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Design and Control of a Multiple Input DC/DC Converter for
Battery/Ultra-capacitor Based Electric Vehicle Power System
Zhihao Li, Omer Onar, and Alireza Khaligh
Energy Harvesting and Renewable Energies Laboratory (EHREL)
Electrical and Computer Engineering Department, Illinois Institute of Technology, 3301 S. Dearborn St.
Chicago, IL 60616; Tel: (312) 567-3444
Email: [email protected]; URL: www.ece.iit.edu/~khaligh
Erik Schaltz
Department of Energy Technology, Aalborg University, Aalborg, Denmark
E-mail: [email protected]
Abstract- Battery/Ultra-capacitor based
electrical vehicles (EV) combine two energy
sources with different voltage levels andcurrent characteristics. This paper focuses
on design and control of a multiple input
DC/DC converter, to regulate output voltage
from different inputs. The proposed
multi-input converter is capable of
bi-directional operation and is responsible for
power diversification and optimization. A
fixed switching frequency strategy is
considered to control its operating modes. A
portion of New York City Cycle that includes
these operation modes is used to perform the
analyses.
I.INTRODUCTION
Concept of electrical vehicles (EV) is a
philosophy that integrates vehicular engineering
and electrical engineering. Energy sources of EV
should satisfy the demands of high energy
density, fast charging and discharging
capabilities, long cycle life, low cost, and low
maintenance [1].
Rechargeable chemical batteries are the
most traditional energy sources for EVs. System
integration and optimization are prime factors to
achieve good performance and affordable cost.
In order to design an EV having comparable
performance with conventional vehicles usinginternal combustion engine (ICE),
battery/ultra-capacitor based power distribution
system is introduced to EV. Proposed
battery/ultra-capacitor system, which is capable
of meeting the demands that vehicle may
encounter under any condition. Battery bank is
capable of supplying the main power to drive the
electric machine; however it is not able to supply
large bursts of power in short durations. For this
reason, the use of ultra-capacitor can be
considered to relieve battery pack from peak
power transfer stress, due to capacitors higher
specific power and cycling efficiency [2].
By combining battery bank and capacitor
tank, it is possible to use a smaller battery with
less peak-output power capability. Therefore, the
cost would decrease significantly and the
efficiency of the energy sources would increase
[3]. Generally, a compact, lightweight, efficientpower system is desired for electrical vehicles
[4]. Fig. 1 shows the configuration of an
electrical vehicle with battery bank and
ultra-capacitor tank as its energy sources,
utilized using a multiple input DC/DC converter.
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Fig. 1. Battery/Ultra-capacitor based EV.
II.CIRCUIT TOPOLOGY AND ANALYSIS
In this paper, a four quadrant multi-input power
electronic converter (MIPEC) is investigated.
The converter is shown in Fig. 2. It is seen that
battery and ultra-capacitor are respectively
connected as inputs to a common inductor
through bi-directional switches. These switches
can be realized by two parallel IGBTs or other
similar devices [5]-[7]. Due to different
conduction cases of diodes and switches, the
converter can be operated in buck, boost and
buck-boost modes for both positive and negative
input powers..
Fig. 2. Multi-Input power electronic converter.
If the inductor current is continuous, it means at
least one switch or one diode is turned on all the
time. Diode is on only if all of switches are
turned off. If more than one switch is turned on
at the same time, the inductor voltage equals to
the highest voltage of the inputs [8]-[12]. In this
research, in order to simplify the operation, we
have following constraints:
UCBattO VVV >>
Inductor current iLis continuousMode A: In this mode, both of the two input
sources deliver power to the output. Because the
voltage level of battery is always higher than
that of the ultra-capacitor, S2Ais turned on all the
time in this mode. The inductor current is
controlled by the switch Q2 and the distribution
of power from the battery and the ultra-capacitor
is controlled by S1A. When the switch Q2 is not
conducting, the diode D3 is turned on. The
multi-input converter is working to boost the
inputs voltage levels, the circuit can be therefore
simplified to the diagram in Fig. 3.
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Fig. 3. Multi-input converter in boost mode.
Let us define VBatt=V1, VUC=V2, CBatt=C1,
CUC=C2, and the equivalent resistance of load
can be defined asRo. In steady-state, the average
inductor voltage is zero. It is assumed that each
switch is operated at the same frequency of 1/Ts
and the leading edge of each signal coincides. In
this mode, there are three intervals based on the
switching frequency and duty rations of the input
switches.
- During the interval of DS1ATs, Q2 is turned on,
and both S1Aand S2Aare conducting, because V1
is higher than V2, so V1is applied to the inductor
for energy storing.
- During the (DQ2-DS1A)Ts interval, when S1A is
turned off, only V2 is effective as the terminal
voltage for inductor, so the ultra-capacitor
supplies energy to the inductor.
- For the (1-DQ2)Ts interval, when Q2 is off, D3
will be turned on to deliver energy to the load.
Since the S2Ais turned on all the time, after Q2is
off, V2 is connected to the load through D3 to
supply the rest of demanded energy. After
state-space averaging, and using state equations
the relationship between inductor current and
duty cycle of switch Q2can be obtained as
2
2
2
2
2 )1(
)1(
)(
)(
QOOO
LOQOOOO
Q
L
DRLssCLR
IRDVsCRV
sD
sI
++
++
= (1)
Mode B: in this regenerative braking mode, the
power is delivered from output to both inputs V1
and V2. The converter works as a buck converter
in this mode. Since the input V2is lower than V1,
the switch S1Bis always turned on. The inductor
current is controlled by switching Q3 and the
distribution of power between V1 and V2 is
controlled by S2B.D2will not be conducting until
Q3is turned off. The two inputs are modeled by
two resistive loads respectively. The circuit can
be reduced as shown in Fig 4.
Fig. 4. Multi-input converter in buck mode.
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In buck mode, ultra-capacitor will get charged
first when both S1B and S2B are conducting.
Therefore, S1Bis turned on all the time. The state
equations can be obtained according to
conducting cases of switches and diodes as
follows:
- In the interval of DS2BTs, Q3 is conducting and
the switch S2B is turned on, the regenerative
power from the load flows into the
ultra-capacitor to and ultra-capacitor is charged.
- During the interval of (DQ3-DS2B)Ts, power
from the load will charge the battery bank
through S1B, after S2B is turned off. In this way,
the power distribution between battery and
capacitor ban be controlled and power
management is provided.
- In the interval of (1-DQ3)Ts, when Q3 is turned
off, D2 is turned on. Since S1B is always
conducting in buck mode, the rest of the energy
stored in the inductor is used to charge the
battery continuously.
By state-space averaging, the state equations can
be obtained and get the relationship between the
inductor current and the duty cycle of switch Q3
as follows:
2
22
2
21
2
21
2
2221
2
2211
3
2121
2211
2
2121
3 )1()))1((()(
)1)((
)(
)(
BSBSBSBS
o
Q
L
DRDsRDCDCRRLsCRCRLsCCRLR
sCRCRsCCRRV
sD
sI
++++++
+++
= ; (2)
III.RESULTS AND ANALYSES
The simulation is based on the New York City
Drive Cycle (NYCC) load profile and lasts for
about 30 seconds. Actually, the whole time
period of NYCC load profile is 600 seconds,
however for the simulation a potion of this drive
cycle is used to perform all modes of operation
instead of using the whole period. In the selected
time period, both accelerating and decelerating
operations are included in order to present the
bi-directional power flow.
The waveform of load current is shown in Fig. 5.
The load current is in accordance to the power
requirement of the drive train. From Fig. 5, it is
seen that the load current starts at t=152, then it
has both increasing and decreasing variationsduring the selected time portion. At about t=166,
the load current becomes negative, which
represents the regenerative braking period. In
this period, energy flows from the load to the
input sources yielding charging of battery and
ultra-capacitor.
Fig. 5. Load current.
Fig. 6 and Fig. 7 show the current waveforms of
battery and ultra-capacitor. Comparing Fig. 6
and Fig. 7, it is shown that the battery current
waveform is much smoother than that of the
ultra-capacitor current. The battery supplies the
main power to the load and there are no
significant oscillations in the battery current
waveform. For the battery, it is not desired to
have large magnitude of oscillations since fast
charging and discharging will reduce the lifetime
of battery. However, the ultra-capacitor has
better and faster cycling characteristics. From
Fig. 7, it is obvious to find that ultra-capacitor is
always handling the fast change of energy
variations. Both battery and ultra-capacitor
enable to follow the power variation of the load
very well, which ensures the ideal performanceof the vehicle during driving conditions.
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1 5 5 1 6 0 1 6 5 1 7 0 1 7 5 1 8 0
- 5
0
5
1 0
1 5
2 0
2 5
3 0
3 5
4 0
T i m e [ s ]
B
a
t
t
e
r
y
C
u
r
r
e
n
t
[
A
]
Fig. 6. Battery current.
1 5 5 1 6 0 1 6 5 1 7 0 1 7 5 1 8 0
- 4 0
- 2 0
0
2 0
4 0
6 0
8 0
T i m e [ s ]
Fig. 7. Ultra-capacitor current.
Fig. 8. Bus voltage.
The bus voltage shown in Fig. 8 is almost
constant at 250V with some insignificant
variations around the nominal operation voltage.
Fig. 9. State of charge of battery
Fig. 10. State of charge of UC.
Fig. 9 and Fig. 10 show the state of charge of
battery and ultra-capacitor. The values of state of
charge will not fall too low so as to keep the
input sources have enough energy to supply the
load. In Fig. 10, it is shown that the state ofcharge decreases when the UC current is positive;
and the state of charge increases when the UC
current is negative. The charging and
discharging characteristics of the sources can be
learned from the figures of state of charge.
IV.CONCLUSION
This study presents a battery/ultra-capacitor
based multiple-input buck-boost converter
utilized in a small electric vehicle. The two input
sources are share one common inductor. The
battery bank is designed to supply average
demand power of the vehicle, on the other hand,
ultra-capacitor bank supplies or recaptures the
large bursts of power with high C-rates. In this
topology, only one input inductor is required,
which significantly reduce the cost and size of
the whole system. Input sources are effectively
controlled to deliver desired power levels to the
load fast and accurate enough. Regenerative
energy can be efficiently recaptured by battery
and ultra-capacitor during braking periods. The
proposed topology is able to be extended to
applications using other multi-source
applications.
REFERENCES
[1] C. C. Chan and K. T. Chau, Modern electric
vehicle technology, Oxford University PressInc., New York, 2001
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[2] A. Emadi, M. Ehsani, and J.M. Miller,
Vehiclular Electric Power Systems: Land, Sea,
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Dekker, 2003.
[3] C. C. Chan, The state of the art of electric
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DC-DC Power Converter for Power-Flow
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