Hybrid Model for Cascading Outage in a Power System: A Numerical Study

Susuki, Yoshihiko; Yu, Tao; Hikihara, Takashi

doi:10.1587/transfun.e92.a.871

Cited by 16 publications

(16 citation statements)

References 25 publications

(52 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Note that now under this rescaling, the coefficient κ appears in front of both coupling derivative terms of eq. (14), which allows us to cast the equations in the Hamiltonian form.…”

Section: Beam Modelmentioning

confidence: 99%

“…Disregarding damping terms and the period forcing in (14) without self-coupling, we may rewrite the governing equations for the ith energy harvester in vector form as…”

Section: Hamiltonian Formulationmentioning

confidence: 99%

“…Nowadays, integrable systems arise naturally at various length scales: in molecular dynamics [3], underwater vehicle dynamics [4], in magnetic-and electric-field sensors [5][6][7][8], hydroelastic rotating systems and boats/ships [9][10][11][12], in complex systems such as telecommunication infrastructures [13], and in power grids [14]. In this manuscript we present a review of the analysis of two seemingly unrelated arrays of N mechanical systems: one of vibratory gyroscopes [12,[15][16][17] and the other of energy harvester devices [18,19].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Hamiltonian approach to model and analyse networks of nonlinear oscillators: Applications to gyroscopes and energy harvesters

et al. 2015

View full text Add to dashboard Cite

Over the past twelve years, ideas and methods from nonlinear dynamics system theory, in particular, group theoretical methods in bifurcation theory, have been used to study, design, and fabricate novel engineering technologies. For instance, the existence and stability of heteroclinic cycles in coupled bistable systems has been exploited to develop and deploy highly sensitive, lowpower, magnetic and electric field sensors. Also, patterns of behaviour in networks of oscillators with certain symmetry groups have been extensively studied and the results have been applied to conceptualize a multifrequency up/down converter, a channelizer to lock into incoming signals, and a microwave signal generator at the nanoscale. In this manuscript, a review of the most recent work on modelling and analysis of two seemingly different systems, an array of gyroscopes and an array of energy harvesters, is presented. Empirical values of operational parameters suggest that damping and external forcing occur at a lower scale compared to other parameters, so that the individual units can be treated as Hamiltonian systems. Casting the governing equations in Hamiltonian form leads to a common approach to study both arrays. More importantly, the approach yields analytical expressions for the onset of bifurcations to synchronized oscillations. The expressions are valid for arrays of any size and the ensuing synchronized oscillations are critical to enhance performance.

show abstract

“…Note that now under this rescaling, the coefficient κ appears in front of both coupling derivative terms of eq. (14), which allows us to cast the equations in the Hamiltonian form.…”

Section: Beam Modelmentioning

confidence: 99%

“…Disregarding damping terms and the period forcing in (14) without self-coupling, we may rewrite the governing equations for the ith energy harvester in vector form as…”

Section: Hamiltonian Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Hamiltonian approach to model and analyse networks of nonlinear oscillators: Applications to gyroscopes and energy harvesters

et al. 2015

View full text Add to dashboard Cite

show abstract

“…Considering its hybrid nature, several researchers proposed to adopt mixed logical dynamical systems [31] and the theory of hybrid systems [32], [33], [34], [35] in modeling, analysis and control of power systems, see Ref. [36], [37], [38], [39] and references therein. Through proper modeling of the system dynamics, the dynamic security analysis problem could be formulated and addressed as a reachability problem of the associated hybrid model [40], [41].…”

Section: Introductionmentioning

confidence: 99%

Dynamic Security Analysis of Power Systems by a Sampling-Based Algorithm

Koo

Susuki

2018

ACM Trans. Cyber-Phys. Syst.

Self Cite

View full text Add to dashboard Cite

Dynamic security analysis is an important problem of power systems on ensuring safe operation and stable power supply even when certain faults occur. No matter such faults are caused by vulnerabilities of system components, physical attacks, or cyber-attacks that are more related to cyber-security, they eventually affect the physical stability of a power system. Examples of the loss of physical stability include the Northeast blackout of 2003 in North America and the 2015 system-wide blackout in Ukraine. The nonlinear hybrid nature, that is, nonlinear continuous dynamics integrated with discrete switching, and the high degree of freedom property of power system dynamics make it challenging to conduct the dynamic security analysis. In this paper, we use the hybrid automaton model to describe the dynamics of a power system and mainly deal with the index-1 differential-algebraic equation models regarding the continuous dynamics in different discrete states. The analysis problem is formulated as a reachability problem of the associated hybrid model. A sampling-based algorithm is then proposed by integrating modeling and randomized simulation of the hybrid dynamics to search for a feasible execution connecting an initial state of the post-fault system and a target set in the desired operation mode. The proposed method enables the use of existing power system simulators for the synthesis of discrete switching and control strategies through randomized simulation. The effectiveness and performance of the proposed approach are demonstrated with an application to the dynamic security analysis of the New England 39-bus benchmark power system exhibiting hybrid dynamics. In addition to evaluating the dynamic security, the proposed method searches for a feasible strategy to ensure the dynamic security of the system in face of disruptions.

show abstract

“…We refer to data on a cascading outage in the September 2003 blackout in Italy [7] and show a hybrid dynamical model by which propagation of outages reproduced is consistent with the data. Note that the contents of this paper have been submitted to archival journal [14].…”

Section: Introductionmentioning

confidence: 99%

Hybrid dynamical system as model for cascading outage in a power system

Susuki

Hikihara

2008

2008 40th North American Power Symposium

Self Cite

View full text Add to dashboard Cite

This paper uses hybrid dynamical systems as a mathematical model for cascading outages in a power system. Hybrid dynamical systems can combine families of flows describing swing dynamics of generators with switching rules describing protection control mechanisms. We refer to data observed in a cascading outage in the September 2003 blackout in Italy and show a hybrid dynamical system by which propagation of outages reproduced is consistent with the data.

show abstract

Hybrid Model for Cascading Outage in a Power System: A Numerical Study

Cited by 16 publications

References 25 publications

A Hamiltonian approach to model and analyse networks of nonlinear oscillators: Applications to gyroscopes and energy harvesters

A Hamiltonian approach to model and analyse networks of nonlinear oscillators: Applications to gyroscopes and energy harvesters

Dynamic Security Analysis of Power Systems by a Sampling-Based Algorithm

Hybrid dynamical system as model for cascading outage in a power system

Contact Info

Product

Resources

About