Time-Scale Modeling of Wind-Integrated<?Pub _newline ?>Power Systems

Chandra, Souvik; Gayme, Dennice F.; Chakrabortty, Aranya

doi:10.1109/tpwrs.2016.2521403

Cited by 25 publications

(18 citation statements)

References 22 publications

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“…This model is called the one-axis model [8], [63] in the sense that its electromagnetic dynamics represent the flux variation of only the excitation winding. In [64], a further simplified (1) amortisseur effects, and (2) resistance between the generator and its bus, are negligible Assumptions:…”

Section: E Relationship Between the Standard Models Of A Synchronousmentioning

confidence: 99%

Dynamic Modeling, Stability, and Control of Power Systems With Distributed Energy Resources: Handling Faults Using Two Control Methods in Tandem

et al. 2019

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This article presents a suite of new control designs for next-generation electric smart grids. The future grid will consist of thousands of non-conventional renewable generation sources such as wind, solar, and energy storage. These new components are collectively referred to as distributed energy resources (DER). The article presents a comprehensive list of dynamic models for DERs, and shows their coupling with the conventional generators and loads. It then presents several innovative control designs that can be used for facilitating large-scale DER integration. Ideas from decentralized retrofit control and distributed sparsity-promoting optimal control are used for developing these designs, followed by illustrations on an IEEE power system test model.

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Section: E Relationship Between the Standard Models Of A Synchronousmentioning

confidence: 99%

Dynamic Modeling, Stability, and Control of Power Systems With Distributed Energy Resources: Handling Faults Using Two Control Methods in Tandem

et al. 2019

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“…Without loss of generality we assume that a wind farm is connected at the (n+1) th bus. Following [10], the farm is assumed to consist of parallel combinations of γ individual wind turbine and DFIG units. The turbine model is considered as…”

Section: A Wind Farm (Wf) Modelmentioning

confidence: 99%

“…Multiple studies have also been done on developing new control schemes for improving the steadystate and dynamic operation [6], and damping of inter-area oscillations in wind-integrated power systems [7]- [9]. In [10], an analytical framework has been developed to evaluate the effect of wind penetration on time-scale separation properties of power systems that lead to inter-area oscillations. The majority of these works describe how wind power impacts the eigenvalues of the small-signal model of a power system.…”

Section: Introductionmentioning

confidence: 99%

Modeling and Quantifying the Impact of Wind Power Penetration on Power System Coherency

Mukherjee,

Chakrabortty,

Babaei

2019

Preprint

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This paper presents a mathematical analysis of how wind generation impacts the coherency property of power systems. Coherency arises from time-scale separation in the dynamics of synchronous generators, where generator states inside a coherent area synchronize over a fast time-scale due to stronger coupling, while the areas themselves synchronize over a slower time-scale due to weaker coupling. This time-scale separation is reflected in the form of a spectral separation in the weighted Laplacian matrix describing the swing dynamics of the generators. However, when wind farms with doubly-fed induction generators (DFIG) are integrated in the system then this Laplacian matrix changes based on both the level of wind penetration and the location of the wind farms. The modified Laplacian changes the effective slow eigenspace of the generators. Depending on penetration level, this change may result in changing the identities of the coherent areas. We develop a theoretical framework to quantify this modification, and validate our results with numerical simulations of the IEEE 68-bus system with one and multiple wind farms. We compare our modelbased results on clustering with results using measurement-based principal component analysis to substantiate our derivations.

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“…Acknowledging this fact, the present paper will explore and explain the conditions and limitations of this assertion. To achieve this goal, a full theoretical analysis of the time-scale separation between the system state variables is carried out based on singular perturbation theory [20], which is widely used in the context of the dynamic analysis of power systems [21], [22], [23], [24]. Furthermore, sufficient conditions on the control gains are derived to ensure the locally asymptotic system stability by using Lyapunov theory.…”

Section: Introductionmentioning

confidence: 99%

Control-Induced Time-Scale Separation for Multiterminal High-Voltage Direct Current Systems Using Droop Control

Chen

Carrizosa

Damm

et al. 2020

IEEE Trans. Contr. Syst. Technol.

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This paper introduces a control induced timescale separation scheme for a multi-terminal high voltage direct current system, used for large scale integration of renewable energy sources. The main idea is to provide a detailed theoretical analysis, to the long stand practice that consists of empirical design of two control loops for the terminals. Experience has shown that such loops, i.e. current and voltage control loop, when heuristically tuned, often display very different dynamics. In the present paper, singular perturbation theory is applied to give explanation and fundamental analysis on why and how the two control loops work, and how to achieve the timescale separation between various state variables. Mathematical analysis is also carried out to illustrate a clear trade-off between system performance (actuator constraint) and the size of the region of attraction of the controller. Numerical simulations for a system with four terminals are presented to evaluate the system performance and illustrate the theoretical analysis.

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Time-Scale Modeling of Wind-IntegratedPower Systems

Cited by 25 publications

References 22 publications

Dynamic Modeling, Stability, and Control of Power Systems With Distributed Energy Resources: Handling Faults Using Two Control Methods in Tandem

Dynamic Modeling, Stability, and Control of Power Systems With Distributed Energy Resources: Handling Faults Using Two Control Methods in Tandem

Modeling and Quantifying the Impact of Wind Power Penetration on Power System Coherency

Control-Induced Time-Scale Separation for Multiterminal High-Voltage Direct Current Systems Using Droop Control

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