• Nuclear Engineering and Technology
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• 제43권6호
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• pp.531-546
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• 2011

The backward differentiation formula (BDF) method is applied to a three-dimensional reactor kinetics calculation for efficient yet accurate transient analysis with adaptive time step control. The coarse mesh finite difference (CMFD) formulation is used for an efficient implementation of the BDF method that does not require excessive memory to store old information from previous time steps. An iterative scheme to update the nodal coupling coefficients through higher order local nodal solutions is established in order to make it possible to store only node average fluxes of the previous five time points. An adaptive time step control method is derived using two order solutions, the fifth and the fourth order BDF solutions, which provide an estimate of the solution error at the current time point. The performance of the BDF- and CMFD-based spatial kinetics calculation and the adaptive time step control scheme is examined with the NEACRP control rod ejection and rod withdrawal benchmark problems. The accuracy is first assessed by comparing the BDF-based results with those of the Crank-Nicholson method with an exponential transform. The effectiveness of the adaptive time step control is then assessed in terms of the possible computing time reduction in producing sufficiently accurate solutions that meet the desired solution fidelity.

• Journal of Information Processing Systems
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• 제16권4호
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• pp.832-844
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• 2020

The degree of dispersion of a random variable can be described by the variance, which reflects the distance of the random variable from its mean. However, the time complexity of the traditional variance calculation algorithm is O(n), which results from full calculation of all samples. When the number of samples increases or on the occasion of high speed signal processing, algorithms with O(n) time complexity will cost huge amount of time and that may results in performance degradation of the whole system. A novel multi-step recursive algorithm for variance calculation of the time-varying data series with O(1) time complexity (constant time) is proposed in this paper. Numerical simulation and experiments of the algorithm is presented and the results demonstrate that the proposed multi-step recursive algorithm can effectively decrease computing time and hence significantly improve the variance calculation efficiency for time-varying data, which demonstrates the potential value for time-consumption data analysis or high speed signal processing.

• 한국광학회지
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• 제10권5호
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• pp.405-412
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• 1999

SSF 알고리즘의 고정된 구간을 개선하여 자동으로 구간을 선택함으로 계산시간을 줄인 Auto Z-step과, SSF 알고리즘에 사용되는 FFT 방법의 표본값을 자동적으로 줄여서 계산시간을 감소시킨 Auto T-step 알고리즘을 제안하였다. 2.5Gbps 100km 전송시 이 두 알고리즘을 사용한 것은 기존의 1km fixed step 알고리즘보다 1/120의 계산시간이 줄었고, 10Gbps 40km 전송시 최대 1/56으로 줄었으며, 오차는 모두-30㏈ 이하였다. eye diagram으로 kkm fixed step 알고리즘과 비교할 때 오차가 무시될 수 있음을 알 수 있었다.

• 한국주조공학회지
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• 제14권5호
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• pp.412-418
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• 1994

Efficient algorithm for the solidification simulation by FDM is described from the practical point of views. If a proper time step ${\Delta}t$ is selected, the calculation is accelerated by implicit algorithm with the temperature recovery method of latent heat method. The implicit routine in the calculation is processed by SOR method(relaxation factor＝1.5, truncation error＝$10^{-4}$). The calculation is more accelerated by linear-interpolated explicite algorithm with a time step larger than the minimum value of the time step. This explicit method, which is applicable to the practical casting simulation problems, produces almost same results with about 40% faster calculation speed compared with the conventional explicit method.

• Structural Engineering and Mechanics
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• 제81권5호
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• pp.591-606
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• 2022

When the friction pendulum system and shear keys work together to resist the ground motion, which inclined inputs (non 45°) to the bridge structure, the shear keys in XY direction will be sheared asynchronously, endowed the friction pendulum system with a violent curvilinear motion on the sliding surface during earthquakes. In view of this situation, firstly, this paper abandons the equivalent linearization model of friction and constructs a Spring-Coulomb friction plane isolation system with XY shear keys, and then makes a detailed mechanical analysis of the movement process of friction pendulum system, next, this paper establishes the mathematical model of structural time history response calculation by using the step-by-step integration method, finally, it compiles the corresponding computer program to realize the numerical calculation. The results show that the calculation method in this paper takes advantage of the characteristic that the friction force is always µmg, and creatively uses the "circle making method" to express the change process of the friction force and resultant force of the friction pendulum system in any calculation time step, which can effectively solve the temporal nonlinear action of the plane friction; Compared with the response obtained by the calculation method in this paper, the peak values of acceleration response and displacement response calculated by the unidirectional calculation model, which used in the traditional research of the friction pendulum system, are smaller, so the unidirectional calculation model is not safe.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1997년도 하계학술대회 논문집 D
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• pp.903-906
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• 1997

When large capacity generation stations that consist of several large units tend to pull out of step from main power system, stabilizing control scheme as emergency control for preventing loss of synchronism of the whole stations with the remaining system is devided into two steps that the first step is to perform on-line prediction for out-of-step and the next step is on-line calculation of the amount of generation shedding for the rest of generators to be in step when out of step is expected. This paper presents on-line prediction scheme for out-of-step based on P-$\delta$ curve estimation using real-time measurement and on-line calculation of generation shedding. The proposed stabilizing scheme was applied to case study of real power system and the results obtained by the method compare well with the results by simulation.

• 한국공간구조학회논문집
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• 제22권2호
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• pp.39-46
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• 2022

Recently, machine learning is widely used to solve optimization problems in various engineering fields. In this study, machine learning is applied to development of a control algorithm for a smart control device for reduction of seismic responses. For this purpose, Deep Q-network (DQN) out of reinforcement learning algorithms was employed to develop control algorithm. A single degree of freedom (SDOF) structure with a smart tuned mass damper (TMD) was used as an example structure. A smart TMD system was composed of MR (magnetorheological) damper instead of passive damper. Reward design of reinforcement learning mainly affects the control performance of the smart TMD. Various hyper-parameters were investigated to optimize the control performance of DQN-based control algorithm. Usually, decrease of the time step for numerical simulation is desirable to increase the accuracy of simulation results. However, the numerical simulation results presented that decrease of the time step for reward calculation might decrease the control performance of DQN-based control algorithm. Therefore, a proper time step for reward calculation should be selected in a DQN training process.

• 대기
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• 제33권4호
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• pp.331-341
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• 2023

A numerical forecasting models usually predict future states by performing time integration considering fixed static time-steps. A time-step that is too long can cause model instability and failure of forecast simulation, and a time-step that is too short can cause unnecessary time integration calculations. Thus, in numerical models, the time-step size can be determined by the CFL (Courant-Friedrichs-Lewy)-condition, and this condition acts as a necessary condition for finding a numerical solution. A static time-step is defined as using the same fixed time-step for time integration. On the other hand, applying a different time-step for each integration while guaranteeing the stability of the solution in time advancement is called an adaptive time-step. The adaptive time-step algorithm is a method of presenting the maximum usable time-step suitable for each integration based on the CFL-condition for the adaptive time-step. In this paper, the adaptive time-step algorithm is applied for the Korean Integrated Model (KIM) to determine suitable parameters used for the adaptive time-step algorithm through the monthly verifications of 10-day simulations (during January and July 2017) at about 12 km resolution. By comparing the numerical results obtained by applying the 25 second static time-step to KIM in Supercomputer 5 (Nurion), it shows similar results in terms of forecast quality, presents the maximum available time-step for each integration, and improves the calculation efficiency by reducing the number of total time integrations by 19%.

• 화약ㆍ발파
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• 제36권3호
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• pp.10-18
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• 2018

동적 하중을 받는 암반의 역학적 거동은, 같은 크기의 최대 하중이라도 정적으로 가해지는 경우와는 다른 특성을 보인다. 동적 하중 하에서의 거동 특성을 규명하기 위한 실험적 접근 방법은 동적 하중의 제어와 계측 및 해석에 있어서 정적 조건에서의 실험 방법보다 더 많은 어려움이 있다. 수치해석적 방법은 물리적 실험이 아니라 수치해석적으로 실험을 실시함으로써 물리적 제약을 덜 받으므로 설계 단계에서 매우 유력한 해석 도구가 될 수 있다. 그러나 수치해석방법은 해석방법의 알고리즘이 적정하더라도, 입력 자료와 경계조건의 설정에 따라 계산 결과가 많이 달라질 수 있으므로 해석 시 세심한 주의가 필요하다. 본 논문에서는 동적 하중을 받는 암반 구조물의 거동을 수치해석적으로 검토할 때, 경계 조건, 동적 하중과 계산 시간 간격, 동적 하중 특성이 계산 결과에 미치는 영향을 검토하여, 동적 해석 시 경계조건과 계산 시간 간격의 설정 지침을 제공하고자 하였다.

• 한국구조물진단유지관리공학회 논문집
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• 제27권5호
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• pp.75-83
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• 2023

프리스트레스트 콘크리트 철도 교량에서 발생하는 과다한 솟음 문제를 분석하는 연구의 일환으로, 이 논문에서는 콘크리트 구조물의 시간에 따른 솟음 증가량을 나타내는 크리프 계수에 대하여 산정 방법과 분석 결과를 제시한다. 설계기준의 크리프 계수 산정식을 사용하여 국내 12개 지역의 기후 조건(상대습도와 온도)을 적용한 크리프 계수를 구하고, 기후 조건에 대한 지역별 및 재하 시기별 차이가 크리프 계수에 미치는 영향을 분석한다. 재하 초기에 많이 발생하는 크리프를 적절하게 산정하기 위하여 시기별 기후조건을 구분하여 고려하도록 시간 단계해석 방법을 적용하여 상세 분석한다. 지역의 평균 기후조건을 적용하여 구한 크리프 계수는 시간 단계 해석으로 구한 크리프 계수의 평균과 비슷하며, 시간 단계 해석을 통하여 크리프 계수에 미치는 상대습도와 온도의 상쇄, 중첩 효과 및 재하 초기 기후 효과를 적절하게 나타낼 수 있음을 보인다.