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# variabledisplacementpump-leakage

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# variabledisplacementpump-leakage

## Library

Iconic Diagrams\Hydraulics\Pumps

## Use

Domains: Continuous. Size: 1-D. Kind: Iconic Diagrams (Hydraulics).

## Description

This model describes a pump with internal and external leakage and a displacement that is proportional to the speed of the input axis:

i = D * c / (2*pi);

pa.phi = pb.phi = i * p_rot.omega;

The actual flows at the inlet and outlet port may be slightly different because of the flow into the lumped volumes and the leakage flows. The leakage flows are modeled by laminar resistances. The torque of the pump is equal to:

p.T = i*(pa.p - pb.p);

The displacement is controllable by the input signal c. For a positive rotation of the driving axis the flow is:

 c >= 1 c = 0 c <= -1 maximum flow from port 1 to port 2 zero flow maximum flow from port 2 to port 1

If the port pressure is smaller than the vapour pressure (p < p_vapour), the flow is zero. If the port pressure becomes larger than the vapour pressure the flow gradually grows to its normal value, until the atmospheric pressure (p = 0) is reached.

## Interface

 Ports Description pa pb p_rot inlet port (hydraulic) outlet port (hydraulic) axis (rotation) Causality preferred pressure out pa preferred pressure out pa preferred angular velocity out p_rot Input c relative displacement
 Parameters D J d_m Displacement per revolution [m3] Rotational inertia [kg.m2] Viscous (rotational) friction [N.m.s/rad] p_static Start pressure, acts as Coulomb friction, set to 2% of max pressure if unknown [Pa] G_int Internal laminar leakage conductance, set to 1e-13 if unknown [m3/s.Pa] V Dead volume of the pump at each port [m3]