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공정시스템 , 이동현상 , 화학공정안전 : 중간 저장조 운영방안을 고려한 비순차 다목적 회분식 공정의 최적조업순서 결정
김상범(Sang Beom Kim),이호경(Ho Kyung Lee),이인범(In Beum Lee),이의수(Euy Soo Lee) 한국화학공학회 2001 Korean Chemical Engineering Research(HWAHAK KONGHA Vol.39 No.1
In this paper, we present mathematical models for optimal scheduling of non-sequential multipurpose batch processes under various intermediate storage policies. Compared with multiproduct processes, in non-sequential multipurpose batch processes, the production routes of products may be different from one another and may be backward direction. Consequently, in order to reduce idle time of units and to raise the efficiency of process, we have to make operation sequences of products in each unit differently by considering processing route of each product with a given intermediate storage policy. The basic concept of our approach for these problems is as follows. Firstly, we represented the staging and finishing time of a task in each unit with two coordinates for a given storage policy. One is based on products, and the other is based on sequences. Then, we matched the variables used in the two coordinates into one with binary variables and logical constraints. We formulated these problems as MILP(Mixed Integer Linear Programming) models and apply them to three examples to show the effectiveness of the model.
이서영 ( Suh-young Lee ),하진국 ( Jin-kuk Ha ),이인범 ( In-beum Lee ),이의수 ( Euy Soo Lee ) 한국화학공학회 2020 Korean Chemical Engineering Research(HWAHAK KONGHA Vol.58 No.4
In this study, a mathematical model for optimal operation of the fusion fuel cycle is developed based on scheduling approach. The fusion fuel cycle consists of a system for storing and supplying deuterium and tritium, and receiving and separating process after the fusion reaction. Except that tritium is a radioactive material, most of these processes consist of catalytic reactions and separation process. For these reasons, it is possible to apply scheduling approach which is also widely utilized to chemical plants to derive the optimal operating scenarios. The developed model determined the optimal regeneration cycle to minimize the amount of tritium inside the vacuum pumps. Based on the characteristics of various device in the fusion reactor, the optimal tritium plant operation scenario is evaluated. The formulated model was applied to the actual tokamak scenario and utilized to analyze the fuel flow and balance of ITER fuel cycle.
다품종 생산용 회분식 공장의 예비 설계를 위한 최적 합성
이호경,정재학,문일,이인범 ( Ho Kyung Lee,Jae Hak Jung,Il Moon,In Beum Lee ) 한국화학공학회 1995 Korean Chemical Engineering Research(HWAHAK KONGHA Vol.33 No.1
In case of adding new equipments in parallel in the process synthesis problems, there are two operating modes to use the equipments. One is in sequence(out of phase) mode and the other is in phase mode. But, in the papers published so far, only in sequence mode has been considered in synthesis problems for the preliminary design of batch processes. In this paper, using a MINLP, heuristics and a NLP, we deal with the problems where in phase mode is also considered. The effectiveness of this method is verified by solving four literature problems.
공정시스템 이동현상 화학공정안전 : 다지역 회분식 공장의 최적 개조 설계
이호경(Ho Kyung Lee),유동준(Dong Joon Yoo),이인범(In Beum Lee) 한국화학공학회 1999 Korean Chemical Engineering Research(HWAHAK KONGHA Vol.37 No.6
In this paper, we present a model of an optimal retrofitting design for multisite batch plants in case there are new warehouses to supply and increase of demands at existing warehouses. In the optimal retrofitting design problem, an objective function is defined as a net profit in a chemical company-total expected selling price minus the cost of new equipments and the expected shipping cost. We determine a revised plant configuration, sizes and operating modes of newly added equipments, new shipments from plant to warehouse and batch processing variables. A mixed integer nonlinear programming(MINLP) formulation is proposed. The effectiveness of its application is illustrated with two examples. The examples are solved with GAMS/DICOPT+++.
장치비용과 에너지 회수비용을 함께 고려힌 다품종 회분식 공정의 최적 설계 및 생산계획
조익상,이범석,이인범,이의수 ( Iksang Cho,Bomsock Lee,In Beum Lee,Euy Soo Lee ) 한국화학공학회 1998 Korean Chemical Engineering Research(HWAHAK KONGHA Vol.36 No.4
Differently from continuous processes, the processing schedule of batch processes should be modified for heat exchange between batch streams. In most batch processes in which ZW policy is adopted, the heat integration causes the increased production cycle time that require the bigger batch equipments sizes. Process design engineers usually finish the initial batch process design neglecting the possibilities of heat integration due to the increased equipment costs in that case. In this study, the schedule of multi-product processes, the required equipments sizes and the heat exchange between batch streams are mathematically formulated in a mixed integer nonlinear programming. A solution of this formulation can be readily obtained with a commercial MINLP solver. Numerical examples are presented to illustrate the possibilities of heat exchange in a multi-product batch process.
직렬구조의 회분식 공정에서 저장시간제약을 고려한 다품종생산 공정운용 모델개발
하진국,이범석,이인범,이의수 ( Jin Kuk Ha,Bom Sock Lee,In Beum Lee,Euy Soo Lee ) 한국화학공학회 1998 Korean Chemical Engineering Research(HWAHAK KONGHA Vol.36 No.5
The scheduling literature dealing with serial multiproduct systems has focussed on the determination of completion times for the various types of the intermediate storage policies such as UIS, FIS, NIS and ZW. In practical applications, time limitations will exist while storing the intermediate products in the storage vessel due to the time dependent changes of the chemical and physical properites. This paper presents an completion time calculation model for serial multiproduct batch process with storage time constraints. A set of recurrence relations for serial multiproduct processes in ZW and NIS policy is suggested. These results are used to describe an completion time algorithm for the case where NIS and ZW mode is used between pair of processing stages. Finally, these models were extended to treat the more usual case involving both policies in systems. The effectiveness of the proposed model is illustrated with a example.
불확실한 운영비용과 탄소세를 고려한 CCS 기반시설의 전략적 계획
한지훈 ( Jee Hoon Han ),이인범 ( In Beum Lee ) 한국화학공학회 2012 Korean Chemical Engineering Research(HWAHAK KONGHA Vol.50 No.3
A carbon capture and storage (CCS) plays a very important role to reduce CO2 dramatically in CO2 emission sources which are distributed throughout various areas. Numerous research works have been undertaken to analyze the techno-economic feasibility of planning the CCS infrastructure. However, uncertainties such as CO2 emissions, CO2 reduction costs, and carbon taxes may exist in various impact factors of the CCS infrastructure. However, few research works have adopted these uncertainties in designing the CCS infrastructure. In this study, a two-stage stochastic programming model is developed for planning the CCS infrastructure under uncertain operating costs and carbon taxes. It can help determine where and how much CO2 to capture, store or transport for the purpose of minimizing the total annual CO2 reduction cost in handling the uncertainties while meeting the CO2 mitigation target. The capability of the proposed model to provide correct decisions despite changing the operating costs and carbon taxes is tested by applying it to a real case study based on Korea. The results will help to determine planning of a CCS infrastructure under uncertain environments.
수소 생산을 위한 Sulfur-Iodine Cycle 분젠반응의 Pilot-Scale 공정 모델 개발 및 공정 최적화
박준규,남기전,허성구,이종규,이인범,유창규,Park, Junkyu,Nam, KiJeon,Heo, SungKu,Lee, Jonggyu,Lee, In-Beum,Yoo, ChangKyoo 한국화학공학회 2020 Korean Chemical Engineering Research(HWAHAK KONGHA Vol.58 No.2
Sulfur-Iodine cycle (SI cycle)은 요오드와 황을 첨가하여 최종적으로 물을 열화학적으로 분해하여 산소와 수소를 생산하는 공정으로 황산분해, 요오드화 수소 분해, 분젠반응 등 세가지 반응들로 이루어져 있다. 분젠 반응은 두가지 공정 중간에 존재하므로 두 반응에 필요한 화학물을 조달하는 역할로 이에 대한 상분리 및 반응기에 대한 분석이 중요하다. 본 연구에서는 50 L/hr 수소를 생산하는 pilot scale의 Sulfur-Iodine Cycle 중 분젠 공정에 대한 모사, 민감도 분석, 민감도 분석을 토대로한 각각 상분리기와 분젠 반응기에 대한 최적 조건을 제시하였다. 열역학 물성치의 계산을 위해 Electrolyte Non-Random Two Liquid (ELECNRTL) model 사용하였다. 모델에 대한 신뢰도 확보를 위해서 실제 pilot scale의 공정 데이터와 검증을 수행하였다. 반응기의 종류를 선정하기 위해 Continuous Stirred Tank Reactor (CSTR)과 Plug Flow Reactor (PFR) 동일한 온도 및 부피 변화에서 SO<sub>2</sub> 전환율을 비교하였다. 상분리기 선정을 위해 3상 분리 시스템(기체-액체-액체)과 액체-기체 분리 후 액체-액체 구조에서 H<sub>2</sub>SO<sub>4</sub> 상과 HI<sub>X</sub> 상에서의 불순물들을 비교하였다. PFR에서 온도, 지름, 길이를 결정 변수로 SO<sub>2</sub> 전환율을 최대화 하기 위한 최적화를 수행하였는데, 온도 121 ℃와 PFR의 지름이 0.20 m 및 길이 7.6 m 일 때 SO<sub>2</sub> 전환율이 98% 최적 결과임을 확인하였다. 기존 pilot scale과 동일한 운전 조건 하에 PFR의 지름 3/8 inch, 길이 3.0 m, 120 ℃ 일 때 인입 몰량인 I<sub>2</sub> 및 H<sub>2</sub>O를 결정 변수로 SO<sub>2</sub> 전환율에 대한 최적화를 수행하였을 때, SO<sub>2</sub> 전환율이 10% 일때 H<sub>2</sub>O 및 I<sub>2</sub> 의 인입 몰량은 각각 17%와 22%로 감소하였다. 앞선 조업 조건 최적화 조건 (121 ℃, 지름 0.20 m, 길이: 7.6 m) 경우에는 SO<sub>2</sub> 전환율이 98% 일 때 H<sub>2</sub>O가 1% 그리고 I<sub>2</sub>가 7% 감소하였다. 상분리기에서 HI<sub>X</sub> 상내 H<sub>2</sub>SO<sub>4</sub> 최소화하는 목적함수에서 그에 상응하는 온도, I<sub>2</sub>와 H<sub>2</sub>O를 결정 변수로 설정하였을 때, H<sub>2</sub>O 몰량이 기존공정보다 17% 감소하고 I<sub>2</sub> 몰량이 24% 감소하였을 때 최소 불순물이 생성하였다. Simulation study and validation on 50 L/hr pilot-scale Bunsen process was carried out in order to investigate thermodynamics parameters, suitable reactor type, separator configuration, and the optimal conditions of reactors and separation. Sulfur-Iodine is thermochemical process using iodine and sulfur compounds for producing hydrogen from decomposition of water as net reaction. Understanding in phase separation and reaction of Bunsen Process is crucial since Bunsen Process acts as an intermediate process among three reactions. Electrolyte Non-Random Two-Liquid model is implemented in simulation as thermodynamic model. The simulation results are validated with the thermodynamic parameters and the 50 L/hr pilot-scale experimental data. The SO<sub>2</sub> conversions of PFR and CSTR were compared as varying the temperature and reactor volume in order to investigate suitable type of reactor. Impurities in H<sub>2</sub>SO<sub>4</sub> phase and HI<sub>X</sub> phase were investigated for 3-phase separator (vapor-liquid-liquid) and two 2-phase separators (vapor-liquid & liquid-liquid) in order to select separation configuration with better performance. The process optimization on reactor and phase separator is carried out to find the operating conditions and feed conditions that can reach the maximum SO<sub>2</sub> conversion and the minimum H<sub>2</sub>SO<sub>4</sub> impurities in HI<sub>X</sub> phase. For reactor optimization, the maximum 98% SO<sub>2</sub> conversion was obtained with fixed iodine and water inlet flow rate when the diameter and length of PFR reactor are 0.20 m and 7.6m. Inlet water and iodine flow rate is reduced by 17% and 22% to reach the maximum 10% SO<sub>2</sub> conversion with fixed temperature and PFR size (diameter: 3/8", length:3 m). When temperature (121℃) and PFR size (diameter: 0.2, length:7.6 m) are applied to the feed composition optimization, inlet water and iodine flow rate is reduced by 17% and 22% to reach the maximum 10% SO<sub>2</sub> conversion.