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Fluid Power Controls Laboratory (Copyright – Perry Li, 2004-2015)
M..E., University of Minnesota (updated 12.2013)
Systems review exercise
• To be posted this weekend
• Due next Friday (3/6)
Coming week:
• Lab 13: Hydraulic Power Steering
• Lab 14: Integrated Lab (Hydraulic test bench)
Topics today:
• Pumps and motors
• (Hydraulic Hybrids)
Lecture 6
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Fluid Power Controls Laboratory (Copyright – Perry Li, 2004-2015)
M..E., University of Minnesota (updated 12.2013)
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Pumps
• Source of hydraulic power
• Converts mechanical energy to hydraulic energy
• prime movers - engines, electrical motors, manual power
• Two main types:
• positive displacement pumps
• non-positive displacement pumps
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Fluid Power Controls Laboratory (Copyright – Perry Li, 2004-2015)
M..E., University of Minnesota (updated 12.2013)
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Pump - Introduction
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Fluid Power Controls Laboratory (Copyright – Perry Li, 2004-2015)
M..E., University of Minnesota (updated 12.2013)
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Positive displacement pumps
• Displacement is the volume of fluid displaced cycle of pump motion
• unit = cc or in3
• Positive displacement pumps displace (nearly) a fixed amount of fluid per cycle of pump motion, (more of less) independent of pressure
• leak can decrease the actual volume displaced as pressure increases
• Therefore, flow rate Q gpm = D (gallons) * frequency (rpm)
• E.g. pump displacement = 0.1 litre
• Q = 10 lpm if pump speed is 100 rpm
• Q = 20 lpm if pump speed is 200 rpm
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Fluid Power Controls Laboratory (Copyright – Perry Li, 2004-2015)
M..E., University of Minnesota (updated 12.2013)
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Non positive displacement pumps
Impeller PumpCentrifugal Pump
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Fluid Power Controls Laboratory (Copyright – Perry Li, 2004-2015)
M..E., University of Minnesota (updated 12.2013)
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Non-positive displacement pump
• Flow does not depend on kinematics only - pressure important
• Also called hydro-dynamic pump (pressure dependent)
• Smooth flow
• Examples: centrifugal (impeller) pump, axial (propeller) pump
• Does not have positive internal seal against leakage
• If outlet blocks, Q = 0 while shaft can still turn
• Volumetric efficiency = actual flow / flow estimated from shaft speed
= 0%
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Fluid Power Controls Laboratory (Copyright – Perry Li, 2004-2015)
M..E., University of Minnesota (updated 12.2013)
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Positive vs. non-positive displacement pumps
• Positive displacement pumps
• most hydraulic pumps are positive displacement
• high pressure (10,000psi+)
• high volumetric efficiency (leakage is small)
• large ranges of pressure and speed available
• can be stalled !
• Non-positive displacement pumps
• many pneumatic pumps are non-positive displacement
• used for transporting fluid rather than transmitting power
• low pressure (<300psi), high volume flow
• blood pump (less mechanical damage to cells)
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Fluid Power Controls Laboratory (Copyright – Perry Li, 2004-2015)
M..E., University of Minnesota (updated 12.2013)
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Types of positive displacement pumps
• Gear pump (fixed displacement)
• internal gear (gerotor)
• external gear
• Vane pump
• fixed or variable displacement
• pressure compensated
• Piston pump
• axial design
• radial design
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Fluid Power Controls Laboratory (Copyright – Perry Li, 2004-2015)
M..E., University of Minnesota (updated 12.2013)
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External gear pump
• Driving gear and driven gear
• Inlet fluid flow is trapped between the rotating gear teeth and the housing
• The fluid is carried around the outside of the gears to the outlet side of the pump
• As the fluid can not seep back along the path it came nor between the engaged gear teeth (they create a seal,) it must exit the outlet port.
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Fluid Power Controls Laboratory (Copyright – Perry Li, 2004-2015)
M..E., University of Minnesota (updated 12.2013)
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Gerotor pump
• Inner gerotor is slightly offset from external gear• Gerotor has 1 fewer teeth than outer gear
• Gerotor rotates slightly faster than outer gear• Displacement = (roughly) volume of missing tooth
• Pockets increase and decrease in volume corresponding to filling and pumping
• Lower pressure application: < 2000psi• Displacements (determined by length): 0.1 in3 to 11.5 in3
Inlet portOutlet port
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Fluid Power Controls Laboratory (Copyright – Perry Li, 2004-2015)
M..E., University of Minnesota (updated 12.2013)
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Vane Pump
• Vanes are in slots
• As rotor rotates, vanes are pushed out, touching cam ring
• Vane pushes fluid from one end to another
• Eccentricity of rotor from center of cam ring determines displacement
• Quiet
• Less than 4000psi
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Fluid Power Controls Laboratory (Copyright – Perry Li, 2004-2015)
M..E., University of Minnesota (updated 12.2013)
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Pressure Compensated Vane Pump
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Fluid Power Controls Laboratory (Copyright – Perry Li, 2004-2015)
M..E., University of Minnesota (updated 12.2013)
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PC Vane Pump (Cont’d)
• Eccentricity (hence displacement) is varied by shifting the cam ring
• Cam ring is spring loaded against pump outlet pressure
• As pressure increases, eccentricity decreases, reducing flow rate
• Spring constants determines how the P-Q curve drops:
• small stiffness (sharp decrease in Q as P increases)
• large stiffness (gentle decreases in Q as P increases)
• Preload on spring determines
• pressure at which flow starts cutting off
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Fluid Power Controls Laboratory (Copyright – Perry Li, 2004-2015)
M..E., University of Minnesota (updated 12.2013)
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Axial Piston Pump• Each piston has a pumping cycle
• Interlacing pumping cycles produce nearly uniform flow (with some ripples)
• Displacement is determined by the swash plate angle
• Generally can be altered manually or via (electro-) hydraulic actuator.
Displacement can be varied by varying swashplate angle
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Fluid Power Controls Laboratory (Copyright – Perry Li, 2004-2015)
M..E., University of Minnesota (updated 12.2013)
Bent-Axis Piston Pump• Thrust-plate rotates with shaft
• Piston-rods connected to swash plate
• Piston barrel rotates and is connected to thrust plate via a U-joint
• More efficient than axial piston pump
(less friction)
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Fluid Power Controls Laboratory (Copyright – Perry Li, 2004-2015)
M..E., University of Minnesota (updated 12.2013)
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Radial Piston Pump
• Similar to axial piston pump, pistons move in and out as pump rotates.
• Displacement is determined by cam profile (i.e. eccentricity)
• Displacement variation can be achieved by moving the cam (possible, but not common though)
• High pressure capable, and efficient
• Pancake profile
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Fluid Power Controls Laboratory (Copyright – Perry Li, 2004-2015)
M..E., University of Minnesota (updated 12.2013)
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Piston Pump - flow ripples
• Each cylinder has a pumping cycle
• Total flow = flow of each cylinder
• More cylinders, less ripple
• Frequency:
Even # cylinders n*rpm
Odd # cylinders (2n)*rpm
• Can be problematic for manual operator (ergonomic issue)
• Noise
1 piston
Filling
Pumping
2 pistonTotal flow
• Displacement = # Cylinders x Stroke x Bore Area
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Fluid Power Controls Laboratory (Copyright – Perry Li, 2004-2015)
M..E., University of Minnesota (updated 12.2013)
# of Pistons Effect on Flow Ripples
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0 1 2 3 4 5 60
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
Angle - rad
Flo
w -
n=2
n=3
n=4
n=5
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Fluid Power Controls Laboratory (Copyright – Perry Li, 2004-2015)
M..E., University of Minnesota (updated 12.2013)
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Pumping theory
• Create a partial vacuum (i.e. reduced pressure)
• Atmospheric / tank pressure forces fluid into pump
• usually tank check valve opens
• outlet check valve closes
• Power stroke expels fluid to outlet
• outlet check valve opens
• tank check valve closes
• Power demand for prime mover (ideal calculation)
• (piston pump) Power = Force*velocity = Pressure*area*piston speed
= Pressure * Flow rate
• If power required > power available => Pumps stall or decrease speed
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Fluid Power Controls Laboratory (Copyright – Perry Li, 2004-2015)
M..E., University of Minnesota (updated 12.2013)
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Aeration and Cavitation
• Disastrous events - cause rapid erosion
• Aeration
• air bubbles enter pump at low pressure side
• bubbles expand in partial vacuum
• when fluid+air travel to high pressure side, bubbles collapse
• micro-jets are formed which cause rapid erosion
• Cavitation
• fluid evaporates (boils) in partial vacuum to form bubbles
• bubbles expands then collapse
• as bubbles collapse, micro-jets formed, causing rapid erosion
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Fluid Power Controls Laboratory (Copyright – Perry Li, 2004-2015)
M..E., University of Minnesota (updated 12.2013)
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Causes of cavitation and aeration
• For positive displacement pumps, the filling rate is determined by pump speed; (Q-demand) = D * freq)
• Filling pressure = tank pressure - inlet pressure
• Q-actual = f(filling pressure, viscosity, orifice size, dirt)
• If Q-actual < Q-demand, inlet pressure decreases significantly
• This causes air to enter (via leakage) or to evaporation (cavitates)
• To prevent cavitation/aeration
• increase tank pressure
• low viscosity, large orifice
• lower speed (hence lower Q-demand)
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Fluid Power Controls Laboratory (Copyright – Perry Li, 2004-2015)
M..E., University of Minnesota (updated 12.2013)
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Aeration and Cavitation
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Fluid Power Controls Laboratory (Copyright – Perry Li, 2004-2015)
M..E., University of Minnesota (updated 12.2013)
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Hydraulic Motor / Actuator
• Hydraulic motors / actuators are basically pumps run in reverse
• Input = hydraulic power
• Output = mechanical power
• For motor:
• Frequency (rpm) = Q (gallons per min) / D (gallons) * efficiency
• Torque (lb-in) = Pressure (psi) * D (inch^3) * efficiency
• efficiency about 90%
• Note: units
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Fluid Power Controls Laboratory (Copyright – Perry Li, 2004-2015)
M..E., University of Minnesota (updated 12.2013)
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Models for Pumps and Motors
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Fluid Power Controls Laboratory (Copyright – Perry Li, 2004-2015)
M..E., University of Minnesota (updated 12.2013)
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Non-ideal Pump/Motor Efficiencies• Ideal torque = torque required/generated for the ideal pump/motor• Ideal flow = flow generated/required for the ideal pump/motor• Torque loss (friction) • Flow loss (leakage)• Signs different for pumping and motoring mode
Qi deal
Qact ual
Ql oss
Ideal pump
leakage
Friction
Functions of speed, pressure and displacements
(Reverse if motor case !! )
Pump volumetric eff:
Pump mechanical eff:
Total efficiency:
Tin/out
Tideal vol
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Fluid Power Controls Laboratory (Copyright – Perry Li, 2004-2015)
M..E., University of Minnesota (updated 12.2013)
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Hydro-static Transmission
• A combination of a pump and a motor
• Either pump or motor can have variable displacement
• Replaces mechanical transmission
• By varying displacements of pump/motor, transmission ratio is changed
• Various topologies:
• single pump / multi-motors
• multi (pump-motor)
• Open / closed circuit
• Open / closed loop control
• Integrated package / split implementation
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Fluid Power Controls Laboratory (Copyright – Perry Li, 2004-2015)
M..E., University of Minnesota (updated 12.2013)
Hydrostatic Transmission
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Fluid Power Controls Laboratory (Copyright – Perry Li, 2004-2015)
M..E., University of Minnesota (updated 12.2013)
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General Consideration - Hydrostats
• Advantages:
• Wide range of operating speeds/torque
• Infinite gear ratios - continuous variable transmission (CVT)
• High power, low inertia (relative to mechanical transmission)
• Dynamic braking via relief valve
• Engine does not stall
• No interruption to power when shifting gear
• Disadvantage:
• Lower energy efficiency (85% versus 92%+ for mechanical transmission)
• Leaks !
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Fluid Power Controls Laboratory (Copyright – Perry Li, 2004-2015)
M..E., University of Minnesota (updated 12.2013)
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Closed Circuit Hydrostat Circuit
Notes:
• Charge pump circuit (pump + shuttle valve)
• Bi-directional relief
• Circuit above closed circuit because fluid re-circulates.
• Open circuit systems draw and return flow to a reservoir
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Fluid Power Controls Laboratory (Copyright – Perry Li, 2004-2015)
M..E., University of Minnesota (updated 12.2013)
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Hydrostatic Transmission
• Let pump and motor displacements be D1 and D2, with one or both being variable.
• Let the torque (Nm) and speeds (rad/s) of the pump and motor be (T1, S1) and (T2,S2)
• Assuming ideal pumps and motors:
Transmission ratioVariable by varying
D1 or D2
Infinite and negativeratios possibleif pump can
go over-center
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Fluid Power Controls Laboratory (Copyright – Perry Li, 2004-2015)
M..E., University of Minnesota (updated 12.2013)
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Hydraulic Transformer
• Used to change pressure in a power conservative way
• Pressure boost or buck is accompanied by proportionate flow decrease and increase
• Note: Hydrostatic transmission can be thought of as a mechanical transformer (torque boost/buck)
Q1 Q
2
D1D2 Research opportunity!
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Fluid Power Controls Laboratory (Copyright – Perry Li, 2004-2015)
M..E., University of Minnesota (updated 12.2013)
Hydraulic Hybrid Vehicles