Fluid Transmission Line Modeling Using a Variational Method

Mäkinen, Jari; Piché, Robert; Ellman, Asko

doi:10.1115/1.482449

Cited by 46 publications

(21 citation statements)

References 14 publications

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“…τ aero is the aerodynamic torque which depends nonlinearly on the rotor/pump shaft speed ω r , the rotor effective wind speed V , and the blade pitch angle β. τ p is the pump torque described by 3) represents the dynamics of the 10-m high pressure hydraulic line (assuming the low pressure line has constant pressure), with the flow rates of the pump and motor (Q p and Q m ) as the inputs and the pressure differences across the pump and motor (P p and P m ) as the outputs [5], [10]. Q p and Q m are given by…”

Section: Transformation Of the Nrel 5-mw Baseline Monopile Wind Tmentioning

confidence: 99%

Power Generation Control of a Monopile Hydrostatic Wind Turbine Using an <inline-formula> <tex-math notation="LaTeX">$\mathcal{H}_{\infty}$ </tex-math> </inline-formula> Loop-Shaping Torque Controller and an LPV Pitch Controller

Tong

Zhao

2018

IEEE Trans. Contr. Syst. Technol.

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Section: Transformation Of the Nrel 5-mw Baseline Monopile Wind Tmentioning

confidence: 99%

Power Generation Control of a Monopile Hydrostatic Wind Turbine Using an <inline-formula> <tex-math notation="LaTeX">$\mathcal{H}_{\infty}$ </tex-math> </inline-formula> Loop-Shaping Torque Controller and an LPV Pitch Controller

Tong

Zhao

2018

IEEE Trans. Contr. Syst. Technol.

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“…Davis (1986a, 1986b) derived a model relating fluid pressure p and discharge Q at the two pipe ends. Makinen et al (2000) presented a similar rational transfer function model for the dynamic simulation of fluid pipelines. Matko et al (2000) derived a nonlinear model in which the pipeline was represented by two transcendental transfer functions relating the flow variables at the inlet end to those at the outlet end.…”

Section: Introductionmentioning

confidence: 99%

Modelling of periodic flows in pipelines by transfer function method

Reddy

Chaudhry

Mohapatra

2010

Journal of Hydraulic Research

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The transfer function method is presented to model periodic flows in water pipelines. Laplace transforms are used to transform the governing equations for transient flows and then converted into the time domain by applying the convolution theorem. The accuracy and computational efficiency of the proposed method are evaluated by comparing the computed results with those obtained by the method of characteristics for series piping systems with different pipe diameters, lengths and wave speeds and also changing the amplitude and frequencies of the periodic oscillation. One branching piping system is also considered. The effect of the variation of computational time intervals is investigated by analysing a series piping system. The present results compare satisfactorily with those obtained by the method of characteristics for periodic flows. The proposed method may be used for online applications, such as for operation and control, state estimation and for leak or blockage detection in water pipelines.

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“…(3) was 0.00188. The Reynolds number of the flow based on line diameter was predicted to be 3.66x10 5 . Similar results were obtained using the time-accurate implicit Simulink ® solvers ode15s and ode23s.…”

Section: A Transient Viscous Nitrogen Pipe System Flowmentioning

confidence: 99%

Quasi-2D Unsteady Flow Procedure for Real Fluids (PREPRINT)

Campbell¹,

Davis²

2006

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Public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing this collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden to Department of Defense, Washington Headquarters Services, Directorate for Information SPONSORING / MONITORING AGENCY NAME(S) AND ADDRESS(ES) 10. SPONSOR/MONITOR'S ACRONYM(S)Air Force ABSTRACTThe numerical solution techniques, including explicit, point-implicit, and fully implicit schemes, used in a new quasi two-dimensional procedure for the transient solution of real fluid flows in system lines and volumes are presented. The procedure is coupled with a real-fluid properties database so that both compressible and incompressible fluids may be considered using the same code. The procedure has been implemented n Matlab/Simulink® as well as Fortran95 to allow for application on a wide variety of computer platforms. The computational efficiency of the various numerical methods is discussed to aid in selection for specific applications. Results for the transient flows of gaseous nitrogen and water in a simple pipe network are presented to demonstrate the capability of the current techniques and the unsteady flow physics that can occur in system lines.

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Fluid Transmission Line Modeling Using a Variational Method

Cited by 46 publications

References 14 publications

Power Generation Control of a Monopile Hydrostatic Wind Turbine Using an <inline-formula> <tex-math notation="LaTeX">$\mathcal{H}_{\infty}$ </tex-math> </inline-formula> Loop-Shaping Torque Controller and an LPV Pitch Controller

Power Generation Control of a Monopile Hydrostatic Wind Turbine Using an <inline-formula> <tex-math notation="LaTeX">$\mathcal{H}_{\infty}$ </tex-math> </inline-formula> Loop-Shaping Torque Controller and an LPV Pitch Controller

Modelling of periodic flows in pipelines by transfer function method

Quasi-2D Unsteady Flow Procedure for Real Fluids (PREPRINT)

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