1. 1 Apuntes de Tubomáquinas / 2014-2 Ing. Hipólito Rodríguez B2.2.4 Hydropower system design Turbines: Greek mill (c. 100BC) Apuntes de Tubomáquinas / 2014-2 Ing. Hipólito Rodríguez

2. 2 B2.2.4 Hydropower system design Turbines:Mesopotamian Saquia (c. 1200 AD) the Book of Knowledge of Ingenious Mechanical Devices of al-Jahazi

3. 3 B2.2.4 Hydropower system design Turbines: Water wheels (c. 1800) 1-50kW

4. 4 B2.2.4 Hydropower system design Turbines: Fourneyron’s turbine (1832)

5. 5 B2.Hydropower Seminars A206a Read summary of case studies –Nepal –Peru Discussion –What were the good and bad projects –What makes a “good project” –What were the social benefits of the projects? Were these valued? –Who benefits and who loses

6. 6 B2.Reservoirs Seminar groups Group 1 (14:00)Group 2 (14:30) Gunjan Dhingra Mike Farrow Hannah Jones Matt Knight Paul Knowles Peter Adams Elizabeth Aldridge Jonathan Bailey Khesraw Bashir Christopher Baxter Richard Buckland Dafydd Caffery Samuel Carter Nedim Dzananovic Philip Hallgarth Neil Harding Martin Hill Karen Hockey Ching Hong Adam Ithier Peter Jordan Jan Jozefowski Rob Morford Chris Swinburn Kate Taylor Celia Way Marie Wells Matt Whitley Eral Kahveci Imra Karimn Martin Kendrick Shua Lii Beth Mcdowall Adil Munir Roger Palmer Anthony Pearson Gareth Pilmoor Ann Ruthven Matthew Scott Ben Sheterline Melanie Sim Nicholas Thompson Daniel Tkotsch Christopher Tompkins Ian Yeung

7. 7 B2.2.4 Hydropower system design Turbines: Power conversion

8. 8

9. 9 v r1 v r2 B2.2.4 Hydropower system design Turbines: Power conversion:Velocity triangles Rotation u1u1 u2u2 v1v1 v2v2 R1R1 R2R2 11 11 11 22

10. 10 B2.2.4 Hydropower system design Turbines: Impulse –Pelton wheel –Turgo –Crossflow Reaction –Radial (e.g. Francis) –Axial (e.g. propeller, bulb, Kaplan)

11. 11 B2.2.4 Hydropower system design Turbines: Pelton wheel (1889)

12. 12 B2.2.4 Hydropower system design Turbines: Pelton wheel

13. 13 B2.2.4 Hydropower system design Turbines: Pelton wheel

14. 14 B2.2.4 Hydropower system design Turbines: Pelton wheel

15. 15 B2.2.4 Hydropower system design Turbines: Pelton wheel Rotation v 1 (jet velocity)= v r1 u1u1 R1R1 u 2 = u 1 v2v2 v r2 R 2 = R 1 

16. 16 B2.2.4 Hydropower system design Turbines: Pelton wheel

17. 17 B2.2.4 Hydropower system design Turbines: Pelton wheel:Jet 0.94-0.98

18. 18 B2.2.4 Hydropower system design Turbines: Pelton wheel

19. 19 B2.2.4 Hydropower system design Turbines: Pelton wheel: Multi jet

20. 20 B2.2.4 Hydropower system design Turbines: Pelton wheel: Multi jet Higher rotational speed Smaller runner Simple flow control possible Redundancy Can cope with a large range of flows But Needs complex manifold May make control/governing complex

21. 21 B2.1.4 Fundamentals of Hydro power Yields and economics: Flow-duration curve 8,500 kWh/m head 4,000 kWh/m head 17,000 kWh/m head

22. 22 B2.2.4 Hydropower system design Turbines: Pelton wheel: Sri Lankan

23. 23 B2.2.4 Hydropower system design Turbines: Turgo (1904)

24. 24 B2.2.4 Hydropower system design Turbines: Turgo

25. 25 B2.2.4 Hydropower system design Turbines: Turgo

26. 26 B2.2.4 Hydropower system design Turbines: Turgo

27. 27 22 B2.2.4 Hydropower system design Turbines: Turgo Rotation v 1 (jet velocity) v r2 v2v2 u 2 = u 1 u1u1 R1R1 R 2 = R 1 11 v r1  1 =20 

28. 28 B2.2.4 Hydropower system design Turbines: Turgo: MPPU – based on Nepali Ghatta

29. 29 B2.2.4 Hydropower system design Turbines: Crossflow (1941)

30. 30 B2.2.4 Hydropower system design Turbines: Crossflow

31. 31 B2.2.4 Hydropower system design Turbines: Crossflow: Panama

32. 32 B2.2.4 Hydropower system design Turbines: Crossflow

33. 33 B2.2.4 Hydropower system design Turbines: Francis (1849)

34. 34 B2.2.4 Hydropower system design Turbines: Francis

35. 35 B2.2.4 Hydropower system design Turbines: Francis

36. 36 B2.2.4 Hydropower system design Turbines: Francis

37. 37 B2.2.4 Hydropower system design Turbines: Francis

38. 38 v r1 v r2 B2.2.4 Hydropower system design Turbines: Francis Rotation u1u1 u2u2 v1v1 v2v2 R1R1 R 2 = R 1 11 11 11 22

39. 39 B2.2.4 Hydropower system design Turbines: Propeller

40. 40 B2.2.4 Hydropower system design Turbines: Propeller

41. 41 B2.2.4 Hydropower system design Turbines: Propeller R1R1 v2v2 R 2 = R 1 u1u1 u 2 = u 1 v r2 Rotation v1v1

42. 42 B2.2.4 Hydropower system design Turbines: Kaplan (1913)

43. 43 B2.2.4 Hydropower system design Turbines: Kaplan

44. 44 B2.2.4 Hydropower system design Turbines: siting propellers

45. 45 B2.2.4 Hydropower system design Turbines: Water current (1980)

46. 46 B2.2.4 Hydropower system design Turbines: Water current

47. 47 B2.2.4 Hydropower system design Turbines: Characterising turbines

48. 48 B2.2.4 Hydropower system design Turbines: Characterising turbines

49. 49 B2.2.4 Hydropower system design Turbines: Characterising turbines

50. 50 C Q = flow coefficient C H = head coefficient C P = power coefficient Q = discharge N = rotational speed D = diameter g = gravity H = head P = power  = density B2.2.4 Hydropower system design Turbines: Characterising turbines: Dimensionless groups

51. 51 N sp = Specific speed C H = head coefficient C P = power coefficient N = rotational speed P = power  = density g = gravity H = head B2.2.4 Hydropower system design Turbines: Characterising turbines: Dimensionless groups:Specific speed

52. 52 B2.2.4 Hydropower system design Turbines: Characterising turbines: Specific speed: Dimensional specific speed TypeTypical head RadRevMetricBritish Pelton>300<0.2<0.03<30<10 Francis500-300.25-1.30.04-0.250-25010-60 Kaplan50-42-60.3-1360- 1200 100-300

53. 53 B2.2.4 Hydropower system design Turbines: Characterising turbines

54. 54 B2.2.4 Hydropower system design Turbines: Characterising turbines

55. 55 B2.2.4 Hydropower system design Turbines: Cavitation

56. 56 B2.2.4 Hydropower system design Turbines: Cavitation

57. 57 B2.2.4 Hydropower system design Turbines: Cavitation

58. 58 B2.2.4 Hydropower system design Turbines: L-1 propeller turbine designed for minimal cavitation

59. 59 B2.2.4 Hydropower system design Turbines: L-1 propeller turbine designed for minimal cavitation after 25,000 hours

60. 60 = Thoma number p a = atmospheric pressure p v = vapour pressure h s = elevation above tailwater H = total head  = density g = gravity B2.2.4 Hydropower system design Turbines: Cavitation: Thoma number

61. 61 B2.2.4 Hydropower system design Turbines: Cavitation: Critical Thoma number