Robust three phase fast decoupled power flow

Bijwe, P.R.; Abhijith, B.; Raju, G. K. Viswanadha

doi:10.1109/psce.2009.4840149

Cited by 6 publications

(10 citation statements)

References 17 publications

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“…where U = −Y Im and U is built taking the elements of −Y Im that correspond to the PV nodes. Later, FDLF has been developed for unbalanced radial distribution system [131], three phase distribution networks [74] and for transmission system using an optimal multiplier [10]. From the mathematical point of view, some authors have addressed its theoretical background [78,120].…”

Section: Gauss-seidel and Newton-raphson Methodsmentioning

confidence: 99%

Algebraic and Parametric Solvers for the Power Flow Problem: Towards Real-Time and Accuracy-Guaranteed Simulation of Electric Systems

García-Blanco

Dı́ez

Borzacchiello

et al. 2017

Arch Computat Methods Eng

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The power flow model performs the analysis of electric distribution and transmission systems. With this statement at hand, in this work we present a summary of those solvers for the power flow equations, in both algebraic and parametric version. The application of the Alternating Search Direction method to the power flow problem is also detailed. This results in a family of iterative solvers that combined with Proper Generalized Decomposition technique allows to solve the parametric version of the equations. Once the solution is computed using this strategy, analyzing the network state or solving optimization problems, with inclusion of generation in real-time, becomes a straightforward procedure since the parametric solution is available. Complementing this approach, an error strategy is implemented at each step of the iterative solver. Thus, error indicators are used as an stopping criteria controlling the accuracy of the approximation during the construction process. The application of these methods to the model IEEE 57-bus network is taken as a numerical illustration.

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Section: Gauss-seidel and Newton-raphson Methodsmentioning

confidence: 99%

Algebraic and Parametric Solvers for the Power Flow Problem: Towards Real-Time and Accuracy-Guaranteed Simulation of Electric Systems

García-Blanco

Dı́ez

Borzacchiello

et al. 2017

Arch Computat Methods Eng

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show abstract

“…wherė= [̇̇] . It is evident that the solutions of algebraic equation 7correspond to the equilibrium points of the ordinary differential equation defined in (9). A solution of algebraic equation is exactly an equilibrium point of the ordinary differential equation.…”

Section: Fractal Convergence Boundariesmentioning

confidence: 99%

“…Since power flow calculation started in 1956 [1][2][3], a variety of numerical methods have been developed for power flow study, such as Gauss method [1], Newton method [4], and fast decoupled method [5]. Over the past 20 years, Newton method and its variations are widespread, utilized, and enhanced [6][7][8][9][10][11]. Power flow study (or load flow study) is the determination of steady-state conditions of a power system for a specified power generation and load demand.…”

Section: Introductionmentioning

confidence: 99%

Convergence Region of Newton Iterative Power Flow Method: Numerical Studies

Deng

Chiang

2013

Journal of Applied Mathematics

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Power flow study plays a fundamental role in the process of power system operation and planning. Of the several methods in commercial power flow package, the Newton-Raphson (NR) method is the most popular one. In this paper, we numerically study the convergence region of each power flow solution under the NR method. This study of convergence region provides insights of the complexity of the NR method in finding power flow solutions. Our numerical studies confirm that the convergence region of NR method has a fractal boundary and find that this fractal boundary of convergence regions persists under different loading conditions. In addition, the convergence regions of NR method for power flow equations with different nonlinear load models are also fractal. This fractal property highlights the importance of choosing initial guesses since a small variation of an initial guess near the convergence boundary leads to two different power flow solutions. One vital variation of Newton method popular in power industry is the fast decoupled power flow method whose convergence region is also numerically studied on an IEEE 14-bus test system which is of 22-dimensional in state space.

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“…To overcome the aforementioned difficulties, various tricks have so far been proposed in the literature. To reduce the probability of divergence of the power flow problem, specifically in abnormal operating situations and ill-conditioned systems, the following techniques were employed: optimization techniques and mathematical procedures such as Levenberg-Marquardt [3], quadratic programming [4], nonlinear programming (NLP) [5], principal component analysis [6], the optimal multiplier method [7], and heuristic methods such as genetic algorithm [2], particle swarm optimization [8], and biogeography-based optimization [9]. These techniques, despite an acceptable performance in reducing the risk of divergence, are still of very low convergence speed.…”

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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Robust three phase fast decoupled power flow

Cited by 6 publications

References 17 publications

Algebraic and Parametric Solvers for the Power Flow Problem: Towards Real-Time and Accuracy-Guaranteed Simulation of Electric Systems

Algebraic and Parametric Solvers for the Power Flow Problem: Towards Real-Time and Accuracy-Guaranteed Simulation of Electric Systems

Convergence Region of Newton Iterative Power Flow Method: Numerical Studies

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

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