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In the previous paper, the authors proposed a new simulation technique called the “system modal approximation” method (SMA method for short) for fluid transients in compound pipeline systems, which was able to predict fast and accurately, and verified superiority of this technique to other existing methods. There, however, detailed considerations were limited to the case whose transfer functions of output/input were of the form of pressure/pressure and flow-rate/flow-rate. This paper enhances the analytical functions of the SMA method so as to be widely applicable to compound pipeline systems with various kinds of boundary conditions. Specifically, the calculation methods of time response of the wanted output variables at any points are newly proposed for the case (i) whose transfer functions of output/input are of the form of pressure/flow-rate and flow-rate/pressure, and (ii) whose boundary conditions are given by the relation between pressure and flow-rate. For fluid transients in three kinds of compound pipeline systems, simulation results based on the methods mentioned above are compared with both the solutions from the method of characteristics and experimental results, and then the usefulness of the generalized SMA method is verified.

nihon furudo pawa shisutemu gakkai rombunshuu

Development of a Practical and High Accuracy Simulation Technique based on Numerical Modal Approximation for Fluid Transients in Compound Pipeline Systems. 2nd Report, Development of Generalized SMA Method Applicable to Various Boundary Conditions.