A Stable Analysis Method of Block Diagram Using Automatic Partial Derivative Computation Algorithm.

概要

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For stable and efficient transient analysis of complicated block diagram used in process simulation, quasi state variable method is newly proposed. For stiff system appeared in many fields, implicit formula is known to be robust for stabilizing the transient analysis. One of the problems occurred in using implicit formula is to solve simultaneous equations at each time step. The state variable model can produce the smallest computation model but it is difficult to develop state variable equation analytically from nonlinear block diagram.The proposed method generates numerically the computation model equivalent to that derived from state variable model by applying an automatic partial derivatives computing algorithm to block diagram of a kind of directed graph. The proposed method has several advantages. (1) The model of small dimension permits the efficient analysis. (2) The computation model for nonlinear block diagram can be generated by regular procedure. (3) The proposed method can be applied to steady state analysis.Simulations for steam in super heater of boiler show that the quasi state variable method is effective for realizing stable and efficient analysis of stiff systems.
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