• Title/Summary/Keyword: Newton-Raphson algorithm

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Partitioned coupling strategies for fluid-structure interaction with large displacement: Explicit, implicit and semi-implicit schemes

  • He, Tao
    • Wind and Structures
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    • v.20 no.3
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    • pp.423-448
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    • 2015
  • In this paper the unsteady fluid-structure interaction (FSI) problems with large structural displacement are solved by partitioned solution approaches in the arbitrary Lagrangian-Eulerian finite element framework. The incompressible Navier-Stokes equations are solved by the characteristic-based split (CBS) scheme. Both a rigid body and a geometrically nonlinear solid are considered as the structural models. The latter is solved by Newton-Raphson procedure. The equation governing the structural motion is advanced by Newmark-${\beta}$ method in time. The dynamic mesh is updated by using moving submesh approach that cooperates with the ortho-semi-torsional spring analogy method. A mass source term (MST) is introduced into the CBS scheme to satisfy geometric conservation law. Three partitioned coupling strategies are developed to take FSI into account, involving the explicit, implicit and semi-implicit schemes. The semi-implicit scheme is a mixture of the explicit and implicit coupling schemes due to the fluid projection splitting. In this scheme MST is renewed for interfacial elements. Fixed-point algorithm with Aitken's ${\Delta}^2$ method is carried out to couple different solvers within the implicit and semi-implicit schemes. Flow-induced vibrations of a bridge deck and a flexible cantilever behind an obstacle are analyzed to test the performance of the proposed methods. The overall numerical results agree well with the existing data, demonstrating the validity and applicability of the present approaches.

Distributed Load Flow Algorithm for Power Distribution System under Strategic Business Unit (독립사업부제를 대비한 분산형 배전용 조류계산 알고리즘)

  • Kim, D.H.;Norbekov, Nodir;Lee, H.C.;Yoon, Y.T.;Lee, S.S.;Lee, S.K.
    • Proceedings of the KIEE Conference
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    • 2006.11a
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    • pp.33-35
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    • 2006
  • 배전 독립사업부제 도입 및 분산전원의 출현으로 배전계통은 계획 및 운영에 있어서도 변화가 일어 날 것이다. 예로, 기존의 방사상 구조의 배전 계통은 분산 전원의 출현으로 부분적인 그물망 구조로 변형될 수 있으며, 사업 구역이나 사업 지역으로 나누어진 배전계통에서는 서로 다른 관리 체제 하에서 운영이 필요하기 때문에 각 배전회사간의 정보 공유 문제가 발생할 수도 있다. 이러한 문제를 해결하기 위해 분화된 배전 계통의 특성을 고려하여 송전계통과 같이 전체 시스템에 대해 조류 계산하지 않고 배전 계통을 몇 개의 영역으로 나누고 다른 영역과의 경계 정보만을 이용하여 자신의 영역에 대한 조류 계산을 수행하는 알고리즘을 제안하였다. 이런 특성을 최대한 반영한 각 영역의 조류 계산은 분산 전원의 투입으로 인한 양방향 조류가 발생하게 되므로 그물망 구조로 된 구역과 기존의 방사상 구조로 된 영역으로 구분할 수 있다. 본 논문에서는 구역 특성에 맞고 배전 계통에 적용 가능한 알고리즘으로 먼저 분리 구역별 조류 계산을 수행한 후 그 다음 경계치 교환으로 배전 계통 전체의 조류 계산을 수행하는 알고리즘을 제안한다. 즉 방사상 구조 영역에서는 back/forward sweep 방법으로 수행하고 그물망 구조 영역에서는 Full Newton-Raphson 방법으로 구분하여 영역의 특성에 맞게 수행하였다.

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Adaptive maximum power point tracking control of wind turbine system based on wind speed estimation

  • Hyun, Jong-Ho;Kim, Kyung-Youn
    • Journal of IKEEE
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    • v.22 no.2
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    • pp.460-475
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    • 2018
  • In the variable-speed wind energy system, to achieve maximum power point tracking (MPPT), the wind turbine should run close to its optimal angular speed according to the wind speed. Non-linear control methods that consider the dynamic behavior of wind speed are generally used to provide maximum power and improved efficiency. In this perspective, the mechanical power is estimated using Kalman filter. And then, from the estimated mechanical power, the wind speed is estimated with Newton-Raphson method to achieve maximum power without anemometer. However, the blade shape and air density get changed with time and the generator efficiency is also degraded. This results in incorrect estimation of wind speed and MPPT. It causes not only the power loss but also incorrect wind resource assessment of site. In this paper, the adaptive maximum power point tracking control algorithm for wind turbine system based on the estimation of wind speed is proposed. The proposed method applies correction factor to wind turbine system to have accurate wind speed estimation for exact MPPT. The proposed method is validated with numerical simulations and the results show an improved performance.

Numerical and Experimental studies on pipeline laying for Deep Ocean Water (해양심층수 취수관 부설을 위한 수치해석적 및 실험적 연구)

  • JUNG DONG-HO;KIM HYOUN-JOO;KIM JIN-HA;PARK HAN-IL
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2004.11a
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    • pp.29-34
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    • 2004
  • Numerical and experimental studies on pipeline laying for intake Deep Ocean Water are carried out. In the numerical study, an implicit finite difference algorithm is employed for three-dimensional pipe equations. Fluid non-linearity and bending stiffness are considered and solved by Newton-Raphson iteration. Seabed is modeled as elastic foundation with linear spring and damper. Top tension and general configuration of pipeline at a depth are predicted. It is found that control for tension to prevent being large curvature of pipeline is needed on th steep seabed and, it should be considered 23.5 ton of tension at a top of pipe on the process of pipeline laying at 400m of water depth The largest top tension of pipe on condition of the beam sea during pipe laying is shown from the experiment. The results of this study can be contributed to the design of pipeline laying for upwelling deep ocean water.

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Steady-State Current Characteristics for Squirrel Cage Induction Motor according to Design Variables of Rotor Bars using Time Difference Finite Element Analysis

  • Kim, Young Sun
    • Journal of Magnetics
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    • v.22 no.1
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    • pp.104-108
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    • 2017
  • Induction motors have wide applicability in many fields, both in industrial sectors and households, for their advantages of a high efficiency and robust structure. The introduction of power-source-containing harmonics into the induction motor winding lowers its efficiency and increases its temperature, greatly affecting its operation characteristics. In this study, we performed an electromagnetic field analysis using the time-difference finite-element method with the purpose of analyzing the steady-state current characteristics of an induction motor. Additionally, we calculated the steady-state current with a method combining an electromagnetic field equation and a circuit equation. In the electromagnetic field analysis, the nonlinearity was taken into account using the Newton-Raphson method, and a backward time-difference method was employed for the time derivative term. Then, we compared the steady-state current of the induction motor obtained by calculation with the experimentally measured values, thus validating the proposed algorithm. Furthermore, we analyzed the impacts of the shape and material of the rotor conductor bar of the induction motor on the steady-state current of the main winding.

A Study on the Calculation Scheme of Extreme Loading Point and Nose Curves using Modified N-R and Continuation Method (수정N-R법과 연속음형법을 이용한 임계부하점 및 Nose Curve 산정기법 연구)

  • Yu, In-Keun
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.41 no.7
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    • pp.712-722
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    • 1992
  • Several voltage instability/collapse problems that have occurred in the electric utility industry worldwide have gained the attention of engineers and researchers of electric power systems. This paper proposes an effective calculation scheme of the extreme loading point and nose curves(P-V curves) using modified Newton-Raphson(N-R) load flow method and the Continuation Method. This method provides detail and visual information of the power system voltage profile and operating margin ro operators and planners. In this paper, a modified load flow claculation method for ill-conditioned power systems is introduced for the purpose of seeking more precise load flow solutions and nose curves, and the Continuation Method is also used as a part of the solution algorithm for the calculation of extreme loading point and nose curves. The conventional polar coordinate based N-R load flow program is modified to avoid numerical difficulties caused by the singularity of the Jacobian matrix occuring in the vicinity of extreme loading point of heavily loaded systems. Application results of the proposed method to Klos-Kerner 11-bus system and modified IEE-30-bus system are presented to assure the usefulness of the approach.

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A Numerical and Experimental Study on Dynamics of A Towed Low-Tension Cable

  • Jung, D.H.;Park, H.I.;Koterayama, W.
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2002.10a
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    • pp.191-196
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    • 2002
  • The paper presents a numerical and experimental investigation on dynamic behaviors of a towed low tension cable. In the numerical study, an implicit finite difference algorithm is employed for three-dimensional cable equations. Fluid and geometric non-linearity and bending stiffness are considered and solved by Newton-Raphson iteration. Block tri-diagonal matrix method is applied for the fast calculation of the huge size of matrices. In order to verify the numerical results and to see real physical phenomena, an experiment is carried out for a 6m cable in a deep and long towing tank. The cable is towed in two different ways; one is towed at a constant speed and the other is towed at a constant speed with top end horizontal oscillations. Cable tension and shear forces are measured at the top end. Numerical and experimental results are compared with good agreements in most cases but with some differences in a few cases. The differences are due to drag coefficients caused by vortex shedding. In the numerical modeling, non-uniform element length needs to be employed to cope with the sharp variation of tension and shear forces at near top end.

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A Study on the Behavior of Flexible Riser for Upwelling Deep Ocean Water by a Numerical Method (수치해석적 방법을 통한 해양심층수 취수용 유연 라이저의 거동 해석에 관한 연구)

  • JUNG DONG-HO;KIM HYEON-JU;PARK HAN-IL
    • Journal of Ocean Engineering and Technology
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    • v.18 no.4 s.59
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    • pp.15-22
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    • 2004
  • Static and dynamic analyses of a very flexible and light riser, for upwelling the deep ocean water, is performed. In this numerical study, an implicit finite difference algorithm is employed for three-dimensional riser equations. Fluid non-linearity and bending stiffness are considered and solved, using the Newton-Raphson iteration. Maintaining the depth of end point of a flexible and light riser is very important for upwelling deep ocean water in a floating type development system. Weight is attached at the end point of the riser in order to maintain its intake depth. It is designed under the strong surface current and the configuration of the rise is predicted. In the dynamic analysis, the tension variation at the top point of the riser is presented. T e results of this study can contribute to the design of the development system in floating type for upwelling deep ocean water.

Current Case & Future Study applied on Distribution System Load Flow Algorithm (배전계통에 적용된 조류계산 알고리즘 적용사례 및 미래형 연구)

  • Lee, S.S.;Song, K.J.;Sohn, J.M.;Han, J.G.;Lee, T.Y.;Park, J.K.;Moon, S.I.;Kim, J.C.;Lee, S.K.
    • Proceedings of the KIEE Conference
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    • 2003.11a
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    • pp.181-183
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    • 2003
  • 본 연구에서는 현재 국내-외 논문을 참조하여 배전계통에 적용된 조류계산 알고리즘의 적용사례를 조사하였다. 배전계통에 적용된 조류계산알고리즘은 Power Summation Method와 Current Summation Method가 있다. 배전계통은 선로의 구조가 거의 대부분 방사상으로 성되어 있기 때문에 Newton Raphson, Gauss Seidel, Fast Decoupled 방법을 그대로 사용하기는 문제가 있다. 그래서 DistFlow, Forward/Backward sweeping 법 등이 주로 사용되어 왔다. 그러나 미래의 계통은 현재와는 또 다른 Topology로 방사상과 루프가 혼합된 형태로 다르게 구성되어야 할 것이다. 이러한 상황에서 미래의 배전계통에 대하여 적용 가능한 알고리즘을 전망하고져 한다.

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Combined multi-predict-correct iterative method for interaction between pulsatile flow and large deformation structure

  • Wang, Wenquan;Zhang, Li-Xiang;Yan, Yan;Guo, Yakun
    • Coupled systems mechanics
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    • v.1 no.4
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    • pp.361-379
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    • 2012
  • This paper presents a fully coupled three-dimensional solver for the analysis of interaction between pulsatile flow and large deformation structure. A partitioned time marching algorithm is employed for the solution of the time dependent coupled discretised problem, enabling the use of highly developed, robust and well-tested solvers for each field. Conservative transfer of information at the fluid-structure interface is combined with an effective multi-predict-correct iterative scheme to enable implicit coupling of the interacting fields at each time increment. The three-dimensional unsteady incompressible fluid is solved using a powerful implicit time stepping technique and an ALE formulation for moving boundaries with second-order time accurate is used. A full spectrum of total variational diminishing (TVD) schemes in unstructured grids is allowed implementation for the advection terms and finite element shape functions are used to evaluate the solution and its variation within mesh elements. A finite element dynamic analysis of the highly deformable structure is carried out with a numerical strategy combining the implicit Newmark time integration algorithm with a Newton-Raphson second-order optimisation method. The proposed model is used to predict the wave flow fields of a particular flow-induced vibrational phenomenon, and comparison of the numerical results with available experimental data validates the methodology and assesses its accuracy. Another test case about three-dimensional biomedical model with pulsatile inflow is presented to benchmark the algorithm and to demonstrate the potential applications of this method.