• 제목/요약/키워드: Newton-Raphson Method

검색결과 500건 처리시간 0.023초

Jacobian 행렬의 비 대각 요소를 보존시킬 수 있는 조류계산에 관한 연구 (A Study on a Load Flow calculation for Preserved Jacobian Matrix's elements except diagonal terms)

  • 문영현;이종기;최병곤;박정도;류헌수
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1998년도 추계학술대회 논문집 학회본부A
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    • pp.311-315
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    • 1998
  • Load Flow calculation methods can usually be divided into Gauss-Seidel method, Newton-Raphson method and decoupled method. Load flow calculation is a basic on-line or off-line process for power system planning, operation, control and state analysis. These days Newton-Raphson method is mainly used since it shows remarkable convergence characteristics. It, however, needs considerable calculation time in construction and calculation of inverse Jacobian matrix. In addition to that, Newton-Raphson method tends to fail to converge when system loading is heavy and system has a large R/X ratio. In this paper, matrix equation is used to make algebraic expression and then to solve load flow equation and to modify above defects. And it preserve certain part of Jacobian matrix to shorten the time of calculation. Application of mentioned algorithm to 14 bus, 39 bus, 118 bus systems led to identical result and the number of iteration got by Newton-Raphson method. The effect of time reduction showed about 28%, 30%, at each case of 39 bus, 118 bus system.

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유전 알고리즘을 이용한 6자유도 병렬형 매니퓰레이터의 순기구학 해석 (Forward kinematic analysis of a 6-DOF parallel manipulator using genetic algorithm)

  • 박민규;이민철;고석조
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
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    • pp.1624-1627
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    • 1997
  • The 6-DOF parallel manipulator is a closed-kindmatic chain robot manipulator that is capable of providing high structural rigidity and positional accuracy. Because of its advantage, the parallel manipulator have been widely used in many engineering applications such as vehicle/flight driving simulators, rogot maniplators, attachment tool of machining centers, etc. However, the kinematic analysis for the implementation of a real-time controller has some problem because of the lack of an efficient lagorithm for solving its highly nonliner forward kinematic equation, which provides the translational and orientational attitudes of the moveable upper platform from the lenght of manipulator linkages. Generally, Newton-Raphson method has been widely sued to solve the forward kinematic problem but the effectiveness of this methodology depend on how to set initial values. This paper proposes a hybrid method using genetic algorithm(GA) and Newton-Raphson method to solve forward kinematics. That is, the initial values of forward kinematics solution are determined by adopting genetic algorithm which can search grobally optimal solutions. Since determining this values, the determined values are used in Newton-Raphson method for real time calcuation.

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유한요소를 이용한 유연보의 동역학적 정식화 및 해석 (Dynamic Formulation Using Finite Element and Its Analysis for Flexible Beam)

  • 윤성호;엄기상
    • 한국전산구조공학회논문집
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    • 제18권4호통권70호
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    • pp.385-393
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    • 2005
  • 본 논문에서는 기하학적으로 비선형인 유연한 Timoshenko 보의 대변위 운동방정식에 유한요소를 사용하여 정식화하였다. 비선형 구속방정식은 라그랑지 상수를 이용하여 운동방정식에 통합되었다. 정식화하는 과정과 수치해석에서 선형과 비선형 영향을 파악하였고, 코리올리스(Coriolis)힘과 회전자(Gyroscopic)힘의 효과는 관성력과 감쇠력과는 달리 일반적인 외력으로 간주하여 해석할 수 있었다. Newmark의 시간적분과 Newton-Raphson 반복법을 사용한 수치예제를 통해 정식화의 효용성을 보여주었다.

신경망과 뉴톤 랩슨 방법을 이용한 스튜어트 플랫폼의 순기구학 해석에 관한 연구 (Study on Forward Kinematics of Stewart Platform Using Neural Network Algorithm together with Newton-Raphson Method)

  • 구상화;손권
    • 한국자동차공학회논문집
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    • 제9권1호
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    • pp.156-162
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    • 2001
  • An effective and practical method is presented for solving the forward kinematics of a 6-DOF Stewart Platform, using neural network algorithm together with Newton-Raphson method. An approximated solution is obtained from trained neural network, then it is used as an initial estimate for Newton-Raphson method. A series of accurate solutions are calculated with reasonable speed for the entire workspace of the platform. The solution procedure can be used for driving a real-time simulation platform.

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AESOPS 알고리즘의 고유치 반복계산식과 Newton Raphson법과의 비교연구 (A comparative study on the iterative eigenvalue calculation method in AESOPS algorithm and Newton Raphson Method)

  • 김덕영;권세혁
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1998년도 추계학술대회 논문집 학회본부A
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    • pp.259-262
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    • 1998
  • This paper presents a new eigenvalue calculation methods in AESOPS algorithm. The source program of the AESOPS algorithm is modified to practice in PC environment. Window95 is used as an operating system of PC and MicroSoft Power Station is used to compile the fortran source program. The heuristically approximated eigenvalue calculation method of the AESOPS algorithm is transformed to the Newton Raphson Method which is largely used in the nonlinear numerical analysis. The new methods are developed from the AESOPS algorithm and thus only a few calculation steps are added to practice the proposed algorithm.

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Software for application of Newton-Raphson method in estimation of strains in prestressed concrete girders

  • Gocic, Milan;Sadovic, Enis
    • Computers and Concrete
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    • 제10권2호
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    • pp.121-133
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    • 2012
  • Structures suffer from damages in their lifetime due to time-dependant effects, such as fatigue, creep and shrinkage, which can be expressed by concrete strains. These processes could be seen in the context of strain estimation of pre-stressed structures in two phases by using numerical methods. Their aim is checking and validating existing code procedures in determination of deformations of pre-tensioned girders by solving a system of nonlinear equations with strains as unknown parameters. This paper presents an approach based on the Newton-Raphson method for obtaining the stresses and strains in middle span section of pre-stressed girders according the equilibrium state.

다차원 뉴튼-랩슨 방법을 이용한 하드 디스크/헤드 시스템의 3차원 평형위치 검색 (3-Dimensional Equilibrium Position Searching of HDD/Head System using Multi-Dimensional Newton-Raphson Method)

  • 장인배
    • 산업기술연구
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    • 제15권
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    • pp.203-208
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    • 1995
  • This paper suggests the three dimensional steady state searching techniques of hard disk/head system, which has some skew angle with flexure. In order to analyze the steady state behaviors of magnetic head slider, the localized Knudsen number and the localized bearing numbers are sued. For finding the steady state of magnetic head slider under the pre-loaded condition, I proposed multi-dimensional Newton-Raphson method which traces the equilibrium position of magnetic head slider, which has 3-degrees of freedom, using Jacobian matrix. The multi-dimensional Newton-Raphson method is very efficient technique for finding the steady state position of magnetic head slider because it approaches to the equilibrium position with changing three parameters simultaneously.

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전력조류계산의 개선에 관한 연구 (An Improved Fast Decoupled Newton Raphson Load flow Study)

  • 박영문;백영식
    • 전기의세계
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    • 제26권2호
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    • pp.78-83
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    • 1977
  • The Newton-Raphson method has now gained widespread popularity in Load-flow calculationes. In this paper programming is developed with aims to improve the convergence characteristics, speed and memory requirements in the above method. The method of Load-flow calculations is performed by employing the MW-O/MVAR-V decoupling principle. To reduce the memory requirements and improve the speed of calculation the programming of the Optimally Ordered Triangular Factorization method is developed. Besides this, other measures are taken to reduce memory requirements and computing time and to improve reliability. KECO'S 48 Bus system was tested and the method suggested in this paper was proved to be faster than any other methods.

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배전계통 부하조류계산 알고리즘 비교 분석 (Load Flow Algorithm Analysis of Distribution System)

  • 곽도일;김태응;류재홍;김재언
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 추계학술대회 논문집 학회본부 A
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    • pp.134-136
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    • 1999
  • Not much work has been carried out on the load flow analysis of distribution networks. This paper introduces Newton-Raphson method using Distflow equation and Forward Sweeping method in the distribution networks. And that efficient solution scheme in a radial distribution network is presented. Also, simulation results of both Newton-Raphson method and Forward Sweeping method applied to a 22.9kV distribution system model with 120 load buses are analized and evaluated.

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아르스 마그나와 프린키피아에 나오는 수치해석적 기법

  • 이무현
    • 한국수학사학회지
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    • 제15권3호
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    • pp.25-34
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    • 2002
  • This paper explains methods of numerical analysis which appear on Cardano's Ars Magna and Newton's Principia. Cardano's method is secant method, but its actual al]plication is severely limited by technical difficulties. Newton's method is what nowadays called Newton-Raphson's method. But mysteriously, Newton's explanation had been forgotten for two hundred years, until Adams rediscovered it. Newton had even explained finding the root using the second degree Taylor's polynomial, which shows Newton's greatness.

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