The Experts below are selected from a list of 303 Experts worldwide ranked by ideXlab platform

Thomas P. Wihler - One of the best experts on this subject based on the ideXlab platform.

  • THE NEWTON–RAPHSON Method AND ADAPTIVE ODE SOLVERS
    Fractals, 2011
    Co-Authors: Hans Rudolf Schneebeli, Thomas P. Wihler
    Abstract:

    The Newton–Raphson Method for solving nonlinear equations f(x) = 0 in ℝn is discussed within the context of ordinary differential equations. This framework makes it possible to reformulate the scheme by means of an adaptive step size control procedure that aims at reducing the chaotic behavior of the original Method without losing the quadratic convergence close to the roots. The performance of the modified scheme is illustrated with a few low-dimensional examples.

I. A. Škokljev - One of the best experts on this subject based on the ideXlab platform.

  • Power system frequency estimation utilizing the Newton-Raphson Method
    Archiv für Elektrotechnik, 1994
    Co-Authors: M. B. Durić, Vladimir V. Terzija, I. A. Škokljev
    Abstract:

    ContentsThe paper describes a new algorithm for measuring frequency at a power system bus. The algorithm is based on the Newton-Raphson iterative Method using the digitized voltage samples at a relay location. The mathematical development of the algorithm is presented and the effects of key parameters that affect the performance of the algorithm are discussed. The algorithm is encompassing the Newton-Raphson Method, which is very common for load flow studies. The algorithm shows a high measurement accuracy over a wide range of frequency changes. To demonstrate the efficiency of the proposed algorithm, results of a numerical experiment are presented.ÜbersichtDer Aufsatz beschreibt einen neuen Algorithmus zur Frequenzmessung in einer Netzversorgung; dabei wird die iterative Newton-Raphson-Methode, wie sie bei Lastflußstudien üblich ist, auf digitale Meßwerte von einem Abzweig im Netz angewendet. Nach Darstellung des mathematischen Algorithmus' wird der Einfluß der wichtigsten Parameter diskutiert. Der Algorithmus zeigt über einen weiten Bereich der Frequenzänderung eine hohe Meßgenauigkeit. Ein numerisches Beispiel belegt die Leistungsfähigkeit der vorgeschlagenen Methode.

  • Power system frequency estimation utilizing the Newton-Raphson Method
    Archiv für Elektrotechnik, 1994
    Co-Authors: M. B. Durić, Vladimir V. Terzija, I. A. Škokljev
    Abstract:

    The paper describes a new algorithm for measuring frequency at a power system bus. The algorithm is based on the Newton-Raphson iterative Method using the digitized voltage samples at a relay location. The mathematical development of the algorithm is presented and the effects of key parameters that affect the performance of the algorithm are discussed. The algorithm is encompassing the Newton-Raphson Method, which is very common for load flow studies. The algorithm shows a high measurement accuracy over a wide range of frequency changes. To demonstrate the efficiency of the proposed algorithm, results of a numerical experiment are presented.

Quan Nguyen - One of the best experts on this subject based on the ideXlab platform.

  • Minimum volume of the longitudinal fin with rectangular and triangular profile by a modified Newton-Raphson Method
    2016
    Co-Authors: Quan Nguyen, Son Hoai Nguyen, Tuan Quoc Nguyen
    Abstract:

    The minimum volume of nonlinear longitudinal fin with rectangular and triangular profile by using the modified Newton-Raphson Method is present in this paper. The dimension of the fin profile is regarded as optimization variables. Furthermore, a mechanism called “volume updating” is added into the modified Newton-Raphson algorithm to obtain the minimum volume of the fin. Two examples are illustrated to demonstrate the proposed Method. The obtained results showed that the proposed Method use efficiently and accurately in finding the minimum volume of the nonlinear longitudinal fin problem with the rectangular and triangle profile.

  • design of a longitudinal cooling fin with minimum volume by a modified newton raphson Method
    Applied Thermal Engineering, 2016
    Co-Authors: Quan Nguyen, Ching-yu Yang
    Abstract:

    Abstract In this paper, the minimal volume of nonlinear longitudinal cooling fin design problem by using a modified Newton–Raphson Method is presented. The profile of the fin is built by B-spline curve in which the control points of the B-spline curve are regarded as optimization variables. Additionally, a mechanism called “volume updating” is added into the modified Newton–Raphson algorithm to obtain the minimum volume of the fin. Four cases with the different boundary conditions and thermal properties of the longitudinal fin are presented to demonstrate the proposed Method. The results show that the optimal fin obtained by the proposed Method is in good agreement with Schmidt's (1926) result and is better than that of Azarkish, et al. (2010). It is concluded that the B-spline with the second degree and three control points could be used enough to find the minimum volume of the longitudinal fin for the linear and nonlinear fin design problems. From the results obtained in four cases, it appears that the proposed Method is an efficient and accurate Method in finding the minimum volume of the nonlinear longitudinal cooling fin design problem.

  • Design of a longitudinal cooling fin with minimum volume by a modified Newton–Raphson Method
    Applied Thermal Engineering, 2016
    Co-Authors: Quan Nguyen, Ching-yu Yang
    Abstract:

    Abstract In this paper, the minimal volume of nonlinear longitudinal cooling fin design problem by using a modified Newton–Raphson Method is presented. The profile of the fin is built by B-spline curve in which the control points of the B-spline curve are regarded as optimization variables. Additionally, a mechanism called “volume updating” is added into the modified Newton–Raphson algorithm to obtain the minimum volume of the fin. Four cases with the different boundary conditions and thermal properties of the longitudinal fin are presented to demonstrate the proposed Method. The results show that the optimal fin obtained by the proposed Method is in good agreement with Schmidt's (1926) result and is better than that of Azarkish, et al. (2010). It is concluded that the B-spline with the second degree and three control points could be used enough to find the minimum volume of the longitudinal fin for the linear and nonlinear fin design problems. From the results obtained in four cases, it appears that the proposed Method is an efficient and accurate Method in finding the minimum volume of the nonlinear longitudinal cooling fin design problem.

Vladimir V. Terzija - One of the best experts on this subject based on the ideXlab platform.

  • Power system frequency estimation utilizing the Newton-Raphson Method
    Archiv für Elektrotechnik, 1994
    Co-Authors: M. B. Durić, Vladimir V. Terzija, I. A. Škokljev
    Abstract:

    ContentsThe paper describes a new algorithm for measuring frequency at a power system bus. The algorithm is based on the Newton-Raphson iterative Method using the digitized voltage samples at a relay location. The mathematical development of the algorithm is presented and the effects of key parameters that affect the performance of the algorithm are discussed. The algorithm is encompassing the Newton-Raphson Method, which is very common for load flow studies. The algorithm shows a high measurement accuracy over a wide range of frequency changes. To demonstrate the efficiency of the proposed algorithm, results of a numerical experiment are presented.ÜbersichtDer Aufsatz beschreibt einen neuen Algorithmus zur Frequenzmessung in einer Netzversorgung; dabei wird die iterative Newton-Raphson-Methode, wie sie bei Lastflußstudien üblich ist, auf digitale Meßwerte von einem Abzweig im Netz angewendet. Nach Darstellung des mathematischen Algorithmus' wird der Einfluß der wichtigsten Parameter diskutiert. Der Algorithmus zeigt über einen weiten Bereich der Frequenzänderung eine hohe Meßgenauigkeit. Ein numerisches Beispiel belegt die Leistungsfähigkeit der vorgeschlagenen Methode.

  • Power system frequency estimation utilizing the Newton-Raphson Method
    Archiv für Elektrotechnik, 1994
    Co-Authors: M. B. Durić, Vladimir V. Terzija, I. A. Škokljev
    Abstract:

    The paper describes a new algorithm for measuring frequency at a power system bus. The algorithm is based on the Newton-Raphson iterative Method using the digitized voltage samples at a relay location. The mathematical development of the algorithm is presented and the effects of key parameters that affect the performance of the algorithm are discussed. The algorithm is encompassing the Newton-Raphson Method, which is very common for load flow studies. The algorithm shows a high measurement accuracy over a wide range of frequency changes. To demonstrate the efficiency of the proposed algorithm, results of a numerical experiment are presented.

  • An algorithm for frequency relaying based on the Newton-Raphson Method
    Electric Power Systems Research, 1994
    Co-Authors: Milenko B. Djurić, Vladimir V. Terzija
    Abstract:

    Abstract This paper presents a new digital algorithm for real-time estimation of the frequency at a power system bus. The algorithm is based on the Newton-Raphson Method, which is very commonly used in load flow studies, and uses digitized samples of voltage at a relay location. The mathematical development of the algorithm is presented and the effects of key parameters affecting the performance of the algorithm are discussed. The algorithm showed high measurement accuracy over a wide range of frequency changes, even in the case of harmonic-distorted input signal processing. The presented work is part of a project concerning the development of numerical algorithms in frequency relaying. The algorithm presented could also be used for the identification and measurement of power system harmonics. Results of numerical tests are presented to demonstrate the properties of the proposed algorithm.

Hieu Le Nguyen - One of the best experts on this subject based on the ideXlab platform.

  • Newton-Raphson Method in complex form [power system load flow analysis]
    IEEE Transactions on Power Systems, 1997
    Co-Authors: Hieu Le Nguyen
    Abstract:

    A new algorithm that may be used for the solution of three-phase (or unsymmetrical) power flow analyses of both power transmission or distribution systems under unsymmetrical operating conditions and power quality problems, is presented. This technique is both new and robust, and is developed on the basis of the extension of the Newton-Raphson Method and its Jacobian in a complex form, that gives the solutions in a whole phasor format. A comparative example is presented to illustrate the convergence characteristics of the proposed numerical Method.

  • Newton-Raphson Method in complex form [power flow analysis]
    Proceedings of 1996 Transmission and Distribution Conference and Exposition, 1
    Co-Authors: Hieu Le Nguyen
    Abstract:

    A new algorithm that is used for the solution of three-phase (or unsymmetrical) power flow analysis of both transmission or distribution systems under unsymmetrical operating conditions and power quality problems, is presented. This is new and robust, and is developed on the extension of the Newton-Raphson Method and its Jacobian in complex form, that gives the solutions in whole phasor format. A comparative example is presented to illustrate the convergence characteristics of proposed Method.