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분산형 입자군집최적화 기법을 이용한 열전도 역문제의 해석에 관한 연구
백현욱(Hyunwook Beak),이영일(Youngil Lee),정정열(Jung-Yeul Jung),김태형(Tea-Hyoung Kim) 대한기계학회 2011 대한기계학회 춘추학술대회 Vol.2011 No.10
In this paper, we study on a meta-heuristic optimization methodology for the estimation of unknown heat source function in inverse heat conduction problems. Physical inverse heat conduction problem usually leads to the formulation of large-scale ill-posed nonlinear optimization problems. In order to solve such problems, a novel meta-heuristic optimization method, DPSO-QI (distributed particle swarm optimization with quantum infusion), is developed. Furthermore, Tikhonov regularization method is introduced to obtain a stabilized solution in this kind of inverse problems. Some numerical simulations are carried out to demonstrate its effectiveness, which clearly shows that the proposed DPSO-QI scheme is a novel and powerful one to estimate an unknown heat source function in inverse heat conduction problems.
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조홍연(Cho, Hong-Yeon),조범준(Cho, Bum-Jun),정신택(Jeong, Shin-Taek) 한국해안해양공학회 2005 한국해안해양공학회 논문집 Vol.17 No.3
모형의 지배방정식에서 정의되는 대표적인 매개변수는 유역 및 대기로부터의 오염부하량,퇴적물로부터의 오염물질 용출부하량, 확산계수, 반응계수 등으로, 직접적인 관측이 곤란할 뿐만 아니라 많은 관측비용을 필요로 한다. 본 연구에서는 매개변수를 포함한 오염물질 수지방정식을 구성하고, 구성된 선형 연립방정식을 이용하여 계산된 농도분포자료와 관측된 시계열 농도턱포자료를 이용하여 계산한 질량변화량의 차이를 최소화하는 역산문제를 구성하여 모형의 매개변수를 추정하는 방법을 제시하였다. 이 방법을 이용하여 천수만, 울산만(울산항)해 역에서 관측된 연직방향 농도분포 자료를 이용하여 연직 확산계수 및 대기로부터의 오염부하량, 퇴적물로부터의 오염물질 용출부하량, 확산·반응에 의한 오염물질 변화량 등을 추정하였으며, 추정 매개변수는 시기적으로 변동이 크게 나타났다. 한편, 관측자료와 추정매개변수를 이용한 계산결과를 비교한 결과, RMS 오차는 괄측자료 범위의 5.0% 이하, 일치지수는 0.95 이상으로 본 방법을 이용한 매개변수 추정결과의 신뢰성은 우수한 것으로 파악되었다. Typical water quality (WQ) parameters defined in the governing equation of the WQ model are the pollutant loads from atmosphere and watersheds, pollutant release rates from sediment, diffusion coefficient and reaction coefficient etc. The direct measurement of these parameters is very difficult as well as requires high cost. In this study, the pollutant budget equation including these parameters was used to construct the linear simultaneous equations. Based on these equations, the inverse problems were constructed and WQ parameter estimation method minimizing the sum of squared errors between the computed and observed amounts of the mass changes was suggested. WQ parameters, i.e., the atmospheric pollutant loads, sediment release rates, diffusion coefficients and reaction coefficient, were estimated using .this method by utilizing the vertical concentration profile data which has been observed in Cheonsu Bay and Ulsan Port. Values of the estimated parameters show a large temporal variation. However, this technique is persuasive in that the RHS (root mean square) error was less than 5.0% of the observed value ranges and the agreement index was greater than 0.95.
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임동주,배신철 대한기계학회 1990 대한기계학회논문집 Vol.14 No.6
본 연구에서는 역산법으로 열확산계수를 추정하기 위하여 비선형 매개변수 추 정법을 사용하며, 실험데이터의 통계적 처리방법, 추정이론을 정리하여 이 추정법에 적합한 알고리즘을 만들었다. 수정된 Gauss법을 컴퓨터에 사용할 수 있도록 프로그 램을 개발하였으며, 이 방법의 정확성을 증명하기 위하여 일정열유법과 동일한 실험장 치를 사용하되 경계조건이나 초기조건을 시간의 변화에 따라 이산적으로 측정하여, 매 개변수인 열확산계수를 온도의 함수로 찾고자 하였으며, 통계적인 개념보다는 역산적 인 면에 더 치중하였다. The method of nonlinear parameter estimation(NPE), which is a statistical and an inverse method, is used to estimate the thermal diffusivity of the porous insulation material. In order to apply the NPE method for measuring the thermal diffusivity, and algorithm for programing suitable to IBM personal computer is established, and is studied the statistical treatment of experimental data and theory of estimation. The experimental data obtained by discrete measurement using a constant heat flux technique are used to find the boundary conditions, initial conditions, and the thermal diffusivity, and then the final values are compared with the values obtained by some different methods. The results are presented as follows:(1) NPE method is used to establish the estimation of the thermal diffusivity and compared results with experimental output shows, that this method can be applicable to define the thermal diffusivity without considering hear flux types. (2) Because of all of the temperatures obtained by the discrete measurement on each steps of time are used to estimate the thermal diffusivity. Although some error in the temperature measurements of temperature are included in estimating process, its influences on the final value are minimzed in NPE method. (3) NPE method can reduce the experimental time including the time of data collecting in a few minutes and can take smaller specimen compared with steady state method. If the tube-type furnace is used, also the adjusting time of surrounding temperature can be reduced.
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임동주 한국기계기술학회 2007 한국기계기술학회지 Vol.9 No.3
By Multiple-measurement method using Inverse Heat Conduction Method and parameter estimation method, thermo physical properties were measured, and its estimation accuracies were compared with other reference data. Values of the thermophysical properties determined from the measurement method are in the range of data reported in the literature. From the above, it should be pointed out that the inverse algorithm and multiple measurement method is particularly simple to code and can be run on the personal computer used for the data acquisition. Especially, the inverse algorithm for a heat flux determination can be practically used in every case where the surface measurement are not accessible and where it is impossible to correctly place some sensors with the body. It is found that the measurement method is more practical, convenient and time-saving than other steady-state methods.
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