• Title/Summary/Keyword: Differential transformation

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Differential Transformation of Ginsenosides from Panax ginseng by Lactic Acid Bacteria

  • Chi, Hyun;Lee, Bo-Hyun;You, Hyun-Ju;Park, Myung-Soo;Ji, Geun-Eog
    • Journal of Microbiology and Biotechnology
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    • v.16 no.10
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    • pp.1629-1633
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    • 2006
  • Ginsenosides have been regarded as the principal components responsible for the pharmacological and biological activities of ginseng. The transformation of ginsenosides with live lactic acid bacteria transformed ginsenosides Rb2 and Rc into Rd, but the reactions were slow. When the crude enzymes obtained from several lactic acid bacteria were used for transformation, those from Bifidobacterium sp. Int57 exhibited the most potent transforming activity of ginsenosides to compound K. In comparison, a relatively higher level of Rh2 was produced by the enzymes from Lactobacillus delbrueckii and Leuconostoc mesenteroides. These results suggest that it is feasible to develop a specific bioconversion process to obtain specific ginsenosides using the appropriate combination of ginsenoside substrates and specific microbial enzymes.

System Realization by Using Inverse Discrete Fourier Transformation for Structural Dynamic Models

  • Kim, Hyeung Y.;W. B. Hwang
    • 제어로봇시스템학회:학술대회논문집
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    • 1998.10a
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    • pp.289-294
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    • 1998
  • The distributed-parameter structures expressed with the partial differential equations are considered as the infinite-dimensional dynamic system. For implementation of a controller in multivariate systems, it is necessary to derive the state-space reduced order model. By the eigensystem realization algorithm, we can yield tile subspace system with the Markov parameters derived from the measured frequency response function by the inverse discrete Fourier transformation. We also review the necessary conditions for the convergence of the approximation system and the error bounds in terms of the singular values of Markov-parameter matrices. To determine the natural frequencies and modal damping ratios, the modal coordinate transformation is applied to the realization system. The vibration test for a smart structure is performed to provide the records of frequency response functions used in the subspace system realization.

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Polymorphism of Doxazosin Mesylate

  • Sohn Young-Taek;Lee Yoon-Hee
    • Archives of Pharmacal Research
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    • v.28 no.6
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    • pp.730-735
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    • 2005
  • Nine polymorphic modifications of doxazosin mesylate have been obtained by recrystallization in organic solvents under variable conditions. Different polymorphs of doxazosin mesylate were characterized by powder X-ray crystallography diffractometry (PXRD), differential scanning calorimetry (DSC), and thermogravimetric analysis (TG). Transformation of Form 1 and Form 2 was not occurred in three relative humidities ($0\%$, $51\%$, and $99\%$) at 20$\pm$0.5 for 30 days.

An Approach to a Formal Linearization toy Time-variant Nonlinear Systems using Polynomial Approximations

  • Komatsu, Kazuo;Takata, Hitoshi
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.52.2-52
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    • 2002
  • In this paper we consider an approach to a formal linearization for time-variant nonlinear systems. A time-variant nonlinear sysetm is assumed to be described by a time-variant nonlinear differential equation. For this system, we introduce a coordinate transformation function which is composed of the Chebyshev polynomials. Using Chebyshev expansion to the state variable and Laguerre expansion to the time variable, the time-variant nonlinear sysetm is transformed into the time-variant linear one with respect to the above transformation function. As an application, we synthesize a time-variant nonlinear observer. Numerical experiments are included to demonstrate the validity of...

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Crystal Form of Cefuroxime axetil (세푸록심 악세틸의 결정형)

  • Kim, Bo-Yeon;Sohn, Young-Taek
    • Journal of Pharmaceutical Investigation
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    • v.37 no.1
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    • pp.23-26
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    • 2007
  • Two crystal forms of cefuroxime axetil were obtained by the recrystallization from different organic solvents and characterized by differential scanning calorimetry (DSC), X-ray powder diffraction (XRD). It was confirmed that two crystal forms are identical. The dissolution patterns of these two forms were also checked in 0.07 N HCl at $37{\pm}0.5^{\circ}C$, 100 rpm for 180 minutes. The transformation during storage was also studied.

A Practical Real-Time LOS Rate Estimator with Time-Varying Measurement Noise Variance (시변 측정잡음 모델을 고려한 실시간 시선각 변화율 추정필터)

  • Na, Won-Sang;Lee, Jin-Ik
    • Proceedings of the KIEE Conference
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    • 2003.07d
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    • pp.2082-2084
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    • 2003
  • A practical real-time LOS rate estimator is proposed to handle the time-varying measurement noise statistics. To calculate the optimal Kalman gain, the algebraic transformation method is taken into account. By using the algebraic transformation, the differential algebraic Riccati equation(DARE) regarding estimation error covariance is replaced by the simple algebraic Riccati equation(ARE). The proposed LOS estimation filter gain is only a function of relative range. Consequently, the proposed method is computationally very efficient and suitable for embedded environment.

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ERROR ANALYSIS OF FINITE ELEMENT APPROXIMATION OF A STEFAN PROBLEM WITH NONLINEAR FREE BOUNDARY CONDITION

  • Lee H.Y.
    • Journal of applied mathematics & informatics
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    • v.22 no.1_2
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    • pp.223-235
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    • 2006
  • By applying the Landau-type transformation, we transform a Stefan problem with nonlinear free boundary condition into a system consisting of a parabolic equation and the ordinary differential equations. Fully discrete finite element method is developed to approximate the solution of a system of a parabolic equation and the ordinary differential equations. We derive optimal orders of convergence of fully discrete approximations in $L_2,\;H^1$ and $H^2$ normed spaces.

Study on modified differential transform method for free vibration analysis of uniform Euler-Bernoulli beam

  • Liu, Zhifeng;Yin, Yunyao;Wang, Feng;Zhao, Yongsheng;Cai, Ligang
    • Structural Engineering and Mechanics
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    • v.48 no.5
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    • pp.697-709
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    • 2013
  • A simulation method called modified differential transform is studied to solve the free vibration problems of uniform Euler-Bernoulli beam. First of all, the modified differential transform method is derived. Secondly, the modified differential transformation is applied to uniform Euler-Bernoulli beam free-free vibration. And then a set of differential equations are established. Through algebraic operations on these equations, we can get any natural frequency and normalized mode shape. Thirdly, the FEM is applied to obtain the numerical solutions. Finally, mode experimental method (MEM) is conducted to obtain experimental data for analysis by signal processing with LMS Test.lab Vibration testing and analysis system. Experimental data and simulation results are illustrated to be in comparison with the analytical solutions. The results show that the modified differential transform method can achieve good results in predicting the solution of such problems.

The Sensorless Control of PMSM Using the Coordinate Transform and Differential Method (좌표 변환과 미분 기법을 이용한 PMSM의 센서리스 제어)

  • Choi, Chul;Won, Tae-Hyun;Park, Sung-Jun;Park, Han-Woong;Kim, Chul-Woo
    • The Transactions of the Korean Institute of Power Electronics
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    • v.8 no.2
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    • pp.107-115
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    • 2003
  • PMSM(permanent magnet synchronous motor) are widely used in industrial and home appliance because of their high torque to inertia ratio, superior power density, and high efficiency For the high control performance, accurate information of rotor position Is essential. In recent, sensorless algorithms are much studied due to high cost problem of position sensor and low reliability in harsh environment. In the proposed method, a differential linkage flux is used for the estimation of rotor position. The differential magnetic field flux is calculated by the voltage equations and measured phase current without any integration and differential calculus. Instead of linkage flux calculation with differential operation, a new mathematical differential method is introduced by a-$\beta$ transformation. The proposed novel position sensorless speed control scheme is verified through experimental results.

Irradiation-Adaptive Operating Algorithm of Differential Power Processing Module for Photovoltaic Panels Including Multiple Strings (복수의 스트링을 포함한 태양광 패널에 적용 가능한 차동 전력 조절기의 조사량 적응형 동작 알고리즘)

  • Kim, Geun-Wook;Kim, Mina;Jung, Jee-Hoon
    • The Transactions of the Korean Institute of Power Electronics
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    • v.27 no.1
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    • pp.63-73
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    • 2022
  • The differential power processor (DPP) system is used to prevent a decrease in the total power generation due to the partial shading of photovoltaic modules. Compared with traditional series strings and full power processing (FPP) converter solutions, the DPP converter system shows advantages in terms of modularization process, volume, and transformation losses. However, the system has a limitation in that the power generation process of differential power processors produces lower power under certain irradiation conditions. This paper proposes a structure and operating algorithm for differential power processing modules that can use a single power converter for multiple strings. The operational algorithm for the differential power regulators allows the maximum power generation to be maintained in comparison with conventional series-connected and differential power processing methods even under various partial shading conditions. The operation algorithm of the proposed DPP is verified by Matlab/Simulink simulations.