian, V.; Schättler, Heinz; Zaborszky, J.

doi:10.1109/9.173142

Cited by 106 publications

(30 citation statements)

References 18 publications

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“…For example, in the case of Jordan block 0 1 0 0 , there are Hopf and saddle connection bifurcations nearby (see [44, section 7.3]). This bifurcation is codimension 2 but can occur in power system models (see point A in [45]). …”

Section: A Definitions and Lemmasmentioning

confidence: 99%

The irrelevance of electric power system dynamics for the loading margin to voltage collapse and its sensitivities

Dobson

2011

NOLTA

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Abstract:The loading margin to a saddle-node or fold bifurcation measures the proximity to voltage collapse blackouts of electric power transmission systems. Sensitivities of the loading margin can be used to select controls to avoid voltage collapse. We analytically justify the use of static models to compute loading margins and their sensitivities and explain how the results apply to underlying dynamic models. The relation between fold bifurcations of the static models and saddle-node bifurcations of the underlying dynamic models is clarified.

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Section: A Definitions and Lemmasmentioning

confidence: 99%

The irrelevance of electric power system dynamics for the loading margin to voltage collapse and its sensitivities

Dobson

2011

NOLTA

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“…Such quantitative information of voltage instability is important for operations of power systems. Unfortunately, it cannot be obtained with the previous methods [19], [20], [21], because they cannot fully handle the hybrid nature of voltage dynamics. Detailed simulations in power system analyzers are also used for voltage stability analysis.…”

Section: Remarksmentioning

confidence: 99%

“…This aspect of voltage problem is formulated in [1] as the problem of determining the size and shape of stability region. There are some previous works [19], [20], [21] on the transient voltage instability via energy functions.…”

Section: Remarksmentioning

confidence: 99%

“…1. The SMLB system is given by Venkarasbramanian et al [20] and consists of a synchronous machine, a load bus, and ac transmission lines. The aim of this application is to investigate whether the bus voltage of load reaches unacceptable levels, depending on a relay operation and continuous dynamics of synchronous machine.…”

Section: Systemmentioning

confidence: 99%

“…1: (a) two routes Single machine-load bus (SMLB) system and control action following hybrid voltage dynamics. The SMLB system is given by Venkarasbramanian et al [20] and consists of a synchronous machine, a load bus, and ac transmission lines. One transmission route with two lines is tripped at time tc(> 0 s) by relay devices.…”

Section: Systemmentioning

confidence: 99%

See 2 more Smart Citations

Predicting Voltage Instability of Power System via Hybrid System Reachability Analysis

Susuki¹,

Hikihara²

2007

2007 American Control Conference

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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.

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Bibliography

2017

Power System Dynamics and Stability: With Synchrophasor Measurement and Power System Toolbox 2e

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Voltage dynamics: study of a generator with voltage control, transmission, and matched MW load

Cited by 106 publications

References 18 publications

The irrelevance of electric power system dynamics for the loading margin to voltage collapse and its sensitivities

The irrelevance of electric power system dynamics for the loading margin to voltage collapse and its sensitivities

Predicting Voltage Instability of Power System via Hybrid System Reachability Analysis

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