A spectral divide and conquer method based preconditioner design for power flow analysis

Dağ, Hasan; Yetkin, Emrullah Fatih

doi:10.1109/powercon.2010.5666015

Cited by 2 publications

(2 citation statements)

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“…In the proposed method, the extreme eigenvalues of the Jacobian matrix are removed with a spectral preconditioner. The proposed preconditioner is mainly based on the idea given in [11,12], yet it is computationally more effective and efficient. The method has similar needs as the preconditioner given in [12], such as rough data about the distribution of the eigenvalues of matrix A.…”

Section: Introductionmentioning

confidence: 99%

A sparsity-preserving spectral preconditioner for power flow analysis

Yetkin¹,

Dağ²

2016

Turk J Elec Eng & Comp Sci

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Due to the ever-increasing demand for more detailed and accurate power system simulations, the dimensions of mathematical models increase. Although the traditional direct linear equation solvers based on LU factorization are robust, they have limited scalability on the parallel platforms. On the other hand, simulations of the power system events need to be performed at a reasonable time to assess the results of the unwanted events and to take the necessary remedial actions. Hence, to obtain faster solutions for more detailed models, parallel platforms should be used. To this end, direct solvers can be replaced by Krylov subspace methods (conjugate gradient, generalized minimal residuals, etc.). Krylov subspace methods need some accelerators to achieve competitive performance. In this article, a new preconditioner is proposed for Krylov subspace-based iterative methods. The proposed preconditioner is based on the spectral projectors. It is known that the computational complexity of the spectral projectors is quite high. Therefore, we also suggest a new approximate computation technique for spectral projectors as appropriate eigenvalue-based accelerators for efficient computation of power flow problems. The convergence characteristics and sparsity structure of the preconditioners are compared to the well-known black-box preconditioners, such as incomplete LU, and the results are presented.

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Section: Introductionmentioning

confidence: 99%

A sparsity-preserving spectral preconditioner for power flow analysis

Yetkin¹,

Dağ²

2016

Turk J Elec Eng & Comp Sci

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“…Parallel processing schemes were exploited in [16][17][18][19][20][21] to accelerate the computation of the power flow solution. In [22][23][24], different versions of the generalized minimal residual method equipped with some accelerating schemes were used to speed up the traditional Newton method.…”

Section: Introductionmentioning

confidence: 99%

A novel efficient model for the power flow analysis of power systems

Safdarian¹,

Fotuhi‐Firuzabad²,

Aminifar³

2015

Turk J Elec Eng & Comp Sci

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Abstract:The overall system status calculated by power flow analysis is the most basic information used for all decisions taken by power system operators and planners. While conventional AC power flow solutions are computationally tractable, approximate DC models are employed in many applications, such as optimal power flow studies and unit commitment problems, mainly due to the linear nature of DC models. These models do not provide any information on the reactive power and voltage magnitude quantities and occasionally inaccurate results of the active power values. This paper presents an efficient power flow approach compromising both the conflicting aspects of speed and accuracy.The proposed model adopts bus voltage magnitudes and phase angles as state variables. Given the nonlinear nature of transmission system losses, an iterative method for solving the problem is proposed. Simulation results reveal that the proposed method outperforms conventional methods from an execution time viewpoint, while preserving acceptable accuracy. Different system conditions are also investigated to reveal the robustness and reliability of the proposed model.

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A spectral divide and conquer method based preconditioner design for power flow analysis

Cited by 2 publications

References 10 publications

A sparsity-preserving spectral preconditioner for power flow analysis

A sparsity-preserving spectral preconditioner for power flow analysis

A novel efficient model for the power flow analysis of power systems

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