67 Design
67 Design
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International Journal of Innovative Research in Science,
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PV systems are dependent power sources with nonlinear I-V characteristics under different environmental
(insolation and temperature) conditions. In addition they have high installation cost and low energy conversion
efficiency. These are the reasons for the less efficiency of PV systems. To overcome the problems, the Maximum
power point tracking of the PV system is used (at a given condition) at on-line or off-line algorithms and the system
operating point is forced toward this to desired condition.[4,5]
In literature, various maximum power point tracking (MPPT) techniques are proposed and implemented. These
techniques include look-up table methods, perturbation and observation (P&O) methods and computational methods.
One of the computational methods which have demonstrated fine performance using fuzzy-based MPPT technique.[6]
The fuzzy theory based on fuzzy logic sets and fuzzy algorithms provides a general method of expressing
linguistic rules so that they may be processed quickly by a computer. Recently some application of fuzzy control has
been successful in photovoltaic applications. The fuzzy controller introduced in uses dP/dI and its variations D(dP/dI)
as the inputs and computes MPPT converter duty cycle.[7] The shortcoming of this approach is the ignorance of duty
cycle variations, which results in an acceptable accuracy level with improved dynamic characteristics. The fuzzy
tracker of reference considers variation of duty cycle, but replaces dP/dI by the variation of panel power. This tracker
has fine dynamic behavior with limited accuracy.[8]
This paper presents a photovoltaic system including a solar panel, a fuzzy MPP tracker and a resistive load is
designed, simulated and constructed. Simulated and measured results are presented.
II. RELATED WORK
A. THE PHOTOVOLTAIC SYSTEM
There are many equivalent circuits of a solar cell, where the single-diode and two-diode models could be the
mostly used. So that the single-diode model is simple and accurate enough in many cases. Its equivalent circuit with
series and parallel resistance is shown in Figure 1.[3,4]
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q ( vR s I )
V R sI
I I ph I 0 e AKT 1
R sh
.(1)
Where Io is the reverse saturation current of the diode, q is the electron charge (1.602 1019 C), A is the
curve fitting factor, and K is Boltzmann constant (1.38 1023J/K).
Model of a PV Module
If a solar cell type tends to have an IV curve in which the slope at short circuit is almost zero, the value of Rsh
can be assumed to be infinite. In this case, the last term in (1) could be ignored. And taking Iph as ISC, (1) will become
q ( v R sI )
I ISC I 0 e AKT 1
.(2)
Where ISC is the short-circuit current. Equation (2) is valid for a solar cell. For the accurate application of this
equation for a PV module, the term of q(V + Rs I)/AKT is changed to q(V + Rs I)/NsAKT, in which Ns is the number
of series-connected solar cells in a PV module.
A simple PV module model will be derived from (2) in this section. When a PV module is in a open-circuit
situation, I = 0 and the item q/NsAKT in (2) will be solved as follows:
q
N s AKT
ISC
In
I 1
0
VOC
.(3)
where VOC is the open-circuit voltage of a PV module. Substituting (3) into (2), we get
I SC
(v R s I )
I In ( 1) VOC
1
I ISC 1 o e I o
ISC
.(4)
Fig. 2 shows the P-V curves of the PV module under changing solar radiation from 200W/m2 to 1000W/m2
while keeping the temperature constant at 25C. Fig. 3 shows the P-V curves of the PV module under changing
temperature from 10C to 55C while keeping the solar radiation constant at 1000W/m2.
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ISSN: 2319-8753
International Journal of Innovative Research in Science,
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When the duty ration is less than 0.5, the output voltage is less than the input voltage and vice versa. The buck-boost
converter circuit is shown in Fig. 4.[9]
Vi
D 1) .(9)
III. THE PROPOSED FUZZY LOGIC BASED MPPT METHOD
A Fuzzy Logic Controller (FLC) is designed to work as an MPPT controller. Fig. 5 shows the FLC.
The FLC contains a Fuzzy Inference System (FIS) whose structure is shown in Fig. 6. The FIS inputs, error (E) and
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ISSN: 2319-8753
International Journal of Innovative Research in Science,
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(An ISO 3297: 2007 Certified Organization)
PPV (k ) PPV (k 1)
I PV (k ) I PV (k 1) .(10)
.(11)
Inference
Rule Base
Relationship
Defuzzification
Fig. 6: Fuzzy Interface System
A. Fuzzification:
1)
2)
3)
Fuzzification of Error-Signal: The range of error-signal is partitioned into seven regions with triangular and trapezoidal
membership functions labeled as: Negative Big, Negative medium, Negative small, Zero error, positive small, positive
Medium and positive big over Universe of Discourse (UoD) of -2 to 2 as shown in fig.7.
Fuzzification of Change in Error-Signal: The second input parameter is Change in Error-Signal. The range of signal is
partitioned into seven regions with triangular membership functions labeled as: Negative Big, Negative medium, Negative
small, Zero error, positive small, positive Medium and positive big over UoD of -3.5 to 3.5 same as shown as error signal.
Fuzzification of PWM Duty cycle-Signal: Defuzzification converts membership functions into Crisp value for PWM
signal. Seven regions with triangular and trapezoidal membership partitions are labeled as: Negative Big, Negative
medium, Negative small, Zero error, positive small, positive Medium and positive big over UoD of 0.1 to 0.6 counts.
(a)
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(b)
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(c)
Fig.7 Graphical view of the membership function (a) error signal; (b) Change of Error Signal; (c) Duty Cycle.
E/CE
NB
NM
NS
ZE
PS
PM
PB
NB
ZE
ZE
NS
NM
PS
PM
PB
NM
ZE
ZE
ZE
NS
PM
PM
PB
NS
ZE
ZE
ZE
ZE
PM
PM
PB
ZE
NB
NS
ZE
ZE
PS
ZE
ZE
PS
NB
NM
NS
ZE
ZE
ZE
ZE
PM
NB
NM
NS
PS
ZE
ZE
ZE
PB
NM
NM
NS
PM
ZE
ZE
ZE
C. Defuzzification:
The Fuzzy Inference based on Mamdanis scheme is shown in fig.8 for present Error of 0.33, change of error
is -0.795 thereby suggesting a PWM duty cycle of 0.525.[10,11]
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V. CONCLUSION
Fuzzy MPPT model using Matlab/SIMULINK and design of appropriate DC-DC buck-boost converter with a
maximum power point tracking facility are presented in this paper. A new method for MPPT based fuzzy logic
controller is presented. The model is tested under 1000W/m2 solar radiation and 25C photovoltaic temperature.
Simulation results show that the proposed method effectively tracks the maximum power point as compared to other
MPPT techniques. The oscillation around MPP is decreased and the response is faster in compared with the
conventional methods.
REFERENCES
[1]
[2]
S. Chowdhury and S. P. Chowdhury, Mathematical modelling and performance evaluation of a stand-alone polycrystalline PV plant with
MPPT facility, IEEE Power and Energy Society General Meeting, pp. 1-7, July 2008.
Zheng Zhao, Ming Xu, Qiaoliang Chen, Jih-Sheng Lai and Younghoon Cho, Derivation, Analysis, and Implementation of a BoostBuck
Converter-Based High-Efficiency PV Inverter, IEEE Transactions on Power Electronics, vol. 27, No. 3, pp. 1304-1313, March 2012.
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ISSN: 2319-8753
International Journal of Innovative Research in Science,
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