Lecture 35 November 20
ECEN2060
Frank Barnes
Home works
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Home work, Wednesday Nov. 20th
7.1, 7.2, 7.3, 7.4, 7.5
Home work for Monday Dec 2, 2013
7.7,7.10,7.11, 7.12, 7.13
Also plan on getting started on your term
paper.
• Home work for chapter 8 Friday Dec 6,
• 8.1,8.5.8.6, 8.8, 8.10,8.11
Energy In a Wave
• The power in a sine wave with Height H and
period T
2
2
g H T
»P=
32
• For H =3m and T=8sec
• P= 70.5kW/m
• Note the density of
water is ρ  1,025kg/m3
Systems for Extracting Energy from
Waves
Variations Wave Shapes and Heights
Distributions of Wave Heights and
Periods.
Wave Power Available in kWh/m/yr
Near San Francisco
Wave Energy Estimates
Variations in Wave Power with
Time of Year
Wave Power Results for a 1MW
Generator in kW
Annual Energy MWh/yr for Site Near
San Francisco
Wind and Wave Generators Colocated
off Shore
Two Tidal Generators.
Tides and Position of the Moon
Variations with Time of Year
Variation of Tides
Velocity of Tidal Currents and Available Power ~ v3
• 1. Note Betz limit applies at 59.3% to the
fraction of the power that can be used of the
4 1
half sine wave P=3π(2ρAVm3)
Common Mixed Tidal Currents Over a
Day
Cut In and Rated Speed
Surface Tidal Speed Probability
Distribution Tacoma Narrows
Estimated Energy Delivered For a
Turbine Rated at 600kW
Hydropower Run of the River
Power Plant
• 1. Potential energy from ΔH and kinetic energy
2
𝑃
v
2
from v energy head = z + γ + 2𝑔
• Z= height
P = pressure
• γ= Specific Weight v = velocity
• g = gravitational constant.
Power Plant
Conversion Factors
Pelton Turbine
Angle Drive Propeller Reaction Turbine
Net Head after Friction Loss
Friction Head Loss vs Flow Rate for
Small Pipes
Weir For Measuring Flow
• 1. Q = 1.8 (W- 0.2h)h1.5(m3 /s)
Electrical Block Diagram for Micro
Hydro System
Pumped Hydro System
Raccoon Mountain
Raccoon Mountain
Two Penstock Pumped Hydro System
Biomass Gasification Process
Geothermal Plants
Binary Geothermal System