• Title/Summary/Keyword: 차분방법

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Rational Estimation of Dam Low-flow Frequency Inflow (가뭄대응력 평가를 위한 합리적 댐 유입량 산정 연구)

  • Kim, Ji-Heun;Lee, Jae-Hwang;Kim, Yeong-O
    • Proceedings of the Korea Water Resources Association Conference
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    • 2021.06a
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    • pp.178-178
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    • 2021
  • 최근 들어 기후변화로 인한 극심한 가뭄 피해가 한반도에 발생하고 있다. 가뭄 상황에 대비하여 댐을 안정적으로 운영하기 위해서는 갈수빈도 유입량에 대한 분석이 필수적이다. 갈수빈도해석의 경우, 홍수빈도해석과 유사하게 확률밀도함수의 극값에 대한 확률값을 산정하며, 확률 분포형의 역함수에 비초과확률을 대입하여 산정한다. 그러나 홍수와 달리 가뭄은 지속기간이 긴 특성 탓에 자기상관을 고려해야하며, 댐 및 저수지 등 대규모 시설물의 경우 일반적인 하천과 달리 저류효과로 인해 누적 유량에 대한 고려가 필요하다. 이에 K-water는 자체 제작한 누가차분법 및 Disaggregation 두 가지 방법을 채택하여 실무에서 사용해왔다. 그러나 누가차분법을 사용할 경우, 빈도유입량이 지나치게 크게 산정되는 문제가 있으며, Disaggregation 방법을 사용하는 경우, 특정 빈도 이상의 극한가뭄에서 유입량의 차이가 유의미하지 않아 산정된 빈도유입량과 최근 발생한 극심한 가뭄의 실측유입량간 큰 차이가 발생하고 있다. 따라서 본 연구에서는 자기상관을 고려한 선형회귀모형에 근거하여 빈도유입량을 배분하는 방법을 제안한다. 또한, 앞서 서술한 네 가지 빈도유입량 방법(월빈도분석, 누가차분법, K-water Disaggregation, 자기상관 선형회귀모형)에 대한 수식적 비교를 수행하며, 국내 댐 유역에 적용 및 평가를 통해 자료 특성에 따른 적절한 빈도유입량 산정방식에 대한 기준을 제안한다. 본 연구를 통해 가뭄특성을 고려한 합리적인 댐 유입량을 산정함으로써 보다 유연한 수자원시설물의 가뭄대응이 이루어질 것으로 기대된다.

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Finite Difference Nonlinear Analysis of Composite Plate Structures with Various Layer Sequences (다양한 적층 배열을 갖는 복합 신소재 판 구조물의 유한차분 비선형 해석)

  • Lee, Sang Bum;Lee, Sang Youl;Lee, Rae Chul
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.9 no.4
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    • pp.159-168
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    • 2005
  • This study carries out a finite difference nonlinear analysis of anisotropic advanced composite plate structures with various layer sequences. In the numerical analysis of various mechanical problems involving complex partial differential equations, the finite difference method (FDM) developed in this study has an advantage over the finite element method in its ability to avoid mesh generation and numerical integration. Many studies in FDM have been made on clamped or simple boundary conditions using merely an energy approach. These approaches cannot be satisfied, however, with pivotal points along the free boundary. Therefore, this study addresses the nonlinear problem of anisotropic plates by adopting a finite difference modeling elimination of pivotal difference points in the case of a free boundary condition. Complex nonlinear behaviors of composite plate structures for various parameters, especially for layer sequences, are analyzed using the proposed approach.

A Study on the Computation of Digital Filter Frequency characteristics Based on a Difference Equation (차분방정식에 기초를 둔 디지털 필터의 주파수 특성 계산에 관한 연구)

  • 박인정;이태원
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.22 no.3
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    • pp.23-30
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    • 1985
  • When a digital filter implementation is based on a difference equation, the frequency characteristics cannot be obtained by direct computation, but be obtained by experiment or analogized by Z-transform. In this paper, the method to compute the frequency magnitude response of the function expressed in a difference equation is derived from PARSEVAL's relation. To verify the validity of this new method two types of digital filters are implemented. Both filters' characteristics are measured and their values are compared with the value obtained by a Z-transform and with the value by a difference equation. The result shows that the measured values and the values obtained by the difference equaton are more closer than the values by a Z-transform. And the difference-equaton-based filters' showed sharper roll off characteristics than the Z-transform-based filters. Therefore when a digital filter implementation is based on a difference equation, the characteristics computation by a difference equation predicts better practical results than based on Z-transform.

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Bow-Hull Form Development of a Container Ship by Using Finite Difference Method (유한차분법을 이용한 컨테이너선의 선수선형 개량)

  • S.C. Shin;U.C. Jeong;Y.G. Lee;K.J. Kang
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.4
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    • pp.1-6
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    • 1992
  • The finite difference simulation method for ship waves is introduced for hull form improvement. Numerical simulations were performed for a series of modified hull forms and the simulated results were used for the determination of the better hull forms. A 4,400 TEU container carrier which was designed and experimented in towing tank was chosen for the purpose. The calculation results are compared with those of model test, of simplified Neumann-kelvin problems and of Rankine source method. In this study, it is shown that the combination of the computer simulation by our method with the experiment provides one of the most economical and reliable procedures of hull form improvement and that the degree of accuracy of this method is so high that it can cope with very practical design purposes.

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A Pre-processing Technique for Performance Enhancement of the Differential Power Analysis Attack (차분 전력 분석 공격의 성능 향상을 위한 전처리 기법)

  • Lee, You-Seok;Lee, Yu-Ri;Lee, Young-Jun;Kim, Hyoung-Nam
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.20 no.4
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    • pp.109-115
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    • 2010
  • Differential Power Analysis (DPA) is well known as one of efficient physical side-channel attack methods using leakage power consumption traces. However, since the power traces usually include the components irrelevant to the encryption, the efficiency of the DPA attack may be degraded. To enhance the performance of DPA, we introduce a pre-processing technique which extracts the encryption-related parts from the measured power consumption signals. Experimental results show that the DPA attack with the use of the proposed pre-processing method detects correct cipher keys with much smaller number of signals compared to that of the conventional DPA attack.

DPA-Resistant Logic Gates and Secure Designs of SEED and SHA-1 (차분 전력분석 공격에 안전한 논리 게이트 및 SEED 블록 암호 알고리즘과 SHA-1 해쉬 함수에의 응용)

  • Baek, Yoo-Jin
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.18 no.6A
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    • pp.17-25
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    • 2008
  • The differential power attack (DPA)[8] is a very powerful side-channel attack tool against various cryptosystems and the masking method[10] is known to be one of its algorithmic countermeasures. But it is non-trivial to apply the masking method to non-linear functions, especially, to arithmetic adders. This paper proposes simple and efficient masking methods applicable to arithmetic adders. For this purpose, we use the fact that every combinational logic circuit (including the adders) can be decomposed into basic logic gates (AND, OR, NAND, NOR, XOR, XNOR, NOT) and try to devise efficient masking circuits for these basic gates. The resulting circuits are then applied to the arithmetic adders to get their masking algorithm. As applications, we applied the proposed masking methods to SEED and SHA-1 in hardware.

Application of the Difference Method in a Fault Test on GPS Carrier Phase Measurements (차분 기법을 적용한 GPS 반송파 위상 측정치 고장 검사)

  • Son, Eunseong;Im, Sung-Hyuck;Kim, Koon-Tack
    • Journal of Advanced Navigation Technology
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    • v.21 no.6
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    • pp.601-607
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    • 2017
  • This study performed fault test on global positoining system (GPS) carrier phase measurements, which is a preprocessing step to generate the positioning correction information based on the global navigation satellite system (GNSS) infrastructure. The existing carrier acceleration ramp step test (CARST) method affects the test result by using the mean value to eliminate the receiver clock error. In this regard, this study applied differencing and compared its results with those of the existing CARST. The fault simulation that applied artificial faults to the actual data found that the fault could be detected independently on each satellite when difference method was applied, and the single difference CARST and the double difference CARST produced similar results. The comparison with the existing method using actual data demonstrated the strengths and weaknesses of satellite and station single difference. Nevertheless, it is our understanding that it would require an additional analysis to determine whether the results were affected by the satellite or receiver clock error.

Improved Differential Attack of Seven-Round SEED (7-라운드 SEED에 대한 향상된 차분 공격)

  • Sung, Jae-Chul
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.20 no.4
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    • pp.25-30
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    • 2010
  • Block Cipher SEED which was developed by KISA are not only Korea national standard algorithm of TTA but also one of standard 128-bit block ciphers of ISO/IEC. Since SEED had been developed, many analyses were tried but there was no distinguishing cryptanalysis except the 7-round differential attack in 2002. The attack used the 6-round differential characteristic with probability $2^{-124}$ and analyzed the 7-round SEED with $2^{127}$ chosen plaintexts. In this paper, we propose a new 6-round differential characteristic with probability $2^{-110}$ and analyze the 7-round SEED with $2^{113}$ chosen plaintexts.

A study on estimating piecewise linear trend model using the simple moving average of differenced time series (차분한 시계열의 단순이동평균을 이용하여 조각별 선형 추세 모형을 추정하는 방법에 대한 연구)

  • Okyoung Na
    • The Korean Journal of Applied Statistics
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    • v.36 no.6
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    • pp.573-589
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    • 2023
  • In a piecewise linear trend model, the change points coincide with the mean change points of the first differenced time series. Therefore, by detecting the mean change points of the first differenced time series, one can estimate the change points of the piecewise linear trend model. In this paper, based on this fact, a method is proposed for detecting change points of the piecewise linear trend model using the simple moving average of the first differenced time series rather than estimates of the slope or residuals. Our Monte Carlo simulation experiments show that the proposed method performs well in estimating the number of change points not only when the error terms in the piecewise linear trend model are independent but also when they are serially correlated.

Multi-Damage Detection in RC Bridges Using Differential Evolutionary Algorithm (차분진화 알고리즘을 이용한 다중 손상된 RC교량의 손상평가)

  • Tak, Moon-Ho;Noh, Myung-Hyun;Park, Tae-Hyo;Jang, Han-Teak
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2009.04a
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    • pp.296-299
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    • 2009
  • 본 논문은 차분진화 알고리즘을 이용한 다중 손상된 RC 슬라브 교량에 대한 시스템 인식(System Identification)기법을 소개한다. 제안된 기법을 이용하여 이동하중에 의한 교량의 동적응답을 기반으로 손상유무, 위치, 크기가 추정된다. ABAQUS를 이용한 손상된 3차원 슬라브 모델을 실험대상으로 하여, 모델로부터 동적응답을 찾아내었다. 차분진화 알고리즘(Differential Evolutioinary algorithm)을 기반으로 동적응답과 Bi-variate Gaussian 함수로 강성저하된 2차원 유한요소 MZC모델을 이용하여 손상된 위치와 크기, 이동하중의 크기와 속도가 추정되었다. 차분진화 알고리즘을 이용한 RC교량의 손상위치와 이동하중에 대한 추정은 3%이내의 오차를 보였고, 이로부터 제안된 방법의 효율성과 정확성이 검증되었다.

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