A Systematic Method to Model Power Systems as Stochastic Differential Algebraic Equations

Milano, Federico; Zárate-Miñano, Rafael

doi:10.1109/tpwrs.2013.2266441

Cited by 237 publications

(143 citation statements)

References 33 publications

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“…where ⌘ M is a white noise as in [28] with standard deviation M , andp g T andp l T are piece-wise constant functions that account for uncertainty and change randomly with a period T as discussed in [29]. The noise is modeled as a single stochastic algebraic variable as the behavior of the MG depends on the difference p net = p g p l and not on their absolute values.…”

Section: Microgrid Modelmentioning

confidence: 99%

Stochastic Frequency Control of Grid-Connected Microgrids

Ferraro

Crisostomi

Shorten

et al. 2018

IEEE Trans. Power Syst.

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Abstract-This paper proposes a stochastic control strategy, namely the unsynchronized Addictive Increase Multiplicative Decrease (AIMD) algorithm, to manage the power flow of interconnected microgrids (MGs). The proposed control aims at achieving a trade-off between the individual utility function of each MG while ensuring the stability of the grid. Both centralized and decentralized AIMD approaches are considered and compared. Extensive Monte Carlo simulations are performed on the IEEE 39-bus system, and show that the proposed control strategy is able to provide the sought trade-off.

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Section: Microgrid Modelmentioning

confidence: 99%

Stochastic Frequency Control of Grid-Connected Microgrids

Ferraro

Crisostomi

Shorten

et al. 2018

IEEE Trans. Power Syst.

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“…The grid model is formulated as a set of stochastic differential-algebraic equations as discussed in [15].…”

Section: Contributionsmentioning

confidence: 99%

Modeling, simulation and comparison of control techniques for energy storage systems

Ortega

Milano

2017

2017 IEEE Manchester PowerTech

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Abstract-This paper describes the modeling and formulation of a variety of deterministic techniques for energy storage devices, namely the PI, H-infinity and sliding mode controllers. These techniques are defined based on a general, yet detailed, energy storage device model, which is accurate for transient stability analysis. The paper also presents a thorough statistical comparison of the performance and robustness of the considered control techniques, using stochastic dynamic models and a variety of disturbances and scenarios. The case study is based on a 1,479-bus model of the all-island Irish transmission system and an energy storage device actually installed in the system.

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“…The stochastic perturbations can be originated by loads variations, renewable energy power injections, transient rotor vibrations of synchronous machines, measurement errors of control devices, etc. [22] [23]. In this paper, we are interested in the stochastic perturbations like load variations and renewable energy power injections, which can be modeled as the Ornstein-Uhlenbeck process, which is stationary, Gaussian and Markovian [23] [24]:…”

Section: Mechanisms Of Sustained Oscillationsmentioning

confidence: 99%

Data-driven diagnostics of mechanism and source of sustained oscillations

Wang

Turitsyn

2016

2016 IEEE Power and Energy Society General Meeting (PESGM)

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Abstract-Sustained oscillations observed in power systems can damage equipment, degrade the power quality and increase the risks of cascading blackouts. There are several mechanisms that can give rise to oscillations, each requiring different countermeasure to suppress or eliminate the oscillation. This work develops mathematical framework for analysis of sustained oscillations and identifies statistical signatures of each mechanism, based on which a novel oscillation diagnosis method is developed via realtime processing of phasor measurement units (PMUs) data. Case studies show that the proposed method can accurately identify the exact mechanism for sustained oscillation, and meanwhile provide insightful information to locate the oscillation sources.

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A Systematic Method to Model Power Systems as Stochastic Differential Algebraic Equations

Cited by 237 publications

References 33 publications

Stochastic Frequency Control of Grid-Connected Microgrids

Stochastic Frequency Control of Grid-Connected Microgrids

Modeling, simulation and comparison of control techniques for energy storage systems

Data-driven diagnostics of mechanism and source of sustained oscillations

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