SlideShare a Scribd company logo
1 of 43
Energy storage systems
Pumped Hydro Energy Storage System
Dr. Mohamed Hassanain
Pumped-Hydro Energy Storage
 Potential energy
storage in
elevated mass is
the basis for
pumped-hydro
energy storage
(PHES)
Energy used to
pump water from
a lower reservoir to

an upper reservoir
Electrical energy input
mechanical energy
Pumps transfer energy
potential energy
to motors converted to rotational

to the water as kinetic, then

Pumped-Hydro Energy Storage
 Energy stored in
the water of the
upper reservoir is
released as water
flows to the lower
reservoir
Potential energy
converted to
kinetic energy
Kinetic energy of falling

water turns a turbine

Turbine turns a generator
Generator converts mechanical energy to electrical

energy

Pumped-Hydro Energy Storage
• Typically, pumping would take place
by buying electricity during times
when prices are low, which is when
demand is low or the availability of
electricity from other sources is high
(e.g. a windy and sunny day).
• Generation would take place during
times of high demand (such as
during evenings) when prices are
high. This pattern of buy-low and
sell-high is called arbitrage.
• The power companies make a lot of
money by selling the generated power
during peak hours at higher rates.
• Typically, pumping would take place by buying
electricity during times when prices are low,
which is when demand is low or the availability of
electricity from other sources is high (e.g. a windy
and sunny day).
• Generation would take place during times of high
demand (such as during evenings) when prices
are high. This pattern of buy-low and sell-high is
called arbitrage.
• The power companies make a lot of money by selling
the generated power during peak hours at higher
rates.
Pumped Storage Hydro Power Plants
HISTORICAL DEVELOPMENT
The history of pumped storage plant can be traced as far back
1st
as 1882, in which year the hydroelectric plant making use of
pumped storage started functioning at Zurich in Switzerland.
1st
In 1931, the reversible pump-turbine was installed at
Baldeneyesee in Germany.
1st
The major reversible diagonal turbine (Deriaz) was
installed at Niagara in 1955.
In Europe, in 1962, Ffestiniog (Great Britain) with a total
capacity of 360 MW and Provindenza (Italy) with a head of
284 m, were the major landmarks in the progress of pumped
storage plants.
Conventional river-based PHES (open-loop)
• Many existing PHES systems have been
developed in conjunction with a
conventional river-based hydroelectric
system.
• Two reservoirs are created, at different
altitudes, but close to each other.
• Often, the lower reservoir is large and
located on a substantial river, while the
upper reservoir is smaller, and located
higher up on the same river or in a
high tributary or parallel valley.
• Most river water passes through the
system, generating electricity, and
then flows on down the river. Some
water is cycled between the two
reservoirs to create energy storage.
• There are alternative methods of constructing
PHES that do not require significant
modification to river systems. One method is to
connect closely spaced existing reservoirs using
underground tunnels and powerhouses. With
care, there is low disturbance at the surface
• An off-river PHES system comprises a pair of
artificial reservoirs spaced several kilometers
apart, located at different altitudes, and
connected with a combination of aqueducts,
pipes and tunnels.
• The reservoirs can be specially constructed
('greenfield') or can utilize old mining sites or
existing reservoirs ('brownfield’).
• Off-river PHES utilizes conventional
hydroelectric technology for construction of
reservoirs, tunnels, pipes, powerhouse,
electromechanical equipment, control systems,
switchyard and transmission, but in a novel
configuration.
Off-river (closed-loop) pumped hydro systems
• An off-river PHES system has the advantage that flood
mitigation costs are minimal compared with a river-based
PHES system.
• Heads are generally better than river-based systems
because the upper reservoir can be on a high hill rather
than higher in the same valley as the lower reservoir.
• Environmental costs of damming rivers are avoided with
off-river PHES, which helps with social acceptance.
• The much greater number of off-river sites compared with
on-river sites allows much wider site choice from
environmental, social, geological, hydrological, logistical
and other points of view.
• Another advantage is that construction of off-river
pumped hydro can be much faster than other storage
methods
• Work can proceed in parallel on the two reservoirs, the
water conveyance, the powerhouse and the transmission
Off-river PHES vs river-based PHES
• The first requirement is to find places where reservoirs can be constructed that store a large amount of water
compared with amount of rock and other material used to construct the reservoir walls.
• The second requirement is to find closely spaced pairs of sites that have large differences in altitude ('head').
The former requirement is because pipes and tunnels connecting the two reservoirs are expensive, and the
latter requirement is because doubling the head doubles the storage energy volume and storage power
capacity but does not double the system cost.
Off-river PHES location requirement
Components of a PHES Plant
Lower
reservoir
PHES Components – Reservoirs

 Upper and lower
reservoirs separated by
an elevation difference
 Two configurations:
Open-loop:
 At least one of the
reservoirs connected to a
source of natural inflow
 Natural lake, river, river-fed reservoir, the sea
Closed-loop:
 Neither reservoir has a natural source of inflow
 Initial filling and compensation of leakage and evaporation
provided by ground water wells
 Less common than open-loop


PHES Components – Penstock
 Penstock
Conduit for water flowing
between reservoirs and to
the pump/generator
Above-ground pipes or
below ground shafts/tunnels
 5 -10 m diameter is common
 One plant may have several penstocks
 Typically steel- or concrete-lined, though may be unlined
Flow velocity range of 1 – 5 m/s is common
Tradeoff between cost and efficiency for a given flow rate,
 Larger cross-sectional area:
 Slower flow
 Lower loss
 Higher cost



 𝑄
𝑄
PHES Components
 Tailrace tunnel
 Typically, larger diameter
than penstocks
 Lower pressure
 Lower flow rate
 Downward slope from lower
reservoir to pump/turbine
 Inlet head helps prevent
cavitation in pumping mode
 Surge tanks
 Accumulator tanks to absorb high pressure transients during
startup and mode changeover
 May be located on penstock or tailrace
 Especially important for longer tunnels
 Hydraulic bypass capacitors
PHES Components – Power House
 Power house
Contains pump/turbines
and motor/generators
Often underground
Typically below the level
of the lower reservoir to
provide required pump
inlet head
Three possible configurations
 Binary set: one pump/turbine and one motor/generator
 Ternary set: one pump, one turbine, and one motor/generator
 Quaternary set: separate pump, turbine, motor, and generator




Power Plant Configurations – Quaternary Set
 Quaternary set
Pump driven by a motor
Generator driven by a turbine
Pump and turbine are
completely decoupled
Possibly separate
penstocks/tailrace tunnels
Most common configuration
prior to 1920
High equipment/infrastructure
costs
High efficiency
 Pump and turbine designed to
optimize individual performance







Power Plant Configurations – Ternary Set
 Ternary set
Pump, turbine, and
motor/generator all on a single
shaft
 Pump and turbine rotate in the
same direction
Turbine rigidly coupled to the
motor/generator
Pump coupled to shaft with a
clutch
Popular design 1920 – 1960s
Nowadays, used when head exceeds
stage pump/turbine




the usable range of a single-

 High-head turbines (e.g., Pelton) can be used
Pump and turbine designs can be individually optimized

Power Plant Configurations – Ternary Set
 Ternary set
Generating mode:
 Turbine spins generator
 Pump decoupled from the shaft
and isolated with valves
Pumping mode:
 Motor turns the pump
 Turbine spins in air, isolated with
valves
Both turbine and pump can
operate simultaneously
Turbine can be used for pump startup
 Both spin in the same direction
 Turbine brings pump up to speed and synchronized with grid, then
shuts down
 Changeover time reduced




Power Plant Configurations – Binary Set
 Binary set
Single reversible
pump/turbine coupled to a
single motor/generator
Most popular configuration
for modern PHES
Lowest cost configuration
 Less equipment
 Simplified hydraulic pathways
 Fewer valves, gates, controls, etc.
Lower efficiency than for ternary or



quaternary sets

 Pump/turbine runner design is a compromise between pump and
turbine performance
Power Plant Configurations – Binary Set
 Binary set
Rotation is in opposite
directions for pumping and
generating
Shaft and motor/generator
must change directions
when changing modes
 Slower changeover than for
Pump startup:


ternary or quaternary units

 Pump/turbine runner dewatered and spinning in air
 Motor brings pump up to speed and in synchronism with
grid before pumping of water begins
the
Turbines
 Hydro turbine design selection based on
 Head
 Flow rate
 PHES plants are typically sited to have large
 Energy density is proportional to head
 Typically 100s of meters
 Reversible Francis pump/turbine
 Most common turbine for PHES applications
head
 Single-stage pump/turbines operate with heads up to
 For higher head:
 Multi-stage pump/turbines
 Ternary units with Pelton turbines
700 m
Turbine Selection
Source: rivers.bee.oregonstate.edu/turbine-sizing
Francis Turbine – Components
 Volute casing (scroll casing)
Spiral casing that feeds
water from the penstock
to the turbine runner
Cross-sectional area
decreases along the
length of the casing
 Constant flow rate
maintained along the
length

Francis turbine casing – Grand Coulee:

Francis Turbine – Components
 Guide vanes and stay vanes
Direct water flow from the casing into the runner
Stay vanes are fixed
Guide vanes, or wicket gates, are adjustable



Open and close to control flow rate
Power output modulated by controlling flow rate
Set fully open for pumping mode



Source: Stahlkocher Source: Stahlkocher
Francis Turbine – Components
 Turbine runner
 Reaction turbine
 Pressure energy is extracted from
the flow
 Pressure drops as flow passes
through the runner
 Flow enters radially
 Flow exits axially
 Typically oriented with a
vertical shaft
 Draft tube
 Diffuser that guides exiting
to the tailrace
flow
Source: Voith Siemens Hydro Power
High-Head PHES
Two-stage pump/turbine:
 Options for heads in
excess of 700 m:
Two-stage Francis
pump/turbines
 Typically no wicket gates
two-stage configuration

in
 No mechanism for varying
generating power
Ternary unit with Pelton
turbine

Source: Alstom
Pelton Turbines
 Pelton Turbine
Suitable for heads up to 1000 m
Impulse turbine
 Nozzles convert pressure energy to kinetic
energy
 High-velocity jets impinge on the runner at
atmospheric pressure
 Kinetic energy
transferred to the
runner
 Water exits the turbine
at low velocity
Cannot be used for
pumping
 Used as part of a
ternary set


Source: BFL Hydro Power

Source: Alstom
PHES Losses
 Typical losses for PHES:
ADVANTAGES
Relatively low capital cost; thus economic source of
peaking capacity.
Rugged & dependable; can pick up load rapidly in a matter
of few minutes.
Readily adaptable to automation as well as remote-control.
Hydel power is free from effects of environmental
pollution—thus contributing a part in curbing air & water
pollution.
ADVANTAGES
Allow great deal of flexibility in operational schedules of
system.
Power required for pumping is available at a cheaper rate(slack
hours’ rate); power produced can be sold at prime rate(peak
hours’ rate) - this compensates the low hydraulic efficiency.
They allow entire thermal or nuclear power generation to take
up base load; thus load factor improves giving overall greater
system efficiency.
Little effect on the landscape.
ADVANTAGES
Disadvantages of PHES
 Disadvantages of PHES
 Environmental issues
 Water usage
 River/habitat disruption
 Head variation
 Pressure drops as upper reservoir drains
 Efficiency may vary throughout charge/discharge cycle
 Particularly an issue for lower-head plants with steep, narrow upper
reservoirs
 Siting options are limited
 Available water
 Favorable topography
 Large land area
 Possible alternative potential
 Rail energy storage
energy storage:
OBLEMS OF
PR OPERATION
Once it's used, it can't be used again until the water is
pumped back up.
Cavitation problems; powerhouse location has to be so fixed
that pump operates under submerged conditions(magnitude
depends on specific speed & net head).
Reversing of direction of flow gives rise to runner cracking
due to fatigue.
Trash racks vibrate violently during pumping operation.
Flow during pumping mode tends to lift the machine axially
causing tensile stresses in bearings; specially guide vanes.
• Density=mass/volume
• W=m x g
• Density of water =1000Kg/m3
• hydraulic efficiency x electrical efficiency= overall efficiency
General Formulas
• The power that can be extracted from a waterfall depends upon its height
and rate of flow.
• The available hydro power can be calculated by the following equation:
• P= ρ*Q*g*h
• P=available water power[W]
• Q=water rate of flow [m3/s]
• h= head of water [m]
• Ρ = water density [ kg/ m3]
• g = 9.81 [m/s2]
Available Hydro Power
The energy used to pump a water volume (V) to a height (h)
with a specific pumping efficiency (ηp) is given by:
Epumping =
 · g · h · V
ηp
Overall efficiency of the energy storage system
= Egenerator / Epumping
The energy supplied to the electrical network by a generator
of efficiency (ηg) can be obtained by:
Egenerator =  · g · h · V · ηg
Ppumping =
 · g · h · Q
ηp
Pgenerator =  · g · h · Q · ηg
Pumped Hydro Energy
• A large hydropower station has a head of 324m and an average flow
of 1370m3/s. The reservoir of water covers an area of 6400Km2.
Calculate
• the available hydraulic power
• the number of days this power could be sustained if the level of the
impounded water were allowed to drop by 1m.
Example 1
• The available hydropower can be found using the equation
• P= ρ*Q*g*h
• P=1000*9.8 x 1370 x 324=4350MW
• (b) we have to find the number of days ?
• Using the 1 m drop we find the corresponding volume of water
• Volume = area x height =6400x106m2 x 1m=6400x106m3
Solution
• Rate of flow= 1370m3/s
• By looking at the units of rate of flow we can deduce that time in
seconds would be volume divide by rate of flow
• Q=V/t  t=V/Q
• t=6400x106/1370 = 4.67x106 s = 1298h =54 days
Solution
40
Assignment :
41
• Then the power cost of the pump, the revenue generated by the turbine, and the
net income (revenue minus cost) per year become
42
Solution
• Discussion It appears that this pump-turbine system has a potential annual
income of about $70,000. A decision on such a system will depend on the
initial cost of the system, its life, the operating and maintenance costs, the
interest rate, and the length of the contract period, among other things.
43
Solution

More Related Content

What's hot

Component of Hydro Power Plant
Component of Hydro Power PlantComponent of Hydro Power Plant
Component of Hydro Power PlantSatish Taji
 
Hydroelectric power plant
Hydroelectric power plant Hydroelectric power plant
Hydroelectric power plant Ravindra Kolhe
 
Energy resource: pumped storage system
Energy resource: pumped storage systemEnergy resource: pumped storage system
Energy resource: pumped storage systemBenjamin Kubwimana
 
Hydroelectric powerplant
Hydroelectric powerplantHydroelectric powerplant
Hydroelectric powerplantGurkirat Singh
 
Load on power system
Load on power systemLoad on power system
Load on power systemv Kalairajan
 
Hydroelectric energy
Hydroelectric energyHydroelectric energy
Hydroelectric energyLluetge
 
Hydro power-plant
Hydro power-plantHydro power-plant
Hydro power-plantpranavn007
 
Hydal power plant
Hydal power plantHydal power plant
Hydal power plantJUNAID SK
 
Combined operation of power plants
Combined operation of power plantsCombined operation of power plants
Combined operation of power plantsNishkam Dhiman
 
Hydrology & Site Selection of Hydro Power Plant
Hydrology & Site Selection of Hydro Power PlantHydrology & Site Selection of Hydro Power Plant
Hydrology & Site Selection of Hydro Power PlantParamjeet Singh Jamwal
 
Hydro electric power plant
Hydro electric power plantHydro electric power plant
Hydro electric power plantDr. Ramesh B
 
Hydroelectric power plant, hydro power plant ppt hydro powerplant pdf, dam wo...
Hydroelectric power plant, hydro power plant ppt hydro powerplant pdf, dam wo...Hydroelectric power plant, hydro power plant ppt hydro powerplant pdf, dam wo...
Hydroelectric power plant, hydro power plant ppt hydro powerplant pdf, dam wo...Aniket Raj
 

What's hot (20)

Component of Hydro Power Plant
Component of Hydro Power PlantComponent of Hydro Power Plant
Component of Hydro Power Plant
 
Hydroelectric power plant
Hydroelectric power plant Hydroelectric power plant
Hydroelectric power plant
 
Hydro power
Hydro powerHydro power
Hydro power
 
Energy resource: pumped storage system
Energy resource: pumped storage systemEnergy resource: pumped storage system
Energy resource: pumped storage system
 
Hydroelectric powerplant
Hydroelectric powerplantHydroelectric powerplant
Hydroelectric powerplant
 
TIDAL and WAVE POWER
TIDAL and WAVE  POWER TIDAL and WAVE  POWER
TIDAL and WAVE POWER
 
HYDRO POWER PLANT
HYDRO POWER PLANT HYDRO POWER PLANT
HYDRO POWER PLANT
 
Load on power system
Load on power systemLoad on power system
Load on power system
 
Hydroelectric energy
Hydroelectric energyHydroelectric energy
Hydroelectric energy
 
Hydro power-plant
Hydro power-plantHydro power-plant
Hydro power-plant
 
Pumped hydro storage
Pumped hydro storagePumped hydro storage
Pumped hydro storage
 
Hydro power plant
Hydro power plantHydro power plant
Hydro power plant
 
Hydro electric power plant
Hydro electric power plantHydro electric power plant
Hydro electric power plant
 
Hydal power plant
Hydal power plantHydal power plant
Hydal power plant
 
Combined operation of power plants
Combined operation of power plantsCombined operation of power plants
Combined operation of power plants
 
Hydrology & Site Selection of Hydro Power Plant
Hydrology & Site Selection of Hydro Power PlantHydrology & Site Selection of Hydro Power Plant
Hydrology & Site Selection of Hydro Power Plant
 
Hydro electric power plant
Hydro electric power plantHydro electric power plant
Hydro electric power plant
 
Hydroelectric power plant, hydro power plant ppt hydro powerplant pdf, dam wo...
Hydroelectric power plant, hydro power plant ppt hydro powerplant pdf, dam wo...Hydroelectric power plant, hydro power plant ppt hydro powerplant pdf, dam wo...
Hydroelectric power plant, hydro power plant ppt hydro powerplant pdf, dam wo...
 
Hydropower
HydropowerHydropower
Hydropower
 
Hydro power plant
Hydro power plantHydro power plant
Hydro power plant
 

Similar to pumped hydro energy storage system

lecture 2 - pumped hydro energy storge.pdf
lecture 2 - pumped hydro energy storge.pdflecture 2 - pumped hydro energy storge.pdf
lecture 2 - pumped hydro energy storge.pdfDinaSaad22
 
Unit 5 Energy engg.ppsx
Unit 5 Energy engg.ppsxUnit 5 Energy engg.ppsx
Unit 5 Energy engg.ppsxMohsinAnsari73
 
Basics of Hydro power plant
Basics of  Hydro power plant Basics of  Hydro power plant
Basics of Hydro power plant Prasad Vejendla
 
hydroelectricpowerm3-120625045759-phpapp01.pptx
hydroelectricpowerm3-120625045759-phpapp01.pptxhydroelectricpowerm3-120625045759-phpapp01.pptx
hydroelectricpowerm3-120625045759-phpapp01.pptxRaviKumar6132
 
Unit-4-POWER FROM RENEWABLE ENERGY.ppt
Unit-4-POWER FROM RENEWABLE ENERGY.pptUnit-4-POWER FROM RENEWABLE ENERGY.ppt
Unit-4-POWER FROM RENEWABLE ENERGY.pptdharma raja`
 
369353488-Hydropower-PPT-Water-Resources-Engineering.pptx
369353488-Hydropower-PPT-Water-Resources-Engineering.pptx369353488-Hydropower-PPT-Water-Resources-Engineering.pptx
369353488-Hydropower-PPT-Water-Resources-Engineering.pptxWajidMalik27
 
HYDROELECTRIC POWERPLANTS : Major hydroelectric plants operational in India
HYDROELECTRIC POWERPLANTS : Major hydroelectric plants operational in IndiaHYDROELECTRIC POWERPLANTS : Major hydroelectric plants operational in India
HYDROELECTRIC POWERPLANTS : Major hydroelectric plants operational in IndiaMayurjyotiNeog
 
Hydropower engineering -Hydraulics
Hydropower engineering -HydraulicsHydropower engineering -Hydraulics
Hydropower engineering -HydraulicsCivil Zone
 
Small Hydro Power System_Tidal_Ocean Energy.pptx
Small Hydro Power System_Tidal_Ocean Energy.pptxSmall Hydro Power System_Tidal_Ocean Energy.pptx
Small Hydro Power System_Tidal_Ocean Energy.pptxAmanGanesh1
 
power plant. engineering for btech mechanical
power plant. engineering for btech mechanicalpower plant. engineering for btech mechanical
power plant. engineering for btech mechanicalashokpradhan23
 
Hydro Power Plant
Hydro Power PlantHydro Power Plant
Hydro Power PlantGouravGowda
 
Hydro electric power plant lecture
Hydro electric power plant lectureHydro electric power plant lecture
Hydro electric power plant lecturec3b2a1
 

Similar to pumped hydro energy storage system (20)

lecture 2 - pumped hydro energy storge.pdf
lecture 2 - pumped hydro energy storge.pdflecture 2 - pumped hydro energy storge.pdf
lecture 2 - pumped hydro energy storge.pdf
 
Hydro-Electric Power
Hydro-Electric PowerHydro-Electric Power
Hydro-Electric Power
 
Hydroelectric power
Hydroelectric power Hydroelectric power
Hydroelectric power
 
Unit 5 Energy engg.ppsx
Unit 5 Energy engg.ppsxUnit 5 Energy engg.ppsx
Unit 5 Energy engg.ppsx
 
Basics of Hydro power plant
Basics of  Hydro power plant Basics of  Hydro power plant
Basics of Hydro power plant
 
Hydro power plant
Hydro power plant Hydro power plant
Hydro power plant
 
hydroelectricpowerm3-120625045759-phpapp01.pptx
hydroelectricpowerm3-120625045759-phpapp01.pptxhydroelectricpowerm3-120625045759-phpapp01.pptx
hydroelectricpowerm3-120625045759-phpapp01.pptx
 
Unit-4-POWER FROM RENEWABLE ENERGY.ppt
Unit-4-POWER FROM RENEWABLE ENERGY.pptUnit-4-POWER FROM RENEWABLE ENERGY.ppt
Unit-4-POWER FROM RENEWABLE ENERGY.ppt
 
Thermal Power Plant
Thermal Power PlantThermal Power Plant
Thermal Power Plant
 
369353488-Hydropower-PPT-Water-Resources-Engineering.pptx
369353488-Hydropower-PPT-Water-Resources-Engineering.pptx369353488-Hydropower-PPT-Water-Resources-Engineering.pptx
369353488-Hydropower-PPT-Water-Resources-Engineering.pptx
 
Hydroelectric Power.pptx
Hydroelectric Power.pptxHydroelectric Power.pptx
Hydroelectric Power.pptx
 
HYDROELECTRIC POWERPLANTS : Major hydroelectric plants operational in India
HYDROELECTRIC POWERPLANTS : Major hydroelectric plants operational in IndiaHYDROELECTRIC POWERPLANTS : Major hydroelectric plants operational in India
HYDROELECTRIC POWERPLANTS : Major hydroelectric plants operational in India
 
Hydropower engineering -Hydraulics
Hydropower engineering -HydraulicsHydropower engineering -Hydraulics
Hydropower engineering -Hydraulics
 
Power plant technology
Power plant technologyPower plant technology
Power plant technology
 
Small Hydro Power System_Tidal_Ocean Energy.pptx
Small Hydro Power System_Tidal_Ocean Energy.pptxSmall Hydro Power System_Tidal_Ocean Energy.pptx
Small Hydro Power System_Tidal_Ocean Energy.pptx
 
Module2.pdf
Module2.pdfModule2.pdf
Module2.pdf
 
power plant. engineering for btech mechanical
power plant. engineering for btech mechanicalpower plant. engineering for btech mechanical
power plant. engineering for btech mechanical
 
UNIT 4.pptx
UNIT 4.pptxUNIT 4.pptx
UNIT 4.pptx
 
Hydro Power Plant
Hydro Power PlantHydro Power Plant
Hydro Power Plant
 
Hydro electric power plant lecture
Hydro electric power plant lectureHydro electric power plant lecture
Hydro electric power plant lecture
 

More from MohamedHassanain8

More from MohamedHassanain8 (10)

Ch03-ESR-L05_FCellP1.pdf
Ch03-ESR-L05_FCellP1.pdfCh03-ESR-L05_FCellP1.pdf
Ch03-ESR-L05_FCellP1.pdf
 
Ch01-ESR-L02.pdf
Ch01-ESR-L02.pdfCh01-ESR-L02.pdf
Ch01-ESR-L02.pdf
 
Ch01-ESR-L01.pdf
Ch01-ESR-L01.pdfCh01-ESR-L01.pdf
Ch01-ESR-L01.pdf
 
CHAPTER1_EnergyStorage_Pea3450.pptx
CHAPTER1_EnergyStorage_Pea3450.pptxCHAPTER1_EnergyStorage_Pea3450.pptx
CHAPTER1_EnergyStorage_Pea3450.pptx
 
final adsorbtion.pptx
final adsorbtion.pptxfinal adsorbtion.pptx
final adsorbtion.pptx
 
cold room.pptx
cold room.pptxcold room.pptx
cold room.pptx
 
SOLAR COOLING 2.pptx
SOLAR COOLING 2.pptxSOLAR COOLING 2.pptx
SOLAR COOLING 2.pptx
 
Final Presentation.pptx
Final Presentation.pptxFinal Presentation.pptx
Final Presentation.pptx
 
R & AC Lap.pptx
R & AC Lap.pptxR & AC Lap.pptx
R & AC Lap.pptx
 
Solar adsorption cooling.pptx
Solar adsorption cooling.pptxSolar adsorption cooling.pptx
Solar adsorption cooling.pptx
 

Recently uploaded

Booking open Available Pune Call Girls Pargaon 6297143586 Call Hot Indian Gi...
Booking open Available Pune Call Girls Pargaon  6297143586 Call Hot Indian Gi...Booking open Available Pune Call Girls Pargaon  6297143586 Call Hot Indian Gi...
Booking open Available Pune Call Girls Pargaon 6297143586 Call Hot Indian Gi...Call Girls in Nagpur High Profile
 
Booking open Available Pune Call Girls Koregaon Park 6297143586 Call Hot Ind...
Booking open Available Pune Call Girls Koregaon Park  6297143586 Call Hot Ind...Booking open Available Pune Call Girls Koregaon Park  6297143586 Call Hot Ind...
Booking open Available Pune Call Girls Koregaon Park 6297143586 Call Hot Ind...Call Girls in Nagpur High Profile
 
CCS335 _ Neural Networks and Deep Learning Laboratory_Lab Complete Record
CCS335 _ Neural Networks and Deep Learning Laboratory_Lab Complete RecordCCS335 _ Neural Networks and Deep Learning Laboratory_Lab Complete Record
CCS335 _ Neural Networks and Deep Learning Laboratory_Lab Complete RecordAsst.prof M.Gokilavani
 
(SHREYA) Chakan Call Girls Just Call 7001035870 [ Cash on Delivery ] Pune Esc...
(SHREYA) Chakan Call Girls Just Call 7001035870 [ Cash on Delivery ] Pune Esc...(SHREYA) Chakan Call Girls Just Call 7001035870 [ Cash on Delivery ] Pune Esc...
(SHREYA) Chakan Call Girls Just Call 7001035870 [ Cash on Delivery ] Pune Esc...ranjana rawat
 
Coefficient of Thermal Expansion and their Importance.pptx
Coefficient of Thermal Expansion and their Importance.pptxCoefficient of Thermal Expansion and their Importance.pptx
Coefficient of Thermal Expansion and their Importance.pptxAsutosh Ranjan
 
High Profile Call Girls Nagpur Meera Call 7001035870 Meet With Nagpur Escorts
High Profile Call Girls Nagpur Meera Call 7001035870 Meet With Nagpur EscortsHigh Profile Call Girls Nagpur Meera Call 7001035870 Meet With Nagpur Escorts
High Profile Call Girls Nagpur Meera Call 7001035870 Meet With Nagpur EscortsCall Girls in Nagpur High Profile
 
Introduction to IEEE STANDARDS and its different types.pptx
Introduction to IEEE STANDARDS and its different types.pptxIntroduction to IEEE STANDARDS and its different types.pptx
Introduction to IEEE STANDARDS and its different types.pptxupamatechverse
 
Call Girls Pimpri Chinchwad Call Me 7737669865 Budget Friendly No Advance Boo...
Call Girls Pimpri Chinchwad Call Me 7737669865 Budget Friendly No Advance Boo...Call Girls Pimpri Chinchwad Call Me 7737669865 Budget Friendly No Advance Boo...
Call Girls Pimpri Chinchwad Call Me 7737669865 Budget Friendly No Advance Boo...roncy bisnoi
 
KubeKraft presentation @CloudNativeHooghly
KubeKraft presentation @CloudNativeHooghlyKubeKraft presentation @CloudNativeHooghly
KubeKraft presentation @CloudNativeHooghlysanyuktamishra911
 
result management system report for college project
result management system report for college projectresult management system report for college project
result management system report for college projectTonystark477637
 
Extrusion Processes and Their Limitations
Extrusion Processes and Their LimitationsExtrusion Processes and Their Limitations
Extrusion Processes and Their Limitations120cr0395
 
(ANJALI) Dange Chowk Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...
(ANJALI) Dange Chowk Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...(ANJALI) Dange Chowk Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...
(ANJALI) Dange Chowk Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...ranjana rawat
 
UNIT-V FMM.HYDRAULIC TURBINE - Construction and working
UNIT-V FMM.HYDRAULIC TURBINE - Construction and workingUNIT-V FMM.HYDRAULIC TURBINE - Construction and working
UNIT-V FMM.HYDRAULIC TURBINE - Construction and workingrknatarajan
 
Introduction and different types of Ethernet.pptx
Introduction and different types of Ethernet.pptxIntroduction and different types of Ethernet.pptx
Introduction and different types of Ethernet.pptxupamatechverse
 
MANUFACTURING PROCESS-II UNIT-1 THEORY OF METAL CUTTING
MANUFACTURING PROCESS-II UNIT-1 THEORY OF METAL CUTTINGMANUFACTURING PROCESS-II UNIT-1 THEORY OF METAL CUTTING
MANUFACTURING PROCESS-II UNIT-1 THEORY OF METAL CUTTINGSIVASHANKAR N
 
Call Girls Service Nagpur Tanvi Call 7001035870 Meet With Nagpur Escorts
Call Girls Service Nagpur Tanvi Call 7001035870 Meet With Nagpur EscortsCall Girls Service Nagpur Tanvi Call 7001035870 Meet With Nagpur Escorts
Call Girls Service Nagpur Tanvi Call 7001035870 Meet With Nagpur EscortsCall Girls in Nagpur High Profile
 
Porous Ceramics seminar and technical writing
Porous Ceramics seminar and technical writingPorous Ceramics seminar and technical writing
Porous Ceramics seminar and technical writingrakeshbaidya232001
 

Recently uploaded (20)

Booking open Available Pune Call Girls Pargaon 6297143586 Call Hot Indian Gi...
Booking open Available Pune Call Girls Pargaon  6297143586 Call Hot Indian Gi...Booking open Available Pune Call Girls Pargaon  6297143586 Call Hot Indian Gi...
Booking open Available Pune Call Girls Pargaon 6297143586 Call Hot Indian Gi...
 
Booking open Available Pune Call Girls Koregaon Park 6297143586 Call Hot Ind...
Booking open Available Pune Call Girls Koregaon Park  6297143586 Call Hot Ind...Booking open Available Pune Call Girls Koregaon Park  6297143586 Call Hot Ind...
Booking open Available Pune Call Girls Koregaon Park 6297143586 Call Hot Ind...
 
CCS335 _ Neural Networks and Deep Learning Laboratory_Lab Complete Record
CCS335 _ Neural Networks and Deep Learning Laboratory_Lab Complete RecordCCS335 _ Neural Networks and Deep Learning Laboratory_Lab Complete Record
CCS335 _ Neural Networks and Deep Learning Laboratory_Lab Complete Record
 
Roadmap to Membership of RICS - Pathways and Routes
Roadmap to Membership of RICS - Pathways and RoutesRoadmap to Membership of RICS - Pathways and Routes
Roadmap to Membership of RICS - Pathways and Routes
 
(SHREYA) Chakan Call Girls Just Call 7001035870 [ Cash on Delivery ] Pune Esc...
(SHREYA) Chakan Call Girls Just Call 7001035870 [ Cash on Delivery ] Pune Esc...(SHREYA) Chakan Call Girls Just Call 7001035870 [ Cash on Delivery ] Pune Esc...
(SHREYA) Chakan Call Girls Just Call 7001035870 [ Cash on Delivery ] Pune Esc...
 
Coefficient of Thermal Expansion and their Importance.pptx
Coefficient of Thermal Expansion and their Importance.pptxCoefficient of Thermal Expansion and their Importance.pptx
Coefficient of Thermal Expansion and their Importance.pptx
 
DJARUM4D - SLOT GACOR ONLINE | SLOT DEMO ONLINE
DJARUM4D - SLOT GACOR ONLINE | SLOT DEMO ONLINEDJARUM4D - SLOT GACOR ONLINE | SLOT DEMO ONLINE
DJARUM4D - SLOT GACOR ONLINE | SLOT DEMO ONLINE
 
High Profile Call Girls Nagpur Meera Call 7001035870 Meet With Nagpur Escorts
High Profile Call Girls Nagpur Meera Call 7001035870 Meet With Nagpur EscortsHigh Profile Call Girls Nagpur Meera Call 7001035870 Meet With Nagpur Escorts
High Profile Call Girls Nagpur Meera Call 7001035870 Meet With Nagpur Escorts
 
Introduction to IEEE STANDARDS and its different types.pptx
Introduction to IEEE STANDARDS and its different types.pptxIntroduction to IEEE STANDARDS and its different types.pptx
Introduction to IEEE STANDARDS and its different types.pptx
 
Water Industry Process Automation & Control Monthly - April 2024
Water Industry Process Automation & Control Monthly - April 2024Water Industry Process Automation & Control Monthly - April 2024
Water Industry Process Automation & Control Monthly - April 2024
 
Call Girls Pimpri Chinchwad Call Me 7737669865 Budget Friendly No Advance Boo...
Call Girls Pimpri Chinchwad Call Me 7737669865 Budget Friendly No Advance Boo...Call Girls Pimpri Chinchwad Call Me 7737669865 Budget Friendly No Advance Boo...
Call Girls Pimpri Chinchwad Call Me 7737669865 Budget Friendly No Advance Boo...
 
KubeKraft presentation @CloudNativeHooghly
KubeKraft presentation @CloudNativeHooghlyKubeKraft presentation @CloudNativeHooghly
KubeKraft presentation @CloudNativeHooghly
 
result management system report for college project
result management system report for college projectresult management system report for college project
result management system report for college project
 
Extrusion Processes and Their Limitations
Extrusion Processes and Their LimitationsExtrusion Processes and Their Limitations
Extrusion Processes and Their Limitations
 
(ANJALI) Dange Chowk Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...
(ANJALI) Dange Chowk Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...(ANJALI) Dange Chowk Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...
(ANJALI) Dange Chowk Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...
 
UNIT-V FMM.HYDRAULIC TURBINE - Construction and working
UNIT-V FMM.HYDRAULIC TURBINE - Construction and workingUNIT-V FMM.HYDRAULIC TURBINE - Construction and working
UNIT-V FMM.HYDRAULIC TURBINE - Construction and working
 
Introduction and different types of Ethernet.pptx
Introduction and different types of Ethernet.pptxIntroduction and different types of Ethernet.pptx
Introduction and different types of Ethernet.pptx
 
MANUFACTURING PROCESS-II UNIT-1 THEORY OF METAL CUTTING
MANUFACTURING PROCESS-II UNIT-1 THEORY OF METAL CUTTINGMANUFACTURING PROCESS-II UNIT-1 THEORY OF METAL CUTTING
MANUFACTURING PROCESS-II UNIT-1 THEORY OF METAL CUTTING
 
Call Girls Service Nagpur Tanvi Call 7001035870 Meet With Nagpur Escorts
Call Girls Service Nagpur Tanvi Call 7001035870 Meet With Nagpur EscortsCall Girls Service Nagpur Tanvi Call 7001035870 Meet With Nagpur Escorts
Call Girls Service Nagpur Tanvi Call 7001035870 Meet With Nagpur Escorts
 
Porous Ceramics seminar and technical writing
Porous Ceramics seminar and technical writingPorous Ceramics seminar and technical writing
Porous Ceramics seminar and technical writing
 

pumped hydro energy storage system

  • 1. Energy storage systems Pumped Hydro Energy Storage System Dr. Mohamed Hassanain
  • 2. Pumped-Hydro Energy Storage  Potential energy storage in elevated mass is the basis for pumped-hydro energy storage (PHES) Energy used to pump water from a lower reservoir to  an upper reservoir Electrical energy input mechanical energy Pumps transfer energy potential energy to motors converted to rotational  to the water as kinetic, then 
  • 3. Pumped-Hydro Energy Storage  Energy stored in the water of the upper reservoir is released as water flows to the lower reservoir Potential energy converted to kinetic energy Kinetic energy of falling  water turns a turbine  Turbine turns a generator Generator converts mechanical energy to electrical  energy 
  • 4. Pumped-Hydro Energy Storage • Typically, pumping would take place by buying electricity during times when prices are low, which is when demand is low or the availability of electricity from other sources is high (e.g. a windy and sunny day). • Generation would take place during times of high demand (such as during evenings) when prices are high. This pattern of buy-low and sell-high is called arbitrage. • The power companies make a lot of money by selling the generated power during peak hours at higher rates.
  • 5. • Typically, pumping would take place by buying electricity during times when prices are low, which is when demand is low or the availability of electricity from other sources is high (e.g. a windy and sunny day). • Generation would take place during times of high demand (such as during evenings) when prices are high. This pattern of buy-low and sell-high is called arbitrage. • The power companies make a lot of money by selling the generated power during peak hours at higher rates. Pumped Storage Hydro Power Plants
  • 6. HISTORICAL DEVELOPMENT The history of pumped storage plant can be traced as far back 1st as 1882, in which year the hydroelectric plant making use of pumped storage started functioning at Zurich in Switzerland. 1st In 1931, the reversible pump-turbine was installed at Baldeneyesee in Germany. 1st The major reversible diagonal turbine (Deriaz) was installed at Niagara in 1955. In Europe, in 1962, Ffestiniog (Great Britain) with a total capacity of 360 MW and Provindenza (Italy) with a head of 284 m, were the major landmarks in the progress of pumped storage plants.
  • 7. Conventional river-based PHES (open-loop) • Many existing PHES systems have been developed in conjunction with a conventional river-based hydroelectric system. • Two reservoirs are created, at different altitudes, but close to each other. • Often, the lower reservoir is large and located on a substantial river, while the upper reservoir is smaller, and located higher up on the same river or in a high tributary or parallel valley. • Most river water passes through the system, generating electricity, and then flows on down the river. Some water is cycled between the two reservoirs to create energy storage.
  • 8. • There are alternative methods of constructing PHES that do not require significant modification to river systems. One method is to connect closely spaced existing reservoirs using underground tunnels and powerhouses. With care, there is low disturbance at the surface • An off-river PHES system comprises a pair of artificial reservoirs spaced several kilometers apart, located at different altitudes, and connected with a combination of aqueducts, pipes and tunnels. • The reservoirs can be specially constructed ('greenfield') or can utilize old mining sites or existing reservoirs ('brownfield’). • Off-river PHES utilizes conventional hydroelectric technology for construction of reservoirs, tunnels, pipes, powerhouse, electromechanical equipment, control systems, switchyard and transmission, but in a novel configuration. Off-river (closed-loop) pumped hydro systems
  • 9. • An off-river PHES system has the advantage that flood mitigation costs are minimal compared with a river-based PHES system. • Heads are generally better than river-based systems because the upper reservoir can be on a high hill rather than higher in the same valley as the lower reservoir. • Environmental costs of damming rivers are avoided with off-river PHES, which helps with social acceptance. • The much greater number of off-river sites compared with on-river sites allows much wider site choice from environmental, social, geological, hydrological, logistical and other points of view. • Another advantage is that construction of off-river pumped hydro can be much faster than other storage methods • Work can proceed in parallel on the two reservoirs, the water conveyance, the powerhouse and the transmission Off-river PHES vs river-based PHES
  • 10. • The first requirement is to find places where reservoirs can be constructed that store a large amount of water compared with amount of rock and other material used to construct the reservoir walls. • The second requirement is to find closely spaced pairs of sites that have large differences in altitude ('head'). The former requirement is because pipes and tunnels connecting the two reservoirs are expensive, and the latter requirement is because doubling the head doubles the storage energy volume and storage power capacity but does not double the system cost. Off-river PHES location requirement
  • 11. Components of a PHES Plant Lower reservoir
  • 12. PHES Components – Reservoirs   Upper and lower reservoirs separated by an elevation difference  Two configurations: Open-loop:  At least one of the reservoirs connected to a source of natural inflow  Natural lake, river, river-fed reservoir, the sea Closed-loop:  Neither reservoir has a natural source of inflow  Initial filling and compensation of leakage and evaporation provided by ground water wells  Less common than open-loop  
  • 13. PHES Components – Penstock  Penstock Conduit for water flowing between reservoirs and to the pump/generator Above-ground pipes or below ground shafts/tunnels  5 -10 m diameter is common  One plant may have several penstocks  Typically steel- or concrete-lined, though may be unlined Flow velocity range of 1 – 5 m/s is common Tradeoff between cost and efficiency for a given flow rate,  Larger cross-sectional area:  Slower flow  Lower loss  Higher cost     𝑄 𝑄
  • 14. PHES Components  Tailrace tunnel  Typically, larger diameter than penstocks  Lower pressure  Lower flow rate  Downward slope from lower reservoir to pump/turbine  Inlet head helps prevent cavitation in pumping mode  Surge tanks  Accumulator tanks to absorb high pressure transients during startup and mode changeover  May be located on penstock or tailrace  Especially important for longer tunnels  Hydraulic bypass capacitors
  • 15. PHES Components – Power House  Power house Contains pump/turbines and motor/generators Often underground Typically below the level of the lower reservoir to provide required pump inlet head Three possible configurations  Binary set: one pump/turbine and one motor/generator  Ternary set: one pump, one turbine, and one motor/generator  Quaternary set: separate pump, turbine, motor, and generator    
  • 16. Power Plant Configurations – Quaternary Set  Quaternary set Pump driven by a motor Generator driven by a turbine Pump and turbine are completely decoupled Possibly separate penstocks/tailrace tunnels Most common configuration prior to 1920 High equipment/infrastructure costs High efficiency  Pump and turbine designed to optimize individual performance       
  • 17. Power Plant Configurations – Ternary Set  Ternary set Pump, turbine, and motor/generator all on a single shaft  Pump and turbine rotate in the same direction Turbine rigidly coupled to the motor/generator Pump coupled to shaft with a clutch Popular design 1920 – 1960s Nowadays, used when head exceeds stage pump/turbine     the usable range of a single-   High-head turbines (e.g., Pelton) can be used Pump and turbine designs can be individually optimized 
  • 18. Power Plant Configurations – Ternary Set  Ternary set Generating mode:  Turbine spins generator  Pump decoupled from the shaft and isolated with valves Pumping mode:  Motor turns the pump  Turbine spins in air, isolated with valves Both turbine and pump can operate simultaneously Turbine can be used for pump startup  Both spin in the same direction  Turbine brings pump up to speed and synchronized with grid, then shuts down  Changeover time reduced    
  • 19. Power Plant Configurations – Binary Set  Binary set Single reversible pump/turbine coupled to a single motor/generator Most popular configuration for modern PHES Lowest cost configuration  Less equipment  Simplified hydraulic pathways  Fewer valves, gates, controls, etc. Lower efficiency than for ternary or    quaternary sets   Pump/turbine runner design is a compromise between pump and turbine performance
  • 20. Power Plant Configurations – Binary Set  Binary set Rotation is in opposite directions for pumping and generating Shaft and motor/generator must change directions when changing modes  Slower changeover than for Pump startup:   ternary or quaternary units   Pump/turbine runner dewatered and spinning in air  Motor brings pump up to speed and in synchronism with grid before pumping of water begins the
  • 21. Turbines  Hydro turbine design selection based on  Head  Flow rate  PHES plants are typically sited to have large  Energy density is proportional to head  Typically 100s of meters  Reversible Francis pump/turbine  Most common turbine for PHES applications head  Single-stage pump/turbines operate with heads up to  For higher head:  Multi-stage pump/turbines  Ternary units with Pelton turbines 700 m
  • 23. Francis Turbine – Components  Volute casing (scroll casing) Spiral casing that feeds water from the penstock to the turbine runner Cross-sectional area decreases along the length of the casing  Constant flow rate maintained along the length  Francis turbine casing – Grand Coulee: 
  • 24. Francis Turbine – Components  Guide vanes and stay vanes Direct water flow from the casing into the runner Stay vanes are fixed Guide vanes, or wicket gates, are adjustable    Open and close to control flow rate Power output modulated by controlling flow rate Set fully open for pumping mode    Source: Stahlkocher Source: Stahlkocher
  • 25. Francis Turbine – Components  Turbine runner  Reaction turbine  Pressure energy is extracted from the flow  Pressure drops as flow passes through the runner  Flow enters radially  Flow exits axially  Typically oriented with a vertical shaft  Draft tube  Diffuser that guides exiting to the tailrace flow Source: Voith Siemens Hydro Power
  • 26. High-Head PHES Two-stage pump/turbine:  Options for heads in excess of 700 m: Two-stage Francis pump/turbines  Typically no wicket gates two-stage configuration  in  No mechanism for varying generating power Ternary unit with Pelton turbine  Source: Alstom
  • 27. Pelton Turbines  Pelton Turbine Suitable for heads up to 1000 m Impulse turbine  Nozzles convert pressure energy to kinetic energy  High-velocity jets impinge on the runner at atmospheric pressure  Kinetic energy transferred to the runner  Water exits the turbine at low velocity Cannot be used for pumping  Used as part of a ternary set   Source: BFL Hydro Power  Source: Alstom
  • 28. PHES Losses  Typical losses for PHES:
  • 30. Relatively low capital cost; thus economic source of peaking capacity. Rugged & dependable; can pick up load rapidly in a matter of few minutes. Readily adaptable to automation as well as remote-control. Hydel power is free from effects of environmental pollution—thus contributing a part in curbing air & water pollution. ADVANTAGES
  • 31. Allow great deal of flexibility in operational schedules of system. Power required for pumping is available at a cheaper rate(slack hours’ rate); power produced can be sold at prime rate(peak hours’ rate) - this compensates the low hydraulic efficiency. They allow entire thermal or nuclear power generation to take up base load; thus load factor improves giving overall greater system efficiency. Little effect on the landscape. ADVANTAGES
  • 32. Disadvantages of PHES  Disadvantages of PHES  Environmental issues  Water usage  River/habitat disruption  Head variation  Pressure drops as upper reservoir drains  Efficiency may vary throughout charge/discharge cycle  Particularly an issue for lower-head plants with steep, narrow upper reservoirs  Siting options are limited  Available water  Favorable topography  Large land area  Possible alternative potential  Rail energy storage energy storage:
  • 33. OBLEMS OF PR OPERATION Once it's used, it can't be used again until the water is pumped back up. Cavitation problems; powerhouse location has to be so fixed that pump operates under submerged conditions(magnitude depends on specific speed & net head). Reversing of direction of flow gives rise to runner cracking due to fatigue. Trash racks vibrate violently during pumping operation. Flow during pumping mode tends to lift the machine axially causing tensile stresses in bearings; specially guide vanes.
  • 34. • Density=mass/volume • W=m x g • Density of water =1000Kg/m3 • hydraulic efficiency x electrical efficiency= overall efficiency General Formulas
  • 35. • The power that can be extracted from a waterfall depends upon its height and rate of flow. • The available hydro power can be calculated by the following equation: • P= ρ*Q*g*h • P=available water power[W] • Q=water rate of flow [m3/s] • h= head of water [m] • Ρ = water density [ kg/ m3] • g = 9.81 [m/s2] Available Hydro Power
  • 36. The energy used to pump a water volume (V) to a height (h) with a specific pumping efficiency (ηp) is given by: Epumping =  · g · h · V ηp Overall efficiency of the energy storage system = Egenerator / Epumping The energy supplied to the electrical network by a generator of efficiency (ηg) can be obtained by: Egenerator =  · g · h · V · ηg Ppumping =  · g · h · Q ηp Pgenerator =  · g · h · Q · ηg Pumped Hydro Energy
  • 37. • A large hydropower station has a head of 324m and an average flow of 1370m3/s. The reservoir of water covers an area of 6400Km2. Calculate • the available hydraulic power • the number of days this power could be sustained if the level of the impounded water were allowed to drop by 1m. Example 1
  • 38. • The available hydropower can be found using the equation • P= ρ*Q*g*h • P=1000*9.8 x 1370 x 324=4350MW • (b) we have to find the number of days ? • Using the 1 m drop we find the corresponding volume of water • Volume = area x height =6400x106m2 x 1m=6400x106m3 Solution
  • 39. • Rate of flow= 1370m3/s • By looking at the units of rate of flow we can deduce that time in seconds would be volume divide by rate of flow • Q=V/t  t=V/Q • t=6400x106/1370 = 4.67x106 s = 1298h =54 days Solution
  • 41. 41
  • 42. • Then the power cost of the pump, the revenue generated by the turbine, and the net income (revenue minus cost) per year become 42 Solution
  • 43. • Discussion It appears that this pump-turbine system has a potential annual income of about $70,000. A decision on such a system will depend on the initial cost of the system, its life, the operating and maintenance costs, the interest rate, and the length of the contract period, among other things. 43 Solution