THREE-DIMENSIONAL (3D) FLOW FLOATING POWER GENERATOR

Abstract

A floating electrical power generator having a three-dimensional (3D) flow passageway configured for increasing the water flow on the paddle wheel to increase the power output.

Claims

1. A floating power generator, comprising: a floating platform comprising a pair of spaced apart pontoons connected together by a bottom portion or wall, the floating platform configured to define a three-dimensional (3D) flow passageway having a closed bottom extending along a length of the floating platform; a paddle wheel mounted on the floating platform so that paddles rotate downwardly into the flow passageway; and an electrical generator driven by the paddle wheel to generate power, wherein the floating platform and paddle wheel are configured so that a cross-sectional flow area of the 3D flow passageway decreases exponentially along the 3D passageway to a location of the paddles of the paddle wheel operating in the 3D flow passageway to increase a speed of water flow operating on the paddles of the paddle wheel to increase power production.

2. A floating power generator, comprising: a floating platform comprising a pair of spaced apart pontoons connected together by a bottom portion or wall defining a three-dimensional (3D) flow passageway extending along a length of the floating platform, the 3D flow passageway having a first flow passageway section tapering inwardly in a width dimension along a flow direction and having a fixed first depth, the first flow passageway transitioning into a second flow passageway having an increasing depth, the second flow passageway transitioning to a third flow passageway having a second depth greater than the first depth and a fixed width dimension in the flow direction; a paddle wheel mounted on the floating platform so that paddles operate in a second portion of the second flow passageway and a first portion of the third flow passageway; and an electrical generator configured to drive the paddle wheel.

3. A floating power generator, comprising: a floating platform comprising a pair of spaced apart pontoons connected together by a bottom portion or plate together defining a three-dimensional (3D) flow passageway extending along a length of the floating platform, the 3D flow passageway having a first flow passageway section tapering inwardly in a width dimension and having a fixed first depth, the first flow passageway transitioning into a second flow passageway having a fixed width dimension and an increasing depth, the second flow passageway transitioning into a third flow passageway having a fixed width and a second depth greater than the first depth in the flow direction; a paddle wheel mounted on the floating platform so that paddles operate within a second portion of the second flow passageway and a first portion of the third passageway; and an electrical generator configured to drive the paddle wheel, wherein the three-dimensional (3D) flow passageway is an open passageway upstream of the paddle wheel, a closed passageway at the paddle wheel, and an open passageway downstream of the paddle wheel.

4. The generator according to claim 1, wherein the flow passageway is configured with a first flow passageway section having a first depth transitioning into a second flow passageway having an increasing depth, the second flow passageway transitioning into a third flow passageway having a second depth greater than said first depth.

5. The generator according to claim 1, wherein the flow passageway is configured with a first flow passageway tapering inwardly in a width dimension.

6. The generator according to claim 4, wherein the flow passageway is configured with a first flow passageway tapering inwardly in a width dimension.

7. The generator according to claim 1, wherein the second flow passageway has a fixed width.

8. The generator according to claim 1, wherein the third flow passageway has a fixed width.

9. The generator according to claim 6, wherein the second flow passageway and third flow passageway have a fixed width.

10. The generator according to claim 1, wherein the first flow passageway is configured with an open top, closed sides, a closed bottom flow passageway.

11. The generator according to claim 1, wherein the 3D flow passageway is configured with closed top, closed sides, and closed bottom at the location of the paddle wheel.

12. The generator according to claim 1, wherein inner sides of the pair of pontoons located along a first flow passageway section taper inwardly along the first flow passageway and the bottom portion is located at a fixed first depth defining the first flow passageway.

13. The generator according to claim 1, wherein the paddle wheel comprises folding paddles.

14. The generator according to claim 13, wherein each folding paddle comprises a hinge having a pin.

15. The generator according to claim 1, wherein the inlet to the flow passageway is configured to have a variable configuration.

16. The generator according to claim 1, wherein the bottom portion or wall at the inlet to the flow passageway is aligned with the water flow.

17. The generator according to claim 1, wherein the bottom portion or wall at the inlet to the flow passageway angles upwardly to increase the cross-sectional flow area downstream of the inlet.

18. The generator according to claim 1, wherein the floating platform and paddle wheel are configured so that outer ends of the paddles of the rotating paddle wheel are in close proximity to the bottom portion or wall of the floating platform.

19. The generator according to claim 1, wherein the bottom portion or wall is a bottom plate structure defining a bottom of the flow passageway.

20. The generator according to claim 1, wherein the paddle wheel comprises a continuous closed outer ring having folding paddles hinged thereon, the paddle wheel configured to prevent wall leaking around ends of the paddle wheel and into an interior of the paddle wheel.

21. The generator according to claim 20, wherein an effective cross-section flow area is defined between an outer surface of the closed outer ring of the paddle wheel and bottom portion or wall of the flow passageway.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

[0069] FIG. 1A is a diagrammatic view of an undershot type water wheel.

[0070] FIG. 1B is a diagrammatic view of a breastshot type water wheel.

[0071] FIG. 1C is a diagrammatic view of an overshot type water wheel.

[0072] FIG. 2 is a perspective view of a floating power generator.

[0073] FIG. 3 is a side elevational view of the floating power generator shown in FIG. 1.

[0074] FIG. 4 is an end elevational view of the floating power generator shown in FIG. 1.

[0075] FIG. 5 is a top planar view of the floating power generator shown in FIG. 1.

[0076] FIG. 6 is a perspective view of a paddle of the paddlewheel of the floating power generator shown in FIG. 1.

[0077] FIG. 7 is a side elevational view of the paddle shown in FIG. 6.

[0078] FIG. 8 is a broken away side elevational view of one (1) paddle and a portion of the paddle wheel of the floating power generator shown in FIG. 1.

[0079] FIG. 9 is a broken away side elevational view of an interior of one side of a hub of the paddle wheel of the floating power generator shown in FIG. 1.

[0080] FIG. 10 is a broken away side elevational view of the interior of an opposite side of the hub shown in FIG. 9.

[0081] FIG. 11 is an enlarged side elevational view of a gear set provided on the one side of the hub shown in FIG. 9.

[0082] FIG. 12 is an enlarged side elevational view of another gear set provided on the opposite side of the hub shown in FIG. 10.

[0083] FIG. 13 is a side elevational view of the combined gear set assembly shown in FIGS. 11 and 12.

[0084] FIG. 14 is a partial end elevational view of the floating power generator shown in FIG. 1.

[0085] FIG. 15 is a partial end elevational view of another floating power generator.

[0086] FIG. 16 is a diagrammatic view of the combined electrical generator and paddle wheel.

[0087] FIG. 17 is a diagrammatic view of the combined electrical generator, variable speed drive, and paddle wheel.

[0088] FIG. 18 is a diagrammatic view of the electrical system of the floating power generator shown in FIG. 15.

[0089] FIG. 19 is a partial end elevational view of the floating power generator shown in FIG. 15 along with components of the electrical system shown in FIG. 18.

[0090] FIG. 20 is a perspective view of a further floating power generator.

[0091] FIG. 21 is a side elevational view of a three-dimensional flow floating power generator.

[0092] FIG. 22 is a top planar view of the floating power generator shown in FIG. 21.

[0093] FIG. 23 is a partial side elevational view of the paddle of the paddle wheel of the floating power generator shown in FIG. 21.

[0094] FIG. 24 is a partial side elevational view of the paddle of the paddle wheel of the floating power generator shown in FIG. 21.

[0095] FIG. 25 is an end elevational view of a paddle of the paddle wheel of the floating power generator shown in FIG. 21.

[0096] FIG. 26 is an edge elevational view of the paddle shown in FIG. 25 showing is curved or cupped configuration to enhance gripping the flow of water.

[0097] FIG. 27 is a front elevational view of a modified floating power generator the same or similar to the floating power generator shown in FIG. 20 having inwardly tapering pontoons connected to the floating power generator to funnel the water flow to the paddle wheel.

[0098] FIG. 28 is a top planar view of the floating power generator shown in FIG. 27.

[0099] FIGS. 29-31 a various equations.

[0100] FIG. 32 is a diagram view of channel flow.

[0101] FIG. 33 is an equation.

[0102] FIG. 34 is an equation.

[0103] FIG. 35 is a graph showing the performance zones of various types of water wheels.

[0104] FIG. 36 is a diagrammatic view of the paddle wheel.

[0105] FIGS. 37- is an equation.

[0106] FIG. 29 is an equation.

[0107] FIG. 29 is an equation.

[0108] FIG. 29 is an equation.

[0109] FIGS. 30-71 are various equations

[0110] FIG. 72 is a table of analytical calculations.

[0111] FIG. 73 is a graph of water wheel paddle area verses water flow inlet velocity.

[0112] FIG. 74 is a table of analytical calculations.

[0113] FIG. 75 is a graph of water wheel paddle area verses water flow inlet velocity.

[0114] FIG. 76 is a table of analytical calculations.

[0115] FIG. 77 is a graph of water wheel paddle area verses water flow inlet velocity.

[0116] FIG. 78 is a table of analytical calculations.

[0117] FIG. 79 is a graph of water wheel paddle area verses water flow inlet velocity.

[0118] FIG. 80 is a side elevational view of a horizontal axial turbine (HAT) type floating power generator.

[0119] FIGS. 81 and 82 are various equations.

[0120] FIG. 83 is a list of various equation symbols.

[0121] FIGS. 84 and 85 are floating power generator calculators.

[0122] FIG. 86 is diagrammatic views of a vertical axial turbine (VAT) type floating power generator.

DETAILED DESCRIPTION

[0123] The floating electrical power generator 10 is shown in FIGS. 2-5. The floating electrical power generator 10 comprises a catamaran 12 having a pair of spaced apart hulls 14 provided with a plurality of cross-beams 15 supporting a platform 16, and a frame 18 supporting a paddle wheel 20.

[0124] The paddle wheel 20 comprises a center hub 22 and an outer ring 24 positioned concentric relative to the hub 22. The hub 22 and outer ring 24 are connected together by spokes 26 each having a paddle 28.

[0125] As shown in FIGS. 6 and 7, each paddle 28 is provided with a sleeve 28a, a fastener 28b (e.g. nut and bolt), and a sleeve reinforcement 28c (e.g. weld steel). An end of each spoke 26 fits into each sleeve 28a of each paddle 28 to removably connect each paddle 28 to each spoke 26.

[0126] As shown in FIG. 8, each spoke 26 extends through a sleeve 36 in the outer ring 24 of the paddle wheel 20 to allow rotation of the spoke 26 to be described below.

[0127] As shown in FIGS. 9 and 10, the hub 22 comprises an outer hub 22a, an inner hub 22b, and a pair of hub covers 30 (FIG. 4) provided on opposite sides of the outer hub 22a.

[0128] The floating electrical power generator 10 can be installed in a moving body of water (e.g. river, stream, run). For example, an anchor 32 (e.g. cement block, metal anchor) can be connected via an anchor line 34 to the floating electrical power generator 10 to maintain same at a fixed position on the moving body of water. Alternatively, a plurality of anchors and/or posts on land can be used to secure the floating electrical power generator 10 from movement on the moving body of water.

Variable Pitch

[0129] The paddles 28 can be fixed from rotation relative to the outer ring 28. For example, the paddles 28 can be fixed and orient perpendicular relative to the direction of water flow F (e.g. centerline of the catamaran 12 can be aligned with direction of water flow F). Alternatively, the paddles can be mounted to have a variable pitch relative to a centerline of each spoke 26 so that the angle of the paddles relative to the direction of water flow F can be varied from perpendicular to a selected off angle (e.g. positive or negative add).

[0130] The variable pitch configuration of the paddles 28 can change the amount of bite of the paddles 28 in the water flow F. For example, the paddles 28 can be configured so that maximum bite with the water occurs when the paddles 28 are orient perpendicular relative to the direction of water flow F. When, the pitch of the paddles 28 are changed positive or negative, the paddles 28 have less bite with the water, and the rotational speed of the paddle wheel 20 can be increased. It is noted that a positive and negative pitch of the paddles 28 can also produce a side thrust and/or torque applied to the catamaran 12, which can be used to maneuver the catamaran (e.g. catamaran maneuvered off angle relative to the direction of water flow F).

[0131] A variable pitch arrangement of the paddles 28 is shown in FIGS. 9-13. Specifically, as shown in FIG. 8, each paddle 28 is mounted onto an outer end 26a of each spoke 26. The outer end 26a of each spoke 26 fits within a through hole in the outer ring 24, and is supported by the outer ring 24. The through holes in the outer ring 24 are each fitted with a sleeve 36 configured to allow the respective spoke 26 to rotate therein. For example, each spoke 26 and sleeve 36 have a cooperating round configuration (i.e. round cross-sectional shape). The round spoke 26 fits through the round sleeve 36 to provide a configuration to allow the round spoke 26 to be rotated within the round sleeve 36 when rotating each paddle 28. In this manner, the angle of the paddles 28 (e.g. leading edge of each paddle) can be adjusted or varied relative to the outer ring 24 and relative to the direction of water flow F.

[0132] As shown in FIG. 9, an inner end 26b of each spoke 26 fits within a through hole in the outer hub 22a, and is supported by the outer hub 22a. The through holes in the outer hub 22a are each fitted with a sleeve 38 configured to allow the respective spoke 26 to rotate therein. For example, each spoke 26 and sleeve 36 have a cooperating round configuration (i.e. round cross-sectional shape). The round spoke 26 fits through the round sleeve 36 to provide a configuration to allow the round spoke 26 to be rotated within the round sleeve 36.

[0133] The inner end 26b of each spoke 26 is provided with a pinion gear 40 (FIG. 9) cooperating with a bevel gear 42. For illustration purposes, a single pinion gear 40 cooperating with the bevel gear 42 is shown in FIG. 11; however, the pinion gears 40 of all the spokes 26 cooperate with the bevel gear 42, as shown in FIG. 9. As the bevel gear 42 is rotated, the pinion gears 40 are simultaneously rotated to change the pitch of the spokes 26 and corresponding paddles 28.

[0134] The bevel gear 42 is connected to a worm gear 44 via an inner hub 22b, as shown in FIG. 13. A worm 46 cooperates with the worm gear 44 to simultaneously rotate the worm gear 44 and bevel gear 42 to rotate the pinion gears 40 and spokes 26 to change the pitch of the paddles 28.

[0135] As shown in FIG. 10, a motor 50 (e.g. electric, hydraulic) is connected to the worm 48 to selectively and simultaneously drive the worm gear 44, inner hub 22b, bevel gear 42, and pinion gears 40 to rotate the spokes 26 and change the pitch of the paddles 28 when activated.

[0136] The inner hub 22b is mounted on an axle 52 of the paddle wheel 20. For example, a through hole in the inner hub 22b and the axle 52 are keyed together with a key 52, as shown in FIG. 12, so that the axle 52 and inner hub 22b rotate together with the paddle wheel 20. Further, the motor 50 is mounted to rotate along with the inner hub 22b. For example, as shown in FIG. 13, the motor 50 is mounted to a backside of the bevel gear 42 to spin or rotate together as a unit with the inner hub 22b, outer hub 22a, and outer ring 24 of the paddle wheel 20 as an assembled unit.

[0137] The motor 48 can be an electric, hydraulic, or pneumatic motor configured to be remotely controlled via wire or wirelessly. The motor 48 is configured to be supplied with electrical power, hydraulic fluid, or air pressure while rotating around with the paddle wheel 20. Thus, an electric, hydraulic, or pneumatic connection configured to allow rotation between motor 48 and a stationary input or supply of electric, pressurized hydraulic fluid, or pressurized air will be required as a component of the motor 48, or a separate unit mounted in proximity relative to the motor 48. For example, a slip ring electrical conductor can provide electric power to the motor 48.

Frame

[0138] The frame 18 comprises a pair of spaced apart inclined posts 18a connected together at the top thereof by cross-members 18b and 18c and connected together at the bottom thereof by a plurality of cross-members 15 of the catamaran 12 and the platform 16, as shown in FIG. 14. For example, the frame 18 can be a metal frame made of rectangular cross-sectional tubular members welded and/or fastened together.

[0139] The posts 18a can be provided with anchoring plates 18d and bolt fasteners 18e for removably and securely connecting the frame 18 to the cross-members 15 of the catamaran 12 and platform 16.

[0140] The posts 18a can be fitted with outwardly extending outriggers 18f and inwardly extending outriggers 18g. For example, sections of metal box beams are fitted with anchoring plates 18fa, 18ga and mounting plates 18fb, 18gb, respectively. The anchoring plates 18fa, 18ga connected to mounting plates 18aa of the posts 18. The respective anchoring plates can be connected together (e.g. using nuts and bolts).

[0141] The platform 16 can be constructed, for example, with a flat slip proof upper surface, and a slot 16a (FIG. 14) for accommodating the paddle wheel 20 extending through a center portion of the platform 16.

[0142] Further, for example, the frame 18 can be made of a type of steel that is corrosion resistant (e.g. stainless steel, aluminum) and/or creates a protective outer layer when weathered. Alternatively, the frame 18 can be made of metal and coated inside and outside (e.g. electroplated, galvanized, primed, painted, tarred) to prevent corrosion thereof.

Electrical Generators

[0143] The floating power generator 10 comprises one or more electrical generators 54 (e.g. pair of generators 54) installed on the inwardly extending outriggers 18g. The electrical generators 54 are coupled to the axle 50 of the paddle wheel 20 by couplings 56. A pair of mounts 58 installed on the mounting plates 18gb of the inwardly extending outriggers 18g support opposite ends of the axle 50 of the paddle wheel 20 to allow rotation thereof.

[0144] the electrical generators 54 are connected via electrical cables 60 to the equipment boxes 62 installed on the mounting plates 18fb of the outwardly extending outriggers 18f. The equipment boxes 62 can contain electrical equipment to operate and control the floating power generator 10.

[0145] The electrical generators 54 can be configured to generate direct current (DC), or can be alternators configured to generate alternating current (AC).

Variable Speed Drive

[0146] As shown in FIG. 14, the electrical generator 54 can be directly connected to the paddle wheel 20 (e.g. via axle 50 of the paddle wheel 20 and coupling 56).

[0147] As shown in FIG. 16, the electrical generator 54 can be connected to the paddle wheel 20 via a variable speed drive 64. The variable speed drive 64 can be a mechanical variable speed drive (e.g. transmission), and/or can be an electrical variable speed drive controlling the operation of the electrical generator 54 based on the operation of the paddle wheel 20.

Variable Depth Paddles

[0148] The depth of the paddles relative to the water level WL can be configured to be variable or adjustable. For example, as shown in FIG. 15, the frame 118 can be raised and lowered by hydraulic jacks 166 each fitted with a hydraulic cylinder 168 for raising and lowering the paddle wheel 120 to correspondingly raise and lower the paddles 128 relative to the water level WL.

[0149] The hydraulic cylinders 168 each comprise a piston 170 provided with a yoke connector 172 and a cylinder 174 connected by a bracket 176 to a sleeve housing 178 of each hydraulic jack 166. The sleeve housings 178 each comprise an internal passageway extending top to bottom for slidingly accommodating a lower frame section 118h fitted with a locking pawl 180. The sleeve housings 178 are each fitted with a solenoid locking device 182 cooperating with the locking pawl 180 for selectively electronically locking and unlocking the frame 120 within the hydraulic jack 166 at a selected height. Specifically, the solenoid locking devices 182 are electronically unlocked (e.g. remotely by electronic control) to allow the frame 120 to be raises or lowered via the hydraulic cylinders 168. After the height of the frame 120 is adjusted to adjust the depth of the paddles 128 relative to the water level WL, the solenoid locking devices 182 are then actuated to locked the frame 120 at the adjusted height within the hydraulic jacks 166.

[0150] Hydraulic pump units 184 (FIG. 15) are connected to the hydraulic cylinders 184 via hydraulic pressure lines 186 and hydraulic return lines 188. The hydraulic pump 184 is configured to be controlled remotely via wire or wirelessly.

Electrical System

[0151] The electrical system 200 of the of the floating electrical power generator 10 is shown in FIG. 18.

[0152] The electrical system 200 comprises a variety of sensors, including a flow sensor 202 for detecting the water speed of the water flow F relative to the floating power generator 10 (110); a rotational speed sensor 204 for detecting the rotational speed of the paddle wheel 220; a pitch angle sensor 206 for detecting the pitch angle of the paddles 28 (128); and a paddle depth sensor 208 for detecting the depth of the paddles 28 (128) relative to the water level WL. The electrical system 200 further comprises power meters 210 configured for detecting the power output of the electrical generators 54 in real time.

[0153] The electrical system 200 comprises a computer 212 for receiving input signals from the flow sensor 202, rotational speed sensor 204, pitch angle sensor 206, paddle depth sensor 208, and power meters 210, and generating output signals for controlling the operation of the floating power generator 10. Specifically, the computer 212 generates output signals for controlling the operation of the generator controller 214 (e.g. variable speed controller). The generator controller 214 is configured to control the operation of the electrical generators 54, for example, configured to control the rotational speed, and voltage applied and current through the windings of the rotor and stator of each generator 54.

[0154] The computer 212 generates output signals for controlling the motor 48 for adjusting or changing the pitch of the paddles 28. Further, the computer 212 generates output signals for controlling the hydraulic pump unit 185 for raising or lowering the paddle wheel 20 for adjusting or changing the depth of the paddles 28 relative to the water level WL

[0155] Optionally, the electrical system 200 can comprise an auxiliary electrical power generator 214 (e.g. fuel, gasoline, gas, propane, battery powered electrical power generator) configured to operate one or both of the electrical generators 54 for driving the paddle wheel 20, for example, when propelling or maneuvering the floating power generator 10. Further, the electrical system 200 can include an optional manual or remote control unit 216 configured to operate and control the operation of the paddle wheel 20 when propelling or maneuvering the floating power generator 10. In this manner, the floating power generator 20 can be self-propelled to transport and maneuvered to a particular position and orientation on the flowing body of water without the need of being towed and/or manipulated by another boat (e.g. tow boat).

[0156] In addition, the electrical system 200 can include a remotely operated brake device 218 to brake the paddle wheel 20, or lock the paddle wheel 20 from rotating. For example, the brake device 218 is configured to quickly brake the paddle wheel 20 in the event of an emergency, or can be used to lock the paddle wheel 20 from rotating when not operating or when being transported on the flow body of water. Also, the braking device 218 can be used in combination with the computer 212 to limit the maximum speed of rotation of the paddle wheel 20 via a computer program.

[0157] The brake device 118, for example, can be a disc brake unit having a caliper applied to the worm gear 44 (FIG. 13) being used as a disc brake rotor.

Compact Floating Power Generator

[0158] Another floating electrical power generator 310 is shown in FIG. 20. The floating electrical power generator 310 comprises a catamaran 312 having two (2) hulls 314 connected together by cross members 315

[0159] A set of frames 316 are mounted on respective hulls 314 supporting a paddle wheel 320. The paddle wheel 320 comprises eight (8) spoon-shaped paddles 326 having spoon portions 328. The spoon portions 328 are angled transversely as shown. The spoon portions 328 can be set at a slight angle (e.g. + or −10 degrees) from transverse.

[0160] The paddles 326 can be made of metal (e.g. fabricated, welded, forged), or can be made of plastic (e.g. molded fiberglass, carbon graphite, Kevlar).

[0161] The paddle wheel 320 is mounted on an axle 352 supported by the frames 318. A hub cover 330 is provided on one or both sides of the axle 352. One or more electrical generators can be connected to either or both sides of the axle 352, and located under the hub cover 330.

[0162] The floating power generator 310 can include all the features, components, and/or arrangement like the floating power generator 110, as shown in FIGS. 18 and 19.

Operation

[0163] The floating electrical power generator 10 is positioned in the flowing body of water, and then anchored to become operational. The brake device 118 is operated to release the brake and allow the paddle wheel 20 to rotate via the flowing water body operating on the paddles 28.

[0164] The electrical generators 54 can optionally include a switch to turn on or off the electrical circuits of the rotor and stator of the electrical generators 54. For example, the electrical generators 54 can be switched in a first mode to freely rotate without generating power. In this manner, the paddle wheel 20 can drive the electrical generator without generating power. Then, the electrical generators 54 can be switched to a second mode to generate electrical power. In addition, the electrical circuits in the rotor and stator of the electrical generators 54 can be configured to be controlled by the electrical controller 112 to control the operation thereof. Additional electrical equipment can be provided to provide this type of control of the electrical generators 54 by the electrical controller 112. For example, an electrical type of variable speed drive 65 (FIG. 16) can be installed to provide computer controlled operation of the electrical generators 54 to maximize electrical power output from the electrical generators 54.

[0165] Alternatively, a mechanical type of variable speed drive 65 can be installed and configured to provide computer controlled operation of the mechanical load (e.g. power) applied from the paddle wheel 20 to the electrical generators 54 to maximize electrical power output from the electrical generators 54.

[0166] The electrical controller 112 can also computer control the operation of the motor 50 to adjust or change the pitch of the paddles 28 along with the operation of the motor 48 in real time operation, for example, to maximize the electrical power output of the electrical generators.

[0167] The electrical controller 112 can be a computer programmed electrical controller programmed, for example, to control the operation of the floating electrical power generator 10 in real time, and maximize the electrical output of the electrical generators 54. For example, the input from the power output meter 110 is sampled and recorded along with the inputs from the pitch angle detector 106 and paddle depth sensor 108. The computer programmed electrical control is provided with a computer program or algorithm to continuously adjust and test the power output to continuously update and maximize power output of the electrical generators 54 while operating to generate power.

Three-Dimensional (3D) Flow Type Floating Power Generator

[0168] A floating electrical power generator 410 is shown in FIGS. 21 and 22. The floating electrical power generator 410 comprises a floating platform 412 having a pair of spaced apart pontoons 414 connected to a lower portion 412a (e.g. lower plate) defining a flow passageway FP through the floating platform 412. A pair of upper cross members 415 can be installed to further connect the pontoons together. The top surfaces of the pontoons define a platform 416. Alternatively, or in addition, a platform can be added on top of the pontoons 414 to create a more substantial platform.

[0169] The floating electrical power generator 410 further comprises a paddle wheel 420 mounted on a frame 418 extending upwardly from the floating platform 412. A lower portion of the paddle wheel 420 is disposed with the flow passageway FP, as shown in FIG. 21. The rotation axis of the paddle wheel 420 is located at the water level WL.

[0170] The flow passageway FP comprises a first flow passageway section FP.sub.1, a Second flow passageway FP.sub.2, and a third flow passageway FP.sub.3. The first flow passageway FP.sub.1 has a fixed depth D.sub.1, the second flow passageway FP.sub.2 has an increasing depth flow passageway having an inlet depth D.sub.1 and an exit depth D.sub.3, and the third flow passageway FP.sub.3 has a fixed depth D.sub.3. The depth D2, as shown in FIG. 21, is greater than the depth D.sub.1.

[0171] The flow passageway FP is a three-dimensional (3D) flow passageway FP, as shown in FIGS. 20 and 21. Specifically, the flow passageway FP is configured to change in cross-section flow area along the length of the flow passageway FP.

[0172] The first flow passageway FP.sub.1 is configured to have a fixed depth D.sub.1 (FIG. 21) and an inwardly tapering width (FIG. 22). Specifically, the width tapers inwardly from W.sub.1 to W.sub.2 at an angle θ.sub.1 and then from W.sub.2 to W.sub.3 at an angle θ.sub.2. Thus, the cross-sectional flow area in the first flow passageway FP.sub.1 decreases along the length of the first flow passageway FP.sub.1 resulting in the flow speed continuously increasing along the length of the first flow passageway FP.sub.1. Alternatively, the bottom wall 412′ (FIG. 21) tapers upwardly decreasing the depth of the first flow passageway FP.sub.1 in the flow direction, which further reduces the cross-sectional flow in the height dimension of the first flow passageway FP.sub.1 further increasing the flow speed along the length of the first flow passageway FP.sub.1. It is noted the first flow passageway FP.sub.1 is configured to be an open passageway (i.e. upper surface is open to the atmosphere).

[0173] The second flow passageway FP.sub.2 is configured to increase in flow depth (FIG. 21) in the flow direction and a fixed width (FIG. 22). Due to the existence of the paddle wheel 420 operating within the second flow passageway FP.sub.2, the effective height dimension of the second flow passageway FP.sub.2 decreases from a leading edge of the paddle wheel 420 to a center line of the paddle wheel 420 (FIG. 21). This arrangement results in the flow speed significantly increasing in the second flow passageway FP.sub.2 at the location of the paddle wheel 420 (i.e. compressed flow). The outer ring 424 of the paddle wheel 420 is configured to seal or isolate the second flow passageway FP.sub.2 from the interior of the paddle wheel 420. For example, the outer ring 424 of the paddle wheel 420 is constructed to have a continuous wall (e.g. continuous metal plate) serving as a wall separating or isolating the second flow passageway FP.sub.2 from the interior of the paddle wheel 420 and atmosphere. In this arrangement, a first portion of the second flow passageway FP.sub.2 located before the paddle wheel 420 is an open passageway (i.e. upper surface is open to the atmosphere) and a second portion of the second flow passageway FP.sub.2 at the paddle wheel is a closed passageway (i.e. upper surface is closed to the atmosphere by the continuous outer ring 424 of the paddle wheel 420) essentially defining an upper wall of the second portion of the second flow passageway FP.sub.2. Again, it is noted that the second flow passageway FP.sub.2 is open to the atmosphere at the first portion of the second flow passageway FP.sub.2 and then closed to the atmosphere at the second portion of the second flow passageway FP.sub.2. Further, the width of the paddle wheel 420 is the same as the width of the paddle wheel 420 less a slight distance to provide a tight clearance with the side wall of the second flow passageway FP.sub.2 while allowing rotation of the paddle wheel 420 within the second flow passageway FP.sub.2. The side seals 421 (e.g. elastic annular ring seal made of rubber or polymer, e.g. polyurethane) are installed on the sides of the paddle wheel 420 and located in the clearance between the outer sides of the paddle wheel 420 and the inner sides of the second flow passageway FP.sub.2 to seal and prevent leakage of water flow in the second flow passageway FP.sub.2 around the outer sides of the paddle wheel 420 and the inner sides of the second flow passageway FP.sub.2 and into the interior of the paddle wheel 420. In this manner, the second portion of the second flow passageway FP.sub.2 is a closed and sealed flow passageway.

[0174] The third flow passageway FP.sub.3 is configured with a fixed depth D.sub.2 (FIG. 21) and a fixed width W.sub.3 (FIG. 22). Due to the existence of the paddle wheel 420 operating within the third flow passageway FP.sub.3, the effective height dimension of the third flow passageway FP.sub.3 increases from a centerline of the paddle wheel 420 to a trailing edge of the paddle wheel 420 (FIG. 21). This arrangement results in the flow speed significantly decreasing in the third flow passageway FP.sub.3 at the location of the paddle wheel 420. For example, the outer ring 424 of the paddle wheel 420 is constructed to have a continuous wall (e.g. continuous metal plate) serving as a wall separating or isolating the third flow passageway FP.sub.3 from the interior of the paddle wheel 420 and atmosphere. In this arrangement, a first portion of the third flow passageway FP.sub.3 located at the paddle wheel 420 is an closed passageway (i.e. upper surface is closed to the atmosphere by the continuous outer ring 424 of the paddle wheel 420) essentially defining an upper wall of the first portion of the third flow passageway FP.sub.3. The second portion of the third flow passageway FP.sub.3 after the paddle wheel 420 is open to the atmosphere. It is note that the first portion of the third flow passageway FP.sub.3 is closed to the atmosphere at the second portion of the third flow passageway FP.sub.3 is open to the atmosphere. Further, the width of the paddle wheel 420 is the same as the width of the paddle wheel 420 less a slight distance to provide a tight clearance with the side wall of the third flow passageway FP.sub.3 while allowing rotation of the paddle wheel 420 within the third flow passageway FP.sub.3. The side seals 421 (e.g. elastic annular ring seal made of rubber or polymer, e.g. polyurethane) are installed on the sides of the paddle wheel 420 and located in the clearance between the outer sides of the paddle wheel 420 and the inner sides of the third flow passageway FP.sub.3 to seal and prevent leakage of water flow from the third flow passageway FP.sub.3 around the outer sides of the paddle wheel 420 and the inner sides of the third flow passageway FP.sub.3 and into the interior of the paddle wheel 420.

[0175] The first portion of the third flow passageway FP.sub.3 located at the paddle wheel 420 tapers outwardly resulting in the cross-sectional flow area increasing in size and de-accelerating the flow speed (i.e. expanded flow). In this manner, the first portion of the third flow passageway FP.sub.3 is a closed and sealed flow passageway.

[0176] Thus, the flow passageway FP changes from an open passageway located before the paddle wheel 420 to a closed passageway at the paddle wheel 420, and then back to an open flow passageway after the paddle wheel 420. Due to the floating nature of the floating electrical power generator 410, the water level of the inlet end of the flow passageway FP is the same as the water level at the outlet end of the flow passageway FP. Further, the depth D.sub.1 of the inlet end of the flow passageway FP is less than the depth D.sub.2 at the outlet end of the flow passageway FP.

[0177] The lower portion 412a is configured so that the first flow passageway FP.sub.1 is parallel to the water flow WF at the inlet 417 (FIG. 21) of the flow passageway FP and having a depth D.sub.1, and then curves or transitions downwardly to a greater depth D.sub.2. In addition, the inner side walls 414a and 414b of each pontoon 414 is set at different angles θ.sub.1 and θ.sub.2 relative to the water flow WF to define a converging flow passageway in the horizontal plane (FIG. 21). For example, the inner wall 414a is set at a greater angle θ.sub.1 relative to the water flow WF compared to the inner wall 414b set an an angle θ.sub.2 relative to the water flow WF to funnel the water into the second flow passageway FP.sub.2.

[0178] Again, the water flow WF through the first passageway section FP.sub.1 speeds up due to the convergent tapering configuration of the first flow passageway FP.sub.1 (FIG. 22) just prior to reaching the paddle wheel 420 having folding paddles 428 operating in the second flow passageway FP.sub.2 and third flow passageway FP.sub.3. The water flow WF through the second portion of the second flow passageway FP.sub.2 continues to speed up due the closed outer ring 424 of the paddle wheel 420 decreasing the cross-section flow area of water flow between the closed outer ring 424 of the paddle wheel 420 and the bottom portion 412a of the flow passageway FP of the floating platform 412. The water flow WF through the first portion of the third flow passageway FP expands and slows down due the cross-sectional flow area significantly increasing after flow past the paddle wheel 420. Thus, the size of the cross-sectional flow area of the flow passageway FP converges (i.e. compresses water flow WF) prior to the paddle wheel 420 and then diverges (i.e. expands water flow WF) after the paddle wheel 420.

[0179] In the embodiment shown in FIGS. 21 and 22, the first flow passageway FP.sub.1 is an “open” flow passageway open to the atmosphere along its upper flow side or surface. Alternatively, an upper plate can be provided between the pontoons 414 ahead of the paddle wheel 420 to provide a “closed” first flow passageway FP.sub.1 (e.g. an upper flat plate installed between the pontoons 414, oriented parallel to the water level WL, and located at or below the water level WL).

[0180] The paddle wheel 420 comprises a hub 422 and outer ring 424 connected together by spokes 426, as shown in FIG. 21. The paddle wheel 420 is mounted on an axle 450 supported by the frame 418 of the floating platform 412 for “free” rotation of the paddle wheel 420. The outer ring 424 is a “closed” continuous ring, as shown in FIG. 23, preventing water flowing to the interior of the outer ring 424. Specifically, the outer ring 424 has a width dimension equal to a width of the second flow passageway FP.sub.2 (FIG. 21) less a clearance dimension on each side of the outer ring 424 so that the outer ring does not contact with the inner sides 414c of the pontoons 414, as shown in FIG. 21. The flexible or resilient ring seals 421 are provided on the sides of the paddle wheel 420 to seal the clearance between the outer sides of the paddle wheel 420 and the inner sides of the flow passageway FP.

[0181] The paddle wheel 420 is fitted with folding paddles 426 equally spaced around an outer perimeter of the outer ring 420. Specifically, the folding paddles 426 are connected by hinges 428a located on the outer ring 424 of the paddle wheel 420. More specifically, each hinge 428a comprises multiple hinge plates 428b (FIG. 25) connected (e.g. formed, welded, mechanically fastened) to an outer surface 424a of the outer ring 424 of the paddle wheel 420, as shown in FIGS. 23 and 24, and multiple hinge plates 428e located on the inner edge 428d of each paddle 428, as shown in FIG. 25. The pin 428c pivotably connects each paddle 428 to the hinge plates 428b, 428e. Specifically, the pin 428c is installed through the through holes 428ca in the hinge plates 428b (FIG. 23) and through holes in hinge plates 428e.

[0182] The paddles 426 are connected to the outer ring 424 of the paddle wheel 420 in a manner to “freely” fold back-and-forth between an extended position (e.g. paddles descending on left side of paddle wheel in FIG. 20) and a retracted position (e.g. paddle ascending on right side of paddle wheel in FIG. 20). The weight of the paddles 426 actuate the paddles 426 back- and forth between the extended position and retracted position. Specifically, as the paddles 426 on the upstream side of the paddle wheel 420 descend due to the counter-clockwise rotation of the paddle wheel 420, the paddles 426 fold outwardly under their weight until an inner edge acting as a stop of each paddle 426 contacts with an outer surface of the outer ring 424, as shown in FIG. 23. As the paddles 426 ascend on the downstream side of the paddle wheel 420, the weight of the paddles 426 fold the paddles 426 to the retracted position.

[0183] The folding configuration of the paddles 426 located on the downstream side of the paddle wheel 420 significantly reduces the drag on the paddle wheel 420 when rotating due to the folding paddles 428 retracting when being lifted upwardly by the paddle wheel 420. The folding paddles 428 can be made of metal (e.g. fabricated, welded, forged), or can be made of plastic (e.g. molded fiberglass, carbon graphite, Kevlar).

[0184] The paddles 428 each have a scallop-shaped front working surface 428f and a flat rear surface 428g, as shown in FIG. 26. The scallop-shaping of the front surface is to increase the grip on the water flowing through the flow passageway FW to increase efficiency of the paddles 428.

[0185] The paddle wheel 420 is mounted on an axle 452 supported by mounts 458 located on the posts 418a of the frame 418. An electrical generator 454 and an electrical equipment box 462 can be mounted on a post 418a of the frame 418. Specifically, an outwardly extending outrigger 418f is connected to a post 418a supporting mounting plate 418fb for supporting the electrical generator 454 and electrical equipment box 462.

[0186] The paddle wheel 420 is mounted on the posts 418a of the frame 418 so that the outermost edges of the folding paddles 428 come into close proximity to the lower plate 412a, as shown in FIG. 21, to maximize the power generated by the paddle wheel 420.

[0187] The floating electrical power generator 410 can include all the features, components, and/or arrangement like the floating electrical power generator 110, as shown in FIGS. 17 and 18.

[0188] A floating electrical power generator 510 is shown in FIGS. 27 and 28. The floating electrical power generator 510 is the same as or similar to the floating electrical power generator 310 shown in FIG. 20, however, a pair of inwardly tapering pontoons 594 are connected via struts 596 to the pontoons 512 to funnel water towards the paddle wheel 520. The water flow to the paddle wheel 520 speeds up to increase the power generated by the paddle wheel 520.

Water Flow in an Open Channel

[0189] The water flow in an open passageway (i.e. the upper surface of the flow passageway is open to the atmosphere) is discussed in detail below.

[0190] The floating electrical power generators shown in FIGS. 2, 14, 15, and 20 are examples of floating electrical power generators configured with and operating in an open passageway (e.g. an open passageway defined between a pair of spaced apart floating hulls, pontoons, or floats defining a flow passageway).

[0191] The floating electrical power generator shown in FIG. 21 comprises a pair of spaced apart pontoons and a lower wall defining an open flow passageway upstream of the paddle wheel, a closed flow passageway at the paddle wheel, and an open flow passageway downstream of the paddle wheel providing the combination of an open-closed-open flow passageway.

[0192] The discussion below is based on a land based water wheel having an “open” type flow channel defined by an open top, closed sides, and a closed bottom. This type of flow channel typically has a fixed shallow depth with a small clearance between the outer edges of the paddles and the bottom of the open flow channel (see FIG. 1).

[0193] In contrast, the floating electrical power generators shown in FIGS. 2, 14, 15, and 20 have an open flow passageway defined by an open top, closed sides, and open bottom unlike the closed bottom of the land based flow channels shown in FIG. 1.

[0194] Further, the three-dimensional (3D) flow type floating power generator shown in FIG. 21 has a first flow passageway FP.sub.1 having an open top, closed sides, and closed bottom; a second flow passageway FP.sub.2 having a partial open and partial closed top, closed sides, and closed bottom; and a third flow passageway FP.sub.3 having a partial closed and partial open top, closed sides, and a closed bottom.

Governing Equations

[0195] In fluid mechanics, the flow of the water in an open channel having the presence of a free surface, such as the flow in river, is described by Bernoulli's principle. The principle states that an increase in water velocity occurs simultaneously with a decrease in pressure, or decrease in potential energy. It is derived from the law of conservation of energy stating that total energy of an isolated system remains constant. Assuming water as an incompressible fluid (i.e. ρ=const.), Bernoulli's principle expresses conservation of mechanical energy, since there is no change of internal fluid energy.

[0196] The equation shown in FIG. 29 represents the governing equation of fluid flow in fluid mechanics, also known as the famous Bernoulli equation for stationary flow of an ideal incompressible fluid. It is valid for irrotational water flow along the streamline, and applies for both open and closed water flows.

[0197] According to Bernoulli's equation, the relation that expresses the dynamics of an ideal fluid in motion at two distant cross sections of the water flow in an open channel is shown in FIG. 30.

[0198] The equation shown in FIG. 30 implies that the change of the water flow velocity, from v.sub.1 at the inlet section to v.sub.2 at the outlet section, corresponds to the difference in geodetic height of the water flow free surface at the inlet and the outlet section h.sub.1-h.sub.2. In other words, unless another form of artificial energy is introduced to the water flow in an open channel at the inlet section, water flow cannot be accelerated at the outlet without the presence of falling height.

[0199] Due to the effects of water viscosity, the hydrodynamic resistance to water flow occurs, and the Bernoulli equation shown in FIG. 29 takes a somewhat modified form, as shown in FIG. 31 and illustrated in FIG. 32.

[0200] Following the equation shown in FIG. 31, the expression for energetic balance of viscous water flow at two distinct cross-sections in an open channel (FIG. 36) is shown in FIG. 33.

Hydropower

[0201] Hydropower represents flow rate of mechanical energy contained within water flow. Its potential has been used for centuries by various systems and devices for the purpose of generation of different forms of power. Generally, hydropower depends on available total energetic height H of the water flow, also called the head, and volumetric flow rate of the water Q, as shown in FIG. 34. Head is usually expressed as a sum of its static and dynamic component. Static head component refers to available water flow gravitational potential, implicating more hydropower at higher geodetic water flow sites. Dynamic head component refers to available water flow kinetic potential, implicating more hydropower at higher water flow velocities. Volumetric flow rate of water depends on hydrological conditions at an exact site location. Hydropower available within water flow at certain cross section normal to water flow is given by the equation shown in FIG. 5.

Operational Range of Particular Hydropower Systems

[0202] FIG. 35 shows an estimate of operational range applicable to particular hydropower systems and devices, in terms of available head H and rate of the water flow Q. Operational range of a traditional undershot paddle wheel is marked with rectangle at the very bottom of the head axis.

[0203] According to FIG. 35, traditional undershot paddle wheels are applicable at low head sites (low ground) in the head range of 0≦H≦0.5 m and flow rate range of 0.05≦Q≦5 m.sup.3/s. Following the cross lines of constant hydropower, it can be noticed that the operational range of undershot paddle wheels covers the bottom region of hydropower, from its lowest values of less than 1 kW up to 20 kW maximum. While minor deviations of this range are possible for a particular wheel design case, FIG. 35 represents fairly good and reliable estimate of undershot paddle wheel operational range.

[0204] If power output and economics of the very low head hydropower potential are to be improved in the future, the DEMAND region indicated in FIG. 35 must be targeted with new technologies.

Undershot Water Wheel Physics

[0205] Analysis of traditional undershot paddle wheel physics and assessment of basic quantities such as force load, torque load, hydraulic power, and efficiency follows simple and comprehensive approach.

General Assumptions

[0206] The water flow is assumed steady, non-viscous, and irrotational such that streamlines may be considered parallel, as shown in FIG. 36. For the purpose of simplicity, lets assume that the paddle wheel radius R is very large so that water flow direction is normal to the paddle wheel paddle area Ap at each instant of time, and that the water flow entering the wheel paddles v.sub.in, as well as water flow leaving the wheel paddles v.sub.out have constant values. For such a flow, values of force and torque load acting on the paddle wheel may be considered constant as well, so that momentum of the water flow delivered to the paddle wheel paddles turns the wheel rotating at constant rate of turn ω=const.

Force and Torque Load

[0207] The outlet velocity of the water is given by the equation shown in FIG. 37. The mass flow rate of the water pressing against the wheel paddles is shown in FIG. 38.

[0208] Considering Newton's second law of motion, the force exerted by the water against the wheel paddles is shown in FIG. 39. The torque load at the paddle wheel axis exerted by water force acting on the paddles is shown in FIG. 40. Substituting the equation shown in FIG. 39 into the equation shown in FIG. 40, the above equation for paddle wheel torque load can be expressed, as shown in FIG. 41.

Input Power

[0209] The traditional undershot paddle wheel device draws power from the dynamic head component of the water flow acting on the wheel paddles, making use of its kinetic energy only. Since water flow passing the wheel paddles exits the system into the water flow of same geodetic height (i.e. back into the river), static head contained in water flow remains unused. For such system, available head is shown in FIG. 42.

[0210] Substituting the equation shown in FIG. 42 into the equation shown in FIG. 34, you get the expression for input power to the paddle wheel system shown in FIG. 43. If you substitute the volumetric water flow rate Q with the expression shown in FIG. 44, the equation for input power takes on the familiar analytical form in fluid mechanics shown in FIG. 45.

Hydraulic Power

[0211] The hydraulic power utilized by the paddle wheel system is given by the equation shown in FIG. 46.

[0212] Substituting the equation shown in FIG. 39 into the equation shown in FIG. 46, the hydraulic power of the paddle wheel can be written as shown in FIG. 47.

Hydraulic Efficiency

[0213] To find the maximum hydraulic efficiency of the traditional undershot paddle wheel and assess the amount of hydropower the paddle wheel can use to generate electricity, let us first express water velocity v.sub.out at the outlet section of the paddle wheel system as a function of the inlet velocity v.sub.in, as shown in FIG. 48.

[0214] Substituting the expression shown in FIG. 48 into the equations shown in FIG. 39, FIG. 41, and FIG. 47, you obtain the equations for paddle wheel force load, torque load, and hydraulic power at the paddle wheel axis shown in FIGS. 49-51.

[0215] Hydraulic efficiency of the paddle wheel is defined as the ratio between hydraulic and input power shown in FIG. 52.

[0216] Substituting the equations shown in FIGS. 45 and 51 into the equation shown in FIG. 52, you obtain the equation for paddle wheel efficiency shown in FIG. 53.

[0217] From the equation shown in FIG. 53, it is clear that the hydraulic efficiency m, depends on the ratio between the outlet and inlet water velocity x.

[0218] The derivation of the equation shown in FIG. 53 gives the equation shown in FIG. 54 having the extremes shown in FIG. 55.

[0219] Since the solutions of x=1 implies v.sub.out=v.sub.in (i.e. no change in velocities at system inlet and outlet), and therefore no momentum delivered to paddle wheel at all, it is obvious that the maximum hydraulic efficiency of the paddle wheel occurs for x=⅓, at the outlet velocity corresponding to the equation shown in FIG. 56.

[0220] Substituting x=⅓ into the equation shown in FIG. 53, you obtain the maximum theoretical hydraulic efficiency of the traditional undershot paddle wheel shown the equation of FIG. 57.

[0221] The corresponding paddle wheel force load (FIG. 49), the torque load (FIG. 50, and the hydraulic power (FIG. 51) of the paddle wheel can be expressed in the equations shown in FIGS. 58-60.

Mechanical Power and Mechanical Efficiency

[0222] The mechanical power at the paddle wheel axis represents the paddle wheel power which can be further used for various purposes (e.g. mills, pumps, electric generators, etc.), and it accounts for all mechanical losses within the system (i.e. friction in paddle wheel bearings). It can be expressed in the equation shown in FIG. 61.

Equation of Motion

[0223] The equation of motion of the paddle wheel is the equation shown in FIG. 62.

[0224] For a paddle wheel rotating at constant angular velocity ω=constant, angular acceleration is ω=0 rad/s.sup.2, and the equation shown in FIG. 62 can be written in the equation shown in FIG. 63.

Practical Considerations

[0225] In an attempt to perceive paddle wheel operation in reality, you have to consider general assumptions made throughout the analysis.

Effect of Finite Paddle Wheel Radius

[0226] The periodical immersion and surfacing of the paddles through water for a paddle wheel of the finite radius R, implicate periodical variation of paddle area normal to the direction of the water flow. Furthermore, simultaneously active paddles interfere strongly with each other, blocking and deforming incoming water velocity distribution to one another. The force load acting against the paddles reduces while momentum of the water delivered to paddle wheel periodically oscillates in time. Thus, the mean values of paddle wheel force and torque have to be considered, consequently reducing the paddle wheel hydraulic power and efficiency given by the equations shown in FIGS. 46 and 52, respectively.

Effects of Water Viscosity

[0227] The effects of viscous fluid flow characteristics implicate presence of extremely complicated unsteady flow patterns with boundary layer and local disturbances at both the inlet and outlet section of the system. If you further consider the influence of particular paddle wheel design parameters, such as paddle shapes, their number, paddle wheel radius, rate of turn, and Reynolds number of the flow regime, the overall influence of viscous water flow effects is practically impossible to generalize.

[0228] It is obvious however, that water viscosity affects force load acting against the paddles, and that additional energy losses occur in the system (i.e. due to water splashing that occurs more vigorously at higher water flow velocities and higher rates of turn of the paddle wheel), both reducing the estimates.

Design Efficiency

[0229] In search of the optimal solution for a particular paddle wheel design, scientists and engineers from all around the world have been investing significant efforts into experimental and lately numerical investigations proving developed theories and providing empirical relations that can be used as rules of thumbs.

[0230] Reckoning their findings, a good engineering estimation of mechanical efficiency for traditional under shot paddle wheel can be taken as:

η.sub.m=0.2

representing two thirds of the maximum hydraulic efficiency estimated by the equation shown in FIG. 57. This value of paddle wheel efficiency is very close to Smeaton's figure of η=0.22. For a carefully designed paddle wheel with respect to its optimal operational parameters (i.e. rate of turn), paddle wheel mechanical efficiency of η.sub.m=0.2 empirically accounts all of the above mentioned effects difficult to predict analytically at an early design stage. However, in compliance with mentioned above, value of η.sub.m=0.2 has to be considered as an estimate at design startup, and can be found in the range of 0.18<η.sub.m<0.22 for the final design solution.

Application to Floating Power Generator

[0231] According to the concept of the Floating Power Generator, mechanical power at paddle wheel axis needs to be transformed into electrical power by electric generator. Following approach presented in previous chapter, several terms and modifications need to be addressed in the scope of this chapter.

Electrical Power and Total Efficiency

[0232] The electrical efficiency of the Floating Power Generator accounts for all electrical losses within system (i.e. due to electric generator). Thus, the electrical power generated by the paddle wheel can be expressed by the equation shown in FIG. 65.

[0233] Assuming ideal frictionless paddle wheel bearings (η.sub.f=1), the ideal electrical efficiency (η.sub.el=1), and maximum theoretical hydraulic efficiency of the paddle wheel (η.sub.h,max= 8/27), you obtain the expression for maximum theoretical electrical power generated by the Floating Power Generator shown in FIG. 66.

Annual Production of Electrical Energy

[0234] The annual production of electrical energy can be expressed as shown in FIG. 67.

[0235] Assuming full time operation of the Floating Power Generator during the year (24 hours/365 days per year) and generation of maximum theoretical electric power, by substituting the equation shown in FIG. 66 into FIG. 67, you obtain the expression for maximum theoretical annual production of electrical energy as shown in FIG. 68.

Modified Equation of Motion

[0236] With respect to the Floating Power Generator, the equations shown in FIGS. 62 and 63 have to be slightly modified. Introducing torque load due to electrical components in the system, the equation of motion can be shown in FIG. 69.

[0237] For a wheel rotating at constant angular velocity ω=constant, and the equation shown in FIG. 69 can be written as the equation shown in FIG. 70.

Analytical Calculations

[0238] For the purpose of a Floating Power Generator assessment in terms of its potential to generate electrical power, analytical calculations of principal quantities were performed based on the above equations. The calculations account for theoretical maximum of generated electrical power in the equation shown in FIG. 71.

[0239] All calculated quantities are presented through tables and diagrams, with respect to water flow velocity v.sub.in and wheel paddle area A.sub.p as input parameters. Range of 0.3<v.sub.in<10.0 m/s and 0.01<A.sub.p<100 m.sup.2 were investigated, covering undershot paddle wheel range of operation far beyond reasonable limits.

[0240] The following quantities were calculated:

[0241] 1. Input power P.sub.in according to the equation shown in FIG. 45, and presented in the table shown in FIG. 72 and the graph shown in FIG. 73.

[0242] 2. Force load according to the equation shown in FIG. 58, and presented in the table shown in FIG. 74 and the graph shown in FIG. 75.

[0243] 3. Electrical power P.sub.el,max according to the equation shown in FIG. 66, and presented in the table shown in FIG. 76 and the graph shown in FIG. 77.

[0244] 4. Annual production of electrical energy E.sub.el, max according to equation shown in FIG. 68, and presented in the table shown in FIG. 78 and the graph shown in FIG. 79.

Hat Type Floating Power Generator

[0245] A floating power generator 610 having a horizontal axial turbine (HAT) 620 is shown in FIG. 80. The horizontal axial turbine 620 comprises blades 628 support on a floating mast 618. For example, the floating mast 618 including floats or pontoons (not shown) supporting same on the surface of the water.

[0246] HAT uses kinetic energy of open stream water flow. It can be compared with a wind power turbine. Both applications comprise two or three bladed turbines rotating in open fluid flow, and require large dimensions of turbines to reach economically satisfying electrical power values. The main differences are in velocity and density of the working media. While wind velocity reaches approximately 5 times higher values than water velocity, water density is 830 times larger than density of the air. Therefore, HAT operating within water stream requires considerably smaller rotor disc area for the same amount of generated power.

[0247] Referencing relatively low value of maximum theoretical hydraulic efficiency of η.sub.h, max=0.296 for a waterwheel, application of the horizontal axial turbine yields significant improvement in hydraulic efficiency, reaching double maximum value of η.sub.h, max=0.593. In order to obtain the size of HAT diameter, following expressions shown in FIGS. 81 and 82.

[0248] The floating power generator can have multiple HATs on a single supporting structure, reducing investment and maintenance costs. Further enhancement of the turbine output can be achieved by application of rotor shrouds, where the controllable blade pitch ensures optimal operational conditions with respect to the velocity of water flow.

[0249] However, at least four new challenges pop up by replacing a waterwheel with a HAT, including: [0250] 1) Immerged HAT requires wider and deeper rivers; [0251] 2) As large rivers are usually important waterways, floating barges with underwater construction require a number of approvals from appropriate authorities; [0252] 3) Anchoring system is quite demanding due the massive construction and fact that the river or channel bottom is usually very muddy; and [0253] 4) To satisfy safety and ecological issues, floating barges should have some grid shield directly around or in front of the HAT, causing additional hydropower losses and cost increase.

Floating Power Generator Calculator

[0254] A floating power generator calculator for the paddle wheel type floating power generator is shown in FIG. 84.

[0255] A floating power generator calculator for the horizontal axle turbine (HAT) type power generator is shown in FIG. 85.

Vertical Turbine

[0256] A horizontal turbine type floating power generator 710 comprising a floating platform 712 having a funnel-shaped flow passageway FP connected to a vertical turbine 720, is shown in FIG. 86. The funnel-shape flow passageway tapers inwardly in both the height and width in the flow direction continuously increasing the flow speed reaching the vertical turbine.

Fixed Blade Turbine

[0257] As an example the turbine can have fixed blades, angled, in order to exit the water without much friction, while still providing the power necessary.

[0258] The angled blades can be much more numerous than here, perhaps numbering in hundreds and by angling them in the direction of the wheel movement, it can minimize the water friction, and weight, which tends to slow the wheel. This way it can gain more speed and power.