Dynamic equivalencing of distribution networks with dispersed generation using Hankel norm approximation
27 Aug 2007-Iet Generation Transmission & Distribution (Institution of Engineering and Technology (IET))-Vol. 1, Iss: 5, pp 818-825
TL;DR: In this article, a brief review of existing techniques for aggregation and order-reduction of distribution networks with dispersed generators is provided, and the dynamic reduction using Hankel norm approximation is performed for a 10 kV distribution network, which includes DG of different types.
Abstract: Nowadays the number of dispersed generators (DGs) is growing rapidly. This change will greatly influence power system dynamics. A distribution network, where DGs are connected to the grid, cannot be considered as passive anymore. Therefore, in the future it will not be possible to use simple equivalents of distribution networks for power system dynamic modelling, as it was done before. At the same time, the whole power system cannot generally be represented in a detailed manner for dynamic studies because of huge system dimension. Therefore special techniques have to be applied for aggregation and order-reduction of distribution networks with DG. A brief review of existing techniques is provided here, and the dynamic reduction using Hankel norm approximation is performed for a 10 kV distribution network, which includes DG of different types.
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References
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TL;DR: In this paper, a complete characterization of all rational functions that minimize the Hankel-norm is derived, and the solution to the latter problem is via results on balanced realizations, all-pass functions and the inertia of matrices, all in terms of the solutions to Lyapunov equations.
Abstract: The problem of approximating a multivariable transfer function G(s) of McMillan degree n, by Ĝ(s) of McMillan degree k is considered. A complete characterization of all approximations that minimize the Hankel-norm is derived. The solution involves a characterization of all rational functions Ĝ(s) + F(s) that minimize where Ĝ(s) has McMillan degree k, and F(s) is anticavisal. The solution to the latter problem is via results on balanced realizations, all-pass functions and the inertia of matrices, all in terms of the solutions to Lyapunov equations. It is then shown that where σ k+1(G(s)) is the (k+l)st Hankel singular value of G(s) and for one class of optimal Hankel-norm approximations. The method is not computationally demanding and is applied to a 12-state model.
2,980 citations
"Dynamic equivalencing of distributi..." refers methods in this paper
...BASICS OF HANKEL NORM APPROXIMATION Algorithm of Hankel norm approximation [8] is shown graphically in Figure 1....
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613 citations
"Dynamic equivalencing of distributi..." refers background in this paper
...5 MW squirrel-cage induction generator wind turbine (detailed model description can be found in [10]) and 3....
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27 Oct 2000TL;DR: In this article, model and controller reduction based on Coprime Factorization (CF) is proposed for low-order controller design, where the model is reduced by multiplicative approximation and the controller is reduced based on time factorization.
Abstract: 1 Methods for Model Reduction.- 2 Multiplicative Approximation.- 3 Low Order Controller Design.- 4 Model and Controller Reduction Based On Coprime Factorizations.
570 citations
TL;DR: In this article, the authors presented simplified slow dynamic models for microturbines and fuel cells and evaluated their stand-alone dynamic performances in a distribution system embedded with a micro-turbine plant and an integrated fuel cell power plant.
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TL;DR: In this article, the authors describe the development and evaluation of a method for identifying the coherency behavior of generators for various power system disturbances and use this information as a basis for forming dynamic equivalents which can be applied in transient stability studies.
Abstract: This paper describes the development and evaluation of a method for identifying the coherency behavior of generators for various power system disturbances. This information is used as a basis for forming dynamic equivalents which can be applied in transient stability studies.
364 citations