High-Fidelity Model Order Reduction for Microgrids Stability Assessment

Vorobev, Petr; Huang, Po-Hsu; Hosani, Mohamed Al; Kirtley, James L.; Turitsyn, Konstantin

doi:10.1109/tpwrs.2017.2707400

Cited by 171 publications

(159 citation statements)

References 35 publications

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“…As power inverters can be controlled at much faster time-scales (milliseconds), the transmission line dynamics can compromise the stability of the power-network. This phenomenon has been noted in [2], [11] for a droop controlled micro-grids and can be verified experimentally for all control methods listed above. In [12] small signal stability analysis for a steady state with no power flow is used to obtain insightful stability conditions for droop control in combination with a dynamic line model.…”

Section: Introductionsupporting

confidence: 66%

“…For every inverter with index k ∈ N , we propose the decentralized dispatchable virtual oscillator control (dVOC): (11) with gains η > 0, α > 0, and…”

Section: Controller and Closed Loop Designmentioning

confidence: 99%

“…The set-points are ω 0 = 2π50, v = 1, and the steady-state angles are θ 21 = θ 31 = 1 • . Each inverter implements the control law (11). We chose α = 5, and, from Theorem 2, we obtain a guarantee of synchronization for η ≤ 2.9 • 10 −4 .…”

Section: Power Systems Test-casementioning

confidence: 99%

See 2 more Smart Citations

The effect of transmission-line dynamics on a globally synchronizing controller for power inverters

Brouillon

Colombino

Groß

et al. 2018

2018 European Control Conference (ECC)

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In this work, we analyze a dispatchable virtual oscillator control (dVOC) strategy for grid-forming power inverters that ensures almost global synchronization of inverterbased AC power systems when the dynamics of the transmission network are neglected, i.e., if an algebraic model of the transmission lines is used. While this approximation is often justified for conventional power systems, the dynamics of the transmission lines can compromise the stability of an inverterbased power system. Therefore, in this article, we use tools from singular perturbation theory to construct a Lyapunov function candidate and explicit bounds on the controller gains that guarantee global convergence to the set of steady-states for the full power-system with transmission line dynamics. Moreover, we show that the only undesirable steady-state is unstable.

show abstract

Section: Introductionsupporting

confidence: 66%

“…For every inverter with index k ∈ N , we propose the decentralized dispatchable virtual oscillator control (dVOC): (11) with gains η > 0, α > 0, and…”

Section: Controller and Closed Loop Designmentioning

confidence: 99%

See 1 more Smart Citation

The effect of transmission-line dynamics on a globally synchronizing controller for power inverters

Brouillon

Colombino

Groß

et al. 2018

2018 European Control Conference (ECC)

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“…Similar remarks have been pointed out for microgrids consisted solely of inverters based on droop [26] and dispatchable virtual oscillator control [27]. While we solely focus on frequency dynamics in this example, it should be noted that the voltage stability could also be assessed using the proposed approach, as indicated in [26]- [28].…”

Section: Timescale Separationmentioning

confidence: 61%

“…For the purposes of capturing the slow modes dynamics, it is reasonable to assume that σ l 1 holds for modes evolving on the timescales slower than the line time constant [28]. By performing a Taylor series expansion we obtain:…”

Section: Discussionmentioning

confidence: 99%

Understanding Stability of Low-Inertia Systems

Markovic¹,

Stanojev²,

Vrettos³

et al. 2019

Preprint

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A large-scale integration of renewable generation,usually interfaced to the network through power electronics,has led to an overall decrease in power system inertia. This paper presents novel insights on the fundamental stability properties of such systems. For that purpose, a uniform set of Differential-Algebraic Equations (DAEs) describing a generic,low-inertia power system has been developed. A full-order, state-of-the-art control scheme of both synchronous and converter-based generators are included, with the latter differentiating between the grid-forming and grid-following mode of operation. Furthermore, the dynamics of transmission lines and loads are captured in the model. Using modal analysis techniques such as participation factors and parameter sensitivity, we determine the most vulnerable segments of the system and investigate the adverse effects of the underlying control interference. Finally, the appropriate directions for improving the system stability margin under different generation portfolios have been proposed.

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Dynamic stability analysis of a reduced order micro‐grid bymulti‐timescale theory

Ahmadi

Kazemi

2021

Int Trans Electr Energ Syst

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In the islanded micro-grids the power cannot be exchanged by the upstream network and the system inertia level is low. Therefore, the network sensitivity to disturbances and load changes is more than the connected mode. In such situation, the system states can behave with more degree of freedom and have less dependency to total system dynamic. The variety of equipment with different dynamics and the load level uncertainty leads to continuous changes in the islanded micro-grid operating point.These changes are more considerable in the islanded micro-grid due to lack of inertia and limited stability margins. Therefore, the determination of appropriate model order for system in such way that the reduced order model keeps the essential dynamic behavior and neglects the less effective modes, is critical. Therefore, in this paper a three-step method based on multi-time scale theory and singular perturbation method is proposed for optimum model order reduction in islanded micro-grid. The proposed method is applied to a typical micro-grid with different types of DGs and loads. The load level uncertainty is modeled by probability density function (PDF) and reduced order model of system is validated in different operating scenarios by sensitivity analysis, participation factor investigation and time domain simulation.

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High-Fidelity Model Order Reduction for Microgrids Stability Assessment

Cited by 171 publications

References 35 publications

The effect of transmission-line dynamics on a globally synchronizing controller for power inverters

The effect of transmission-line dynamics on a globally synchronizing controller for power inverters

Understanding Stability of Low-Inertia Systems

Dynamic stability analysis of a reduced order micro‐grid bymulti‐timescale theory

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