Systematic modeling and symbolically assisted simulation of power systems

Hiskens, Ian A.; Sokolowski, Peter

doi:10.1109/59.918291

Cited by 37 publications

(16 citation statements)

References 5 publications

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“…Direct computation. By utilizing an object oriented modelling structure [Hiskens and Sokolowski, 2001], second derivative terms occur only within components. There are no terms introduced by inter-component dependencies.…”

Section: Algorithmmentioning

confidence: 99%

Shooting Methods for Locating Grazing Phenomena in Hybrid Systems

Donde

Hiskens

2006

Int. J. Bifurcation Chaos

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Hybrid systems are typified by strong coupling between continuous dynamics and discrete events. For such piecewise smooth systems, event triggering generally has a significant influence over subsequent system behaviour. Therefore it is important to identify situations where a small change in parameter values alters the event triggering pattern. The bounding case, which separates regions of (generally) quite different dynamic behaviour, is referred to as grazing. At a grazing point, the system trajectory makes tangential contact with an event triggering hypersurface. The paper formulates conditions governing grazing points. Both transient and periodic behaviour are considered. The resulting boundary value problems are solved using shooting methods that are applicable for general nonlinear hybrid (piecewise smooth) dynamical systems. The grazing point formulation underlies the development of a continuation process for exploring parametric dependence. It also provides the basis for an optimization technique that finds the smallest parameter change necessary to induce grazing. Examples are drawn from power electronics, power systems and robotics, all of which involve intrinsic interactions between continuous dynamics and discrete events.

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Section: Algorithmmentioning

confidence: 99%

Shooting Methods for Locating Grazing Phenomena in Hybrid Systems

Donde

Hiskens

2006

Int. J. Bifurcation Chaos

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“…2) Direct computation. By utilizing an object oriented modeling structure [15], second derivative terms occur only within components. There are no terms introduced by inter-component dependencies.…”

Section: Shooting Methods 1) Algorithmmentioning

confidence: 99%

“…Full details of the DAIS model can be found in [12] and [15]. It should be emphasized that the DAIS model is nothing more than a formalization of simulation models that are used for practical power system simulation.…”

Section: A Hybrid System Representationmentioning

confidence: 99%

Dynamic Performance Assessment: Grazing and Related Phenomena

Donde

Hiskens

2005

IEEE Trans. Power Syst.

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Abstract-Performance specifications place restrictions on the dynamic response of many systems, including power systems. Quantitative assessment of performance requires knowledge of the bounding conditions under which specifications are only just satisfied. In many cases, this limiting behavior can be related to grazing phenomena, where the system trajectory makes tangential contact with a performance constraint. Other limiting behavior can be related to time-driven event triggering. In all cases, pivotal limiting conditions can be formulated as boundary value problems. Numerical shooting methods provide efficient solution of such problems. Dynamic performance assessment is illustrated in the paper using examples drawn from protection operation, transient voltage overshoot, and induction motor stalling.

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“…This situation is impossible, of course; the trajectory is not defined (in the usual sense) beyond such an impasse. The WTG model (1)- (11), (97)-(106) has been formulated according to the differentialalgebraic impulsive switched (DAIS) structure described in [20,23]. A subtle (but technically important) modification was required however.…”

Section: Hybrid System Modelmentioning

confidence: 99%

Strategies for Voltage Control and Transient Stability Assessment

Hiskens¹

2013

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Systematic modeling and symbolically assisted simulation of power systems

Cited by 37 publications

References 5 publications

Shooting Methods for Locating Grazing Phenomena in Hybrid Systems

Shooting Methods for Locating Grazing Phenomena in Hybrid Systems

Dynamic Performance Assessment: Grazing and Related Phenomena

Strategies for Voltage Control and Transient Stability Assessment

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