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Ultra-Capacitors in Power Conversion
-Applications, Analysis and Design from Theory to Practice-
Dr. Petar J. GrbovićHUAWEI Technologies Duesseldorf GmbH
Energy Competence Center Europe
Agenda
• PART ONE: Background of Power Conversion & Energy Storage
• PART TWO: Ultra-capacitor Energy Storage Device• PART THREE: Applications• PART FOUR: The Ultra-Capacitor Selection & Design• PART FIVE: Interface Power Converter
2
PART ONEBackground of Power Conversion & Energy
Storage 1. The need for Energy Storage2. Energy Storage Technologies & Devices3. Electrochemical Batteries4. Flywheel Energy Storage5. Ultra-capacitor Energy Storage6. Ultra-capacitors versus Batteries
3
• Electric systems A & B are interconnected via a power processor1. A =the grid & B=electric drive2. A= wind mill & B=the grid3. A=the grid & B= a critical load (data center, hospital, etc., etc,.)
• The power processor: a static power converter, transformer, installation, etc., etc.
• The power processor has no energy storage capability Instantaneous power of both systems are equal.
• The system is oversized• Efficiency is reduced• Peak power penalty• Interruption cost and penalty
tPtP BA
The Need for Energy Storage
4
AVPAVP
tPtP
BA
BA
• An energy storage device integrated within the power processor
• The energy storage device decouples the system A from the system B
• Instantaneous power• Average power of the systems A
& B remains the same
The Need for Energy Storage
2. What is an energy storage device that can be used in power conversion applications?
1. A power processor with energy storage capability
5
Energy Storage Technologies & Devices • Electric energy storage device is a device with ability to store electric energy
and keep it stored for undefined period of time1. Direct Energy Storage (Simple electric devices), or2. (Indirect Energy Storage) Complex electro-mechanical or electro-chemical
devices
Direct Energy Storage
Indirect Energy Storage
Magnetic Field
Electric Field Mechanical
ChemicalInductors Capacitors Kinetic Potential
SMES Ultra-capacitors
Flywheels HydroPumped
Compressed air
Batteries Fuel Cells
6
Energy Storage Technologies & Devices
• CAES & HPES• Large scale utility applications
• SMES• High power short term utility
applications• Electrochemical Batteries
• Long term, low & midium power applications
• Flaywheels & Ultra-capacitors• Short term, low & midium
power applications
7
Electrochemical Batteries• Secondary electrochemical batteries
1. Convert electric energy into chemical energy (charging),2. Store chemical energy, and3. Convert chemical energy into electric energy (discharging)
• The most popular energy storage devices• Composed of:
1. Two electrodes of different material, and2. Electrolyte
• Electro-chemical action is a slow process • Charge and discharge rate are limited
• Charge/Discharge power is limited• Life time and deep discharge cycling capability are limited
8
Electrochemical Batteries
Energy Density[Wh/kg]
Power Density[W/kg]
Life Time[Cycles]
Lead-Acid 20-35 25 200-2000
Lithium -Ion 100-200 360 500-2000
Lithium Polymer 200 250-1000 >1200
Nickel Cadmium 40-60 140-180 500-2000
Nickel-Metal Hydride
60-80 220 <3000
Sodium-Sulfur 120 120 2000
Zebra Batteries 25 80-150 <16 000
State of the art electro-chemical batteries
9
Ultra-capacitor Energy Storage
• An ultra-capacitor is a special kind of electrostatic capacitor• It is not an electrochemical battery! • Energy is stored directly as electric field between two charged plates
1. Capacitance of hundreds up to thousands of [F]2. The cell voltage 2.5 [V] 3. High energy density, 1 to 10 [Wh/kg] (>>> electrolytic capacitors )4. High power density 5 to 20 [kW/kg] 5. Fast charge/discharge6. High cycling capability <500 000
[cycles]
2002
1CuCE
7. Wide range of operating temperature, from – 40 [ºC] up to +60 [ºC]
www.ultracapacitor.co.kr.
10
Flywheel Energy Storage
• An electric motor/generator coupled with a large inertia rotor• Electric energy converted into mechanical and stored as kinetic
energy of a rotating mass (speed ω0 and inertia J)• Low speed (<10 000rpm) and high (>100 000rpm)
1. High energy density 2. Fast charge/discharge , high peak power3. Long life, high cycling capability4. Wide range of operating temperature
202
1 JE
• Similar characteristics as ultra-capacitors
• Efficiency of the motor/generator is a limiting factor
11
Comparison Power Density
Energy Density
Safety
Price per kWPrice per kWh
Cyclability
Operating Temperature
0
5
10
UC
Lead Acid
NiMH
Li-ion
Fly Wheel
12
Ultra-capacitors versus Batteries
If the charge/discharge time is shorter than TCR
A. An ultra-capacitor is the solution,B. Otherwise an electro-chemical
battery is the solution
• Currently TCR =10 to 30s
• Size and cost of an energy storage1. Energy Storage Capability2. Power Capability & Conversion Efficiency3. Cycling capability & Life time
13
PART TWOUltra-capacitor Energy Storage Device
1. A bit of history of ultra-capacitors2. How does ultra-capacitor work3. Material4. Technologies overview5. Advantages and disadvantages6. Ultra-capacitor macro model7. Charge and discharge Methods8. Frequency dependent losses and thermal aspects9. Integration of the ultra-capacitor into power conversion
system10. Ultra-capacitors today and tomorrow
14
Ultra-capacitor History• The double layer capacitor effect was described by Helmholtz in 1879• Almost a century after that, a first ultra-capacitor was patented by Standard
Oil Company in 1966• A decade after NEC developed and commercialized this device in 1978• The first high power ultra-capacitor was developed for military applications by
the Pinnacle Research Institute in 1982• Ten years after, in 1992, the Maxwell Laboratory had started development of
DoE ultra-capacitors for hybrid electric vehicles• Today, the ultra-capacitors are commercially available from numerous
manufacturers
15
How does ultra-capacitor work?
Ultra-capacitor is an electrochemical capacitor composed of:1. Two current collectors2. Two electrodes made of porous conducting material (activated carbon…)3. A separator, and 4. Electrolyte• The electrodes are separated by the separator and immersed in the electrolyte
One layer virtual capacitor
One layer virtual capacitor
16
• Each layer forms a capacitor The dielectric is a layer of ions. Relative
permeability εR~10 The dielectric thickness is d, diameter of the ions,
approximately d~10 Å Operating voltage is 1-3V, being limited by decomposition
voltage of the electrolyte The surface A is contact surface of the porous electrode,
theoretically A~2000m2/g for activated carbon electrode
Theoretically, specific capacitance C~125F/g @ 2.5V 390kJ/kg Overestimated capacitance, in reality it is 6 to 12F/g (5-10%)
• Electrode is conducting and very porous material• Positive and negative ions form a layer attached to the electrode surface
d
AC R02
How does ultra-capacitor work?
17
1. Simple double layer model is not accurate • Very first work, Helmholtz in 1853
• A layer of electrolyte molecules attached to the electrode• Overestimated capacitance, no voltage dependency
• Gouy and Chapman, 1910 and few years later • Considered a space distribution of
the charge• Stern, 1924
• Real dimension of solvent molecules• The space charge in two layers compact
layer and diffused layer
d
AC R
kT
qzch
kT
nqAzC M
2
2' 0
2
kT
qzch
kT
nqAzC D
D 2
2' 0
2
How does ultra-capacitor work?
18
2. The porous electrode contact surface is overestimated
• Theoretically A~2000m2/g for activated carbon electrode
• Practically, 10 to 20 % of the theoretical one• The electrode pores are not uniform
• Large pores• Medium, and • Small pores
• Ions do not penetrate in medium and small pores.• The effective surface is much smaller than the
theoretical oneZoomed in pore of porous activated carbon electrode. The ions penetrate only in large pores
How does ultra-capacitor work?
19
Ultra-capacitor Material • Current collector
a) Metal foil (Al, etc., etc.)• Electrode
a) Carbon (Activated carbon, Carbon nanotubes, Fibers)
b) Metal oxides c) Polymers
• Electrolytea) Organic (Operating voltage ~2.8V, Good energy density, High series resistance,
Low power density, External balancing circuit is required)
b) Aqueous (Operating voltage ~1V, Low series resistance, Good power density, Good voltage balancing even without external circuit)
• Separatora) Organic (Polymer, Paper)
20
Technologies Overview
21
Advanatges & Disadvanatges
Advantages
1. High specific power >10 [kW/kg]2. Low internal resistance3. High output power4. High cycling capability >500 000 [cycles]5. No chemical action6. Long life ~20 years7. Low cost per cycle8. Very high rate of charge/discharge 9. Improved safety10. Simple charge/discharge method
Disadvantages
1. Low specific energy <10 [Wh/kg] for standard ultra-capacitors
2. Voltage varies with state of charge Need for interface converter
3. High self-discharge rate4. Low cell voltage. Need for series
connection of cells into a module5. Low internal resistance may create an
issue in case of short circuit
22
• Macro (Electrical) model• The control system analysis and
synthesis, and • Losses calculation and thermal design
• Two main effects1. Voltage dependent capacitance
2. The charge time/space distribution due to porosity of the electrodes
• Nonlinear transmission line • Nth order RLCG ladder network as an
approximation• The inductance L and shunt
conductance G (leakage ) neglected
0CufC
Ultra-capacitor Macro Model
23
• Nonlinear distributed network• Voltage dependent capacitance and resistance• Linearization around an operating point uC0=UC0
• Small signal Nth order ladder RC network
• ESR RC0(ω) and capacitance CC0(ω)• Parasitic inductance is neglected at the
frequency of interest
ESR versus frequency
0,3
0,35
0,4
0,45
0,5
0,55
0,6
0,001 0,01 0,1 1 10 100 1000
Fequency [Hz]
ESR
[m
Ohm
]
Capacitance versus frequency
0
500
1000
1500
2000
2500
0,001 0,01 0,1 1 10 100 1000
Fequency [Hz]
Cap
acit
ance
[F]
Ultra-capacitor Macro Model
An example: 2500F ultra-capacitor cell. The parameters at U0=1V
0
00 )(
1)(00
CC
CCCC
UuCUuCUuC Cj
RjZ
24
Frequency Dependent Capacitance and Energy Capability
• The capacitance depends on frequency CC0(ω)• Is it reflected to a real application and how?• Specific energy depends on frequency (pulse width), Fig A• The capacitor is charged with a short pulse and a long pulse, Fig B
• Final state of charge is expected to be the same in both cases , but it is not a case
A. Specific energy versus pulse width B. Pulse width effect on final state of charge
1
2
2
1
0
01200
C
CC U
UUCE
25
Simplified Model• First order nonlinear RC model
• ESR RC0 is assumed constant• The capacitance is voltage dependent
• The ultra-capacitor current
CCC ukCuC 0
dt
duuC
dt
du
du
udCuuC
t
Qi C
CIC
C
CCCC
26
Simplified Model
27
Capacitance versus Voltage
Capacitance & ESR versus Temperature
CCC ukCuC 0
25exp45.025155.00 RESR
Simplified Model
28
0
6
00
1
1035.65.24
96.0ln CC
T
C
TRP
60
max02 102 C
UR CP
tUii CPP ,,max0
Leakage current modeled by a Shunt Resistor
Leakage current modeled by a Shunt Current Source
(4% @ T=72h)
(2uA/F)
Simulation/Control Model
29
CC
CC
ukCi
dt
du
2
1
0
Large Signal (Nonlinear) Model
Small Signal (Linear) Model
000 CCCC iRuu
C
CC
CCC
CC
C uUkC
Iki
UkCdt
ud 2
0
00
0 2
2
2
1
000 CCCC iRuu
Ultra-capacitor Energy Capability
30
• Stored Energy
• “Energetic” Equivalent Capacitance
• Energy realized to the load
• Specific Energy
220 2
1
3
4
2
1CCECCCCC uuCuukCuE
CCCE ukCuC
3
40
DCHT
CCCCCCC
LOSSESCC
dttitRUUkUUC
EEE
0
200
3min
3max
2min
2max
0
0
3
2
2
M
uukCuSE
CCC
CC 2
3
4 20
Ultra-capacitor Energy Efficiency
31
• Charging /Discharge Efficiency
• Round Trip Efficiency
CHCH
CH
IN
CHINCH EE
E
E
EE
DCH
DCHDCH
DCHOUT
OUTDCH E
EE
EE
E
CHCH
DCHCH
CHCH
DCHDCH
IN
OUTRTP EE
EEE
EE
EE
E
E
0
Ultra-capacitor Power & Current
32
• Maximum Power
• Maximum Power IEC 62391-2
• Maximum Specific Power
• Maximum Specific Power IEC 62391-2
• Maximum 1s Current• Carbon Loading
Capability
0
2
0 4 C
CMAX R
uP
0
2
0 12.0C
CD R
uP
MR
uSP
C
C
0
2
max0 4
MR
uSP
C
CD
0
2
0 12.0
12
1
00
0max
C
C
RC
CuI
CLCL kCI 0max
Frequency Dependent Losses
• ESR RC0 depends on frequency
• Consider steady state operating voltage U0
• The system is linear (linearized)• However
• If the current is sinusoidal• Instantaneous terminal voltage and
power
tRR CC 00
tiRtu CCESR 00
)sin( 000 tIti CC
ESR versus frequency
0,3
0,35
0,4
0,45
0,5
0,55
0,6
0,001 0,01 0,1 1 10 100 1000
Fequency [Hz]
ESR
[m
Ohm
]
The capacitance C0=2500F at operating point U0=1V.
Nominal voltage UC0=2.5V
tiRtIRtUtu CCCCESRESR 00000000
)sin()sin(
titiftitutp CCCESR 000)(
00 CC RR
33
Frequency Dependent Losses
0
000 sink
kkCC tkIti
0
0000 sink
kkCCESR tkIkRtu
0
00000
00 sinsin)(k
kkCCk
kkC tkIkRtkItp
0
20002
1)(
kkCAV IkRTP
Voltage and current
The current spectrum
34
Case A: • The current is periodic .• The terminal voltage and instantaneous power
• Average power PAV over a period T
Frequency Dependent Losses
dejIjRtu tjCESR
02
1
dejIjRdejItp tjC
tj
024
1)(
dejIti tj
2
10
0)(1
lim2
2
T
TT
AV dttpT
P
dtdejIjRdejIdttpE tj
Ctj
RESR
024
1)(
Voltage and current
The current spectrum
35
Case B: • The current is not periodic . • The terminal voltage and instantaneous power
• Energy EESR determines the ultra-capacitor thermal image
Ultra-capacitor Thermal Model
36
Heat Generation1. Irreversible heat generation, 2. Reversible heat generation
Thermal Equivalent Model .
Cell Thermal Model
Simplified 1st order Model
Ultra-capacitor Thermal Model
37
Cell Temperature A general case
A Very Short Pulse non-repetitive Pulse
A Very Long Pulse, or
A Train of Repetitive Pulses at High Frequency
THTH
THC CsR
RsPs
10
TH
Ct
C
TH C
Edttp
Ct
0
0
0
1
THC Rtpt 0
TH
T
C
RP
RdttpT
tRP
0
0
1
Charge and Discharge Methodes
1. Constant voltage• The ultra-capacitor charge/discharged from/to
voltage VBUS via a resistor R0
• The resistor is must, but not practical• Low efficiency
2. Constant current• Very common method in applications• Maximum discharge power and current
Constant voltage charge/discharge circuit
Constant current charge/discharge circuit
0
2
0 4 C
CMAX R
uP
0
0
C
CMAX R
uI
• Maximum charge power and current
• limited by the current source terminal voltage U0max
0
max0max00
C
CMAX R
uUUP
0
00
C
CMAXMAX R
uUI
38
3. Constant power• The most common method in applications• Maximum discharge power
• • If the power source exceeds maximum power, the
voltage collapses• Maximum charge power is limited by the power source terminal voltage
• Charge/discharge current (resistance RC0 is neglected)
Constant power charge circuit 0
2
0 4 C
CMAX R
uP
0
max0max00
C
CMAX R
uUUP
Charge and Discharge Methodes
tPUC
UC
U
Pi
CC
C
C
CC
02
0
200
0 2
39
Ultra-capacitor Modules
40
• Cell voltage is very low, not practical for power conversion application
• N cells are series connected in a module,• M cells are parallel connected
Ultra-capacitor Modules
41
Module Voltage [V]
Capacitance [F]
SE [Wh/kg] Weight [kg]
Maxwell Technologies
BMOD0500 16 500 3.2 5.51
BMOD0083 48 83 2.6 10.3
BMOD0130 56 130 3.1 18
BMOD0094 P075 75 94 2.9 25
BMOD0063 P125 125 63 2.3 65
LS MTRON Ultra-capacitorsLS 16.2V / 500F 16.2 500 3.5 5.1LS 33.6V/250F 33.6 250 4 9.8LS 50.4V/167F 50.6 166 3.43 17.2LS 201.6V/41F 201.1 41 2.21 104
Integration of the Ultra-capacitor into the Conversion System
• The ultra-capacitor voltage varies with the state of charge (SOC)
• If the ultra-capacitor is directly connected 1. The ultra-capacitor is oversized
• Not cost and size effective2. The conversion system voltage
rating is N+1• Not cost effective• Efficiency issue
Not convenient to directly connect the ultra-capacitor to the conversion system
42
NNC
C
E
E
u
u
0
0
Integration of the Ultra-capacitor & the Conversion System
• The ultra-capacitor voltage has to be matched with the power processor dc bus voltage VBUS
• An ideal transformer with variable gain M
• Bidirectional “Loss-free” dc-dc converter emulates an ideal transformer
• Topology of dc-dc converter in numerous variety
00 CC
BUS
u
const
u
VM
43
• Mature technology• Numerous products in mass-production• The cost is driven by the market, mainly automotive industry• The cost prediction for 2010 was 1.28US$ per kJ on cell level
• The cost on module level >double • Packaging cost• Voltage balancing circuit cost
• Significant cost reduction is expected • Development of high energy density
devices• Higher capacitance• Higher cell voltage
• Mass-production and application
The Ultra-capacitors Today
44
The Ultra-capacitors of Tomorrow Development Objective
1. Energy density at least x10 of the existing (50Wh/kg to 100Wh/kg)2. Lower internal resistance, <50% of existing
• Higher power density
3. Higher cell voltage• Lower number of series connected cells into a string, higher reliability
4. Self balancing capability• No need for an external balancing circuit, lower complexity, lower cost, higher
reliability
5. Higher operating temperature• >85ºC, >10 years life time
6. Strongly voltage dependent capacitance (Voltage-SOC characteristic )• Smaller variation of the terminal voltage• Higher minimum discharge voltage , lower current rating, smaller interface dc-dc
converter
45
The Ultra-capacitors in Development
Existing Nano tube Nano gate EesE Mega Farad ultra-cap
Energy density [Wh/kg]
~5 20-40 50-80 280 500
Operating voltage [V]
~2.8 ~3 ~3.9 3000 <2.8
Internal resistance[mΩ]
~0.66+1000/C As existing As existing Low ???
1. Nano tube carbon electrode. Uniform pores and much higher effective surface. The concept developed at MIT [5]
2. Nano gate. The concept developed in Okamura Laboratory [6]3. EesE, high voltage multilayer ceramic capacitor. The dielectric is high
permittivity ceramic [7]4. Mega Farad Ultra-capacitor. Additional thin layer of high permittivity
material on top of the activated carbon electrode [8]
46
PART THREEApplications
1. Controlled electric drives2. Renewable energy3. Diesel electric generators4. STATCOM and power quality5. UPS6. Traction drives
47
Application 1: Controlled Electric Drives
The project “Application of ultra-capacitors in controlled electric drives” was sponsored by Schneider Toshiba Inverter, Pacy sur Eure, Franca and the Laboratoire d’Électrotechnique et d’Électronique de Puissance de Lille, l’Ecole Centrale de Lille, Villeneuve d’Ascq, France from 2007 until 2010.
• Electric drives convert electric energy into mechanical energy • Move an object
• > 60% of total electricity production is consumed by electric drives• Numerous applications
1. Hoisting and lift applications2. Machines with intermittent load3. Blowers and Pumps Applications4. Traction drives5. Home appliance drives
48
Application 1: Controlled Electric Drives
Application issues 1. Braking energy
• Dissipated on a brake resistor• 25 to 40% of consumed energy
2. Ride through capability• Critical in certain applications• 10kE up to 1ME per interruption• Ride through time up to 10 to 15s
3. High ratio of peak to average power• Peak power penalties• The installation size and cost• Voltage fluctuation and flickers
Power profile of a 40 t Hoisting application
Power profile of an intermittent load VSD
49
Application 1: Controlled Electric Drives
• Ultra-capacitor energy storage • To store and restore the
drive braking energy• Low voltage ride through
capability• To smooth the drive
power• The ultra-capacitor is
controlled independently from the motor control• As an option
A controlled electric drive with an ultra-capacitor as energy storage
50
Application 1: Controlled Electric Drives
Basic operating modes
• MM: The mains motoring
• B:Braking• STB: Stand by• MC0: Energy
recuperation • RT: Ride through • MM-CH: Mains and
charging• MPFM: Mains power
smoothing
51
Application 1: Controlled Electric Drives
A. Braking and energy recovery B. Low voltage ride through
Rated power PN=5.5kW, The grid voltage VMAINS=400V, dc bus voltage VBUS=650V, Ultra-capacitor C0=0.4F UC0=780V
52
Application 1: Controlled Electric Drives
A. Power smoothing function NO B. Power smoothing function YES
Rated power PN=5.5kW, The grid voltage VMAINS=400V, dc bus voltage VBUS=650V, Ultra-capacitor C0=0.4F UC0=780V
53
Application 2: Renewable Energy • Contribution of wind and solar renewable
sources to total electricity production is dramatically increasing
• Renewable sources are connected to the grid• The production output (power) is not constant
and deterministic• Wind speed• Radiation coefficient
• Significant influence on the grid voltage and frequency regulation and the grid stability• Time scale of couple of seconds
www. ceinsight.com
www.renewablepowernews.com
54
Application 2: Renewable Energy
Wind Energy • Wind speed is not constant and
deterministic • The turbine power strongly depends
on the wind speed
• The blade pitch• To control the turbine power• Smoothing of the wind fluctuations• But, not fast enough• The angle saturation is limitation
• A better method to filter the power fluctuations is a need
3WOUT CvP
Wind speed and turbine power [9] 55
Application 2: Renewable Energy
• Ultra-capacitor energy storage• To smoot the wind turbin output
power1. Decentralized Connection• Connected on the wind mill level• The connection to the dc bus via an
interface dc-dc converter2. Centralized Connection • Connected on the wind park (farm)
level• Only one energy storage and
interface, but Increased the interface complex
(AC-DC & DC-DC) No redundancy
56
Application 2: Renewable Energy
• pGRID smooth
• pWIND>pGRID Ultra-cap chargerd
• pWIND<pGRID Ultra-cap dischargerd57
Application 3: Diesel Electric Generators
Energy sources used to produce electric energy from fuel, such as diesel or natural liquid gas
• Diesel electric generators are the most common solution Diesel Internal Combustion Engine (ICE) drives a
three-phase generator The generator feeds different electric loads, motors
or independent network installations1. Rubber tyred gantry cranes (RTGC)2. Hybrid dampers (Diesel-Electric Traction Drives)3. Hybrid excavators4. Autonomous diesel-electric power supplies
1
2
3
4
www.hardydiesel.com
www.archtings.com
www.toreuse.com
www.allproducts.com
58
Application 3: Diesel-Electric Generators
• An ICE drives a three-phase generator that feeds three-phase motor(s) via a common dc link and dislocated inverter(s)
• A brake resistor burns the drive braking energy. An ICE is not regenerative device!• 30 to 40% of consumed fuel is burned on the resistor…40t RTGC consumption of
15 to 25 [L/hour] • Peak to average power is very high
• The ICE sized on the peak load. The system is oversized, not cost effective
59
Application 3: Diesel-Electric Generators
• Long term UPS, Mobile generators…A Diesel ICE drives three-phase PMSG
• The load is directly connected to the generator• The output frequency and voltage must be constant the generator speed has
to be constant • The engine is oversized and runs at suboptimal operating point
• Low efficiency, high consumption and pollution• The output voltage THD with nonlinear load (diode rectifier)
www.hardydiesel.com
60
Application 3: Diesel-Electric Generators
An ultra-capacitor as short term energy storage device • All the applications have similar
structure• A common solution can be
implemented• Ultra-cap connected to the dc
bus via a dc-dc converter• The ultra-capacitor absorbs
fluctuations of the load power• The generator power is smooth,
while the speed is variable• An optimal operating point.• Fuel saving up to 50% [10]
61
Application 3: Diesel-Electric Generators
• pICE smooth function
• pLOAD>pICE Ultra-cap dischargerd
• pLOAD<pICE Ultra-cap chargerd62
Application 4: STATCOM & Power Quality
• STATic COMpensator (STATCOM) is a three-phase inverter that emulates synchronous voltage source connected to the Point of Common Coupling (PCC) of a power system
• Reactive and distortion power control• PCC voltage control and harmonic compensation
•
63
Application 4: STATCOM & Power Quality
• The STATCOM is not a real voltage source. The dc bus is only a capacitor CBUS with limited energy• Not possible to control active
power flow on long term (<40ms)• Some applications need active
power flow control• Arc furnaces, large drives…...
• Smoothing active power fluctuation
1. The grid fault management • Handling the grid faults
without significant degradation of the supply voltage power quality
64
Application 4: STATCOM & Power Quality
• An ordinary STATCOM equipped with ultra-capacitor energy storage• The ultra-capacitor SOC controlled via an interface dc-dc converter
• Dc bus voltage VBUS=const is controlled • The STATCOM control is independent
65
Application 5: UPS
• Uninterruptible power supplies (UPS):• Uninterrupted, reliable, and high-quality power supply for critical loads• Hospitals, date centers, telecommunication and military facilities
• Static (Static power convertors + Energy storage ) & Rotating (ICE & Generators• On-line, Off-Line & Interactive UPS
• Static UPS: Short and medium term applications, from couple of seconds up to couple of hours
• Hybrid UPS: Long term applications, up to couple of days or undefined period
66
Application 5: UPSShort Term UPS Applications
• From couple of seconds up to couple of minutes• Electrochemical batteries are still the main choice as energy storage• The battery size is defined by the power rating not energy capability
• Not cost effective in case of very short bridging time (<10 to 15s)
• The battery life time and maintenance limiting factor
• Ultra-capacitor as an alternative energy storage• Cost effective in case of short
bridging times• Long life• Fast recharging• Maintenance free
67
Application 5: UPSShort Term UPS Applications
68
Application 5: UPSLong Term Hybrid UPS Applications
• From couple of minutes up to couple of days
• Diesel ICE or Hydrogen as energy source• Warming (start up ) time is couple
of seconds• An additional energy storage with
fast response is the need to bridge the start up time
• Ultra-capacitor is a candidate• The philosophy as short term UPS
69
Application 5: UPSLong Term Hybrid UPS Applications
70
Application 6: TractionOverview
• Rail Vehicles1. Heavy-rail Catenary Supplied Vehicles2. Heavy-rail Diesel-supplied Vehicles3. Light Rail Rapid Transit Vehicles
• Road Vehicles4. Public Transportation Catenary Supplied Vehicles,5. Hybrid Electric Vehicles,6. Electric Vehicles
• Off-Road Vehicles 7. Heavy Tracks and Dampers
1
2
3
4
5http://en.wikipedia.org
71
Application 6: TractionHeavy-rail Catenary Supplied Vehicles
• The drive supplied from overhead line and rail via iron wheels• Supply voltage is 25kV 50Hz and 15kV 16 2/3 Hz
1. Step-down transformer 2. Rectifier3. Traction inverters and three phase motors4. Dynamic brake resistor nd dc-and dc-dc
converter • Brake resistor dissipates the braking
energy• Deceleration and down hill driving
• Braking energy is wasted• Low efficiency, high stress on the supply
grid
72
Application 6: TractionHeavy-rail Diesel-supplied Vehicles
• Traditionally used in North America and in some part of Europe1. Diesel internal combustion engine (ICE) with three phase generator2. Rectifier 3. Traction inverters and three-phase traction motors4. Dynamic brake resistor and dc-dc converter
• Brake resistor dissipates the braking energy • Deceleration, and down
hill driving• Wasted energy
• Low efficiency, High fuel consumption and ICE stress (ICE oversized)
73
Application 6: TractionLight Rail Rapid Transit Vehicles
• Light rail traction drives• Urban public transportation• The drive is supplied from overhead line, dc voltage,1.5kV and 3kV• On-board equipment is
similar to heavy traction vehicles equipment
• The same inconveniences• Braking energy is wasted
• Low efficiency• High stress on the supply grid, voltage
variations due to high supply impedance
74
Application 6: TractionPublic Transportation Catenary Supplied Vehicles
• Very similar to Light Rail Rapid Transit Vehicles• The on-board equipment supplied from overhead lines via two pantographs• The traction drive usually lower power rating than Public Transportation
Catenary Supplied Vehicles
• The overhead dc voltage 750 V
• The same inconveniences • Braking energy is wasted
• Low efficiency • High stress on the supply grid, voltage variations
due to high supply impedance
75
Application 6: TractionHybrid Electric Vehicles
• Vehicles driven by a combination of an internal combustion engine (ICE) and an electric drive
• The ICE operates at the maximum efficiency point1. ICE2.Traction motor/generator3.Traction inverter, and 4.Electric energy storage• Series hybrid• Parallel hybrid
Series hybrid vehicle
76
Application 6: TractionPure Electric Vehicles
• Vehicles driven by an electric drive only1. Energy storage 2. Electrochemical converter3. Electric traction drive
• An electrochemical converter converts stored chemical energy into electric energy
1. Electrochemical batteries• The energy storage and
electrochemical generator2. Hydrogen fuel cells
• Compressed hydrogen• Fuel cell
77
Application 6: TractionThe application issues
• High peak to average power ratio,• Highly positive power whenever the vehicle
accelerates, and• Highly negative power whenever the vehicle
decelerates• High energy sources
• Overhead line supply• Diesel ICE• Electrochemical batteries, fuel cells
• Sensitive on peak power• Oversized
• Do not accept negative power, partially or completely • Dynamic braking resistor and mechanical brake are used
78
Application 6: TractionA Common Solution
• General case vehicle• Common dc link• Voltage VBUS is accessible for “the
external world”• The vehicle is sensitive on peak power,
positive as well as negative • An external energy storage device is
connected to the common dc bus• Energy storage
• Short term (low energy) high power energy storage device
1. An ultra-capacitor, and 2. An interface dc-dc converter
79
Application 6: TractionA Common Solution
The primary source power pPS is smooth regardless on the traction drive load
80
Applications: Summary
• The same structure for all the power conversion applications:• Power conversion
system connected with an ultra-capacitor via a dc link dc-dc convertor
• The ultra-capacitor sizing and control parameters differ from application to application
81
PART FOUR:The Ultra-capacitor Selection & Design
1. Introduction2. Voltage Rating & Capacitance3. Losses & Conversion Efficiency4. The Module Thermal Design5. The Module Design-Voltage balancing6. The Module Design Summary
82
IntroductionThe Objective
• Design the ultra-capacitor for the application requirements
The Fact(s)• An ultra-capacitor is characterized by three main parameters
1) Terminal voltage uC0 • The module voltage rating
2) Capacitance C(uc)+C0
• Energy storage capability
3) Internal resistance RC0
• Losses, efficiency and thermal design
The main design stepsI. Compute the above parameters according to the applicationII. Design the ultra-cap module according to the parameters
83
Voltage Rating & Capacitance
The parameters to be selected according to the application requirements
1. UC0max Maximum operating voltage
2. UC0min Minimum operating voltage
3. UC0inM Intermediate operating voltage
4. UC0N The ultra-capacitor rated voltage
5. C0 The ultra-capacitor rated capacitance
RC0 Equivalent series resistance
C0 and RC0 are not independent parameters
84
Internal & External Voltage
85
External Voltage uC0 and Internal Voltage uC are different
ESR and current
Normalized Voltage difference
The difference cannot be neglected!
N
C CR
11068.0 3
0 CLNC kCi 0
NC
CLN
NC
C
U
kC
U
u
0
3
0
0 11068.0
Capacitance Definition
86
Nonlinear capacitance
Voltage to capacitance coefficient
CCCC ukCuC 00
0
0
0
0
11 kU
C
C
C
U
Ck
NC
N
NNC
NC
C
NC
NC
NC
NN
N
CC uU
kkCuk
U
CC
C
CuC
0
000
0
00
11
CN is the nominal capacitance at the nominal voltage UC0N,
k0 is normalized initial capacitance.
1. Maximum operating voltage UC0max
• depends on the dc-dc converter topology
• m is voltage gain of the interface dc-dc converter. • Directly connected non isolated dc-dc converter, m=1.
maxmax0 BUSC mVU
Voltage Rating
87
System Low Voltage DC
Single Phase 110V
Single/Three Phase 230V
Three Phase 400V
Three Phase 690V
VBUSmax 16 to 56V 150 to 450V 350 to 450 700 to 900V 1000 to 1200V
Application Area
Telecom, UPS,
AutomotiveDomestic
Domestic, Industry in
JapanDomestic and
Industry Industry
00max0max0max , CCCCC RiUUU
1. Minimum operating voltage UC0min
• Determined by the dc-dc converter current capability assuming constant conversion power PC0
• Internal Voltage• Practically, UC0min >=0.5 UC0max
max0
0min0
C
CC I
PU
Voltage Rating
88
0max0min0min0min , CCCCC RiUUU
3. Intermediate operating voltage UC0inM is “a long term” average voltage. It depends on the application profile.
Voltage Rating
89
UPS Application Controlled electric drive Application
3. Intermediate operating voltage UC0inM
• Charging energy
• Discharging energy
CHDCH
CCHCDCHinMC EE
UEUEU
2
min02
max00
CHCH T
CHCC
T
CHCH dtitRdttPE0
200
0
CHDCH T
DCHCC
T
DCHDCH dtitRdttPE0
200
0
Voltage Rating
90
4. The ultra-capacitor rated voltage UC0N
• Determines the ultra-capacitor life time
32
0
010exp exp, kk
U
ukuT
NC
CC
• The operating voltage uC0 is not constant
• Average life time for a given voltage profile uC0(t) and temperature profile (t)
• Voltage rating UC0N for expected life time
The ultra-capacitor operating temperature
uC0 The ultra-capacitor operating voltage
k1, k2, k3 Coefficients
ttuUT CNCAV ,0,0
The ultra-capacitor voltage profile
,0 AVNC TfU
Voltage Rating
91
5. The ultra-capacitor rated capacitance• Voltage dependent capacitor
• The initial capacitance C0
• UC0max, UC0max and ECH, from (4.1),(4.3) and (4.4).
• The ultra-capacitor approximated as a linear capacitor ( kc=0)
• The capacitance is (4.11) determined for the energy capability (4.4)• Is there another criterion to define the capacitance?
• Conversion efficiency, cost, or something else?
20
2max0
30
3max00
2
3
2
inMCC
inMCCCCH UUUUkEC
20
2max0
0
2
inMCC
CH
UU
EC
CCCC ukCuCCuC 00
Capacitance
92
Losses & Conversion Efficiency• The ultra-capacitor losses
• Valid only and only if the ultra-capacitor internal resistance is constant at the frequency of interest
• If not a case, the losses must be computed as frequency dependent losses
0
20002
1)(
kkCAV IkRTP
GDISCHARGINtPUC
C
CHARGINGtPUC
C
PRtP
CC
CCCCC
02
00
0
02
min00
0
200
2
2
93
Losses & Conversion Efficiency• The energy dissipated during one charge cycle
• The resistance RC0 depends on the capacitance C0
0
)(
0
00
0
0
C
CR
C
R CC
CHC
CCCT
CCHC
CCLOSSES EUC
UCCPRdttPEUC
CPRE
CH
2ln
222 2max00
2max00000
0 02
max00
0200
94
20
)2(
0
)1()0(0 C
k
C
kkR RCRCRCC
Losses & Conversion Efficiency
The ultra-capacitor module resistance versus capacitance. The module rated voltage UC0N=800V
95
200
0
17.042.1046.0
CCRC
200
0
68885637.1
CCRC
Losses & Conversion Efficiency• Round trip efficiency is a function of the capacitance C0
0.5 1 1.5 2 2.5 3
75
80
85
90
95
100
Eef
fici
ency
[%
]
Capacitance Co [F]
4kW5.5kW7.5kW11kW15kW
500 1000 1500
75
80
85
90
95
100
Eff
icie
ncy
[%]
Cost [€]
4kW5.5kW7.5kW11kW15kW
)(21100 0CE
E
CH
LOSSES
• Round trip efficiency is a function of the capacitor cost
96
The Module Design• Series-parallel Connection • N number of series
connected cells
• M number of parallel connected cells
97
cellCON
NC
U
UfloorN 0
N
C
CfloorM
cellN
N
The Module Thermal DesignThe problem(s) identification
• The internal temperature distribution has an enormous influence on the ultra-capacitor life time
• Understanding the ultra-capacitor thermal picture and an optimal cooling strategy are crucially important
Thermal Design Steps1. Thermal model identification
• Complex 3D model• Simplified 1D model
2. Losses calculation3. Hot spot temperature calculation4. Cooling system design for given temperature and power profile
98
The Module Thermal DesignSingle cell 1D model
• A cell is divided in sub-domains• Pj losses of j-th sub-domain
• Cj thermal capacitance of j-th sub-domain
• Rj j-th sub-domain to the cell case thermal residence
• j temperature of j-th sub-domain
• C temperature of the cell
• RC_A the case to ambient thermal resistance
• AMB ambient temperature
99
The Module Thermal DesignThe module 1D model
• PCn losses of the n-th cell
• CCn thermal capacitance of the n-th cell
• Rnn the n-th cell to the module case thermal resistance
• R1n the 1-st cell to the n-th cell cross coupling thermal resistance
• Cn temperature of the n-th cell
100
The Module Thermal Design
Thermal Design Steps
Step 1 If possible identify hot spot domain power and thermal resistance Pj, Rj
Step 2 Define hot spot maximum temperature jmax For expected life time (4.8)
Step 3 The cell case maximum temperature
Step 4 The module case maximum temperature
Step 5 The module to ambient thermalresistance
Step 6 Cooling system design
jjjC PR maxmax
nnnCM PR maxmax
n
AMBMAMBM P
R maxmax_
101
Voltage Balancing• An elementary cell voltage is low UC01~2.7V,
• Not sufficient for power conversion applications• UC0N is tens and hundreds volts• Tens and hundreds of cells series connected
• Total module voltage may not be equally distributed1. Dispersion of the cells capacitance, ~ +/- 20%
• Dynamic variation of the voltage
2. Dispersion of the cells equivalent series resistance• Dynamic variation of the voltage
3. Dispersion of the cells leakage current• Long term voltage variation
• A voltage balancing circuit is required to prevent the cell overvoltage and the life time degradation
dtiC
dtiC
dtiC C
n
CC 0
0
0
02
0
01
1......
11
00002001 .......... CnCCCCC iRiRiR
dtiC
dtiC
dtiC n
n
0
0
02
02
01
01
1......
11
102
String Voltage Balancing1. Passive resistive balancing circuit
• Additional leakage current , low efficiency, high reliability, no dynamic balancing capability
2. Passive voltage clamping circuit• The cell voltage is limited but not equally
distributed on the cells, limited dynamic balancing capability
3. Switched resistor balancing circuit• Voltage actively controlled, low efficiency, limited
dynamic balancing capability
4. Switch mode balancing circuit• Voltage actively controlled, good balancing
capability, high efficiency, high complexity
1 2
43
103
String Voltage Balancing• Switch mode balancing circuit,
• Active voltage sharing control, • Good balancing capability, • High efficiency, • High complexity
A. Centralized fly-back converter• No feedback control is required,• Multi-winding transformer is
complexB. Decentralized half bridge
• Simple inductors n-1• Feedback control is required,• High number of switches 2n-2• Complex control and driving circuit A B
104
The Module Design SummaryStep 1 Select the module rated voltage
Step 2Select the module capacitance for
given energy capability or efficiency required
Step 3 Number of series connected sub-cells
Step 4 Capacitance of a sub-cell
Step 5 Number of parallel connected cells
Step 6 Thermal design If needed, go to step 4, select new cell and repeat steps 5 and 6
Step 7 Voltage balancing circuit
10
0intNC
NC
U
UN
NCC 001
CC
CM
0
01int
,0 AVNC TfU
20
2max0
0
2
inMCC
CH
UU
EC
0C
105
Ultra-capacitor Testing• The internal resistance and capacitance-Charge/discharge Test
106
Ultra-capacitor Testing• The internal resistance and capacitance-Charge/discharge Test
107
Test Cycle Definition
ESR Determination Capacitance Determination
DCHC
CC I
uR
0
00
0201
0
CC
DCHCN UU
tIC
Ultra-capacitor Testing
108
Hold Method Hold Time Charge
CurrentDischarge Current Referent Voltages
Open circuit
THOLD IC0(CH) IC0(DCH) UC01 UC02
30min 75mA/F 75mA/F80% of UC0max
40% of UC0max
Test parameters defined by EC62391 standard
Hold Method Hold Time Charge
CurrentDischarge Current
Constant Voltage
THOLD IC0(CH) IC0(DCH) UC01 UC02
30s 50mA/F 5mA/F60% of UC0max
30% of UC0max
Test parameters defined by EUCAR standard
Ultra-capacitor Testing
109
Hold Method Hold Time Charge
CurrentDischarge Current
Constant Voltag
THOLD IC0(CH) IC0(DCH) UC01 UC02
300s90% of UC0max
70% of UC0max
Test parameters defined by IEC62576 standard
2min
2max0
3min
3max
0
minmax02
min2
max0
0
0
31
4
1
6
95.01
CCCCN
CCCC
NC
DCH
UUkUUU
k
UUkUUU
k
R
I
Charge/Discharge Current specified for minimum 95% efficiency
Ultra-capacitor Testing• Leakage Current & Self Discharge Test
110
Test set-up
Self Discharge: Measurement ProcedureLeakage Current: Measurement procedure
PART FIVE:The Interface Converter
1. Introduction 2. State of the Art 3. The Converter Design4. Design Example5. Control of The Interface Converter6. Controller Design Example
111
Introduction• Flexible and controllable interface between the ultra-capacitor and the power
processor• Required due to the ultra-capacitor voltage to SOC characteristic• For the system flexibility, controllability and efficiency• The interface is a bidirectional dc-dc power convertor• The dc-dc converter control• To control of the dc bus voltage VBUS, the ultra-capacitor SOC (uC0)…etc.• The control can be independent from the power processor control
112
A. Current source Converters Input Current iSW1
continuous, Output Current iSW2
discontinuous, Input Voltage uSW1
discontinuous Output Voltage uSW2
continuous,
C. Voltage Source Converters Input Current iSW1
discontinuous, Output Current iSW2
continuous, Input Voltage uSW1
continuous Output Voltage uSW2
discontinuous,
Background & Classification
113
A. Full scale rated converter
B. Fractional power rated converter
C. Non-isolated dc-dc converter• Galvanic connection between the input
and outputD. Isolated dc-dc converter
• The converter input and output coupled via a high frequency transformer
0CDCDC PP
0min0
0 1 C
BUS
CCDCDC P
V
UPP
Background & Classification
114
A. Two-Level Converter Output Voltage 0 or VBUS
B. Multi-Level Converter N series connected semiconductors=VBUS
Output Voltage N steps between 0 and VBUS
C. Single-Cell Converter One semiconductor cell=Output current
D. Multi-Cell Converter N Paralleled cells =Output Current
Cell Current is a fraction of the output current
Background & Classification
115
1. Single phase buck convertor • Simple topology• The voltage gain m 1• Full dc bus voltage rating• High switching loses• Limited switching frequency
2. Multi phase interleaved buck convertor• Parallel connected n single phase modules
with shifted switching• The output current ripple 1/n• The inductor ripple high• Low switching losses• The inductor losses are high
State of the Art
116
Cascaded two level single phase modules• The voltage gain (0<m<)• Double conversion, cost & losses
3. Boost-buck convertor• The input and output currents are continuous• Two inductors, one capacitor
• Size and cost• The devices voltage rating
4. Buck-boost convertor• The input and output currents are
discontinuous• Two capacitors, one inductor
• Size and cost
State of the Art
117
Multi level converters• The device voltage rating, VBUS/(n-1)
• Cost effective , high efficiency • Small output filter inductor• Small input filter capacitor• Complex control• The voltage gain m 1
5. Three-level flying capacitor convertor • The ultra-capacitor reference is minus dc bus• An additional flaying capacitor
6. Three-level flying output convertor• No additional components• The ultra-capacitor is floating, Common mode
voltage
State of the Art
118
Isolated Converters• Isolation• High voltage
ratio• Complex and
expensive
7. Single-Phase Double Active Bridge (DAB)
8. Three-Phase Double Active Bridge (DAB)
State of the Art
119
Application Summary
120
Non-Isolated Interface Converters when galvanic isolation not required, Two-Level Single-Cell & Multi-Cell Interleaved Converters:• Medium & High Power Applications• Low voltage applications, the DC bus voltage VBUS<1400V Switching frequency fSW<10kHz 600V, 1200V & 1700V IGBTs and PiN Diodes are used CollMOS used only in discontinuous conduction mode (DCM).
Three-Level & Multi-level Converters are used in following cases:• Low Voltage Applications, the DC bus voltage VBUS<1400V Low & Medium Power High frequency & High power density applications Switching frequency fSW>10kHz 600V & 1200V IGBTs and PiN Diodes are used CollMOS used only in discontinuous conduction mode (DCM).
• Medium Voltage Applications The dc bus voltage VBUS>1400V Switching frequency fSW<10kHz 1200V & 1700V IGBTs and PiN Diodes are used.
Current & Voltage Definition
121
ConstIi
ConstIi
CHCC
DCHCC
00
00
tIC
Utu
tIC
Utu
CHCC
DCHCC
0
0
0
0
0
0
1
1
0,
2
0,2
0
02
00
200
0
00
0
02
00
200
0
00
CHC
CHCC
C
C
CHCC
DCHC
DCHCC
C
C
DCHCC
PtPUC
UC
U
Pi
PtPUC
UC
U
Pi
0,2
0,2
0
0
020
0
00
0
0
020
0
00
CHCCHC
C
C
CHCC
DCHCDCHC
C
C
DCHCC
PC
tPU
ti
Ptu
PC
tPU
ti
Ptu
Constant Current Mode Constant Power Mode
Current
Terminal Voltage
Current
Terminal Voltage
The Converter DesignA design example: Three-level floating output dc-dc converter
A. PWM strategy• Minimization of LC0 and C1, C2 • Losses minimization
B. Selection and design of output filter inductor LC0
C. Selection of input filter capacitors C1 and C2
D. Selection of semiconductor switches SW and freewheeling diodes D
E. Cooling system design
122
A. PWM strategy• PWM carriers shifted for
radians• Effective output frequency• Reduced output current
ripple and input voltage ripple
• The input voltages vC1 and vC2 balanced controlling duty cycles d1 and d2
The Converter Design
123
B. Selection and design of the output filter inductor LC0
1. The inductance LC0
at saturation current
• ΔiC0max the current ripple, fSW switching frequency
2. The inductor losses
• Duty cycle when the ultra-capacitor is discharged with constant power PC0 from max operating voltage UC0max
lossescoreandcopperfrequencyHigh
CfCfCu
lossescopperfrequencyLow
BUS
CDCCLC
ddd
dddiRR
dV
PRdPP
SWSW
12/1,112
2/10,21
3
16,
22
222
max022
2
000
tPUC
UC
U
Vd
CC
C
C
BUS
02
max00
2max00
max0 2
16max0
max0
SWC
BUSC fi
VL
max0
min0
00 C
C
CsatC i
U
PI
The Converter Design
124
C. Selection of the input filter capacitors C1,C2
1. The capacitance C
at
• ΔvBUSmax the dc bus voltage ripple, fSW switching frequency
2. The capacitor losses
• Duty cycle when the ultra-capacitor is discharged with constant power PC0 from max operating voltage UC0max
2
223,
2max
max
0
max
0
SWBUSBUS
C
SWBUSBUS
C
fvV
P
fvV
PC
ESR
CC
C
C
BUS
CC
C
C
BUS
BUS
CESR
BUS
CC R
tPUC
UC
U
V
tPUC
UC
U
V
V
PR
d
d
V
PP
02
max00
2max00
max0
02
max00
2max00
max0
2
0
2
0
2
21
1
The Converter Design
125
D. Selection of the semiconductor switches1. Voltage rating
2. Current rating
3. The device technology • Defined by the device voltage rating
and switching frequencya) Si MOSFET, Si IGBTb) SiC JFET, SiC MOSFETc) Si PiNd) SiC SBD
VV
VV BUSDSW
2max
maxmax
max0
min0
0maxmax C
C
CDSW i
U
PII
V commutationover-voltage
The Converter Design
126
D. Selection of the semiconductor switches4. The device losses
• The current is positive, the switches SW1A and SW2B, and diodes D2A and D1B are conducting
0
2
1
21
02
200
021
ASWBSW
SWITCHING
SWOFFONNN
C
CONDUCTION
BUS
CSW
BUS
CSWBSWASW
PP
fEEdIV
P
dV
Pr
V
PVPP
0
2
11
21
02
200
012
BDAD
SWITCHING
SWQNN
C
CONDUCTION
BUS
CD
BUS
CDBDAD
PP
fEdIV
P
d
d
dV
Pr
V
PVPP
QDD
OFFONSWSW
ErV
EErV
,,
,,,
0
0 The device static and switching parameters
The Converter Design
127
The Converter Design ExampleNominal power PC0=5500W
DC bus nominal voltage VBUS=700VUltra-capacitor max voltage UC0max=700VUltra-capacitor min voltage UC0min=350V
Switching frequency fSW=25kHzThe current ripple ΔiC0=3A
IGBT/FWD 600V 30A
VSW rSW *EON+EOFF VD0 rD *EQ
0.8V 27mΩ 80µJ/A 0.9 V 20 mΩ 10µJ/A*Switching losses at VN=300V TJ=150˚C
FILTER INDUCTOR LC0 CAPACITOR C1, C2
High Flux Powder Core (2x) 58192-A2 MKP EPCOS B32774D4106L RDC RAC RC C1, C2 ESR
580µH 38mΩ 0.8Ω 3Ω 2x10µF 3.75mΩ
128
The Converter Design Example
0.50.6
0.70.8
0.9
10002000
30004000
50000
10
20
30
40
50
Duty cycle d (~uC0/vBUS)
The switch losses versus conversion power and duty cycle
Load Pco[W]
The switch losses [W
]
0.50.6
0.70.8
0.9
10002000
30004000
50000
5
10
15
20
Duty cycle d (~uC0/vBUS)
The diode losses versus conversion power and duty cycle
Load Pco[W]The diode losses [W
]
The switches SW1A, SW2B and diodes D1B and D2A losses. The dc bus voltage VBUS=700V, switching frequency fSW=25kHz
129
The Converter Design Example
0.50.6
0.70.8
0.9
10002000
30004000
500096
97
98
99
100
Duty cycle d (~uC0/vBUS)
Efficiency versus conversion power and duty cycle
Load Pco[W]The Efficiency [%
]0.5
0.60.7
0.80.9
10002000
30004000
50000
5
10
Duty cycle d (~uC0/vBUS)
Inductor losses verus conversion power and duty cycle
Load Pco[W]
The losses [W
]
The inductor total losses and the converter efficiency . The dc bus voltage VBUS=700V, switching frequency fSW=25kHz
130
The Converter ControlThe Control Objective(s)
1. Low level converter control (sate of the art)• PWM and protection• Voltage balancing (three level converter )• Current balancing (multiphase interleaved converter)
2. The ultra-capacitor current control (state of the art)• Current limitation
3. The ultra-capacitor voltage control• State of charge (SOC) control
4. The conversion process control• The power processor input or output power (pIN,
pOUT) control• Not necessarily coupled with the power processor
control
131
The Converter ControlThe ultra-capacitor voltage control
1. SOC~ the ultra-capacitor voltage uC0
2. Whenever it is possible, regulate uC0 at intermediate level UC0inM
• UC0inM determined by the application parameters (4.3)
• Controlling uC0 at UC0inM gives maximum flexibility of the power conversion system
3. Limit the ultra-capacitor voltage at maximum operating voltage UC0max
4. Limit the ultra-capacitor voltage at minimum operating voltage UC0min
132
The Converter ControlThe conversion process control
• Numerous possibilities for the power process control• Control via the common dc bus voltage one of the
simplest control schemes [4]1. The power processor controls the dc bus voltage at the
reference VBUS(REF)
• VBUS(REF) is fixed or flexible, defined by the power processor or the conversion process
2. Whenever it is necessary, the ultra-capacitor converter controls the dc bus voltage to lower reference VBUS(min) or upper reference VBUS(max).• VBUS=VBUS(max)The ultra-capacitor is charged
• VBUS=VBUS(min)The ultra-capacitor is discharged
3. The bands V1=VBUS(REF)-VBUS(min) and V2=VBUS(max)-VBUS(REF) are small enough to be acceptable by the power processor
VBUS(REF)<VBUS(max)
VBUS(REF)>VBUS(min)
USF Under supply faultOVF Overvoltage fault
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An example: Controlled electric drive with ultra-capacitor energy storage
The Converter Control
• The rectifier (AC-DC) controls the dc bus voltage at the reference VBUS(REF)
• The dc-dc converter controls the dc bus voltage at lower or upper reference and charges/discharges the ultra-capacitor
• The ultra-capacitor controller is independent of the rectifier controller• References must be set as VBUS(min) <VBUS(REF)<VBUS(max)
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The Converter Control
Control schema of an ultra-capacitor energy storage unit applied on a controlled electric drive [4]
135
The Converter Control
BUS
LOAD
BUS
C
BUS
MAINSBBUS v
p
v
p
v
p
dt
dvC 0
MAINSMAINSMAINS ivp
0
000000
dt
diLiiup CCCCCC
00 2 CC
CC idt
duukC
000 CCCC iRuu
BUS
LOAD
BUS
C
BUS
RECESRBBUS v
p
v
p
v
pRvv 0
Large signal (non-linear) model
• Controlled power sources pMAINS, pC0 pLOAD
• Control variables iMAINS and iC0
• Disturbances vMAINS and pLOAD
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Small signal (linear) model• Linearization & small signal model• The controllers synthesis
EDISTURBANC
MAINS
LOAD
vMAINSP
CONTROL
MAINS
C
MAINSBUSCBUS
C
BUS
C
sv
sp
sGsGsi
si
sGsG
sG
sv
su
0000
0
00
P
ZC
svsp
siC
CC s
sR
si
susG
REC
LOAD
REC
0
0)(0)(
0)(0
00 )(
)(
BUSBUS
ESRBUS
svsisi
LOAD
BUSP VsC
RsC
sp
svsG
RECRECC
1
)(
)(
0)(0)(
0)(0
BUSBUS
CCCESRBUS
svsp
siC
BUSCBUS VsC
RIURsC
si
svG
RECLOADREC
000
0)(0)(
0)(0
)0(
1
)(
)(
The Converter Control
137
The Converter Control
Experimental waveforms of the dc bus voltage VBUS [100V/div], the mains current iMAINS [5A/div] the ultra-capacitor current iC0 [5A/div] and voltage uC0 [100V/div]. The load is cycling (10% to 100% to 10%) VBUS(REF)=650V, VMAINS=400V, CBUS=820µF,PLOAD=5500W. a) fBOOST=50Hz and b) fBOOST=1Hz [4]
138
PART SIX:Key Message
139
Key Message• In this course we have discussed ultra-capacitors as emerging
technology for short term energy storage• Candidate for power conversion applications
• We have identified ultra-capacitors as major candidate for short term energy storage in numerous power conversion applications
• Compare to electrochemical batteries, ultra-capacitors have: • Higher power density• Higher cycling capability• Longer life time• Higher operating temperature• Higher safety
140
Key Message• However, current performances are not sufficient for replacement of
electro-chemical batteries in some power conversion applications• Energy density• Cost per kWh• Module design
• The aspects to be significantly improved in future development:• Energy density >(20-50)Wh/kg• Higher operating voltage and self balancing capability• Flat voltage to SOC transfer function
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Selected References1) B. E. Conway, “Electrochemical supercapacitors, scientific fundamentals and technological
applications, “Kluwer Academic/Plenum Publisher, New York 1999.2) F. A. Burke, “Ultracapacitors: Present and Future,” Proceedings of the Advanced Capacitor World
Summit 2003, Washington, D.C., August 2003.3) J. M. Miller, U. Deshpande, “Ultracapacitor technology: state of technology and application to
active parallel energy storage systems,” 17th International Seminar on Supercapacitors and Hybrid Energy Storage Systems, pp.9-25, December 2007.
4) Petar J. Grbović, “Ultra-capacitor based regenerative energy storage and power factor correction device for controlled electric drives” PhD Dissertation, Laboratoired’Electrotechniqueetd’Electronique de Puissance (L2EP) Ecole Doctorale SPI 072, Ecole Centralede Lille, July 2010, Lille.
5) R. Signorelli, J. Schindall, D, Sadoway, J. Kassakian, “High energy and power density nanotube ultracapacitor design, modelling, testing and predicting performance,” 19th International Seminar on Supercapacitors and Hybrid Energy Storage Systems, December 2009.
6) M. Okamura, K. Hayashi, T. Tanikawa and H. Ohta, “The nanogate-capacitor has finally been launched by our factory,” In Proc of The 17th International Seminar on Double Layer Capacitors and Hybrid Energy Storage Devices December 10-12, 2007.
142
7) R. D. Weir and C. W. Nelson, “Electrical energy storage unit (EESU) utilizing ceramic and integrated circuit technologies for replacement of electrochemical batteries,” US Patent 7 033 4060 B2, April 2006.
8) B. G. Ezzat, “New mega-farad ultracapacitors,” IEEE Trans. Ultrasonics, ferroelectrics, and frequency control, Vol. 56, No1, pp. 14-21, January 2009.
9) G.Cimuca, S. Breban, M. M. Radulescu, C.Saudemont, and B.Robyns, “Design and Control Strategies of an Induction-Machine-Based Flywheel Energy Storage System Associated to a Variable-Speed Wind Generator”, IEEE Trans Energy Conversion, Vol. 25, No. 2, pp. 526-534, June 2010.
10) Sang-Min Kim and Seung-Ki Sul, ”Control of rubber tyred gantry crane with energy storage based on supercapacitor bank,” IEEE Trans. Power Electronics, Vol. 21, No. 5, pp. 1420-1427, September 2006.
11) Petar J. Grbović, Philippe Delarue and Philippe Le Moigne, “The Ultra-capacitor Based Regenerative Controlled Electric Drives with Power Smoothing Capability,” IEEE Trans. Industrial Electronics, IEEE Trans. Industrial Electronics, Vol.59, No. 12, pp.4511-4522, December 2012.
12) Petar J. Grbović, Philippe Delarue and Philippe Le Moigne, “A Three-Terminal Ultra-Capacitor Based Energy Storage and PFC Device for Regenerative Controlled Electric Drives,” IEEE Trans. Industrial Electronics, Vol. 59, No. 1 pp. 301-316, January 2012.
Selected References
143
13) Petar J. Grbovic, Petar J. Grbović, Philippe Delarue and Philippe Le Moigne, “The Ultra-capacitor Based Regenerative Controlled Electric Drives with Power Smoothing Capability,” IEEE Trans. Industrial Electronics, accepted for publication.
14) Petar J. Grbović, Philippe Delarue and Philippe Le Moigne, “A Three-Terminal Ultra-Capacitor Based Energy Storage and PFC Device for Regenerative Controlled Electric Drives,” IEEE Trans. Industrial Electronics, Vol. 59, No. 1 pp. 301-316, January 2012.
15) Petar J. Grbović, Philippe Delarue and Philippe Le Moigne, “Modeling and control of the ultra-capacitor based regenerative controlled electric drive system,” IEEE Trans. Industrial Electronics, Vol. 58, No. 8, pp. 3471-3484, August 2011.
16) Petar. J. Grbović, P. Delarue, P. Le Moigne and P. Bartholomeus, “The ultra-capacitor based controlled electric drives with braking and ride-through capability: Overview and analysis,” IEEE Trans. Industrial Electronics,Vol. 58, No. 3, pp. 925-936, March 2011.
17) Petar J. Grbović, Philippe Delarue, Philippe Le Moigne and Patrick Bartholomeus, ”A bi-directional three-level dc-dc converter for the ultra-capacitor applications,” IEEE Trans. Industrial Electronics Vol 57. No.10, pp. 3415-3430, October 2010.
Selected References
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18) Petar J. Grbović, Philippe Delarue and Philippe Le Moigne, “Interface Converters for Ultra-capacitor Applications in Power Conversion Systems”, EPE PEMC (ECCE Europe) 2012, IEEE Energy Conversion Congress and Exposition, Novi Sad, Serbia, 2-6 September, 2012.
19) Petar J. Grbović, Philippe Delarue and Philippe Le Moigne, “Selection and Design of Ultra-Capacitor Modules for Power Conversion Applications: From Theory to Practice” IPEMC (ECCE Asia) 2012, IEEE Energy Conversion Congress and Exposition, Harbin, Chine, 2-5 June, 2012.
Selected References
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