Circuits and Systems, 2016, 7, 643-661
Published Online May 2016 in SciRes. http://www.scirp.org/journal/cs
http://dx.doi.org/10.4236/cs.2016.76055
How to cite this paper: Sankar, A.B. and Seyezhai, R. (2016) Simulation and Implementation of Solar Powered Electric Ve-
hicle. Circuits and Systems, 7, 643-661. http://dx.doi.org/10.4236/cs.2016.76055
Simulation and Implementation of Solar
Powered Electric Vehicle
A. Bharathi Sankar, R. Seyezhai
Depart ment of EEE, SSN College of Engineering, Chennai, India
Received 7 March 2016; accepted 6 May 2016; published 11 May 2016
Copyright © 2016 by authors and Scientific Research Publishing Inc.
This work is licensed under the Creative Commons Attribution International License (CC BY).
http://creativ ecommon s.org/l icenses/by /4.0/
Abstract
The rise in the price of oil and pollution issues has increased the interest on the development of
electric vehicles. This paper discusses about the application of solar energy to power up the ve-
hicle. The basic principle of solar based electric vehicle is to use energy that is stored in a battery
to drive the motor and it moves the vehicle in forward or reverse direction. The Photo Voltaic (PV)
module may be connected either in parallel or series, and the charge controllers direct this solar
power to the batteries. The DC voltage from the PV panel is then boosted up using a boost DC-DC
converter, and then an inverter, where DC power is converted to AC power, ultimately runs the
Brushless DC motor which is used as the drive motor for the vehicle application. This paper focus-
es on the design, simulation and implementation of the various components, namely: solar panel,
charge controller, battery, DC-DC boost converter, DC-AC power converter (inverter circuit) and
BLDC motor for the vehicle application. All these components are modeled in MATLAB/SIMULINK
and in re al -time, the hardware integration of the system is developed and tested to verify the si-
mulation results.
Keywords
Photo Voltaic P anel , DC -DC Converter, Brushless DC Motor , Electric Vehicle
1. Introduction
The renewable energy is vital for today’s world as the non-renewable sources that we are using are going to get
exhausted. The solar vehicle is a step in saving these non-renewable sources of energy [ 1]-[3]. Solar powered
electric vehicle is advantageous because of less noise, less pollution and reduces carbon dioxide emissions
[4]-[6]. It consists of PV pa nel, charger c ontro ller, batter y, inverter a nd BLDC motor. T he basic p rinciple of t he
proposed vehicle is the energy drawn from the solar panel that is used to c har ge a b att er y whic h i n tur n run s the
motor of the vehicle. A boost converter is used as an interface between the solar panel and the battery to obtain
A. B. Sankar, R. Seyezhai
644
the re quir ed vo lta ge and to extract maximum power from PV. The BLDC motor is preferred over DC motor be-
cause of high efficiency, low maintenance, long life, low weight and compact construction. The conventional
DC motor is relatively more expensive and needs maintenance due to the brushes and commutator, whereas,
BLDC motor has a rotor and a stator, which is connected to a power electronic switching circuit [7]-[9]. This
paper focuses on the modeling of solar cell, battery and implements a boost converter for the solar vehicle dri-
ven by BLDC motor. The simulations are carried out in MATLAB software. T he hard ware prototype is built and
the results are verified.
2. Modeling of Solar Cell
A solar cell is the building block of a photovoltaic panel. A photovoltaic panel is developed by connecting many
solar cells in series and parallel. A single photovoltaic cell can be modeled by utilizing current source, diode and
two resistors as shown in Figure 1 [10] [11].
The equation for a photovo ltai c cell i s give n by
exp 1
ss
lg ossh
V IRV IR
II IqAkT R
+∗ +∗

=− ∗∗−−


∗∗


(1)
311
exp *
r
os orgo
r
TT
T
I IqE
T Ak






∗ ∗∗∗








=

(2)
( )
{ }
25
lgscr i
II KT
λ
=+∗− ∗
(3)
exp 1
p
ss
sp s
p lgp ossh
N
R
VIV IR
NN N
INI NIqAkT R



++






= −−−




∗∗
∗∗∗∗ ∗∗


(4)
where I & V: Photovoltaic c e ll output current a nd vo ltage;
Ios: PV cell reverses saturation current;
T: Solar cell temperature in Celsiu s;
k: Boltzmann’s constant, 1.38 × 1019 J/K;
q: Electron charge, 1.6 × 1023 C;
Ki: Short circ uit curr ent tempera ture c oefficient at Iscr;
λ : Solar cell irr a diation in W/m2;
Iscr: Short circuit c urrent at 25 degree Celsius;
Ilg: Light-generated current;
Ego: Band gap for silicon;
A: Ideality factor;
Tr: Reference temperature;
Figure 1 . A single solar cell circuit model.
A. B. Sankar, R. Seyezhai
645
Ior: Cell saturation current at Tr;
Rsh: Shunt resistance;
Rs: Series resistance.;
It can be seen that the photovoltaic cell operates as a constant current source at low values of operating vol-
tages and a constant voltage source at low values of operating current. Electrical specifications of solar panel are:
open circuit volta ge: 32.6 V, short circuit current: 8. 5A, total no of cells in series : 72 and sola r cell te mperature:
30 degree Celsius. SIMULINK model of the photovoltaic panel is shown in Figure 2.
The P-V output characteristics with varying irradiation at constant temperature are shown in Figure 3. The
I-V output characteristics of PV module with varying irradiation at constant temperature are shown in Figure 4.
When the irradiation increases, the current output increases and the voltage output also i ncre ases. T his re sults in
net increase in output power with increase in irradiation at constant temperature.
The P-V output characteristics with varying temperature at constant irradiation are shown in Figure 5. The
I-V output characteristics of P V module with varying te mperature a t constant irrad iation ar e shown in Figure 6.
When the operating temperature increases, the current output increases marginally but the voltage output de-
creases drastically results i n net reduction in power output with rise i n temperature.
Figure 2 . SIMULINK model of the photovoltaic panel.
Figure 3. P-V char acteristics of a typical PV mod ule for varying solar irradiance.
A. B. Sankar, R. Seyezhai
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Figure 4 . I-V characteri s tics of a typical PV module fo r varying solar irradiance.
Figure 5 . P-V characteristics of a typical PV modu le for varying temperat ure.
Figure 6. I-V characteristics of a typical PV mod ule for varying t emper ature.
A. B. Sankar, R. Seyezhai
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3. DC-DC Boost Convert er
A single photovoltaic cell produces voltage of about 0.6V. In order to boost up the voltage, a DC-DC boost
converter is used. It is used to step up the input voltage to a required output voltage without the use of a trans-
former. T he control strategy lies in the manipulation o f the duty cycle of the switch which re sults in obtai ning a
variable DC output vol tage. The circ ui t diagram of the boost co nverter is shown in Figure 7 [12] .
The active switch in the boost converter is a MOSFET. A fast recovery diode is used as the freewheeling di-
ode. The input and output capacitor is selected as C1 = 470 μF and C2 = 330 μF, 450 V .The ind ucta nce va lue is
2 mH, 15 A. For a DC-DC boo s t converter, the conversi on gain fo r continuous conduction mode is give n by:
(5)
where Vo is the output voltage of the converter , Vin i s t he input voltage of the c onverter and D is t he dut y cycle of
operation.
Boost Inductor and Output Capacitor
The boost inductor L is calculated based on parameters such as switching frequency fs, input and o utput voltages,
Vin and Vout and the inductor current ripple ∆IL.
( )
ino in
Lso
V VV
LI fV
=
∗∗
(6)
The output capacitor is calculated using the below formula
o
oso
DV
CfR V
∗∗
=
(7)
where Vo is the output voltage ripple.
The DC-DC boost converter output voltage is about 60 V and inp ut cur re nt i s ab o ut 8 A as shown in Figure 8
& Figure 9.
4. Battery Modeling
The lead-acid battery are studied in an intensive way for automotive and the renewable energy sectors. In this
paper, the principle of the lead-acid battery is presented. A simple, fast, and effective equivalent circuit model
structure for lead-acid batteries is implemented [13]. The identificatio n of the parameters and the battery model
is validated by performing the simulation in MATL AB/SIMULINK.
The general equation for modeling the battery is
Discharge:
o
QQ
VEKitKiRiC
Q itQ it
=−−− ⋅+
−−
(8)
Char ge:
Figure 7 . Circuit diagram of boost converter.
A. B. Sankar, R. Seyezhai
648
Figure 8. Input current and output voltage of boost converter.
Figure 9 . Output current of boost converter.
0.1
o
QQ
VEKitKiR iC
Q ititQ
=−−− ⋅+
−−
(9)
where
V: Battery voltage (V );
Eo: Nominal voltage (V);
K: Polarization resistance (Ω);
Q: Battery capacity (Ah);
it: Actual battery charge (Ah);
A: Exponential zone a mpl itude (V);
B: Exponential zone time constant inverse (Ah1);
R: Battery internal resistance (Ω);
C: Exponential voltage (V).
From the manufacturer’s datasheet, the above parameters can be obtained. But, polarization resistance, expo-
nential zone amplitude and exponential zone time constant inverse should be calculated from the discharge curve
of the batter y which is calculated as follows is sho wn in Figure 10.
full exp
AV V= −
(10)
00.0050.01 0.0150.02 0.0250.03 0.0350.04
0
5
10 Input current
00.0050.01 0.0150.02 0.0250.03 0.0350.04
0
50
100
Time in s ec
Output voltage Input current
Output vo ltage
0.030.0301 0.0301 0.0302 0.0302 0.0302 0.0303 0.0303 0.0304 0.0304 0.0305
7.98
7.99
8
8.01
8.02 Input current ri pple
0.030.0301 0.0301 0.0302 0.0302 0.0302 0.0303 0.0303 0.0304 0.0304 0.0305
59.8
59.9
60
60.1
60.2
Time in sec
Output voltage ripple
A. B. Sankar, R. Seyezhai
649
Figure 10. Discharging characteristi cs of battery.
3
exp
BQ
=
o full
EVKRi A=++ ⋅−
(11)
The value of exponential voltage for chargi ng and disc hargi ng are
Discharge:
( )
CBiCA=⋅ ⋅− +
Char ge:
( )
C BiC
=⋅ ⋅−
4.1. Current Block
The chargi ng and discharging of the batter y is altered depending upon the state of char ge of the batter y. When
the state of charge reaches a certain maximum level, it begins to discharge upto the minimum va lue is s hown i n
Figure 11. The value of state of charge can be fixed depending upon the battery specifications and the
manufacturer.
4.2. State of Charge Block
The charge of the battery, Q is calculated as
dQ it=
The above equation gives the result in Ampere-seconds. In order to get th e st andard value i n Ampere-hours, the
result is divided by 3600 and compared with the nominal battery capacity to get the present state of charge is
sho wn in Figure 12.
4.3. Polarization Voltage Block
The polarization voltage block is calculated as is shown in Figure 13.
pol
Q
V Kit
Q it
= ⋅
4.4. Polarization Resistor Block
The polarization resistance is calculated according to charging and discharging modes is s hown in Figure 14.
Char ge:
pol
Q
RK
Q it
=
A. B. Sankar, R. Seyezhai
650
Figure 11. SIMULINK model of current block.
Figure 1 2. SIMULINK model of state of charge b lock.
Figure 1 3. SIMULINK model of polarization voltage block.
Figure 1 4. SIMULINK model of polarization res is t or block .
A. B. Sankar, R. Seyezhai
651
Discharge:
0.1
pol
Q
RK
it Q
=
4.5. Exponential Block
The SIMULINK model exponential block is shown in Figure 15.
By calculating the battery parameters using the mathematical blocks and using Equations (8) and ( 9), t he vol-
tage of the battery is plotted. The modeling is done in such a way that the charging current and discharging current
are alternated according to the state of charge of the battery. By this way, both the charging and discharging
characteristics are obtained. This is sho wn in Figure 16.
The discharging ch aracterist ic of th e lead acid battery is shown in Figure 17. The characteris tics were tak en by
connecting a resistive load across the battery. It can be seen that as the resistance increases the time taken for
discharging completely also in cr eases. T he SOC characteristics are shown in Figure 18.
For different charging currents, the charging characteristics were observed as shown in Figure 19. It can be
found that as t he charging current increas es, the time taken by the battery to attain full v oltage decreases. The SOC
characteristics ar e shown in Figure 20.
Figure 1 5. SIMULINK model of ex pone nt ia l bloc k.
Figure 1 6. Simulation results of battery characteristics.
0 2 4 68 10
x 10
5
48
49
50
Time (s)
Voltage (V)
0246810
x 10
5
0
0.5
1
Time (s)
SOC
02 4 6810
x 10
5
-8
-6
-4
-2
0
2
4
Time (s)
Current (A)
A. B. Sankar, R. Seyezhai
652
Figure 1 7. Simulation results for battery voltage for various R load.
Figure 1 8. Simulation results of SOC for various R load.
Figure 1 9. Simulation results for battery voltage for various charging current.
Figure 2 0. Simulation results of SOC for various charging current.
0 0.51 1.5 22.5 33.5 4
x 104
0
20
40
60
Time (s)
Battery Voltage (V)
1.5ohm
2ohm
2.5ohm
3ohm
Load
00.5 11.5 22.5 33.5 4
x 10
4
0
0.2
0.4
0.6
0.8
1
Time (s)
SOC
1.5ohm
2ohm
2.5ohm
3ohm
Load
00.5 11.5 22.5 33.5 4
x 10
5
47
47.5
48
48.5
Time (s)
Battery Voltage (V)
2A
4A
6A
8A
C ha rg i ng
c ur r ent
0 0.5 1 1.52 2.5 3 3.5 4
x 105
0
0.5
1
Time (s)
SOC
2A
4A
6A
8A
C har ging
c urr ent
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5. Electric Vehicle Dynamic Performance
Dynamic behavior analysis of electric motors is required in order to accurately evaluate the performance of
electric vehicles. Simulation to ols for electric vehicles are divided into steady state and dynamic models. For the
accurate prediction of electric vehicle performance, dynamic modeling of the motor and other components is
necessary. The dynamic performance of the motor for electric vehicles is investigated [14]-[19]. For this purpose
a BLDC motor with its electrical drive is modeled and simulated first, and then the other components of a series
electric vehicle, such as battery charger, multilevel inverter are designed and linked with the electric motor.
The first step in vehicle performance modeling is to obtain an equation for calculating the required vehicle
propelling force. This force must overcome the road load and accelerate the vehicle. The tractive force, Ftot,
available from the propulsio n system can be written a s:
totrollADgrade acc
Fffff=++ +
(12)
The rolling resistance, aerodynamic drag, and climbing resistance are known as the road load. The rolling re-
sistance is due to the friction of the vehicle tires on the road and can be written as:
roll r
ff Mg=∗∗
(13)
where M, fr and g are the vehicle mass, rolling resistance coefficient and gravity acceleration, respectively.
The aerod ynamic drag is d ue to the frictio n of the vehicle body mo ving thr ough the air. T he formula for thi s
component is:
2
1
2
AD D
fC AV
ξ
∗∗ ∗∗=
(14)
where V, ξ, CD and A are the vehicle speed, air mass density, aerodynamic coefficient and the frontal area of the
vehicle, respectively.
The climbing resistance is due to the slope of the road and is expressed by:
sin
grade
f Mg
α
∗∗
=
(15)
where
α
is the angle of the slo pe.
If the velocity of the vehicle is changing, then clearly a force will be needed to be applied in addition to the
above forces. This force will provide the linear acceleration of the vehicle, and is given by:
d
d
acc V
fMaM t
∗=∗=
(16)
Wheels and axle convert Ftot and the vehicle speed to torque and angular speed requirement to the differential
as follows:
d
d
wheel
wheeltotwheel wheelloss
TFR IT
t
ω
=++
(17)
( )
1
wheel wheel
Vs
R
ω
= +
(18)
where Twheel, Rwheel, Iwheel, Tloss, ωwheel, and s are the tractive tor que, ra dius of the whe el, w heel inertia, wheel loss
torque, angular velocity of the wheels and wheel slip wheels, respectively.
Figure 21 shows that acce le r ation of ele c tric vehicle is calculated using mainl y the position of the accelera tor,
which is between 100% and +100% and the measured electric vehicle speed. Note that a negative accelerator
position represents a brake position. Figure 22 sho ws that t he starti n g motor to rq ue of ele ctric vehic le is ab out 3
Nm.
Figure 23 shows that the maximum motor speed (2500 rpm) achieved in BLDC motor drive.
Figure 24 shows the stator c ur rent for ele ctric ve hicle dr ive. It is ob served fro m the results that the stato r c ur-
rent ripple is settled in runnin g co nd ition.
Figure 25 shows that the maximum vehicle speed (40 Km/hr) achieved BLDC motor drive.
The simulation results of motor acceleration, motor torque, stator current, motor speed, vehicle speed for
electric vehicle is obtained. The electromagnetic torque of BLDC motor is varied from 0 to 4 second. T hen the
rated torque is reached at 8 s. The rated torque can be seen 3 Nm as s hown i n the Figure 22. The stator current
A. B. Sankar, R. Seyezhai
654
Figure 21. Acceleratio n of electric vehicle.
Figure 22. Motor to r que of electric veh icle.
Figure 23. Motor speed of electric veh icle.
0246810 12 14 16
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1
Time in s e c
Electrical vehicle Acceleration
Accelerator
0246810 12 14 16
-1
-0. 5
0
0.5
1
1.5
2
2.5
3
Motor torque in N/m
Time in sec
0246810 12 14 16
0
500
1000
1500
2000
2500
3000
Time in s ec
Motor speed i n rpm
A. B. Sankar, R. Seyezhai
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Figure 24. Stator current of electric vehicl e.
Figure 25.Vehicle speed of electric vehicle.
resp onses of the B LDC mo tor are shown in Figure 24. The stator current is about 10 A and stator current fluc-
tuates between 4 and 8 s. With respect to the above Figures 23-25, the rotor speed is gradually increased to the
rated speed. The rated speed is 2500 rpm and it is reached at nearly 13 s and the vehicle speed is gradually in-
creased to the rated speed. The vehicle speed is 40 km/hr and it is reached at nearly 12 seconds.
The experimental P-V and V-I characteristics are shown in Fi gure 26. Table 1 shows that specifications of
PV Panel & Boost Converter.
The dynamic characteristics of PV array is measured using scope corder (advanced DSO) and it is shown in
Figures 27-29 (VOC = 32.5 V and ISC = 8.5 A).
The inp ut t o t he c o nver te r i s about 31.9 V and output voltage obtained is about 64.6 V as shown in Figure 30.
The MOSFET switches at 50% duty cycle.
Output voltage and input curr ent ripp le of DC-DC boost converter measured using PQ analyzer is about 0.9%
and 1.3% as sho wn in Figure 31.
The dynamic charging and discharging characteristics of battery are measured using scope corder and they are
sho wn in Fig ure 32 & Figure 33.
The solar powered electric vehicle using BLDC Drive is shown in Figure 34. The vehicle was designed with
forward and backward driving system which was able to achieve a speed of 40 K mph. The differential rear axle
02 4 6810 12 1416
-2
-1
0
1
2
Time in s ec
Motor stator current in amps
0 2 4 6810121416
0
5
10
15
20
25
30
35
40
45
Time in s e c
Vehic le s pe e d in Km/Hr
VEHICLE SPEED
A. B. Sankar, R. Seyezhai
656
Figure 2 6. Experimental P-V & V-I characteristics.
Figure 2 7. Experimental results for PV voltage and current.
Table 1. Speci ficat ions of PV panel & boost converter.
Parameters Values
Voc 31.16 V
Isc 8.57 A
Pmax 250 W
Insolation W/m2 1000 W/m2
System Efficiency 7 6.72%
Out pu t C a pacitance C1 = 330 μF
Inductance L1 = 2 mH, 15 A.
Switching Frequency fs = 50 KHz
A. B. Sankar, R. Seyezhai
657
Figure 2 8. Experimental results for voltage characteristics of PV.
Figure 2 9. Experimental results for current characteristics of PV.
of the vehi cle is c onnecte d to the drivin g shaft o f the B LDC moto r thro ugh the gear cou pling. W ith the c hange
in mo to r , whic h ha s hi g h to rq ue , t he ve hi cle wo uld b e c ap a b l e o f b ee n dr i ve n with he av y lo ad . The cur r ent fr om
the batteries flo ws to the controller, which controls the whole co ntrol system of the vehicle . With respect to the
movement of the accelerator, the controller sends forth the current, thereby increasing or decreasing the speed of
the vehicle. Tab l e 2 shows electric vehicle sp e c ification.
Figure 35 shows experimental values of actual speed and stator current with respect to bat tery voltage.
6. Conclusion
The importance of utilization of solar power in electric vehicle application is discussed in this paper. The pro-
A. B. Sankar, R. Seyezhai
658
Figure 3 0. Experimental s etup for PV interface boost converter.
Figure 31. Output voltage and input current ripple of boost converter for 50% duty cycle.
Figure 3 2. Experimental results for charging char acteristics.
A. B. Sankar, R. Seyezhai
659
Figure 3 3. Experimental results for discharging characteri stics.
Figure 3 4. Sola r power e d electric vehicl e.
Figure 3 5. Experimental values of motor speed and stator current vs. battery voltage.
A. B. Sankar, R. Seyezhai
660
Table 2. Electric vehicle specification.
Electric vehicle specification parameters
Vehicle capacity 2-Seater Maximum mileage 60 km
Overall Dimension 2750 mml * 1200 mmw *1800 m mh Forwar d & Reverse Sp eed 10 - 40 km/hour
Groun d Clearance 1 14 mm Brakin g D istance <2 meter
Tred Distance Front 870 mm Rear 980 mm Turning Radius 2.9 meter
Net Weight (without battery) 290 kg Climbing Ability Safe Climbing 25%
posed electric vehicle will be fuel efficient, reduce the pollution and provide noiseless operation. The drive
range of the proposed electric vehicle po wered by solar is improved compared with the conventional one. Selec-
tion of BLDC drive for the vehicle provides high efficiency, high operating life, torque/speed characteristics,
high output power to size ratio and noiseless operation. The design of DC-DC boost converter is investigated
and the input and output voltage ripple is reduced which is verified experimentally. Therefore, solar powered
electric vehicle will reduce the pollution and improve the economy of the country.
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