• Title/Summary/Keyword: Continuation Method

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The Improvement of Continuation Power Flow System Using Decoupled Method (Decoupled법을 이용한 연속조류계산 시스템의 개발)

  • Park, Min-Seok;Song, Hwa-Chang;Lee, Byong-Jun;Kwon, Sae-Hyuk
    • Proceedings of the KIEE Conference
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    • 2000.07a
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    • pp.46-48
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    • 2000
  • Continuation power flow has been developed to remove the ill-condition problem caused by singularity of power flow Jacobian at and near steady-state voltage instability point in conventional power flow. When solving large-scale power transmission systems, an alternative strategy for improving computational efficiency and reducing computer storage requirements is the decoupled power flow method, which makes use of an approximate version of the Newton-Raphson procedure. This paper presents a technique to improve the speed of continuation power flow system using decoupled power flow method.

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Upward Continuation of Potential Field on Spherical Patch Area (구면부분지역에서의 퍼텐셜마당의 상향연속)

  • Na, Sung-Ho;Chung, Tae Woong;Shin, Young Hong
    • Geophysics and Geophysical Exploration
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    • v.15 no.4
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    • pp.245-248
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    • 2012
  • Two dimensional Fourier transform can be used for the upward continuation of gravity or magnetic field data acquired at given altitude over a rectangular area. Earth's curvature is often neglected in most potential field continuations, however, it should be considered over several hundred kilometer field area. In this study, we developed a new method retaining terms of Earth's curvature to better perform the continuation of potential field on spherical patch area.

Continuation-Based Quasi-Steady-State Analysis Incorporating Multiplicative Load Restoration Model (증배형 부하회복 모델을 포함하는 연속법 기반 준정적 해석)

  • Song, Hwa-Chang;Ajjarapu, Venkatanamana
    • Journal of Institute of Control, Robotics and Systems
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    • v.14 no.2
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    • pp.111-117
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    • 2008
  • This paper presents a new continuation-based quasi-steady-state(CQSS) time-domain simulation algorithm incorporating a multiplicative aggregated load model for power systems. The authors' previous paper introduced a CQSS algorithm, which has the robust convergent characteristic near the singularity point due to the application of a continuation method. The previous CQSS algorithm implemented the load restoration in power systems using the exponent-based load recovery model that is derived from the additive dynamic load model. However, the reformulated exponent-based model causes the inappropriate variation of short-term load characteristics when switching actions occur, during time-domain simulation. This paper depicts how to incorporate a multiplicative load restoration model, which does not have the problem of deforming short-term load characteristics, into the time simulation algorithm, and shows an illustrative example with a 39-bus test system.

A Study on the Continuation Effect of the PC Beam Bridge Reinforced by Span-Jointing of Slab (PC Beam 교의 슬래브 연속화 보강 효과에 대한 연구)

  • Sun, Chang-Ho;Lee, Jong-Seok;Kim, Ick-Hyun
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.6 no.4
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    • pp.225-232
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    • 2002
  • Recently the slab span-jointing method has been employed as one of the retrofit technologies to enhance the capacity of existing simple beam bridges in many cases. In general this method makes simple beam bridges behave like multi-span continuous bridges under service loads excluding self weight in company with external prestress force method in the field. In this paper the continuation effect has been studied for the retrofitted bridges by the experimental and numerical approaches. The results show that the deflections and stresses of members are reduced due to the increase of the total stiffness of bridge system and the efficiency of bridge continuation based on the slab span-jointing method is about 40 % when comparing with the case of continuous bridges.

Reconstruction of the Wave Speed and Density from Reflection Coefficients by Downward Continuation Algorithm (하향연속 알고리즘에 의한 반사계수로부터의 속도 및 밀도값 복원)

  • Shon, Howoong;Suh, Mancheol
    • Economic and Environmental Geology
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    • v.28 no.6
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    • pp.553-558
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    • 1995
  • The purpose of this paper is recovery of the profiles of the wave speed and density from the reflection coefficients of the continuously layered acoustic medium with depth dependent density and wave speed at various angles of incidence. A downward continuation or layer stripping algorithm, which recursively reconstructs the medium in increasing depth and then strips away the effects of the reconstructed portion of the medium, is the method with fewer computations than integral equation procedures. This paper implements an improved downward continuation algorithm that uses reflection data at several angles of incidence and performs a least-squares fitting at each depth. The result is a considerable improvement in performance over the usual downward continuation algorithm.

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Low Thrust, Fuel Optimal Earth Escape Trajectories Design (저추력기를 이용한 연료 최적의 지구탈출 궤적 설계 연구)

  • Lee, Dong-Hun;Bang, Hyo-Choong
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.35 no.7
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    • pp.647-654
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    • 2007
  • A Discrete continuation Method/homotopy approaches are studied for energy/fuel optimal low thrust Earth escape trajectory by solving a two point boundary value problem(TPBVP). Recently, maneuvers using low thrust propulsion system have been identified as emerging technologies. The low thruster is considered as the main actuator for orbit maneuvers. The cost function consists of a energy/fuel consumption function, and constraints are position and velocity vectors at the terminal escape point. Solving the minimum energy/fuel problem directly is not an easy task, so we adopt the homotopy analysis. Using a solution of the minimum energy, which is solved by discrete continuation method, we obtain the solution of the minimum fuel problem.

A Study on the Method of the Vulnerable Area Investigation In Severe Contingencies Using Branch Parameter Continuation Power Flow (BCPF)

  • Seo Sangsoo;Lee Byongjun;Kim Tae-Kyun;Song Hwachang
    • KIEE International Transactions on Power Engineering
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    • v.5A no.4
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    • pp.390-395
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    • 2005
  • The most widely used index for the vulnerable area investigation has been the reactive power margin or sensitivity analysis. But we can only obtain the results of these analyses if the results of load flow are convergent in severe contingencies. Otherwise these methods are not adoptable. This paper presents a good index for overcoming severe contingencies, though the power flow equation is unsolvable using the branch parameter continuation power flow. In simulation, the Korea Electric Power Corporation (KEPCO) Systems are applied.

VOLUME OF C1,α-BOUNDARY DOMAIN IN EXTENDED HYPERBOLIC SPACE

  • Cho, Yun-Hi;Kim, Hyuk
    • Journal of the Korean Mathematical Society
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    • v.43 no.6
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    • pp.1143-1158
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    • 2006
  • We consider the projectivization of Minkowski space with the analytic continuation of the hyperbolic metric and call this an extended hyperbolic space. We can measure the volume of a domain lying across the boundary of the hyperbolic space using an analytic continuation argument. In this paper we show this method can be further generalized to find the volume of a domain with smooth boundary with suitable regularity in dimension 2 and 3. We also discuss that this volume is invariant under the group of hyperbolic isometries and that this regularity condition is sharp.

Continuation Power Flow Method for Power System including UPFC (UPFC를 포함한 전력시스템에서의 연속조류계산)

  • Lim, Jung-Uk;Moon, Seung-Ill
    • Proceedings of the KIEE Conference
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    • 1999.07c
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    • pp.1290-1292
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    • 1999
  • In this paper. continuation power flow for Power system including UPFC has been performed. The decoupled model, by which power flow can be performed without any modification of conventional power flow program is used as steady-state model. A numerical example has been given to analyze the influence on the voltage stability by UPFC.

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MAXIMAL DOMAINS OF SOLUTIONS FOR ANALYTIC QUASILINEAR DIFFERENTIAL EQUATIONS OF FIRST ORDER

  • Han, Chong-Kyu;Kim, Taejung
    • Journal of the Korean Mathematical Society
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    • v.59 no.6
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    • pp.1171-1184
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    • 2022
  • We study the real-analytic continuation of local real-analytic solutions to the Cauchy problems of quasi-linear partial differential equations of first order for a scalar function. By making use of the first integrals of the characteristic vector field and the implicit function theorem we determine the maximal domain of the analytic extension of a local solution as a single-valued function. We present some examples including the scalar conservation laws that admit global first integrals so that our method is applicable.