• Title/Summary/Keyword: Newton-Raphson Method

Search Result 501, Processing Time 0.028 seconds

On-Line Calculation of the Critical Point of Voltage Collapse Based on Multiple Load Flow Solutions (다중조류계산을 이용한 전압붕괴 임계점의 On-Line 계산)

  • Nam, Hae-Kon;Kim, Dong-Jun
    • Proceedings of the KIEE Conference
    • /
    • 1993.07a
    • /
    • pp.134-136
    • /
    • 1993
  • This paper presents a novel and efficient method to calculate the critical point of voltage collapse. Conjugate gradient and modified Newton-Raphson methods are employed to calculate two pairs of multiple load flow solutions for two operating conditions, i.e., both +mode and -mode voltages for two loading conditions respectively. Then these four voltage magnitude-load data sets of the bus which is most susceptible to voltage collapse, are fitted to third order polynomial using Lagrangian interpolation in order to represent approximate nose curve (P-V curve). This nose curve locates first estimate of the critical point of voltage collapse. The procedure described above is repeated near the critical point and the new estimate will be very close to the critical point. The proposed method is tested for the eleven bus Klos-Kerner system, with good accuracy and fast computation time.

  • PDF

3-D Nonlinear Magnetostatic Analysis by using FEM (FEM을 이용한 3-D 비선형 정자계 모델의 해석)

  • Kang, Byung-Kill;Ryu, Jae-Seop;Koh, Chang-Seop
    • Proceedings of the KIEE Conference
    • /
    • 2000.11b
    • /
    • pp.324-326
    • /
    • 2000
  • A 3D magnetostatic field is analyzed considering the non-linear characteristics of the material using finite element method. In the finite element formulation, the edge element is adopted since it reduces the required computer memory and the computing time. The modified Newton-Raphson method is also used for non-linear analysis. A numerical example with the TEAM workshop problem 13 is analyzed, and the results are proved to concide well with measured ones.

  • PDF

A Novel Algorithm of Underground Cable Fault Location based on the analysis of Distributed Parameter Circuit (분포정수회로 해석 방법을 이용한 지중선로 고장점 추정 알고리즘)

  • Lee, Duck-Su;Yang, Xia;Choi, Myeon-Song
    • Proceedings of the KIEE Conference
    • /
    • 2004.11b
    • /
    • pp.24-27
    • /
    • 2004
  • This paper proposes a new algorithm of underground cable fault location based on the analysis of distributed parameter circuit. The proposed method firstly makes voltage and current equations for each of cores and sheathes respectively, and then establishes an equation of the fault distance according to the analysis of the fault conditions. Finally the solution of this equation is calculated by Newton-Raphson iteration method. The effectiveness of this proposed algorithm has been proven through PSCAD/EMTDC simulations.

  • PDF

A Study on the Mathematical Model for Life Diagnosis of Electrical Insulating Materials (전기절연재료의 수명진단에 관한 수학적 모델에 관한 연구)

  • Park, Hong-Tae;Lee, Tae-Sik;Kim, Hie-Dae;Lee, Kyu-Chul;Lee, Jong-Ho
    • Proceedings of the KIEE Conference
    • /
    • 1993.07b
    • /
    • pp.569-571
    • /
    • 1993
  • This paper describes a life expectation of electrical insulating materials using a mathematical model. The mathod simultaneously uses the maximum likelihood estimation and the Newton-Raphson method. By using these method, we will reduce time and costs in voltage-life aging test.

  • PDF

Electro-optical Simulation of Twist Nematic Liquid Crystal Displays considering Anchoring Energy (Weak Anchoring 에너지를 고려한 TN-LCD의 Simulation)

  • Jung, Jin-Taek;Park, Woo-Sang
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
    • /
    • v.20 no.11
    • /
    • pp.969-976
    • /
    • 2007
  • In this thesis, an anchoring energy in the upper and lower substrates of TFT-LCD cell has been modeled and applied in the numerical calculation of the molecular orientation of the TN-LCD. The molecular orientation of liquid crystals defined as tilt and twist angles was simulated using the Newton-Raphson method and the Gaussian integration method. From the results, the tilt and twist angles for the strong anchoring energy were proven to be coincide with those of the conventional results. on the other hand, for the weak anchoring energy, azimuth angles of the molecules were changed abruptly from $0^{\circ}\;to\;90^{\circ}$ near the middle area of the cell due to the balance of the anchoring energy and the elastic energy of the liquid crystals.

Comparison of Parameter Estimation Methods in A Kappa Distribution

  • Park Jeong-Soo;Hwang Young-A
    • Communications for Statistical Applications and Methods
    • /
    • v.12 no.2
    • /
    • pp.285-294
    • /
    • 2005
  • This paper deals with the comparison of parameter estimation methods in a 3-parameter Kappa distribution which is sometimes used in flood frequency analysis. Method of moment estimation(MME), L-moment estimation(L-ME), and maximum likelihood estimation(MLE) are applied to estimate three parameters. The performance of these methods are compared by Monte-carlo simulations. Especially for computing MME and L-ME, three dimensional nonlinear equations are simplified to one dimensional equation which is calculated by the Newton-Raphson iteration under constraint. Based on the criterion of the mean squared error, L-ME (or MME) is recommended to use for small sample size( n$\le$100) while MLE is good for large sample size.

An Analysis of Load Characteristics of Air-Lubricated Herringbone Groove Journal Bearing By Finite Element Method (공기윤활 빗살무늬 저널베어링의 부하특성에 대한 유한요소해석)

  • 박신욱;임윤철
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
    • /
    • 2000.11a
    • /
    • pp.353-362
    • /
    • 2000
  • Herringbone groove journal bearing (HGJB) is developed to improve the static and dynamic performances of hydrodynamic journal bearing. In this study, static and dynamic compressible isothermal lubrication problems are analyzed by the finite element method together with the Newton-Raphson iterative procedure. This analysis is introduced for prediction of the static and dynamic characteristics of air lubricated HGJB for various bearing configurations. The bearing load characteristics and dynamic characteristics are dependent on geometric parameters such as asymmetric ratio, groove depth ratio, groove width ratio and groove angle.

  • PDF

A Novel Algorithm of Underground Cable Fault Location based on the analysis of Distributed Parameter Circuit (분포정수회로 해석 방법을 이용한 지중선로 고장점 추정 알고리즘)

  • Yang Xia;Lee Duck Su;Choi Myeon Song
    • Proceedings of the KIEE Conference
    • /
    • summer
    • /
    • pp.412-414
    • /
    • 2004
  • In this paper, a novel algorithm of underground cable fault location based on the analysis of distributed parameter circuit is proposed. The proposed method makes voltage and current equations about core and sheath, and then establishes a function of the fault distance according to the analysis of fault conditions. Finally gets the solution of this function through Newton-Raphson iteration method. The effectiveness of proposed algorithm has been verified by Matlab program, and the cable parameters such as impedance and admittance are from EMTP simulation.

  • PDF

Nonlinear thermoelastic response of laminated composite conical panels

  • Joshi, R.M.;Patel, B.P.
    • Structural Engineering and Mechanics
    • /
    • v.34 no.1
    • /
    • pp.97-107
    • /
    • 2010
  • Nonlinear thermoelastic static response characteristics of laminated composite conical panels are studied employing finite element approach based on first-order shear deformation theory and field consistency principle. The nonlinear governing equations, considering moderately large deformation, are solved using Newton-Raphson iterative technique coupled with the adaptive displacement control method to efficiently trace the equilibrium path. The validation of the formulation for mechanical and thermal loading cases is carried out. The present results are found to be in good agreement with those available in the literature. The adaptive displacement control method is found to be capable of handling problems with multiple snapping responses. Detailed parametric study is carried out to highlight the influence of semicone angle, boundary conditions, radius-to-thickness ratio and lamination scheme on the nonlinear thremoelastic response of laminated cylindrical and conical panels.

Nonlinear behavior of fiber reinforced cracked composite beams

  • Akbas, Seref D.
    • Steel and Composite Structures
    • /
    • v.30 no.4
    • /
    • pp.327-336
    • /
    • 2019
  • This paper presents geometrically nonlinear behavior of cracked fiber reinforced composite beams by using finite element method with and the first shear beam theory. Total Lagrangian approach is used in the nonlinear kinematic relations. The crack model is considered as the rotational spring which separate into two parts of beams. In the nonlinear solution, the Newton-Raphson is used with incremental displacement. The effects of fibre orientation angles, the volume fraction, the crack depth and locations of the cracks on the geometrically nonlinear deflections of fiber reinforced composite are examined and discussed in numerical results. Also, the difference between geometrically linear and nonlinear solutions for the cracked fiber reinforced composite beams.