• 제목/요약/키워드: Transient State

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과도상태에서 PT 철공진의 해석적 분석 (Analytical Analysis of PT Ferroresonance in the Transient-State)

  • 강용철;이병은;정태영;김연희
    • 전기학회논문지
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    • 제59권5호
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    • pp.860-865
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    • 2010
  • When a circuit breaker is opened, a large capacitance around the buses, the circuit breaker and the potential transformer (PT) might cause PT ferroresonance. During PT ferroresonance, the iron core repeats saturation and unsaturation even though the supplied voltage is a rated voltage. This paper describes an analytical analysis of PT ferroresonance in the transient-state. To analyze ferroresonance analytically, the iron core is modelled by a simplified two-segment core model in this paper. Thus, a nonlinear ordinary differential equation (ODE) for the flux linkage is changed into a linear ODE with constant coefficients, which enables an analytical analysis. In this simplified model, each state, which is either saturated or unsaturated state, corresponds to one of the three modes, i.e. overdamping, critical damping and underdamping. The flux linkage and the voltage in each state are obtained analytically by solving the linear ODE with constant coefficients. The proposed transient analysis is effective in the more understanding of ferroresonance and thus can be used to design a ferroresonance prevention or suppression circuit of a PT.

평균속도 개념을 적용한 상태공간에서의 과도응답해석 (A Transient Response Analysis in the State-space Applying the Average Velocity Concept)

  • 김병옥;김영철;김영춘;이안성
    • 한국소음진동공학회논문집
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    • 제14권5호
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    • pp.424-431
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    • 2004
  • An implicit direct-time integration method for obtaining transient responses of general dynamic systems is described. The conventional Newmark method cannot be directly applied to state-space first-order differential equations, which contain no explicit acceleration terms. The method proposed here is the state-space Newmark method that incorporates the average velocity concept, and can be applied to an analysis of general dynamic systems that are expressed by state-space first-order differential equations. It is also readily coded into a program. Stability and accuracy analyses indicate that the method is numerically unconditionally stable like the conventional Newmark method, and has a period error of 2nd-order accuracy for small damping and 4th-order for large damping and an amplitude error of 2nd-order, regardless of damping. In addition, its utility and validity are confirmed by two application examples. The results suggest that the proposed state-space Newmark method based on average velocity be generally applied to the analysis of transient responses of general dynamic systems with a high degree of reliability with respect to stability and accuracy.

평균속도 개념을 적용한 상태공간에서의 과도동적응답 해석 (A Transient Dynamic Response Analysis in the State-Space Applying the Average Velocity)

  • 이안성;김병옥;김영철;김영춘
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2003년도 추계학술대회논문집
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    • pp.465-470
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    • 2003
  • In this study, the state-space Newmark method based on average velocity is presented to analyse the transient dynamic response for general dynamic system. The conventional Newmark method based on average acceleration cannot he directly to the first-order state-space differential equations introducing the state-space vector. To overcome this problem, the time-step integration algorithm, based on average velocity concept, suitable for the first-order state-space differential equations is proposed In results, the proposed method has %he numerical stability and order of accuracy, which is proved analytically, equal to those of the conventional Newmark method based on average acceleration. Also, the formulation for numerical solution is very simple and the calculation time Is nearly equal to that of the conventional Newmark method based on average acceleration in spite of an increase of two times over matrix size. This method will be look forward to applying the general dynamic system to calculate the transient dynamic response.

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탄성기반에서 과도 열탄성 접촉에 대한 열 접촉 저항의 영향 (Effect of Thermal Contact Resistance on Transient Thermoelastic Contact for an Elastic Foundation)

  • 장용훈;이승욱
    • 대한기계학회논문집A
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    • 제30권7호
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    • pp.833-840
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    • 2006
  • The paper presents a numerical solution to the problem of a hot rigid indenter sliding over a thermoelastic Winkler foundation with a thermal contact resistance at constant speed. It is shown analytically that no steady-state solution can exist for sufficiently high temperature or sufficiently small normal load or speed, regardless of the thermal contact resistance. However the steady state solution may exist in the same situation if the thermal contact resistance is considered. This means that the effect of the large values of temperature difference and small value of force or velocity which occur at no steady state can be lessened due to the thermal contact resistance. When there is no steady state, the predicted transient behavior involves regions of transient stationary contact interspersed with regions of separation regardless of the thermal contact resistance. Initially, the system typically exhibits a small number of relatively large contact and separation regions, but after the initial transient, the trailing edge of the contact area is only established and the leading edge loses contact, reducing the total extent of contact considerably. As time progresses, larger and larger numbers of small contact areas are established, unlit eventually the accuracy of the algorithm is limited by the discretization used.

시간에 따른 탄성지지 열탄성 접촉에 대한 열접촉저항의 영향 (Effects of Thermal Contact Resistance on Transient Thermoelastic Contacts for an Elastic Foundation)

  • 장용훈
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 춘계학술대회논문집
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    • pp.330-333
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    • 2005
  • The paper presents a numerical solution to the problem of a hot rigid indenter siding over a thermoelastic Winkler foundation with a thermal contact resistance at constant speed. It is shown analytically that no steady-state solution can exist for sufficiently high temperature or sufficiently small normal load or speed regardless of the thermal contact resistance. However, the steady state solution may exist in the same situation if the thermal contact resistance is considered. This means that the effect of the large values of temperature difference and small value of force or velocity which occur at no steady state can be lessened due to the thermal contact resistance. When there is no steady-state the predicted transient behavior involves regions of transient stationary contact interspersed with regions of separation regardless of the thermal contact resistance. Initially, the system typically exhibits a small number of relatively large contact and separation regions, but after the initial transient the trailing edge of the contact area is only established and the leading edge loses contact, reducing the total extent of contact considerably. As time progresses, larger and larger number of small contact areas are established, until eventually the accuracy of the algorithm is limited by the discretization used.

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Development and validation of transient analysis module in nodal diffusion code RAST-V with Kalinin-3 coolant transient benchmark

  • Jaerim Jang;Deokjung Lee
    • Nuclear Engineering and Technology
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    • 제56권6호
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    • pp.2163-2173
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    • 2024
  • This study introduces a transient analysis module developed for RAST-V and validates it using the Kalinin-3 benchmark problem. For the benchmark analysis, RAST-V standalone and STREAM/RAST-V calculations were performed. STREAM supplies the few-group constants and RAST-V conducts a 3D core simulation utilizing few-group cross-sectional data. To improve accuracy, the main solver was developed based on the advanced semi-analytic nodal method. To evaluate the computational capability of the transient analysis module in RAST-V, Kalinin-3 benchmark is employed. Kalinin-3 represents a coolant transient benchmark that offers experimental data during the deactivation of the Main Circulation Pumps. Consequently, the transient calculations reflected the changes in the reactor flow rate. Benchmark comprising steady-state and transient calculations. During the steady state, the STREAM/RAST-V combination demonstrated a 30 ppm root mean square difference from 0 to 128.50 EFPD. For the transient calculations, STREAM/RAST-V showed power differences within ±7 % over a range of 0-300 s. Axial offset differences were within ±3 %, and the RMS difference in radial power ranged within 2.596 % at both 0 and 300 s. Overall, this study effectively demonstrated the newly developed transient solver in RAST-V and validated it using the Kalinin-3 benchmark problem.

지하수 유동을 고려한 원형수직구 거동분석 (Effect of Groundwater Flow on the Behavior of Circular Vertical Shaft)

  • 박희진;박종전;정상섬
    • 한국지반공학회논문집
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    • 제38권6호
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    • pp.29-39
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    • 2022
  • 도심지 원형 수직구 굴착 시 주변 지반의 침하는 포장 하부에 설치된 인프라시설의 안정성 뿐만 아니라 상부구조의 안정성에 큰 영향을 미친다. 배면지반의 침하량을 예측하는 방법은 지반조건, 벽체 변위, 해석 방법 등에 따라 달라지므로 근접시공 설계자는 합리적으로 침하량을 예측해야한다. 본 연구에서는 3차원 유한요소해석을 활용하여 굴착심도별로 지하수의 침투에 따른 영향을 고려하기 위해 비정상류, 정상류, 지하수를 고려하지 않은 조건으로 배면지반의 침하와 벽체의 변위 그리고 토압분포를 검토하였다. 수치해석결과, 배면지반의 침하량과 침하영향범위는 비정상류 상태가 정상류 상태보다 크게 발생하였으나 벽체의 수평변위는 반대로 정상류 상태가 비정상류 상태보다 크게 나타났다. 침하량의 크기는 굴착 깊이에 따라 다르게 나타났으며 굴착 깊이 별로 토사층에서 가장 크고 풍화암층, 연암층 순으로 감소하였다. 또한 수압을 포함한 수평응력값을 기존의 Rankine 토압식과 비교했을 때 토사지반에서는 유사한 경향을 보이나 암반층에서는 수치해석 결과보다 작은 토압형태가 나타남을 확인 할 수 있었다.

열식 질량 유량계 센서관의 과도 특성에 관한 연구 (Study on the Transient Characteristics of the Sensor Tube of a Thermal Mass Flow Meter)

  • 김동권;한일영;김성진
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 추계학술대회
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    • pp.308-313
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    • 2003
  • Thermal mass flow meters (TMFMs) are most widely used for measuring mass flow rates in the semiconductor industry. A TMFM should have a short response time in order to measure the time-varying flow rate rapidly and accurately. Therefore it is important to study transient heat transfer phenomena in the sensor tube of a TMFM that is the most critical part in the TMFM. In the present work, a simple numerical model for transient heat transfer phenomena of the sensor tube of a TMFM is presented. Numerical solutions for the tube and fluid temperatures in a transient state are obtained using the proposed model and compared with experimental results to validate the proposed model. Based on numerical solutions, heat transfer mechanism in a transient state in the sensor tube is explained. Finally, a correlation for predicting the response time of a sensor tube is presented. The correlation is verified by experimental results.

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Xenon Initialization for Reactor Core Transient Simulation

  • Kim, Yong-Rae;Song, Jae-Seung;Lee, Chang-Kue;Lee, Chung-Chan;Zee, Sung-Quun
    • 한국원자력학회:학술대회논문집
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    • 한국원자력학회 1996년도 춘계학술발표회논문집(1)
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    • pp.88-93
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    • 1996
  • The initial condition should be consistent with real reactor core state for the simulation of the core transient. The initial xenon distribution, which cad not be measured in the core, has a significant effect on the transient with xenon dynamics of PWR. In the simulation of the transient stating from non-equilibrium xenon state, the accurate initialization of the non-equilibrium xenon distribution is essential to predict the core transient behavior. In this study, the xenon initialization method to predict the core transient more accurately was developed through the first-order perturbation theory of the relationship between simulated power and measured power distribution and verified by the application of the simulation for a startup test of Yonggwang Unit 3.

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Grade 91 강의 크리프 균열성장 거동에 대한 천이영역과 정상상태영역의 상관 관계 (Correlation Between Transient Regime and Steady-State Regime on Creep Crack Growth Behavior of Grade 91 Steel)

  • 박재영;김우곤;;김선진;김응선
    • 대한기계학회논문집A
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    • 제39권12호
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    • pp.1257-1263
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    • 2015
  • 제 4 세대 원자로의 고온 구조재료로 사되는 Grade 91 강의 크리프 균열성장 거동에 대한 천이영역과 정상상태영역에서의 상관 관계를 조사하였다. 이를 위해 $600^{\circ}C$의 동일한 온도 및 동일한 하중조건에서 1/2" CT 시편을 사하여 크리프 균열성장 시험 데이터를 얻었다. 크리프 균열성장 속도식은 $C^*$-파괴매개변수를 사하여 천이영역과 정상상태영역에서의 평가 식을 각각 도출하였다. $C^*$와 da/dt 의 관계에서 천이영역의 크리프 균열성장 속도는 시험 데이터의 산포가 크지만 정상상태영역의 크리프 균열성장 속도와 비슷한 기울기로서 상관성이 있었으며 천이영역 균열성장속도는 정상상태 균열성장속도에 비해 약 5.6 배 낮았다. 본 결과를 이하면 짧은 시간의 천이영역 균열성장속도로부터 장시간의 시험으로 얻을 수 있는 정상상태 균열성장속도를 예측할 수 있다.