Obtaining dynamic equivalents through the minimization of a line flows function

Arredondo, J.M. Ramirez

doi:10.1016/s0142-0615(99)00005-8

Cited by 20 publications

(3 citation statements)

References 12 publications

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“…As introduced in refs. [7,9] and based on the classification by previous studies, [10][11][12][13] methods to create EDAM can be categorized in methods for networks with conventional generation only, i.e., coherency and modal-based approaches, [14,15] and for networks with both conventional generation and CBG. The latter is relevant for stability studies of future power systems dominated by CBG.…”

Section: Classificationmentioning

confidence: 99%

Evaluation of Equivalent Dynamic Active Distribution Network Models with Individual and Aggregated Consideration of Grid Forming Converters

Ungerland

Lens

2023

Energy Tech

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Detailed active distribution network modeling in the context of stability studies of future power systems can be avoided by applying complexity‐reduced equivalent dynamic models. Previous work developed an approach to derive such equivalent dynamic network models of systems dominated by grid following and grid forming converters. Nevertheless, this approach lacks an investigation of the aggregation of multiple grid forming converters to one equivalent component. Also, the approach needs to be evaluated for a closed ring topology to substantiate its validity independent of the detailed network topology. This work applies and validates the developed approach on active distribution networks in the context of three scenarios. The detailed and equivalent network models are simulated for three events and the results are used to compare the models with respect to accuracy and complexity. The derived equivalent dynamic network models with an individual representation of grid forming converters reproduce the dynamic behavior of the corresponding detailed networks very well. The aggregation of grid forming converters results in an adequate reproduction of the detailed network's dynamic behavior under the constraint of aggregating only neighboring grid forming converters of one branch. This allows for the consideration of the detailed network's topology in the corresponding equivalent dynamic model.

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Section: Classificationmentioning

confidence: 99%

Evaluation of Equivalent Dynamic Active Distribution Network Models with Individual and Aggregated Consideration of Grid Forming Converters

Ungerland

Lens

2023

Energy Tech

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“…By introducing the conformable fractional derivative and the conformable fractional integral into two‐machine interconnected power system, the conformable fractional‐order two‐machine interconnected power system 40 is defined as

({, \begin{matrix} left \\ array T_{t_{0}}^{q} x_{1} = x_{2} \\ array T_{t_{0}}^{q} x_{2} = c x_{2} + f x_{3} + ρ - β s i n x_{1} \\ array T_{t_{0}}^{q} x_{3} = - ω x_{4} \\ array T_{t_{0}}^{q} x_{4} = ω x_{3} \end{matrix}),

where q is the order and c, f , ρ , β , and ω are the system parameters. The linear term, the nonlinear term, and the constant vector of the system are splited as

([], \begin{matrix} center \\ array L x_{1} \\ array L x_{2} \\ array L x_{3} \\ array L x_{4} \end{matrix}) = ([], \begin{matrix} center \\ array x_{2} \\ array c x_{2} + f x_{3} \\ array - ω x_{4} \\ array ω x_{3} \end{matrix}), ([], \begin{matrix} center \\ array N x_{1} \\ array N x_{2} \\ array N x_{3} \\ array N x_{4} \end{matrix}) = ([], \begin{matrix} center \\ array 0 \\ array - β s i n x_{1} \\ array 0 \\ array 0 \end{matrix}), ([], \begin{matrix} center \\ arra... \end{matrix})

…”

Section: Solution Of Conformable Fractional Differential Equationsmentioning

confidence: 99%

Dynamics and complexity analysis of the conformable fractional‐order two‐machine interconnected power system

2019

Math Methods in App Sciences

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In this paper, based on the Adomian decomposition method (ADM) semi analytical solution algorithm, dynamics and complexity of the conformable fractional‐order two‐machine interconnected power system are investigated numerically by the bifurcation diagram, Lyapunov exponents (LEs), chaos diagram, and modified multiscale sample entropy (MM‐SampEn) algorithm separately. The results show that the system has rich dynamics. The angular instability is found and its frequency of occurrence can be judged by the number of scrolls of the chaotic attractor. The coexisting attractors are observed by changing the initial value and the reason is discussed. The high‐complexity region is determined, and MM‐SampEn complexity can indicate different coexisting attractors of the system. The research results in this paper lay a theoretical basis for the application of the conformable fractional‐order two‐machine interconnected power system.

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“…In the equivalent system, equivalent generator represents dynamic effect of the external system on the internal system located at the boundary bus. When there are multiple boundary buses connecting the external system with the internal system, multiple generators are adopted to represent dynamic influence of the external system on the internal system, with an equivalent generator located at each boundary bus [18]. Detailed generator models have not received as much attention in system equivalents, even though the detailed models are important in power system dynamic analysis.…”

Section: A Dynamic Equivalent Modelmentioning

confidence: 99%

Dynamic Equivalents of Power System Based on Extended Two Particle Swarm Optimization

Yang

Zhang

Pan

2007

Third International Conference on Natural Computation (ICNC 2007) Vol V

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A novel methodology based on Phasor Measurement Units (PMUs) for power system dynamic equivalents is presented. In this methodology the external system is reduced dynamically using the important quantities obtained by PMUs. An extended two Particle Swarm Optimization (PSO) algorithm with the mutation operator is proposed to identify the parameters of the equivalent system. The proposed method is demonstrated and compared with the original system using the 10 machines 39 buses New England test system. The comparison shows that the proposed method can preserve the dynamic properties of the original system and has great value in engineering application.

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Obtaining dynamic equivalents through the minimization of a line flows function

Cited by 20 publications

References 12 publications

Evaluation of Equivalent Dynamic Active Distribution Network Models with Individual and Aggregated Consideration of Grid Forming Converters

Evaluation of Equivalent Dynamic Active Distribution Network Models with Individual and Aggregated Consideration of Grid Forming Converters

Dynamics and complexity analysis of the conformable fractional‐order two‐machine interconnected power system

Dynamic Equivalents of Power System Based on Extended Two Particle Swarm Optimization

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