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규정변수의 변화에 대한 다단분리공정의 연속적 계산을 위한 Arclength Continuation 방법의 이용

Use of Arclength Continuation Method for a Sequence of Solutions on Specification Changes in Stagewise Separation Processes

HWAHAK KONGHAK, February 1989, 27(1), 61-69(9), NONE
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Abstract

분리공정에서 규정변수(specified variable) 의 변화가 운전 및 설계에 미치는 영향을 효율적으로 계산하기 위한 목적으로 arclength continuation 방법을 기본으로 한 전산프로그램을 개발하였다. 이 방법은 흔히 사용되는 Newton-Raphson방법에 의한 분리공정 계산프로그램에 간단히 구성 가능하다. 환류비나 회수율과 같은 여러 변수의 함수형태로 표현되는 변수도 그 변화의 영향을 직접적으로 계산할 수 있도록 하였다. 계산효율을 향상시키기 위하여 적분간격 계산, Jacobi 행렬계산 및 처리 등에 중점을 두었다. 다중해를 갖는 문제도 효과적으로 다룰 수 있음을 예제를 통하여 확인하였다.
A computational procedure based on the arclength continuation method is designed for finding a se-quence of solutions on variations of specifications in stagewise separation processes. The arclength continuation method can be implemented simply with an existing code that solves the modelling equations by Newton-Raphson method. The procedure is capable of direct handling of functional form specifications as varying varying variables. In order to promote the computational efficiency, emphasises are given to generation and handling of Jacobian matrices and cal-culation of integration step-sizes. The applicability of the designed procedure to the problems with multiple solutions is shown on numerical examples.

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