• Title/Summary/Keyword: Sensitivity coefficients

Search Result 439, Processing Time 0.028 seconds

Research on the calculation method of sensitivity coefficients of reactor power to material density based on Monte Carlo perturbation theory

  • Wu Wang;Kaiwen Li;Yuchuan Guo;Conglong Jia;Zeguang Li;Kan Wang
    • Nuclear Engineering and Technology
    • /
    • v.55 no.12
    • /
    • pp.4685-4694
    • /
    • 2023
  • The ability to calculate the material density sensitivity coefficients of power with respect to the material density has broad application prospects for accelerating Monte Carlo-Thermal Hydraulics iterations. The second-order material density sensitivity coefficients for the general Monte Carlo score have been derived based on the differential operator sampling method in this paper, and the calculation of the sensitivity coefficients of cell power scores with respect to the material density has been realized in continuous-energy Monte Carlo code RMC. Based on the power-density sensitivity coefficients, the sensitivity coefficients of power scores to some other physical quantities, such as power-boron concentration coefficients and power-temperature coefficients considering only the thermal expansion, were subsequently calculated. The effectiveness of the proposed method is demonstrated in the power-density coefficients problems of the pressurized water reactor (PWR) moderator and the heat pipe reactor (HPR) reflectors. The calculations were carried out using RMC and the ENDF/B-VII.1 neutron nuclear data. It is shown that the calculated sensitivity coefficients can be used to predict the power scores accurately over a wide range of boron concentration of the PWR moderator and a wide range of temperature of HPR reflectors.

DEVELOPMENT OF CALCULATION METHOD OF SENSITIVITIES FOR LIGHT WATER REACTORS

  • Takeda, Toshikazu;Foad, Basma
    • Nuclear Engineering and Technology
    • /
    • v.45 no.6
    • /
    • pp.753-758
    • /
    • 2013
  • A new method of calculating sensitivity coefficients of core characteristics relative to infinite-dilution cross sections has been developed. Conventional sensitivity coefficients are evaluated for the changes of effective cross sections which are dependent on individual models of core and cell. Therefore a correction has been derived to the conventional sensitivity coefficients based on the perturbation theory. The accuracy of the present method has been verified by comparing numerical results of sensitivity coefficients with a reference Monte-Carlo method.

Estimating Ozone Sensitivity Coefficients to NOx and VOC Emissions Using BFM and HDDM for A 2007 June Episode (HDDM과 BFM을 이용한 NOx와 VOC 배출량에 대한 오존민감도계수 산정 및 결과 비교: 2007년 6월 수도권 사례)

  • Kim, Soon-Tae
    • Journal of Environmental Science International
    • /
    • v.20 no.11
    • /
    • pp.1465-1481
    • /
    • 2011
  • The accuracy of ozone sensitivity coefficients estimated with HDDM (High-order Decoupled Direct Method) can vary depending on the $NO_x$ (Nitrogen Oxides) and VOC (Volatile Organic Compound) conditions. In order to evaluate the applicability of HDDM over the Seoul Metropolitan Area (SMA) during a high ozone episode in 2007 June, we compare BFM (Brute Force Method) and HDDM in terms of the $1^{st}$-order ozone sensitivity coefficient to explain ozone change in response to changes in NOx and VOC emissions, and the $2^{nd}$-order ozone sensitivity coefficient to represent nonlinear response of ozone to the emission changes. BFM and HDDM estimate comparable ozone sensitivity coefficients, exhibiting similar spatial and temporal variations over the SMAduring the episode. NME (Normalized Mean Error) between BFM and HDDM for the episode average $1^{st}$- and $2^{nd}$-order ozone sensitivity coefficients to NOx and VOC emissions are less than 3% and 9%, respectively. For the daily comparison, NME for the $1^{st}$- and $2^{nd}$-order ozone sensitivity coefficients are less than 4% ($R^2$ > 0.96) and 15% ($R^2$ > 0.90), respectively. Under the emission conditions used in this study, two methods show negative episode average $1^{st}$-order ozone sensitivity coefficient to $NO_x$ emissions over the core SMA. The $2^{nd}$-order ozone sensitivity coefficient to $NO_x$ emissions leads ozone to respond muchnonlinear to the reduction in $NO_x$ emissions over Seoul. Nonlinear ozone response to reduction in VOC emissions is mitigated due to the $2^{nd}$-order ozone sensitivity coefficient which is much smaller than the $1^{st}$-order ozone sensitivity coefficient to the emissions in the magnitude.

Comparison of the first and the second order eigenvalue sensitivity coefficients affected by generator modeling (발전기 모델링 정도에 의한 고유치 일차${\cdot}$이차 감도계수 비교)

  • Kim Deok Young
    • Proceedings of the KIEE Conference
    • /
    • summer
    • /
    • pp.345-347
    • /
    • 2004
  • In small signal stability analysis of power systems, eigenvalue analysis is the most useful method and the detailed modeling of generator has an important effect to the eigenvalues. Generator full model is used for precise dynamic analysis of generators and controllers while two-axis model is used for multi-machine systems because of the reduced order of the state matrix. Also, the eigenvalue sensitivity coefficients are used for optimizing controller parameters to improve system stability. This paper compare the first and second order eigenvalue sensitivity coefficients of controllers using generator full model with those of two-axis model. As a result of an example, the estimated eigenvalues using the first and the second eigenvalue sensitivity coefficients using generator full model is very close to those of state matrix. Also the error ratios throughout a wide range of controller parameters is less than $1\%$.

  • PDF

The Determination of Temperature and Humidity Sensitivity Coefficients of Torque Transducers using Seasonal Climatic Changes of Ambient Conditions in the Laboratory (계절에 따른 실험실 환경변화를 이용한 토크측정기의 온도 및 습도 감도계수 결정)

  • Derebew, Mulugeta;Kim, Min Seok;Park, Yon Kyu;Lee, Ho Young
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.32 no.2
    • /
    • pp.185-190
    • /
    • 2015
  • This paper presents a new method to determine sensitivity coefficients of temperature and humidity of torque transducers by using a natural and seasonal variation of ambient conditions at the laboratory. We had measured the sensitivities of the torque transducers over almost one year using the KRISS 2 kN m torque standard machine. The sensitivity data acquired at various ambient conditions were processed using our measurement model to extract the sensitivity coefficients of temperature and humidity simultaneously with high precision. A comparison with a previous method using an environmental control chamber was carried out to test the feasibility of using our new method. Two results agreed within the uncertainty. We revealed that the torque measuring errors could be 8 times higher than the measurement and calibration capability of KRISS torque standard machine if the sensitivity changes due to the temperature and humidity are not properly corrected during a calibration.

Uncertainty in Potentiodynamic Polarization Resistance Measurement (동전위 분극저항 측정에서의 불확도)

  • Kim, Jong Jip
    • Corrosion Science and Technology
    • /
    • v.8 no.5
    • /
    • pp.193-196
    • /
    • 2009
  • For the estimation of uncertainty in potentiodynamic polarization resistance measurement, the type A uncertainty was measured using type 316 stainless steel in an acidified NaCl solution. Sensitivity coefficients were determined for measurand such as scan rate of potential, temperature of solution, concentration of NaCl, concentration of HCl, surface roughness of specimen and flow rate of purging gas. Sensitivity coefficients were large for the measurand such as the scan rate of potential, temperature of solution and roughness of specimen. However, the sensitivity coefficients were not the major factors influencing the combined standard uncertainty of polarization resistance due to the low values of uncertainty in measurements of the measurands. A major influencing factor was the concentration of NaCl. The value of type A uncertainty was 1.1 times the value of type B uncertainty, and the combined standard uncertainty was 10.5 % of the average value of polarization resistance.

Analysis of the first order eigenvalue sensitivity affected by generator model (발전기 모델링 정도에 의한 고유치 감도계수에 미치는 영향해석)

  • Cho, Eon-Jung;Lee, Kun-Jae;Kim, Deok-Young
    • Proceedings of the KIEE Conference
    • /
    • 2003.07a
    • /
    • pp.119-121
    • /
    • 2003
  • In small signal stability analysis of power systems, eigenvalue analysis is the most useful method and the detailed modeling of generator gives an important effect to the eigenvalues. Generator full model is used for precise dynamic analysis of generators and controllers while two-axis model is used for multimachine systems because of the reduced order of the state matrix. Also, the eigenvalue sensitivity coefficients are used for optimization of controller parameters to improve system stability. This paper compare the first order eigenvalue sensitivity coefficients of controllers in case of generator full model with those of two-axis model. As a result of an example the estimated eigenvalues using sensitivity coefficients in case of generator full model is very close to those of state matrix within 1% error ratios.

  • PDF

Design of Sensitivity-Maximizing Input for Submersibles' Manoeuvring Coefficients using Genetic Algorithm Technique (유전 알고리즘을 이용한 수중운동체 조종성미계수의 민감도 최대화 입력 설계)

  • Yeo, Dong-Jin;Rhee, Key-Pyo
    • Journal of the Society of Naval Architects of Korea
    • /
    • v.43 no.2 s.146
    • /
    • pp.156-163
    • /
    • 2006
  • The accuracy of estimates of hydrodynamic coefficients can be increased by using sensitivity-maximizing inputs. In this study, sensitivity-maximizing actuator commands of a submersible, which are sequences of bang-bang type commands, were obtained using Genetic Algorithm (GA) optimization technique. By comparing the total sensitivity values, deduced actuator inputs were found to be superior to the other sea trials. Based on the sensitivity distribution of conventional sea trials and sensitivity distribution results through deduced input scenario a review of submersibles' manoeuvring equations of motion was conducted .

A Comparison of Optimization Algorithms: An Assessment of Hydrodynamic Coefficients

  • Kim, Daewon
    • Journal of the Korean Society of Marine Environment & Safety
    • /
    • v.24 no.3
    • /
    • pp.295-301
    • /
    • 2018
  • This study compares optimization algorithms for efficient estimations of ship's hydrodynamic coefficients. Two constrained algorithms, the interior point and the sequential quadratic programming, are compared for the estimation. Mathematical optimization is designed to get optimal hydrodynamic coefficients for modelling a ship, and benchmark data are collected from sea trials of a training ship. A calibration for environmental influence and a sensitivity analysis for efficiency are carried out prior to implementing the optimization. The optimization is composed of three steps considering correlation between coefficients and manoeuvre characteristics. Manoeuvre characteristics of simulation results for both sets of optimized coefficients are close to each other, and they are also fit to the benchmark data. However, this similarity interferes with the comparison, and it is supposed that optimization conditions, such as designed variables and constraints, are not sufficient to compare them strictly. An enhanced optimization with additional sea trial measurement data should be carried out in future studies.

Tune of Hydrodynamic Coefficients Based on Empirical Formula by Using Manoeuvring Performance Indices of a Ship (선박 조종성능지수를 활용한 경험식 기반 유체력 미계수의 보정)

  • Kim, Dong Jin;Kim, Yeon Gyu
    • Journal of the Society of Naval Architects of Korea
    • /
    • v.57 no.6
    • /
    • pp.331-344
    • /
    • 2020
  • Ship's hydrodynamic coefficients in manoeuvring equations are generally derived by captive model tests or numerical calculations. Empirical formulas have been also proposed in some previous researches, which were useful for practical predictions of hydrodynamic coefficients of a ship by using main dimensions only. In this study, ship's hydrodynamic coefficients based on empirical formulas were optimized by using its free running test data. Eight manoeuvring performance indices including steady turning radius, reach in zig-zag as well as well-known IMO criteria indices are selected in order to compare simulation results with free runs effectively. Sensitivities of hydrodynamic coefficients on manoeuvring performance indices are analyzed. And hydrodynamic coefficients are tuned within fixed bounds in order of sensitivity so that they are tuned as little as possible. Linear and nonlinear coefficients are successively tuned by using zig-zag and turning performance indices. Trajectories and velocity components by simulations with tuned hydrodynamic coefficients are in good agreements with free running tests. Tuned coefficients are also compared with coefficients by captive model tests or RANS calculations in other previous researches, and the magnitudes and signs of tunes are discussed.