• 제목/요약/키워드: Theoretical derivative

검색결과 85건 처리시간 0.031초

밭작물의 분광반사특성과 식생지수 (Spectral Reflectance Characteristics and Vegetation Indices for Field Crops)

  • 박종화;신용희;박민서
    • 한국농공학회:학술대회논문집
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    • 한국농공학회 2003년도 학술발표논문집
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    • pp.627-630
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    • 2003
  • This research determined the spectral reflectance characteristics and vegetation indices when intermixed with field crops and soil. Ground-level spectral reflectance were collected in the field experiment containing plots of soybean and other seven crops. The first and second derivative of reflectance spectra showed several peaks that were dependent in different degrees on leaf age and chlorophyll concentration in the crop leaves. This study evaluated a number of spectral indices for estimating chlorophyll concentrations at the leaf scale difference, using samples from field crops at various stages of senescence. Five vegetation indices were evaluated which had advantages over previous techniques. Experimental data recorded on field crops during the growing season are in good agreement with previous theoretical results.

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DPLL에 의한 삼상유도전동기의 속도제어 및 안정도에 관한 연구 (Speed control and stability of 3-phase induction motor with DPLL)

  • 박민호;현동석
    • 전기의세계
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    • 제30권11호
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    • pp.717-727
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    • 1981
  • The phase-locked loop technique developed in the 1930's has many advantages when applied to speed control. The speed control and analysis of a three phase induction motor using the PLL are described in this paper. In this system, the phase frequency detector (PFD) compares the actual motor speed from the pulses received from a shaft encoder and desired speed, and the difference adjusts the frequency of the inverter that feeds the motor, and excellent speed regulation in the order of 0.035(%) has been-obtained. A linear continuous model of the drive is developed and system response is analysed using conventional root locus techniques. Various compensating filters and feedback signals are considered and the need for addition of derivative feedback is shown. A sampled data model is used to study the effects of discrete PFD output. Stability limitson speed are predicted. A drive was implimented and experimental results are presented to verify theoretical predictions.

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다모선 전력계통에서 댐핑효과를 고려한 에너지 함수의 유도 (Derivation of an Energy Function Reflecting Damping Effects in Multi-Machine Power Systems)

  • 권용준;류헌수;최병곤;문영현
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 춘계학술대회 논문집 전력기술부문
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    • pp.172-175
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    • 2001
  • This paper presents a new energy function reflecting the damping effect in multi-machine power systems. The Lyapunov direct method provides precise and rigorous theoretical backgrounds for stability analysis of nonlinear systems. Incorporating damping effects into accurate estimates of the domain of attraction, which is a minor but crucial point, has been attempted with long history to yield partial success for single machine systems. In this paper, the damping-reflected energy function presented in the previous work has been generalized for application to multi-machine systems. The generalized energy function is tested for the WSCC 9-bus system to show the semi-negativeness of its time derivative.

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An Adaptive Fuzzy Sliding Mode Controller for Robot Manipulators

  • Seo, Sam-Jun;Park, Gwi-Tae;Kim, Dongsik
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.162.1-162
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    • 2001
  • In this paper, the adaptive fuzzy system is used as an adaptive approximator for robot nonlinear dynamic. A theoretical justification for the adaptive approximator is proving that if the representive point(RP or switching function) and its derivative in sliding mode control are used as the inputs of the adaptive fuzzy system, the adaptive fuzzy system can approximate robot nonlinear dynamics in the neighborhood of the switching surface. Thus the fuzzy controller design is greatly simplified and at the same time, the fuzzy control rule can be obtained easily by the reaching condition. Based on this, a new method for designing an adaptive fuzzy control system based on sliding mode is proposed for the trajectory tracking control of a robot with unknown nonlinear dynamics.

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경계요소법에 의한 축대칭 탄성체의 형상설계 민감도해석을 위한 직접미분법과 터빈 디스크의 형상최적설계 (Direct Differentiation Method for Shape Design Sensitivity Analysis of Axisymmetric Elastic Solids by the BEM and Shape Optimization of Turbin Disc)

  • 이부윤
    • 대한기계학회논문집A
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    • 제20권5호
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    • pp.1458-1467
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    • 1996
  • A direct differentiationmethod is presented for the shape design sensitivity analysis of axisymmeetric elastic solids. Based on the exisymmetric boundary integralequaiton formulation, a new boundary ntegral equatio for sensitivity analysis is derived by taking meterial derivative to the same integral identity that was used in the adjoint variable melthod. Numerical implementation is performed to show the applicaiton of the theoretical formulation. For a simple example with analytic solution, the sensitivities by present method are compared with analytic sensitivities. As an application to the shape optimization, an optimal shape of a gas turbine disc toinimize the weight under stress constraints is found by incorporating the sensitivity analysis algorithm in an optimizatio program.

Geometrically exact initially curved Kirchhoff's planar elasto-plastic beam

  • Imamovic, Ismar;Ibrahimbegovic, Adnan;Hajdo, Emina
    • Coupled systems mechanics
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    • 제8권6호
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    • pp.537-553
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    • 2019
  • In this paper we present geometrically exact Kirchhoff's initially curved planar beam model. The theoretical formulation of the proposed model is based upon Reissner's geometrically exact beam formulation presented in classical works as a starting point, but with imposed Kirchhoff's constraint in the rotated strain measure. Such constraint imposes that shear deformation becomes negligible, and as a result, curvature depends on the second derivative of displacements. The constitutive law is plasticity with linear hardening, defined separately for axial and bending response. We construct discrete approximation by using Hermite's polynomials, for both position vector and displacements, and present the finite element arrays and details of numerical implementation. Several numerical examples are presented in order to illustrate an excellent performance of the proposed beam model.

Diversification, performance and optimal business mix of insurance portfolios

  • Kim, Hyun Tae
    • Journal of the Korean Data and Information Science Society
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    • 제24권6호
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    • pp.1503-1520
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    • 2013
  • For multi-line insurance companies, allocating the risk capital to each line is a widely-accepted risk management exercise. In this article we consider several applications of the Euler capital allocation. First, we propose visual tools to present the diversification and the line-wise performance for a given loss portfolio so that the risk managers can understand the interactions among the lines. Secondly, on theoretical side, we prove that the Euler allocation is the directional derivative of the marginal or incremental allocation method, an alternative capital allocation rule in the literature. Lastly, we establish the equivalence between the mean-shortfall optimization and the RORAC optimization when the risk adjusted capital is the expected shortfall, and show how to construct the optimal insurance business mix that maximizes the portfolio RORAC. An actual loss sample of an insurance portfolio is used for numerical illustrations.

평면 유리 $B\'{e}zier$곡선상의 변곡점 계산법 (The Detection of Inflection Points on Planar Rational $B\'{e}zier$ Curves)

  • 김덕수;이형주;장태범
    • 한국CDE학회논문집
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    • 제4권4호
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    • pp.312-317
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    • 1999
  • An inflection point on a curve is a point where the curvature vanishes. An inflection point is useful for various geometric operations such as the approximation of curves and intersection points between curves or curve approximations. An inflection point on planar Bezier curves can be easily detected using a hodograph and a derivative of hodograph, since the closed from of hodograph is known. In the case of rational Bezier curves, for the detection of inflection point, it is needed to use the first and the second derivatives have higher degree and are more complex than those of non-rational Bezier curvet. This paper presents three methods to detect inflection points of rational Bezier curves. Since the algorithms avoid explicit derivations of the first and the second derivatives of rational Bezier curve to generate polynomial of relatively lower degree, they turn out to be rather efficient. Presented also in this paper is the theoretical analysis of the performances of the algorithms as well as the experimental result.

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Uniformly Convergent Numerical Method for Singularly Perturbed Convection-Diffusion Problems

  • Turuna, Derartu Ayansa;Woldaregay, Mesfin Mekuria;Duressa, Gemechis File
    • Kyungpook Mathematical Journal
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    • 제60권3호
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    • pp.629-645
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    • 2020
  • A uniformly convergent numerical method is developed for solving singularly perturbed 1-D parabolic convection-diffusion problems. The developed method applies a non-standard finite difference method for the spatial derivative discretization and uses the implicit Runge-Kutta method for the semi-discrete scheme. The convergence of the method is analyzed, and it is shown to be first order convergent. To validate the applicability of the proposed method two model examples are considered and solved for different perturbation parameters and mesh sizes. The numerical and experimental results agree well with the theoretical findings.

채터 안정성 해석을 이용한 자기베어링 밀링 주축의 제어기 설계 연구 (Study on Controller Design for an Active Magnetic Bearing Milling Spindle Using Chatter Stability Analysis)

  • 경진호;박종권;노승국
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2002년도 추계학술대회 논문집
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    • pp.440-445
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    • 2002
  • The characteristic equation for regenerative chatter loop including a delay element replaced by a rational function is presented by a linear differential-difference equation, accounting for the dynamics of the AMB controllers, the uncut chip thickness equation and the cutting process as well as the rigid spindle dynamics itself. The chatter stability analysis of a rigid milling spindle suspended by 5-axes active magnetic bearings(AMBs) is also performed to investigate the influences of the damping and stiffness coefficients of AMBs on the chatter free cutting conditions, as they are allowed to vary within the stable region formed by the AMB control gains. Several cutting tests varying the derivative gains of the AMB were performed to investigate the regenerative chatter vibrations, and it was concluded that the theoretical analysis results are in good consistency with the test results.

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