"Reduced Order, Discrete-Time, Input-Output Modelling of Laminar Pipe Flow"
, in WSEAS, in IASME Transactions, Vol. 2, Nummer 6, Seite(n) 911-18, 8-2005, ISSN: 1790-031X
Reduced Order, Discrete-Time, Input-Output Modelling of Laminar Pipe Flow
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This paper presents a novel approach towards the input-output oriented modelling of hydraulic transmission
lines. If the Reynolds number is low enough to justify the assumption of laminar flow and if convective terms are
negligible, the governing equations are linear and a very compact description of the input-output behaviour of a transmission line exists in the frequency domain. For a coupled simulation of networks of transmission lines interacting with other, possibly nonlinear components such as valves, there are numerous approaches for the approximation of the transcendental transfer functions arising from the transmission line dynamics by finite dimensional models in the time domain. Discrete-time approaches such as the method of characteristics with a fixed grid are known to be very accurate but computationally ineffective due to the high number of state variables involved. The proposed method for the derivation of reduced order models offers a trade-off between the degree of accuracy and the system order. Important properties like the passivity of the transmission line model and the exact fulfillment of the Joukowsky relation are guaranteed.
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