공기로부터 산소를 분리하는 RPSA(Rapid Pressure Swing Adsorption) 공정의 최적 운전 전략을 수립하기 위하여 수학적 방법에 의거하여 최적화를 수행하였다. 이를 위한 전 단계로 RPSA 공정에 대한 동적 상태 및 주기적 정상 상태에 대한 상세 수학적 모델을 수립하고 동적 모사를 수행하였다. 동적 모사를 통하여 대상 공정의 동적 응답을 해석하고, 이에 따라 공정의 성능을 측정할 수 있는 성능 지수를 도입하였다. 수립된 수학적 모델과 공정의 운전 조건 등을 고려하여 목적 함수, 운전 및 설계의 구속 조건 등을 도입하였으며 이를 바탕으로 최적화 문제를 수립하였다. RPSA와 같은 주기적 공정은 연속 공정의 경우와 같은 정상 상태가 존재하지 않으므로 주기적 정상 상태를 구하고 이에 대하여 최적화를 수행하였다. 최적화 문제의 수치적 해를 구하기 위하여 control vector parameterisation 기법이 사용되었다. 최적 주기 시간 및 원료 가스의 압력을 구하였으며, 다른 운전 조건의 여러 경우와 비교하였다. 수학적 방법에 의한 최적화를 통하여 얻어진 결정 변수의 값이 주어진 구속 조건과 모델식을 만족시키며 목적 함수를 극대화시키는 것을 확인하였다.

Optimisation is carried out in order to build optimal strategy for operation of RPSA process separating oxygen from air. The rigorous mathematical model of the process is formulated and dynamic simulation is performed as a previous step of optimisation. In conjunction with the measurement of operational performance, performance indices are introduced based on the analysis of the dynamic response of the system. Considering design and operation issues, objective function and constraints are identified and their mathematical statements are described. Intrinsic behaviour of RPSA process shows cyclic steady state, in which conditions at the end of each cycle are identical to those at its start in both gas and solid phase. This is the state in which we are interested and optimisation is carried out for this state. Control vector parameterisation method is employed as a solution method for the given problem at cyclic steady state. From optimisation, optimal cycle time and feed pressure are obtained and the results are compared with those from other operating conditions. On the basis of the numerical experiment, it is concluded the optimal values of decision variables obtained from optimisation maximise the objective function in the connection with given constraints.

Optimisation RPSA Optimal Cycle Time Cyclic Steady State CVP

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