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Model order reduction theory is applied to the optimized finite element model of pipeline dynamics. Depending on the number of elements to be used for the model, the order of the model can be very high. A technique to reduce the order of the finite element model is investigated while the reduced-order model still holds similar accuracy. Balanced realization of the optimized finite element model and state elimination based on Hankel singular value are applied as the order reduction technique. As the result of the order reduction, the number of order has been much decreased. The reduced-order model produces such simulation results that show a good agreement with experiments. With the reduced-order finite element model, the real-time simulation is able to be carried out.

A Study on Order Reduction of Optimized Finite Element Model of Pipeline Dynamics