TRANSIM - Transfer Function Simulation

This is based on the example of Matko, Korba and Zupancic (1), who describe methods of simulating process transform functions, based on partitioned and nested forms of solution. Here the process transfer function is given by 

The partitioned method of solution as described in Sec. 2.1.4 is used as the basis of solution. 

Note that the above formulation avoids the need to know the rate of change of the forcing disturbance, U. Defining the variables Y, W i and W2 as deviations from an initial steady state, the original transfer function can now be expressed as 

An example of the use of an ISIM sub-model representing a complex pole transfer function is also given in the ISIM manual (obtainable separately). 

Note that the derivative term in the expression for W2 can be programmed directly into the ISIM program as a variable. 

5 Simulation Tools and Examples of Chemical Engineering Processes 

Defining the variables Y, Wi and W2 as deviations from an initial steady state, the original transfer function can now be expressed as 

Vary the numerical parameters of the transform and study the resulting response characteristics. 

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Simulation example TRANSIM is based on the solution of a complex transfer function. 

Dynamic problems expressed in transfer function form are often very easily reformulated back into sets of differential equation and associated time delay functions. An example of this is shown in the simulation example TRANSIM. 

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