• Journal of applied mathematics & informatics
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• 제40권3_4호
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• pp.669-674
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• 2022

In this paper, we shall consider some properties of the metric projection as a set valued mapping. For a set G in a metric space E, the mapping 𝜋_G; x → 𝜋_G(x) of E into 2^G is called set valued metric projection of E onto G. We investigated the properties related to the projection P_S(·)(·) and 𝜋_S(·)(·) as one-sided best simultaneous approximations.

• 한국산학기술학회논문지
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• 제9권5호
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• pp.1134-1138
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• 2008

본 논문에서는 전력분배기의 설계에 필수적인 분포정수 임피던스 변환기의 합성법을 제시하고, 이에 의하여 광대역 전력분배기를 설계한다. 변환기의 전달함수는 Chebyshev 근사로 합성하며, 변환기의 소자값은 최소 삽입손실(MIL)과 리플에 대하여 계산된다. 변환기의 요구 성능은 전달함수의 MIL과 리플을 최적화함으로써 구할 수 있다. 이의 응용 예로써 $2{\sim}8GHz$에서 동작하는 4-경로 전력분배기(four-way power divider)를 설계하였다. 실험 결과, 전력분배기는 주어진 주파수 대역에서 설계치에 근접하는 성능을 나타내어, 분포정수 회로합성에 의한 변환기의 설계는 전력분배기의 설계에 유용하게 사용될 수 있음을 입증하였다.

• 대한전자공학회논문지TC
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• 제46권11호
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• pp.50-55
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• 2009

본 논문에서는 분포정수 회로합성을 이용하여 최적의 정전용량 흡수 능력을 갖는 분포증폭기를 설계한다. 증폭기를 구성하는 여파기의 전달함수는 저역통과 Chebyshev 근사로 합성하며, 이의 정전용량 흡수 능력은 최소 삽입손실(MIL)과 리플의 함수로 계산한다. 분포증폭기의 능동 소자는 S-퍼래미터를 이용하여 등가회로로 모델링하며, 이의 정전용량은 전달함수의 MIL과 리플을 적절히 조정함으로써 여파기 구조로 흡수한다. 이의 응용 예로써, 0.1~7.5GHz의 주파수 대역에서 약 12.5dB의 이득을 갖는 분포증폭기를 설계하며, 실험을 통하여 정전용량 흡수 능력을 고려한 분포정수 회로합성이 분포증폭기의 설계에 유용하게 이용될 수 있음을 입증한다.

• Coupled systems mechanics
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• 제1권2호
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• pp.155-163
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• 2012

This paper presents analytical approximate solutions for the initial post-buckling deformation of the pipes in oil and gas wells. The governing differential equation with sinusoidal nonlinearity can be reduced to form a third-order-polynomial nonlinear equation, by coupling of the well-known Maclaurin series expansion and orthogonal Chebyshev polynomials. Analytical approximations to the resulting boundary condition problem are established by combining the Newton's method with the method of harmonic balance. The linearization is performed prior to proceeding with harmonic balancing thus resulting in a set of linear algebraic equations instead of one of non-linear algebraic equations, unlike the classical method of harmonic balance. We are hence able to establish analytical approximate solutions. The approximate formulae for load along axis, and periodic solution are established for derivative of the helix angle at the end of the pipe. Illustrative examples are selected and compared to "reference" solution obtained by the shooting method to substantiate the accuracy and correctness of the approximate analytical approach.

• 전자공학회논문지A
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• 제29A권11호
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• pp.49-56
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• 1992

In this paper a band-pass filter using dielectric resonators with tuning screw and spacer at Ku-band is designed and constructed. For the filter design and construction, the coupling coefficient K between two resonators is numberically evaluated. The external quality factor Q$_{ex}$ is also calculated with a microstrip line which is necessary for the field excitation of dielectric resonator. The coupling between dielectric resonator and microstrip line depends mainly upon the magnetic field and is principal parameter in band-pass filter. The Q$_{ex}$ and K data which are evaluated by numberical analysis are practically applied to the filter construction. The theoretical Band-pass filter responses are given by Chebyshev approximation and they are nearly similar to the experimental results.

• 전자공학회논문지D
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• 제35D권5호
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• pp.11-17
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• 1998

In this paper, the synthesis procedufe of impedance matching network is presented for broad-band microwave amplifier design, whereby amplifier operating in the octave bandwidth is designed and fabricated in detail. The transfer function of the matching netowrks is synthesized by chebyshev approximation and element values for the networks of specified topology are calculatd for various MILs and ripples. After the transistor is modeled by negative-image device model, the synthesis procedure for matching networks is applied to broad-band amplifier design which has electrical performance of about 12dB gain in 4 to 8GHz range. Experimental results obtained from the fabricated amplifier are shown to approach the electrical performance designed in the given frequency range. Construction of the impedance matching networks by transfer function synthesis is very useful method for the design of broad-band microwave amplifiers.

• Nuclear Engineering and Technology
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• 제46권3호
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• pp.407-412
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• 2014

In this research, we investigated the burnup characteristics and the conversion of fertile $^{232}Th$ into fissile $^{233}U$ in the core of a Sodium-Cooled Fast Reactor (SFR). The SFR fuel assemblies were designed for burning $^{232}Th$ fuel (fuel pin 1) and $^{233}U$ fuel (fuel pin 2) and include mixed minor actinide compositions. Monte Carlo simulations were performed using Serpent Code1.1.19 to compare with CRAM (Chebyshev Rational Approximation Method) and TTA (Transmutation Trajectory Analysis) method in the burnup calculation mode. The total heating power generated in the system was assumed to be 2000 MWth. During the reactor operation period of 600 days, the effective multiplication factor (keff) was between 0.964 and 0.954 and peaking factor is 1.88867.

• 한국산학기술학회논문지
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• 제7권4호
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• pp.602-607
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• 2006

본 논문에서는 전력 증폭기 설계에 유용한 분포정수 임피던스 정합회로의 합성법을 제시하고, 이에 의하여 RF 전력 증폭기를 설계하였다. 분포정수 정합회로의 전달함수는 Chebyshev 근사에 의하여 유도되며, 주어진 구조의 회로 소자 값은 최소 삽입손실과 리플의 함수로 주어진다. 이의 응용 예로써 전력 트랜지스터를 로드 풀(load-pull) 데이터로 모델링한 다음, 정합회로 합성을 이용하여 200~900MHz의 대역에서 17dB의 이득 및 20W의 출력 전력에서 -43dBc 이하의 IM3을 갖는 전력 증폭기를 설계하였다. 제작된 증폭기는 주어진 대역에서 설계치에 근접하는 특성을 나타내어 전달함수에 의한 분포정수 정합회로의 합성이 RF 전력 증폭기의 설계에 유용하게 사용될 수 있음을 입증하였다.

• Nuclear Engineering and Technology
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• 제52권9호
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• pp.1907-1916
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• 2020

In this work, the depletion capability implemented in Monte Carlo code MCS is investigated to predict the isotopic compositions of spent nuclear fuel (SNF). By comparison of MCS calculation results to post irradiation examination (PIE) data obtained from one pressurized water reactor (PWR), the validation of this capability is conducted. The depletion analysis is performed with the ENDF/B-VII.1 library and a fuel assembly model. The transmutation equation is solved by the Chebyshev Rational Approximation Method (CRAM) with a depletion chain of 3820 isotopes. 18 actinides and 19 fission products are analyzed in 14 SNF samples. The effect of statistical uncertainties on the calculated number densities is discussed. On average, most of the actinides and fission products analyzed are predicted within ±6% of the experiment. MCS depletion results are also compared to other depletion codes based on publicly reported information in literature. The code-to-code analysis shows comparable accuracy. Overall, it is demonstrated that the depletion capability in MCS can be reliably applied in the prediction of SNF isotopic inventory.

• Nuclear Engineering and Technology
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• 제50권7호
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• pp.1043-1050
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• 2018

For an efficient Monte Carlo (MC) burnup analysis, an accurate high-order depletion scheme to consider the nonlinear flux variation in a coarse burnup-step interval is crucial accompanied with an accurate depletion equation solver. In a Seoul National University MC code, McCARD, the high-order depletion schemes of the quadratic depletion method (QDM) and the linear extrapolation/quadratic interpolation (LEQI) method and a depletion equation solver by the Chebyshev rational approximation method (CRAM) have been newly implemented in addition to the existing constant extrapolation/backward extrapolation (CEBE) method using the matrix exponential method (MEM) solver with substeps. In this paper, the quadratic extrapolation/quadratic interpolation (QEQI) method is proposed as a new high-order depletion scheme. In order to examine the effectiveness of the newly-implemented depletion modules in McCARD, four problems in the VERA depletion benchmarks are solved by CEBE/MEM, CEBE/CRAM, LEQI/MEM, QEQI/MEM, and QDM for gadolinium isotopes. From the comparisons, it is shown that the QEQI/MEM predicts ${k_{inf}}^{\prime}s$ most accurately among the test cases. In addition, statistical uncertainty propagation analyses for a VERA pin cell problem are conducted by the sensitivity and uncertainty and the stochastic sampling methods.