Preliminaries in numerical simulation of isotope separation open-loop processes

Abstract

In this paper is presented an open loop system represented by an isotope separation process. The plant is represented by a distributed parameter process which is numerically simulated with method of Matrix of Partial Derivatives of the State Vector Mpdx with approximate solutions and associated with Taylor Series. To check the results and to start the calculations the approximating solutions are required.Index Terms-Isotope separation, partial differential equations (PDE), state vector, approximating solutions.978-1-4799-7650-8/15/$31.00 ©2015 IEEE

Preliminaries in numerical simulation of isotope separation closed-loop processes

“…The ODE1 element [7][8][9][10][12][13][14] is represented by a PID controller modeled by the following ordinary differential equations: The separation column represented in the picture is presented in [1].…”

“…[1][2][3][4] The presence of stable isotopes ܰ ଵହ , ܱ ଵ଼ , ‫ܤ‬ ଵ , ‫ܥ‬ ଵଷ in various applications in different fields such as nuclear energy, medicine, biology, chemistry, agronomy, biochemistry indicates that innovation is almost impossible without them. The isotopic separation process represents the process of increasing the concentration of an isotope in a given environment.…”

AI versus Classic Methods in Modelling Isotopic Separation Processes: Efficiency Comparison

“…These types of models are not complex enough (they do not cover the entire range of the variation domains of the input and output signals that occur in the separation plant operation) for obtaining high-control performances in the case when they are included in automatic control systems. In references [36,52], a modelling-simulation method for distributed parameter processes is presented (the Matrix of Partial Derivatives of the State Vector method, associated with Taylor series), considering as case study separation processes. This method generates high accuracy but implies consistent processing resources.…”