Power Flow Solution by Newton's Method

Tinney, W.F.; Hart, Clifford E.

doi:10.1109/tpas.1967.291823

Cited by 1,032 publications

(451 citation statements)

References 15 publications

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“…Due to its simplicity, uncomplicatedness and strong convergence, the Newton-Raphson method is the most useful and preferable method for calculation of the highest networks power flow [6,7]. This approach uses iteration to solve the following set of non-linear algebraic equations:…”

Section: Building Of Jacobian Matrix Including Facts Controllersmentioning

confidence: 99%

Enhancement of power flow using FACTS systems

Sekhane¹,

Djamel²

2017

GJCS

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In this paper, both standard IEEE test systems 57-bus and Algerian 59-bus are considered. To enhance the power flow of these two considerable networks in terms of voltage profile and reduce the real and reactive total transmission losses, the inclusion of flexible alternating current transmission systems (FACTS) devices is one of the best solutions. For this, a static synchronous compensator (STATCOM) is proposed. Our code is written in the MATLAB computing environment, based on finding the weakest buses in the network, and placing one or two STATCOMs in an appropriate place; in the next step, there would be recalculation of the power flow again. The results of power flow compared with the popular MATPOWER software environment show the exactitude of our code calculation, and the enhancement of voltage profile, especially in buses where STATCOM is placed. Furthermore, the reduction of real and reactive losses shows the effectiveness of the FACTS device proposed.

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Section: Building Of Jacobian Matrix Including Facts Controllersmentioning

confidence: 99%

Enhancement of power flow using FACTS systems

Sekhane¹,

Djamel²

2017

GJCS

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“…[1][2][3][4][5]. Para peneliti ini telah mengusulkan metode atau teknik yang didasarkan pada skema iteratif Newton-Raphson.…”

Section: Tinjauan Pustakaunclassified

Solusi Aliran Daya Untuk Sistem Distribusi Tak Seimbang dengan Menggunakan Metode Trust-Region

Gianto

Khwee

2016

JNTE

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Abstrak-Pada penelitian ini, telah dibahas penggunaan dari metode trust-region untuk menyelesaikan masalah aliran daya pada sistem distribusi tak-seimbang. Metode yang diusulkan tersebut telah berhasil diaplikasikan pada pada tiga buah sistem distribusi tak-seimbang yaitu: sistem 10-bus, 19-bus dan 25-bus. Hasil-hasil penelitian memperlihatkan bahwa nilai-nilai yang diperoleh melalui metode trust-region adalah sangat sesuai dengan nilai-nilai yang didapat melalui metode lain yang sebelumnya telah dipublikasikan Kata Kunci : aliran daya, sistem distribusi, metode trust-regionAbstract-In this research, the trust-region method has been proposed for solving the power flow problem of an unbalanced distribution system. The proposed method has been successfully applied in solving the power flow problems of three unbalanced distribution networks, i.e. 10-bus, 19-bus and 25-bus systems. The results of investigation obtained by the proposed method were compared to the previously reported results and were found to be in exact agreement

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“…Além disso, as topologias dos sistemas elé-tricos de potência e a estrutura de blocos da matriz Jacobiana proporcionaram a aplicação de técnicas de programação esparsa para a otimização do processamento matemático (Tinney, 1967). …”

Section: Metodologia Propostaunclassified

Cálculo do fluxo de harmônicos em sistemas de potência trifásicos utilizando o método de injeção de correntes com solução iterativa

Variz

Carneiro

Pereira

et al. 2008

Sba Controle & Automação

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RESUMOEste trabalho apresenta uma metodologia, baseada nas equações de injeção de correntes (MICT), para o cálculo do fluxo de potência harmônico trifásico em sistemas elétricos equilibrados e desequilibrados (MICTH). A metodologia desenvolvida emprega o método iterativo de Newton-Raphson para obter a solução do sistema de equações não-lineares, onde o sistema matricial é formado por blocos relativos às freqüên-cias harmônicas investigadas. Dessa maneira é possível representar as interações entre as componentes harmônicas de diferentes freqüências. ABSTRACTThis work presents a methodology, based on the current injection equations (MICT), for the calculus of the harmonic power flow in three-phase, balanced and unbalanced, electric power systems (MICTH). The developed methodology uses the Newton-Raphson method to obtain the solution of a set of non-linear equations, where the matrix system is built in a blocked form for each harmonic frequency. This mathematical approach permits to represent the interaction between harmonic components of different frequencies. It was also developed models for the main linear and nonlinear devices connected to the electric power systems. The MICTH (Three-Phase Harmonic Current Injection Method)

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Power Flow Solution by Newton's Method

Cited by 1,032 publications

References 15 publications

Enhancement of power flow using FACTS systems

Enhancement of power flow using FACTS systems

Solusi Aliran Daya Untuk Sistem Distribusi Tak Seimbang dengan Menggunakan Metode Trust-Region

Cálculo do fluxo de harmônicos em sistemas de potência trifásicos utilizando o método de injeção de correntes com solução iterativa

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