Development of newton-raphson power-flow method based on second order multiplier

Abokrisha, Mohamed; Diaa, Ahmed M.; Selim, Ali; Kamel, Salah

doi:10.1109/mepcon.2017.8301299

Cited by 11 publications

(4 citation statements)

References 11 publications

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“…In response, the NR method was proposed to improve the convergence characteristics of the GS method [1]. The power-flow calculations with the NR method can converge within a low number of iterations, often mitigating or avoiding these shortcomings (e.g., the convergence property) [1], [2]. Additionally, the NR method is relatively easier to build the bus admittance matrix (i.e., Ybus), ensuring high accuracy and fast convergence [1], [3].…”

Section: A Previous Studiesmentioning

confidence: 99%

Singularity Handling for Unbalanced Three-Phase Transformers in Newton-Raphson Power Flow Analyses Using Moore-Penrose Pseudo-Inverse

Jang

Kim

2023

IEEE Access

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Power systems consist of generators, transformers, loads, and distributed power sources interconnected through lines. The reliable operation of the system requires that voltage and current magnitudes, angles, and power flow are within allowable ranges. Several methodologies have been proposed to solve the power flow consisting of nonlinear algebraic equations. Among them, the Newton-Raphson method is widely used due to its simplicity in building the bus admittance matrix, high accuracy, and fast convergence. However, the method has several limitations, such as singularity issues that occur when some or all Jacobian matrix elements become zero. This prevents the power flow calculation from converging since the inversion of the Jacobian matrix cannot be obtained. To address this limitation, this study proposes a novel and robust power flow calculation methodology that can solve singularities for various ill conditions using the Moore-Penrose Pseudo-inverse. This method improves the classical Newton-Raphson method by addressing its shortcomings. The performance of the proposed algorithm was evaluated using various testbeds, including balanced and unbalanced radial systems, a large-scale power grid, and systems with ungrounded transformers. The accuracy of the proposed algorithm was verified by comparing the power flow calculation with DIgSILENT Power Factory. The testbed consisted of modified IEEE 4-, 13-, 37-, and 69bus systems.INDEX TERMS Moore-Penrose Pseudo-inverse, Newton-Raphson method, Power flow analysis, Singularity, Three-phase transformer.

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Section: A Previous Studiesmentioning

confidence: 99%

Singularity Handling for Unbalanced Three-Phase Transformers in Newton-Raphson Power Flow Analyses Using Moore-Penrose Pseudo-Inverse

Jang

Kim

2023

IEEE Access

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“…The relative permeability of the stator, field, and damper wind- ings is equal to 1, and the electrical resistivity is equal to 1.75 × 10 -8 Ω⋅m. The Newton-Raphson method is used to solve the non-linear equations [24]. The simulation time-step size is 0.4 ms.…”

Section: Example Of Internal-fault Simulationmentioning

confidence: 99%

Application of rotating coupling time‐step finite element method in synchronous generators’ internal faults simulation

Xiao

Liu

et al. 2021

IET Science Measure & Tech

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A precise simulation of the internal faults of synchronous generators is very important for designing the main protection scheme; therefore, it is necessary to propose an accurate model. The time-step finite element method is quite qualified for analysing problems related to the transient electromagnetic field, including the internal faults of synchronous generators. This paper presents a new time-step method, which employs a rotation coupling technique to handle rotor motion. By using this technique, the rotor remains stationary during the process of the simulation, and the motion problem becomes simple and can be conveniently implemented with a programming process. Simulation and experimental results for the internal faults of an experimental machine are compared to verify the accuracy of the rotation coupling time-step method. Moreover, a 300 MW salient pole synchronous generator is used as an example, and the transient process of this generator during internal faults is simulated. The air gap flux density, fault currents, damper windings eddy current losses, and core dynamic electromagnetic force are investigated in detail to reveal the fault characteristics more clearly and provide a basis for designing protection schemes. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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“…The calculation model proposed for the evaluation of technical losses in sub-transmission networks of Holguín province is described in equation (6).…”

Section: Model Developmentmentioning

confidence: 99%

“…To know the status of the technical losses in the system, the literature used computational tools such as Radial, DIgSILENT PowerFactory, CYMDIST based on detailed calculation methods for this purpose, such as Gauss -Seidel methods, Newton Raphson methods and other traditional methods such as the Ardvinson method, among others [6,7].…”

Section: Introductionmentioning

confidence: 99%

Mathematical Model for the Evaluation of Technical Losses in Sub transmission Electrical Networks

Maliuk¹,

Maliukr²,

Pérez³

et al. 2020

IJETAE

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According to studies carried out, it is estimated that electrical losses due to ohmic effect in conductors can reach up to 70% of the total losses in electrical systems. In the work, a mathematical model is established for the evaluation of technical losses in subtransmission networks of the Holguín province, which considers the effective length of the circuit, the resistance in the conductors and the number of clients connected to said circuit. This calculation model allows, on the basis of the general information available from the circuit (global information), to evaluate the losses, establishing certain simplifications with respect to traditional methods. The results obtained were verified with those of the Radial software. The statistical results indicate that there are no significant differences in means, so the model calculates practical results similar to Radial.

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Development of newton-raphson power-flow method based on second order multiplier

Cited by 11 publications

References 11 publications

Singularity Handling for Unbalanced Three-Phase Transformers in Newton-Raphson Power Flow Analyses Using Moore-Penrose Pseudo-Inverse

Singularity Handling for Unbalanced Three-Phase Transformers in Newton-Raphson Power Flow Analyses Using Moore-Penrose Pseudo-Inverse

Application of rotating coupling time‐step finite element method in synchronous generators’ internal faults simulation

Mathematical Model for the Evaluation of Technical Losses in Sub transmission Electrical Networks

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