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8/10/2019 # Global MPPT Scheme for Photovoltaic String Inverters Based on Restricted Voltage Window Search Algorithm -,
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17.2.20
Assoc. Prof. Dr. Mutlu BOZTEPE
Ege University, Department of Electrical and
Electronics Engineering
Global MPPT Scheme for Photovoltaic String
Inverters Based on Restricted Voltage
Window Search Algorithm
3rdRenewable Energy Systems Winter School
21-25 January 2014http://www.reswinterschool03.com
Outline
Introduction to solar cells
Electrical characteristics of Photovoltaic (PV) modules
Effect of non-uniform operating conditions on PV
module electrical characteristics.
Global MPPT tracking methods
Restricted Voltage Window method
Conclusion
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 2
Operation of solar cells
P-N junction inside the solar cell induces a built -in
electric field (E).
The photon which has higher energy
than bandgap of material (1.12eV
for Si) can generate electron-hole
pair in the diffusion region.
The generated carriers (electrons
and holes) are separated into opposite sides of junction
by electric field, and became majority carriers.
Carriers are collected by metallic grid and finally the
current flows through the load
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 3
P
N+
-E
+ -+ -
Electrical equivalent circuit
4
+
-VPV
IPV
Light generatedCurrent IL
ID
ParallelresistanceRP
RSSeries resistance
IRp
P
SPVPVnkTRIVq
SLRDLPVR
RIVeIIIIII
SPVPV
P
1
q: Electron chargen: Diode ideality factor
K: Boltzmann constantIs: Diode saturation currentT: Cell temperature (K)
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014
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Current-voltage characteristics
VPV
ISCISC
IPV
VOCOpen circuitvoltage
ShortCircuit
current
Slope Rp
5
P
SPVPVnkT
RIVq
SLPVR
RIVeIII
SPVPV
1
Slope Rs
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014
The effect of irradiation and cell temperature
As solar radiation increases, ISC
increases proportionally and
VOC decreases logarithmically.
As cell temperature increases,
ISCincreases very little, but VOCdecreases linearly (~-1.52
mV/C)
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 6
Parallel connection of solar cells
Only equivalent cells can be connected in parallel!
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 77
Series connection of solar cells
Only equivalent cells can be connected in series!
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 8
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Solar photovoltaic modules
A number of solar cells are usually connected in series
to compose of a solar PV module.
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 9
Typical 80W crystal Si PV module
At STC conditions (1000 W/m2, 25C, AM1.5)
36 cells (125x125 mm2)
Pm=80 W @ Vm=18V, Im=4,5A
Voc=22V (0,6Vx36=21,6V)
Isc=4,9A (3Ax1252/1002=4,69A)
Max. installation voltage 600V
8 kg/module
0,65 m2/module
958x680x30 mm
90% power output warranty for 10 yrs.
80% power output warranty for 20-25 yrs.
103rd Renewable Energy Systems Winter School, 21-25 Jan. 2014
PV module examples
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 11
140Wp72 cells (125x125mm2)
17.2 kg, 1.32m2
300Wp72 cells (156x156mm2)
30.5 kg, 1.94m2
410Wp96 cells (156x156mm2)
34 kg, 2.58m2
PV module current-voltage characteristics
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 12
0 0.2 0.4 0.6 0.80
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
Voltage [V]
Current[A]
Single cell 36 cells
0 5 10 15 20 250
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
Voltage [V]
Current[A]
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PV module current-voltage characteristics
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 13
Power-voltage characteristics
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 14
VM
IM
VOC
ISC
MaximumPower point(MPP)
Maximum Power Point Tracking (MPPT)
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 15
Constant resistance as load
Battery
as load
MPP tracking
1000 W/m2
750 W/m2
500 W/m2
250 W/m2
k gc [W]
Radiation
(W/m2) Constant
R
Battery
MPP
tracking
1000 79,3
(%99)
68,0
(%85)
80,0
(%100)
750 48,0(%81,2)
50,5(%85,4)
59,1(%100)
500 21,3
(%56)
33,3
(%87,6)
38,0
(%100)
250 5,3(%30)
16,3(%92)
17,7(%100)
MPPT realization
By using control input;
Converter (or inverter) input impedance can be controlled
Or PV voltage (or current) can be controlled
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 16
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MPPT Methods
Fractional open-circuit voltage: (V=k1*Voc, k1=0.750.8)
Fractional short-circuit current: (I=k2*Isc, k2=0.780.92)
Incremental conductance:
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 17
IVP .dV
dIVI
dV
dP
0dV
dP
MPPatdV
dP0
0dV
dP
P-V curve
Perturbation & Observation algorithm:
MPPT Methods
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 18
Vstep
Other MPPT Methods
Fuzzy logic control
Neural network
Ripple correlation control
Current sweep, etc
Most widely used ones;
Perturbation&Observation (P&O)
Incremental conductance
Both method are designed to track only single power
peak, and exhibits local maximum tracking behaviour
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 19
Non-uniform operating conditions
Irradiation differences
Partial shading, dissimilar inclination&orientation
Temperature differences
Non-unifom heat flow, cooling differences
Parameter differences
Aging, production tolerances
The power-voltage and current voltage curves of a PV
module are affected by these non-uniform operating
conditions drastically!
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 20
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Shading problem
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 21
Energy losses due to partial shading
German 1000 roofs programme were affected by
shading causing 10% energy loss[Renew. Energy, 33(9), 20482056, 2008]
The power loss due to the improper MPPT may be as
high as 70% according to the real measurements [IEEE T.Ind. Electron., 55(7), 25692580, 2008]
Thus, in recent years,
numerous studies worldwide
have been performed to
mitigate the power loss
due to partial shading
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 22
IEEE T.En.Conv. 22(2),2007,439-449
The effect of shading on series solar cells
Shaded cell has lower Isccurrent than other cells.
If Ipv>Isc_shadedthen the cell voltage can reverse, and it
behaves as a load!!!
If reverse voltage exceeds breakdown limit of the cell,
dissipated power increases significantly.
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 23
I
A
B
+
-VA
+
-
VB
+
-
VG
A
B
-VB VA
Operating
current
Ipv
Vpv
Hot spot effect
Dissipated power raises the cell temperature, and
creates hot spot effect.
If Tc>Tmax, the module can be damaged permanently!!!
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 24
Heat dissipated in ashaded cell caused themodule to crack.
http://pveducation.org/pvcdrom/modules/hot-spot-heating
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How bypass diode affects the I-V curve?
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 29
Shaded unshaded.
Without bypass
diode
How bypass diode affects the P-V curve?
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 30
Shaded unshaded.
Without bypass diode
Shading problem
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 31
Prog. Photovolt Res. Appl., 16,529536, 2008.
Shading problem
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Central inverter
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 33
Prog. Photovolt Res. Appl., 16,529536, 2008.
Extracted power: 3230 Watt or 2971 Watt?
String inverter
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 34
Prog. Photovolt Res. Appl., 16,529536, 2008.
Extracted power: 1568+2046=3614 Watt?or 529+2046=2575 Watt?
Micro-inverter
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 35
Global MPPT methods
Hardware based
Dynamic reconfiguration, Distributed MPPT concept, Module
integrated DC/DC converter, constant input power converter
etc.
Software based (Can be realized only by software
modifications)
Complex methods: Fibonacci search algorithms, ANN or Fuzzy
controllers, Bayesian fusion technics, differential evolution,sequential extremum seeking, ant colony optimization, etc.
Less complex: Two stages MPPT methods, global peak search
algorithm, DIRECT search algorithm, etc..
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 36
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1
Global MPPT methods
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 37
Global MPPT methods
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 38
Global MPPT methods
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 39
Global MPPT methods
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Choice of the Global Voltage Step VGSTEP
The choice of VGSTEP directly affects both the scanning time
and the algorithm accuracy. However the optimum value
should be around the voltage difference between two adjacent
local power peaks.
MATLAB Simulink
simulations for 1000
random irradiance values
between 1001000W/m2.
Voltage difference between
two adjacent local power
peak larger than 0.5VocP ,
but mostly around of
0.8VocP
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 45
Choice of the Global Voltage Step VGSTEP
0.5VocPand 1.0Vocreach
global maximums B and D.
On the contrary, 1.5VocPmisses point B and evolves
towards B.
1.0Voccan miss a peak if
adjacent peaks have nearly
equal power.
So, VGSTEP is selected
between 0.5VocPand
1.0Vocby balancing
tradeoff tracking eff. and
convergence speed
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 46
Power operating triangle (POT) and
Voltage Window (VW)
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 47
Minimum andmaximum valuefor VW are point
A and Brespectively
The global
power peak mustbe in the rangeof VW, in otherwords between Aand B.
Narrowing the upper limit of the VW
Narrowing the VW
reduce the
searching steps and
therefore decrease
the convergence
time
2000 random
irradiation values
0.9 Voc is selected
as upper limit for
VW
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POT update
The proposed algorithm uses datasheet values of both ISC and
VOC to define the first triangle POTSTC.
POTSTCis not closely cover
P-V curve
After measuring current
at Vmin, the algoritm finds
point A.
And then new triangle POT1
is defined which is closely
covers P-V curve
VW=[Vmin Vmax]
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 49
VWS algorithm flowchart
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 50
Sudden shading detection method
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 51
Shading is detected if k: sensitivityparameter
Slope2 isalways higherthan slope1
Algorithm operation
Lets assume
operating point
is Q.
1,2,3,4 and 5
are checked.
a,b,c and d
are omitted
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Algorithm evaluation (Uniformnon-uniform)
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Algorithm evaluation (During non-uniform)
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Algorithm evaluation (uniformnon-uniform)
3rd Renewable Energy Systems Winter School, 21-25 Jan. 2014 55
Power,voltage andcurrent plotswith respectto time
Algorithm evaluation (non-uniformuniform)
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Algorithm evaluation (during uniform)
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Algorithm evaluation (during uniform)
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Power,voltage andcurrent plotswith respectto time
Experimental setup
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P-V curves programmed in the SAS.
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Proposed VWS Agarwal
algorithm algorithm
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Comparison
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