Study of a coherency-based simple dynamic equivalent for transient stability assessment

Miah, A.M.

doi:10.1049/iet-gtd.2010.0314

Cited by 36 publications

(16 citation statements)

References 35 publications

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“…The dynamic model of a nonlinear autonomous system is given byẋ (t) = f (x(t)) (1) where, x(t) ∈ R n is the state vector of system. The KL decomposition can be described as the following: for a given set in R n , the core idea is to find an r -dimensional subspace R r , which makes the error of projecting set in R n onto R r the minimum.…”

Section: The Karhunen-loeve (Kl) Decompositionmentioning

confidence: 99%

“…Many researches have been conducted in this field, such as dynamic equivalents [1][2][3], model analysis [4,5] and identification [6,7], singular perturbation techniques [8], Hankel norm approximation [9], balanced realization approach [10], etc. There are already some effective theories and applications published on linear power system model reduction.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear power system model reduction based on empirical Gramians

Zhao

Xiaoming

Ren

2017

Journal of Electrical Engineering

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An effective nonlinear model reduction approach, empirical Gramians balanced reduction approach, is studied, to reduce the computation complexity in nonlinear power system model application. The realization procedure is: firstly, computing the empirical controllable and observable Gramians matrices of nonlinear power system model, secondly, by these two matrices, computing the balance transformation matrix to obtain the balanced system model of the original model, then, computing the controllable and observable matrices of the balanced system to obtain the diagonal Hankel singular matrix. Finally, deciding the lower-order subspace to obtain the reduced power system model. A 15-machine power system model is taken as an example to perform the reduction simulation analysis.K e y w o r d s: power system, nonlinear model reduction, empirical Gramians, balanced truncation

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Section: The Karhunen-loeve (Kl) Decompositionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonlinear power system model reduction based on empirical Gramians

Zhao

Xiaoming

Ren

2017

Journal of Electrical Engineering

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“…It should be noted that the parameters in the following equations are per unit values based on the system base. Supposing there are N generators in a separate local lower voltage network, the swing equation of the rotor of the ith generator can be represented as follows [15,30]:…”

Section: Dynamic Aggregation Of Generatorsmentioning

confidence: 99%

Dynamic reduction of large-scale AC/DC power systems via retaining the trunk network

Weng¹,

Xu²

2012

International Journal of Electrical Power & Energy Systems

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“…Thus, reducing a large number of generators into respective groups on the basis of their dynamic similarity (or coherency) greatly reduces the order of the system and the computational effort in stability studies. Several methods to determine coherency-based dynamic equivalents in power systems have been reported in the literature [9][10][11][12]. One method, well established in existing power system literature, is the slow-coherency-based approach [9,[13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Balanced Truncation Approach to Power System Model Order Reduction

Ghosh

Senroy

2013

Electric Power Components and Systems

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This article demonstrates the application of balanced truncation based model order reduction to the task of dynamic reduction of power systems. The entire power system is separated into an external area and a study area; dynamic reduction of the external area is conducted. The benefit of applying the balanced truncation technique is that key input-output relationships between these areas are retained during the reduction process. For perturbations originating in the study area, patterns in the dynamic behavior of the external area, such as generator coherency, are well captured by the reduced equivalent. The efficiency of the balanced truncation algorithm is also explored in the context of changing system conditions. Illustrative applications using a test system representative of the northern grid of India have led to some key findings on the coherency of the generators in this grid.

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Study of a coherency-based simple dynamic equivalent for transient stability assessment

Cited by 36 publications

References 35 publications

Nonlinear power system model reduction based on empirical Gramians

Nonlinear power system model reduction based on empirical Gramians

Dynamic reduction of large-scale AC/DC power systems via retaining the trunk network

Balanced Truncation Approach to Power System Model Order Reduction

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