2012 IEEE Power and Energy Society General Meeting 2012
DOI: 10.1109/pesgm.2012.6344785
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A comparative study of two model order reduction approaches for application in power systems

Abstract: The objective of this paper, is to compare two mathematical model order reduction (MOR) approaches -Balanced Truncation and Krylov subspace. The application of these approaches to large power systems is studied. The main focus has been to show how the two approaches are effective in finding dynamic patterns such as coherency between generators. The performance has been studied under changing system damping conditions. Index Terms-Balanced Truncation (BT), Krylov subspace, Hankel Singular Values (HSV), Model or… Show more

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Cited by 17 publications
(4 citation statements)
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“…The main goal of a MOR methodology is to replace the original high-order system model with a reduced-dimensional model, while keeping a good approximation of the dynamic response of the original. MOR techniques have been studied extensively in the literature based on Balanced-truncation [23]- [26] and Krylov subspace methodologies [23], [27]- [29]. However, the simplified network models built based on MOR and the aforementioned equivalent circuit techniques are valid only for one specific operating point.…”
Section: Takedown Policymentioning
confidence: 99%
See 1 more Smart Citation
“…The main goal of a MOR methodology is to replace the original high-order system model with a reduced-dimensional model, while keeping a good approximation of the dynamic response of the original. MOR techniques have been studied extensively in the literature based on Balanced-truncation [23]- [26] and Krylov subspace methodologies [23], [27]- [29]. However, the simplified network models built based on MOR and the aforementioned equivalent circuit techniques are valid only for one specific operating point.…”
Section: Takedown Policymentioning
confidence: 99%
“…Based on more than 10 4 numerical simulations completed in this research, the above assumption is correct for over 90% of cases. The kinematics concepts in (22) can then be represented by eigenvalue sensitivity, with parameters mapping shown in (23).…”
Section: ) Determination Of Key Eigenvaluementioning
confidence: 99%
“…Only those states are retained whose Hankel singular value (HSV) are relatively high. BT algorithm, a popular procedure for model approximation, requires a state truncation of a system which is represented in balanced state space form [9]- [10]. A brief exposition of the BT algorithm is provided in this section.…”
Section: Model Order Reduction Approaches and Controller Designmentioning
confidence: 99%
“…These methods are suitable for stability analysis, steady state power flow for security assessment and control applications. Generator aggregation based in coherency approach (Chow, Galarza, Accari & Price, 1995) (Milano & Srivastava, 2009), modal analysis (Chaniotis & Pai, 2005) (Ghosh & Senroy, 2012) and identification approach (Ramirez, 1999) were widely used, in contrast to the equivalents of loads that was less analyzed. This has been sustained by the uncertainty in the composition and diverse characteristics of loads that do not allow to define an adequate and accurate model.…”
Section: Introductionmentioning
confidence: 99%