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Flywheel as an energy storage device.ppt
Flywheel as an energy storage device.ppt
SATYAJIT58
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Feb 26, 2025
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About This Presentation
Flywheel as an energy storage device
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1.1 MB
Language:
en
Added:
Feb 26, 2025
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23 pages
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Slide 1
© A. Kwasinski, 2017
ECE 2795
Microgrid Concepts and Distributed
Generation Technologies
Spring 2017
Week #7
Slide 2
Energy Storage
• In the last class we have discussed battery technologies and how their
characteristics may or may not be suitable for microgrids.
• Batteries are suitable for applications where we need an energy delivery
profile. For example, to feed a load during the night when the only source is PV
modules.
• However, batteries do not tend to be suitable for applications with power
delivery profiles. For example, to assist a slow load-following fuel cell in
delivering power to a constantly and fast changing load.
• For this last application, two technologies seem to be more appropriate:
• Ultracapacitors (electric energy)
• Flywheels (mechanical energy)
• Other energy storage technologies not discussed in here are superconducting
magnetic energy storage (SMES – magnetic energy) and compressed air (or
some other gas - mechanical energy)
© A. Kwasinski, 2017
Slide 3
Power vs. energy delivery profile
technologies
• Ragone chart:
• More information and charts can be found in Holm et. al., “A Comparison of
Energy Storage Technologies as Energy Buffer in Renewable Energy Sources
with respect to Power Capability.”
© A. Kwasinski, 2017
Slide 4
Power vs. energy delivery profile
technologies
© A. Kwasinski, 2017
Slide 5
Electric vs. Magnetic energy storage
• Consider that we compare technologies based on energy density (J/m
3
)
• Plot of energy density vs. length scale (distance between plates or air gap):
• Hence, magnetic energy storage (e.g. SMES) is effective for large scale
systems (higher power)
[ ] [ ] [ ][ ]Energy Work F d Nm J
3 3 2
[ ]
J Nm N
Energy density Pa
m m m
University of Illinois at Urbana-Champaign
ECE 468 (Spring 2004)
© A. Kwasinski, 2017
Slide 6
Ultracapacitors
• Capacitors store energy in its electric field.
• In ideal capacitors, the magnitude that relates the charge generating the
electric field and the voltage difference between two opposing metallic plates
with an area A and at a distance d, is the capacitance:
• In ideal capacitors:
• Equivalent model of real standard capacitors:
Q
C
V
A
C
d
2 2
1
w
l
ESR R
RC
© A. Kwasinski, 2017
Slide 7
• Ultracapacitors technology: construction
• Double-layer technology
•Electrodes: Activated carbon (carbon cloth, carbon black, aerogel carbon,
particulate from SiC, particulate from TiC)
• Electrolyte: KOH, organic solutions, sulfuric acid.
Ultracapacitors
http://www.ultracapacitors.org/img2/
ultracapacitor-image.jpg
© A. Kwasinski, 2017
Slide 8
• Ultracapacitors technology: construction
• Key principle: area is increased and distance is
decreased
• There are some similarities with batteries but there are
no reactions here.
Ultracapacitors
The charge of ultracapacitors, IEEE
Spectrum Nov. 2007
Traditional standard
capacitor
Double layer
capacitor
(ultracapacitor)
Ultracapacitor with carbon
nano-tubes electrodes
A
C
d
© A. Kwasinski, 2017
Slide 9
• Ultracapacitors technology: construction
Ultracapacitors
www.ansoft.com/firstpass/pdf/CarbonCarbon_Ultracapacitor_Equivalent_Circuit_Model.pdf
© A. Kwasinski, 2017
Slide 10
• Some typical Maxwell’s ultracapacitor packages:
• At 2.7 V, a BCAP2000 capacitor can store more than 7000 J in the volume of
a soda can.
• In comparison a 1.5 mF, 500 V electrolytic capacitor can store less than 200 J
in the same volume.
Ultracapacitors
www.ansoft.com/firstpass/pdf/CarbonCarbon_Ultracapacitor_Equivalent_Circuit_Model.pdf
© A. Kwasinski, 2017
Slide 11
• Comparison with other capacitor technologies
Ultracapacitors
www.ansoft.com/firstpass/pdf/CarbonCarbon_Ultracapacitor_Equivalent_Circuit_Model.pdf
© A. Kwasinski, 2017
Slide 12
• Charge and discharge:
• With constant current, voltage approximate a linear variation due to a very
large time constant:
• Temperature affects the output (discharge on a constant power load):
Ultracapacitors
www.ansoft.com/firstpass/pdf/
CarbonCarbon_Ultracapacitor_Equivalent_Circuit
_Model.pdf
© A. Kwasinski, 2017
Slide 13
• Aging process:
• Life not limited by cycles but by aging
• Aging influenced by temperature and cell voltage
• Overtime the materials degrade, specially the electrolyte
• Impurities reduce a cell’s life.
Ultracapacitors
Linzen, et al., “Analysis and Evaluation of Charge-Balancing
Circuits on Performance, Reliability, and
Lifetime of Supercapacitor Systems”
© A. Kwasinski, 2017
Slide 14
• Power electronic interface:
• It is not required but it is recommended
• It has 2 purposes:
• Keep the output voltage constant as the capacitor discharges (a
simple boost converter can be used)
• Equalize cell voltages (circuit examples are shown next)
Ultracapacitors
© A. Kwasinski, 2017
Slide 15
• Model (sometimes similar to batteries)
Ultracapacitors
Mierlo et al., Journal of Power Sources 128
(2004) 76–89
http://www.ansoft.com/leadinginsight/pdf/High
%20Performance%20Electromechanical
%20Design/Ultracapacitor%20Distributed%20Model
%20Equivalent%20Circuit%20For%20Power
%20Electronic%20Circuit%20Simulation.pdf
Ultracapacitors for Use in Power Quality and
Distributed Resource Applications, P. P. Barker
© A. Kwasinski, 2017
Slide 16
Flywheels
• Energy is stored mechanically (in a rotating disc)
Flywheels Energy
Systems
Motor
Generator
© A. Kwasinski, 2017
Slide 17
http://www.vyconenergy.com
http://www.pentadyne.com
Flywheels
© A. Kwasinski, 2017
Slide 18
Flywheels
• Kinetic energy:
where I is the moment of inertia and ω is the angular velocity of a rotating disc.
• For a cylinder the moment of inertia is
• So the energy is increased if ω increases or if I increases.
• I can be increased by locating as much mass on the outside of the disc as
possible.
• But as the speed increases and more mass is located outside of the disc,
mechanical limitations are more important.
21
2
k
E I
2
I r dm
41
2
I r a
© A. Kwasinski, 2017
Slide 19
Flywheels
• Disc shape and material: the maximum energy density per mass and the
maximum tensile stress are related by:
• Typically, tensile stress has 2 components: radial stress and hoop stress.
max
/
m
e K
© A. Kwasinski, 2017
Slide 20
• Since
(1)
and
(2)
and
(3)
then, from (2) and (3)
(4)
So, replacing (1) in (4) it yields
max
/
m
e K
2
" "I r m
2 2 21 1
2 2
m
e r v
21
2
k
E I
max
max
2K
v
Flywheels
© A. Kwasinski, 2017
Slide 21
• However, high speed is not the only mechanical constraint
• If instead of holding output voltage constant, output power is held constant,
then the torque needs to increase (because P = Tω) as the speed decreases.
Hence, there is also a minimum speed at which no more power can be
extracted
• If
and if an useful energy (E
u) proportional to the difference between the disk
energy at its maximum and minimum allowed speed is compared with the
maximum allowed energy (E
max) then
Flywheels
max
min
r
v
V
v
2
2
max
1
u r
r
EV
E V
Bernard et al., Flywheel Energy
Storage Systems In Hybrid And
Distributed Electricity GenerationV
r
V
r
E
u
/
E
m
a
x
© A. Kwasinski, 2017
Slide 22
Flywheels
• In order to reduce the friction (hence, losses) the disc is usually in a vacuum
chamber and uses magnetic bearings.
• Motor / generators are typically permanent magnet machines. There are 2
types: axial flux and radial flux. AFPM can usually provide higher power and
are easier to cool.
Bernard et al., Flywheel Energy
Storage Systems In Hybrid And
Distributed Electricity Generation
Bernard et al., Flywheel Energy Storage Systems In Hybrid And
Distributed Electricity Generation
© A. Kwasinski, 2017
Slide 23
Flywheels
• Simplified dynamic model
• Typical outputs
Flywheels Energy
Systems
© A. Kwasinski, 2017
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