• Title/Summary/Keyword: jacobian

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

  • Moon, Yong-Hyun;Lee, Jong-Gi;Choi, Byoung-Kon;Park, Jeong-Do;Ryu, Hun-Su
    • Proceedings of the KIEE Conference
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    • 1998.11a
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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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A Fast sensitivity computation technique for an efficient and accurate contingency analysis (능률적이고 정확한 상정사고 해석을 위한 민감도 산출기법 연구)

  • Lee, Seung-Chul;Moon, Woon-Chul;Oh, Hae-Jin;Kwon, Byeong-Gook
    • Proceedings of the KIEE Conference
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    • 2004.11b
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    • pp.75-77
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    • 2004
  • 상정사고 해석의 경우 수많은 상정사고를 실시간에 해석하기 위하여 전력조류계산 결과로 얻어진 Jacobian의 역행렬이 포함하고 있는 민감도 정보를 이용하는 경우가 많다. 이 경우 각종 상정사고 후의 각 모선전압과 전압의 위상각과 같은 상태변수를 선형적으로 신속히 계산할 수 있는 장점이 있는 반면에 송전선로 고장과 같이 계통구성이 변하는 상정사고의 경우에는 계산결과 얻어지는 상태변수 값들의 오차가 커져 상정사고 해석 결과가 부정확해지는 문제점이 있다. 이때 보다 정확한 상태변수 값들을 계산하기 위해서는 탈락한 송전선로를 반영하여 Jacobian을 재구성하고 그 역행렬을 계산하여야한다. 본 논문에서는 특히 민감도를 이용한 상태변수 값의 선형 계산에서 오차가 커지는 문제점이 있는 송전선로 고장의 경우 계통의 구조 변화를 반영한 Jacobian의 역행렬을 별도로 계산하지 않고 기본 케이스 Jacobian의 역행렬을 그대로 이용하여 간단히 구하는 방법을 제시함으로서 보다 빠르고 정확한 상정사고 해석을 할 수 있는 기법에 대해 제안하였다. 제안한 방법은 뉴잉글랜드 39 모선 계통에 적용하여 그 효과를 입증하였다.

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Image Restoration of Remote Sensing High Resolution Imagery Using Point-Jacobian Iterative MAP Estimation (Point-Jacobian 반복 MAP 추정을 이용한 고해상도 영상복원)

  • Lee, Sang-Hoon
    • Korean Journal of Remote Sensing
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    • v.30 no.6
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    • pp.817-827
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    • 2014
  • In the satellite remote sensing, the operational environment of the satellite sensor causes image degradation during the image acquisition. The degradation results in noise and blurring which badly affect identification and extraction of useful information in image data. This study proposes a maximum a posteriori (MAP) estimation using Point-Jacobian iteration to restore a degraded image. The proposed method assumes a Gaussian additive noise and Markov random field of spatial continuity. The proposed method employs a neighbor window of spoke type which is composed of 8 line windows at the 8 directions, and a boundary adjacency measure of Mahalanobis square distance between center and neighbor pixels. For the evaluation of the proposed method, a pixel-wise classification was used for simulation data using various patterns similar to the structure exhibited in high resolution imagery and an unsupervised segmentation for the remotely-sensed image data of 1 mspatial resolution observed over the north area of Anyang in Korean peninsula. The experimental results imply that it can improve analytical accuracy in the application of remote sensing high resolution imagery.

Inversion of spectral analysis of surface waves with analytic Jacobian (해석적 자코비안을 이용한 표면파 기법의 역산)

  • Ha, Hee-Sang
    • Journal of the Korean Geophysical Society
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    • v.5 no.3
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    • pp.233-245
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    • 2002
  • The spectral-analysis-of-surface-waves (SASW) method is a nondestructive testing method based upon generation and detection of elastic stress waves. SASW is widely used as one of the techniques to determine stiffness profile in engineering geophysics. The essential steps involved are construction of an experimental dispersion curve from data collected in situ, and inversion of the dispersion curve to determine the stiffness profile. The main object of this study is to derive an analytical Jacobian for the inversion. If we set the subsurface to N homogeneous layer, it could save 2N times Jacobian calculation compared to numerical jacobian calculation during inversion. To reconstruct a stiffness profile, constrained damped least square method was applied for the inversion. The algorithm was tested for the numerical data and for the real asphalt and tunnel data, which were able to verify the stiffness profile. The stiffness profile reconstructed by the algorithm showed the possibility to appraise the soundness of tunnel with applications SASW.

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COMPUTING THE NUMBER OF POINTS ON GENUS 3 HYPERELLIPTIC CURVES OF TYPE Y2 = X7 + aX OVER FINITE PRIME FIELDS

  • Sohn, Gyoyong
    • Journal of applied mathematics & informatics
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    • v.32 no.1_2
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    • pp.17-26
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    • 2014
  • In this paper, we present an algorithm for computing the number of points on the Jacobian varieties of genus 3 hyperelliptic curves of type $y^2=x^7+ax$ over finite prime fields. The problem of determining the group order of the Jacobian varieties of algebraic curves defined over finite fields is important not only arithmetic geometry but also curve-based cryptosystems in order to find a secure curve. Based on this, we provide the explicit formula of the characteristic polynomial of the Frobenius endomorphism of the Jacobian variety of hyperelliptic curve $y^2=x^7+ax$ over a finite field $\mathbb{F}_p$ with $p{\equiv}1$ modulo 12. Moreover, we also introduce some implementation results by using our algorithm.

Visual servoing based on neuro-fuzzy model

  • Jun, Hyo-Byung;Sim, Kwee-Bo
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.712-715
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    • 1997
  • In image jacobian based visual servoing, generally, inverse jacobian should be calculated by complicated coordinate transformations. These are required excessive computation and the singularity of the image jacobian should be considered. This paper presents a visual servoing to control the pose of the robotic manipulator for tracking and grasping 3-D moving object whose pose and motion parameters are unknown. Because the object is in motion tracking and grasping must be done on-line and the controller must have continuous learning ability. In order to estimate parameters of a moving object we use the kalman filter. And for tracking and grasping a moving object we use a fuzzy inference based reinforcement learning algorithm of dynamic recurrent neural networks. Computer simulation results are presented to demonstrate the performance of this visual servoing

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Dynamic tracking control of robot manipulators using vision system (비전 시스템을 이용한 로봇 머니퓰레이터의 동력학 추적 제어)

  • 한웅기;국태용
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1816-1819
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    • 1997
  • Using the vision system, robotic tasks in unstructured environments can be accompished, which reduces greatly the cost and steup time for the robotic system to fit to he well-defined and structured working environments. This paper proposes a dynamic control scheme for robot manipulator with eye-in-hand camera configuration. To perfom the tasks defined in the image plane, the camera motion Jacobian (image Jacobian) matrix is used to transform the camera motion to the objection position change. In addition, the dynamic learning controller is designed to improve the tracking performance of robotic system. the proposed control scheme is implemented for tasks of tracking moving objects and shown to outperform the conventional visual servo system in convergence and robustness to parameter uncertainty, disturbances, low sampling rate, etc.

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Image-based Robust Control of Robot Manipulators with Image Jacobian and Dynamics Uncertainties (영상 자코비안 및 동특성 불확실성을 포함하는 로봇 매니퓰레이터의 영상기반 강인제어)

  • Kim, Chin-Su;Mo, Eun-Jong;Lee, Kang-Woong
    • Journal of Institute of Control, Robotics and Systems
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    • v.14 no.10
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    • pp.1047-1052
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    • 2008
  • In this paper, we design an image-based robust controller to compensate uncertainties with image Jacobian and robot dynamics due to uncertain depth measurement and load variations. The proposed controller with eye-in-hand structure has separate terms to compensate each of uncertainties. The ultimate boundedness of the closed-loop system is proved by the Lyapunov approach. The performance of the proposed control system is demonstrated by simulation and experimental results a 5-link robot manipulator with two degree of freedom.

TWO-PHASE WAVE PROPAGATIONS PREDICTED BY HLL SCHEME WITH INTERFACIAL FRICTION TERMS (계면마찰항을 고려한 이상유동에서 파동전파에 대한 수치적 연구)

  • Yeom, G.S.;Chang, K.S.;Chung, M.S.
    • 한국전산유체공학회:학술대회논문집
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    • 2009.11a
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    • pp.115-119
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    • 2009
  • We numerically investigated propagation of various waves in the two-phase flows such as sound wave, shock wave, rarefaction wave, and contact discontinuity in terms of pressure, void fraction, velocity and density of the two phases. The waves have been generated by a hydrodynamic shock tube, a pair of symmetric impulsive expansion, impulsive pressure and impulsive void waves. The six compressible two-fluid two-phase conservation laws with interfacial friction terms have been solved in two fractional steps. The first PDE Operator is solved by the HLL scheme and the second Source Operator by the semi-implicit stiff ODE solver. In the HLL scheme, the fastest wave speeds were estimated by the analytic eigenvalues of an approximate Jacobian matrix. We have discussed how the interfacial friction terms affect the wave structures in the numerical solution.

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Development of Alternative Algorithms to the Decoupled Load Flow (Decoupled Load Flow 알고리즘에 대한 유용한 대안 알고리즘들의 개발)

  • Lee, Seung-Chul;Park, Sang-Soo;Park, Kyung-Bae
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.12
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    • pp.1514-1519
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    • 1999
  • This paper presents two flexible alternatives to the decoupled load flow(DCL) method. The proposed load flow methods can improve the convergence profiles of the DCL by reflecting in part the effects of the off-diagonal terms in the Jacobian at minimal costs. They can improve the convergence characteristics especially when the power system operating states deviate from the conditions required for stable convergence of the DCL and the P-Q coupling becomes significant. Two algorithms are obtained from the expression of the full Newton-Raphson load flow (NRL) method by successively diminishing the effects of the off-diagonal submatrices in the Jacobian. In the process of simplification, the Neuman series expansion is utilized. Test results show promising performances of the proposed algorithms in their convergence characteristics both in number of iterations and overall convergence speeds. Proposed algorithms are expected to provide flexible alternatives to the NRL when the DCL experiences convergence problems.

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