• Title/Summary/Keyword: analog equation method

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ANALOG COMPUTING FOR A NEW NUCLEAR REACTOR DYNAMIC MODEL BASED ON A TIME-DEPENDENT SECOND ORDER FORM OF THE NEUTRON TRANSPORT EQUATION

  • Pirouzmand, Ahmad;Hadad, Kamal;Suh, Kune Y.
    • Nuclear Engineering and Technology
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    • v.43 no.3
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    • pp.243-256
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    • 2011
  • This paper considers the concept of analog computing based on a cellular neural network (CNN) paradigm to simulate nuclear reactor dynamics using a time-dependent second order form of the neutron transport equation. Instead of solving nuclear reactor dynamic equations numerically, which is time-consuming and suffers from such weaknesses as vulnerability to transient phenomena, accumulation of round-off errors and floating-point overflows, use is made of a new method based on a cellular neural network. The state-of-the-art shows the CNN as being an alternative solution to the conventional numerical computation method. Indeed CNN is an analog computing paradigm that performs ultra-fast calculations and provides accurate results. In this study use is made of the CNN model to simulate the space-time response of scalar flux distribution in steady state and transient conditions. The CNN model also is used to simulate step perturbation in the core. The accuracy and capability of the CNN model are examined in 2D Cartesian geometry for two fixed source problems, a mini-BWR assembly, and a TWIGL Seed/Blanket problem. We also use the CNN model concurrently for a typical small PWR assembly to simulate the effect of temperature feedback, poisons, and control rods on the scalar flux distribution.

Optimal Solution of integral Coefficients in Distance Relaying Algorithm for T/L Protection considering Frequency Characteristics (주파수 특성을 고려한 송전선 보호용 적분근사거리계전 알고리즘의 최적 적분 계수 결정)

  • Cho, Kyung-Rae;Hong, Jun-Hee;Jung, Byung-Tae;Cho, Jung-Hyun;Park, Jong-Keun
    • Proceedings of the KIEE Conference
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    • 1994.11a
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    • pp.42-44
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    • 1994
  • This paper presents the method of estimating integral coefficients of new distance relaying algorithm for transmission line protection. The proposed method is based on the differential equation calculates impedance value by approximation of integral term of integro-differential equation which relate voltage with current. As a result, we can determine the integral coefficients in least square error sense in frequency domain and we take into consideration the analog filter characteristics and frequency domain characteristics of the system to be protected. The simulation results showed that these coefficients can be successfully used to obtain impedance value in distance relay.

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Development of 3-D Volume PIV (3차원 Volume PIV의 개발)

  • Choi, Jang-Woon;Nam, Koo-Man;Lee, Young-Ho;Kim, Mi-Young
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.27 no.6
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    • pp.726-735
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    • 2003
  • A Process of 3-D Particle image velocimetry, called here, as '3-D volume PIV' was developed for the full-field measurement of 3-D complex flows. The present method includes the coordinate transformation from image to camera, calibration of camera by a calibrator based on the collinear equation, stereo matching of particles by the approximation of the epipolar lines, accurate calculation of 3-D particle positions, identification of velocity vectors by 3-D cross-correlation equation, removal of error vectors by a statistical method followed by a continuity equation criterior, and finally 3-D animation as the post processing. In principle, as two frame images only are necessary for the single instantaneous analysis 3-D flow field, more effective vectors are obtainable contrary to the previous multi-frame vector algorithm. An Experimental system was also used for the application of the proposed method. Three analog CCD camera and a Halogen lamp illumination were adopted to capture the wake flow behind a bluff obstacle. Among 200 effective particle s in two consecutive frames, 170 vectors were obtained averagely in the present study.

Bending analysis of functionally graded plates with arbitrary shapes and boundary conditions

  • Panyatong, Monchai;Chinnaboon, Boonme;Chucheepsakul, Somchai
    • Structural Engineering and Mechanics
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    • v.71 no.6
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    • pp.627-641
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    • 2019
  • The paper focuses on bending analysis of the functionally graded (FG) plates with arbitrary shapes and boundary conditions. The material property of FG plates is modelled by using the power law distribution. Based on the first order shear deformation plate theory (FSDT), the governing equations as well as boundary conditions are formulated and obtained by using the principle of virtual work. The coupled Boundary Element-Radial Basis Function (BE-RBF) method is established to solve the complex FG plates. The proposed methodology is developed by applying the concept of the analog equation method (AEM). According to the AEM, the original governing differential equations are replaced by three Poisson equations with fictitious sources under the same boundary conditions. Then, the fictitious sources are established by the application of a technique based on the boundary element method and approximated by using the radial basis functions. The solution of the actual problem is attained from the known integral representations of the potential problem. Therefore, the kernels of the boundary integral equations are conveniently evaluated and readily determined, so that the complex FG plates can be easily computed. The reliability of the proposed method is evaluated by comparing the present results with those from analytical solutions. The effects of the power index, the length to thickness ratio and the modulus ratio on the bending responses are investigated. Finally, many interesting features and results obtained from the analysis of the FG plates with arbitrary shapes and boundary conditions are demonstrated.

DEVELOPMENT OF ULTRA-LIGHT 2-AXES SUN SENSOR FOR SMALL SATELLITE

  • Kim, Su-Jeoung;Kim, Sun-Ok;Moon, Byoung-Young;Chang, Young-Keun;Oh, Hwa-Suk
    • Journal of Astronomy and Space Sciences
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    • v.22 no.1
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    • pp.47-58
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    • 2005
  • This paper addresses development of the ultra-light analog sun sensors for small satellite applications. The sun sensor is suitable for attitude determination for small satellite because of its small, light, low-cost, and low power consumption characteristics. The sun sensor is designed, manufactured and characteristic-tested with the target requirements of ${\pm}60^{\circ}$ FOV (Field of View) and pointing accuracy of ${\pm}2^{\circ}$. Since the sun sensor has nonlinear characteristics between output measurement voltage and incident angle of sunlight, a higher order calibration equation is required for error correction. The error was calculated by using a polynomial calibration equation that was computed by the least square method obtained from the measured voltages vs. angles characteristics. Finally, the accuracies of 1-axis and 2-axes sun sensors, which consist of 2 detectors, are compared.

A distance Relaying Algorithm Based on Numerical Solution of a Differential Equation for Transmission Line Protection (송전선 보호용 적분근사 거리계전 알고리즘)

  • 조경래;정병태;홍준희;박종근
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.43 no.5
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    • pp.711-720
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    • 1994
  • A distance relaying algorithm for detecting faults at power transmission line is presented in this paper. The algorithm is based on differential equation from relaton between voltage and current, which is composed of lumped resistance and inductance. During the fault transient state,the voltage and current signals are severely distorted due to the exponentially decaying DC offset and high frequency components, In spite of using small data, the presented integral method to evaluate R and L from voltage and current has high performance against these harmonics including DC offset. Therefore, the presented algorithm can be implemented with only a low order anti-aliasing analog filter and dosen't need any digital filter to remove specific components.

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Design and fabrication of Ka-Band Analog Phase Shifter using GaAs Hyperabrupt Junction Varactor Diodes and Reactance Matching (GaAs Hyperabrupt Junction 바랙터 다이오드와 리액턴스 정합을 이용한 Ka-Band 아날로그 위상변화기의 설계)

  • ;Seong-Ik Cho
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.14 no.5
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    • pp.521-526
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    • 2003
  • This paper describes performance data and design information on a reflection-type analog phase shifter used in Ka-band. Arranging a couple of GaAs hyperabrupt junction varactor diode parallel in a circuit, and applying reactance matching method accordingly, it is possible to 831 a large the phase shift. Design equation is formulated theoretically. Since the assembly process is important in Ka-band, this paper also includes the assembly process that is essential to minimize the generation of parasitic elements during the assembly process. It is obtained variable phase shift 220$^{\circ}$${\pm}$7$^{\circ}$ and insertion loss 5 dB${\pm}$1 dB as a measured result larger than the existing figure in Ka-band.

Shear deformation effect in flexural-torsional buckling analysis of beams of arbitrary cross section by BEM

  • Sapountzakis, E.J.;Dourakopoulos, J.A.
    • Structural Engineering and Mechanics
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    • v.35 no.2
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    • pp.141-173
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    • 2010
  • In this paper a boundary element method is developed for the general flexural-torsional buckling analysis of Timoshenko beams of arbitrarily shaped cross section. The beam is subjected to a compressive centrally applied concentrated axial load together with arbitrarily axial, transverse and torsional distributed loading, while its edges are restrained by the most general linear boundary conditions. The resulting boundary value problem, described by three coupled ordinary differential equations, is solved employing a boundary integral equation approach. All basic equations are formulated with respect to the principal shear axes coordinate system, which does not coincide with the principal bending one in a nonsymmetric cross section. To account for shear deformations, the concept of shear deformation coefficients is used. Six coupled boundary value problems are formulated with respect to the transverse displacements, to the angle of twist, to the primary warping function and to two stress functions and solved using the Analog Equation Method, a BEM based method. Several beams are analysed to illustrate the method and demonstrate its efficiency and wherever possible its accuracy. The range of applicability of the thin-walled theory and the significant influence of the boundary conditions and the shear deformation effect on the buckling load are investigated through examples with great practical interest.

Development of 3-D Stereo PIV by Homogeneous Coordinate System (호모지니어스 좌표계를 이용한 3차원 스테레오 PIV 알고리듬의 개발)

  • Kim, Mi-Young;Choi, Jang-Woon;Nam, Koo-Man;Lee, Young-Ho
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.27 no.6
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    • pp.736-743
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    • 2003
  • A process of 3-D particle image velocimetry, called here, as '3-D stereo PIV' was developed for the measurement of an illuminated slied section field of 3-D complex flows. The present method includes modeling of camera by a calibrator based on the homogeneous coordinate system, transfromation of the oblique-angled image to the right-angled image, identification of 2-D velocity vectors by 2-D cross-correlation equation, stereo matching of 2-D velocity vectors of two cameras, accurate calculation of 3-D velocity vectors by homogeneous coordinate system, removal of error vectors by a statistical method followed by a continuity equation criterior, and finally 3-D animation as the post processing. An experimental system was also used for the application of the proposed method. Three analog CCD cameras and an Argon-Ion Laser(300mW) for illumination were adopted to capture the wake flow behind a bluff obstacle.

Fuzzy Logic PID controller based on FPGA

  • Tipsuwanporn, V.;Runghimmawan, T.;Krongratana, V.;Suesut, T.;Jitnaknan, P.
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.1066-1070
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    • 2003
  • Recently technologies have created new principle and theory but the PID control system remains its popularity as the PID controller contains simple structure, including maintenance and parameter adjustment being so simple. Thus, this paper proposes auto tune PID by fuzzy logic controller based on FPGA which to achieve real time and small size circuit board. The digital PID controller design to consist of analog to digital converter which use chip TDA8763AM/3 (10 bit high-speed low power ADC), digital to analog converter which use two chip DAC08 (8 bit digital to analog converters) and fuzzy logic tune digital PID processor embedded on chip FPGA XC2S50-5tq-144. The digital PID processor was designed by fundamental PID equation which architectures including multiplier, adder, subtracter and some other logic gate. The fuzzy logic tune digital PID was designed by look up table (LUT) method which data storage into ROM refer from trial and error process. The digital PID processor verified behavior by the application program ModelSimXE. The result of simulation when input is units step and vary controller gain ($K_p$, $K_i$ and $K_d$) are similarity with theory of PID and maximum execution time is 150 ns/action at frequency are 30 MHz. The fuzzy logic tune digital PID controller based on FPGA was verified by control model of level control system which can control level into model are correctly and rapidly. Finally, this design use small size circuit board and very faster than computer and microcontroller.

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