water power fdr presentation
TRANSCRIPT
Nicholas ClementsKellen GriffithsPhilip G. HoskinsonChristopher Roots
Hydroelectric Generator
05/01/2023 1
Our Goal
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Harness wasted energy from city water lines without interrupting the
consumer’s service
Key Requirements• Reduce incoming pressure by 50
psi• Generate usable electricity
whenever water is running• Operate without the need for
regular maintenance
Assumptions and Constraints• End user is a homeowner• Water is currently pressure
regulated• End user has basic plumbing
knowledge
Design Specifications
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Housing Designs
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Scroll Housing
Standard Housing
First Iteration• Tested two housing designs; standard
and scroll • Used data from the more consistent
design to perform dimensional analysis and scaling
• Turbine scaling was done with the hopes of achieving a 50 psi drop across the turbineSecond Iteration
• Tested both housing designs with scaled (smaller) turbine
• Implemented jewel bearings for enclosed system
Housing Test Data
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Speed Force Torque PowerRPM Rad/s Grams lbs ft-lb Nm HP Watts777 81.37 0 0 0 0 0 0775 81.16 21 0.046 0.026 0.035 0.0038 2.807739 77.39 32 0.070 0.039 0.053 0.0055 4.078704 73.72 38 0.084 0.046 0.063 0.0062 4.613635 66.50 48 0.106 0.058 0.079 0.0070 5.256586 61.37 55 0.121 0.067 0.091 0.0075 5.558263 27.54 73 0.161 0.089 0.120 0.0044 3.311388 40.63 63 0.139 0.077 0.104 0.0057 4.215
200 300 400 500 600 700 800 9000
1
2
3
4
5
6R² = 0.653261671734589
RPM
Shaft
Pow
er (W
)
Speed Force Torque PowerRPM Rad/s Grams lbs ft-lb Nm HP Watts650 68 0 0 0 0 0 0
410 43 14 0.031 0.0170 0.0231 0.001327 0.99
340 36 19 0.042 0.0231 0.0313 0.001494 1.11
290 30 16 0.035 0.0194 0.0263 0.001073 0.80
285 30 27 0.059 0.0328 0.0445 0.00178 1.33
150 16 33 0.073 0.0401 0.0543 0.001145 0.85
75 8 37 0.081 0.0449 0.0609 0.000642 0.48
0 100 200 300 400 500 600 7000
0.2
0.4
0.6
0.8
1
1.2
1.4
R² = 0.8751552537675
RPM
Shaft
Pow
er (W
)
Standard Scroll
Turbine Analysis
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Diameter (in) RPM Turbine Head (PSI) Theoretical Power (W)0.5 605040.6 42983.6 823851.91.0 75630.1 2686.5 51490.71.5 22408.9 530.7 10171.02.0 9453.8 167.9 3218.22.5 4840.3 68.8 1318.23.0 2801.1 33.2 635.73.5 1764.0 17.9 343.14.0 1181.7 10.5 201.14.5 830.0 6.6 125.65.0 605.0 4.3 82.45.5 454.6 2.9 56.36.0 350.1 2.1 39.76.5 275.4 1.5 28.87.0 220.5 1.1 21.47.5 179.3 0.8 16.38.0 147.7 0.7 12.68.5 123.2 0.5 9.99.0 103.7 0.4 7.89.5 88.2 0.3 6.3
10.0 75.6 0.3 5.1
Base Point Data4.6 777 6 115
*Note: data taken at 5 gpm
Q2
Q1
N2
N1
D2
D1
3
H2
H1
N2
N1
2D2
D1
2
BHP2
BHP1
2
1
N2
N1
3D2
D1
5
Used to find RPM
Used to find turbine head
Used to find theoretical
power
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Drive Shaft• Two precision made stainless steal pivot
shafts• Pressed into a 6160 Aluminum shaft• Pressed into ABS plastic turbine
Design SpecificationsDrive Shaft and Bearing
Jewel Bearing • Two #10-32 spring loaded
synthetic sapphire jewel bearing• Custom fabricated a bottom
bearing housing that minimized intrusion of flow
Design Analysis: Generator
Magnetic Generator Three phase coil configuration
Two coils in series per phase AC to DC via rectifierSealed from elements30 gauge copper wire
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Schematic of Stator
Design Analysis: Generator
Initial testing implied a relationship between gap distance and power
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0 5 10 15 20 25 30 35 400
5
10
15
20
25
30
35
f(x) = 46.9705472388832 exp( − 0.127522739012544 x )
Gap vs. Voltage
Distance Between Magnets and Generator (mm)
Volt
age
(V)
Implications: • Infinite power
output: (not possible)
• Power increases as gap distance decreases
• Further testing completed
Design Analysis: Generator
Goal: Establish Power Relationship
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• Linear relationship matches theoretical results from CDR
• Note: subsystem testing with 0.25 Watt resistor limits
350 450 550 650 7500
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
Current vs. RPM
24 Ohms100 Ohms216 Ohms
RPM
Curr
ent (
Amps
)
350 400 450 500 550 600 650 700 750 8000.00
0.10
0.20
0.30
0.40
0.50
Power vs. RPM
906 ohmsLinear (906 ohms)469 OhmsLinear (469 Ohms)24 OhmsLinear (24 Ohms)
RPM
Pow
er (W
atts)
Design Analysis: Generator
Goal: Establish limit of power / current
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• Power develops until current max reached
• Copper wire gauge is expected to be primary limitation factor
p = R*I^2
0 20 40 60 80 100 1200.000.100.200.300.400.500.600.700.80
Power vs. Resistance
760 RPM
Resistance (Ohms)
Pow
er (W
atts)
Design Analysis: Generator
Goal: Maximize power output from previous relationships
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• Magnetic resistance overcomes current produced
• Gap distance as a variable factor
0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.50.0%
5.0%
10.0%
15.0%
20.0%
25.0%
30.0%
Efficiency vs. Gap Distance
Gap Distance (in)
Effic
ienc
y760 RPM
(Note: Equivalent relationship demonstrated at lower RPMs)
Final Design
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Closed Assembly Turbine Exposed Separated Assembly
Power vs. Resistance
0 20 40 60 80 100 120 1400.00
0.50
1.00
1.50
2.00
2.50
2 GPM
3 GPM
4 GPM
5 GPM
Resistance (Ohms)
Pow
er (W
atts)
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Experimental Data
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0 20 40 60 80 100 120 140 1600.000
0.500
1.000
1.500
2.000
2.500
5 Gallons per Minute
Resistance (Ohms)
Pow
er (W
atts)
GPM Pipe Dia. (in) Turbine Dia. (in) Water Velocity (ft/s) Equivalent RPM Measured RPM % Impulse5 0.25 2.67 32.7 2805 1425 50.804 0.25 2.67 26.1 2244 1220 54.363 0.25 2.67 19.6 1683 1008 59.892 0.25 2.67 13.1 1122 640 57.041 0.25 2.67 6.5 561 391 69.69
Functional TestingFunctional
RequirementsTests Results
Extract energy from pressurized domestic water supply and convert to electrical energy
Preformed power generation across varying flow rates
Max power of 2.3 Watts at 5 gpm and >55 ohms
Maintain working water pressure at flow rates up to 5 gallons per minute
Performed incremental & instantaneous increase in flow rate up to 5 gpm
Device operated as designed without failure
Device is sealed from surroundings to protect water supply from contamination
Applied max available pressure (55 psi) to housing assembly
Initial minor leakage, remedied via sealant application & change of adhesive in future iterations05/01/2023 16
BudgetPart/Material Supplier Cost Quantity Shipping/Tax Subtotal
Turbine
ABS PlasticUSD Engr
Dept$250.00 1 $0.00 $250.00
Support Material
USD Engr Dept
$250.00 1 $0.00 $250.00
Jewel Bearings Swiss Jewel $150.00 8 $23.50 $173.50
Generator
Magnets K&J Magnets $12.00 6 $16.00 $88.00
Copper Wire - Spool
Locally Sourced
$100.00 1 $9.00 $109.00
ResinLocally Sourced
$125.00 1 $11.25 $136.25
SiliconLocally Sourced
$100.00 1 $9.00 $109.00
Housing
PVC SheetUSD Engr
Dept$75.00 1 $6.00 $81.00
PVC Cement Home Depot $5.00 2 $1.00 $6.00
Acrylic Sheet Ridout $45.00 1 $4.00 $49.00
Acrylic Cement Ridout $10.00 1 $1.00 $11.00
Testing
PVC Pipe Home Depot $2.00/10 ft 2 $0.40 $4.40
Ball Valve Home Depot $2.00 1 $0.20 $2.20
Plywood Home Depot $15.00 1 $1.00 $16.00
Pressure GaugeMcMaster-
Carr$9.00 2 $8.00 $26.00
Misc. Fasteners Home Depot $50.00 1 $5.00 $20.00
Total $1365
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Future Development
Parallel assembliesDynamic resistance Test for turbine “freeze” point of current
prototypeTest at higher flow rates >5 gpm
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Dynamometer Testing of Subsystems
RPM Torque (ft-lb)
Turbine 775 0.026
Generator 760 0.034
Questions?
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