# Comparison of MPPT Algorithms for DC-DC Converters Based PV Systems

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2 I = I L I D I sh (2) I = I L I [ exp (q(v + I R S )/KT)) 1] ( V + IR S )/ R sh (3) Fig. 2: DC DC converter for operation at the MPP Few comparison such as voltage, current and power output for each different combination has been recorded. Multi changes in duty cycle, irradiance, temperature by keeping voltage and current as main sensed parameter been done in the simulation. The MPPT techniques will be compared, by using MATLAB tool Simulink, considering the variant of circuit combination. This paper is organized as follows: Section I gives the Introduction to the MPP Techniques. Section II gives the PV array introduction. Section III gives the DC-DC Converter Information. Section IV gives the Problem Overview. Section V gives the MPPT algorithms and Section VI and VII give the results and the conclusion respectively. II. PV ARRAY A solar panel cell basically is a p-n semiconductor junction. When exposed to the light, a DC current is generated. The generated current varies linearly with the solar irradiance [14]. The equivalent electrical circuit of an ideal solar cell can be treated as a current source parallel with a diode shown in figure 3. Where: I : Solar cell current I: Light generated current [Short circuit value assuming no series/ shunt resistance] I D : Diode saturation current q : Electron charge ( C) K : Boltzman constant ( J/K) T : Cell temperature in Kelvin (K) V : solar cell output voltage Rs: Solar cell series resistance (Ω) Rsh: Solar cell shunt resistance (Ω) A. Buck Converter III. DC-DC CONVERTER The buck converter can be found in the literature as the step down converter [15]. This gives a hint of its typical application of converting its input voltage into a lower output voltage, where the conversion ratio M = Vo/Vi varies with the duty ratio D of the switch [15, 16]. B. Boost Converter Fig. 4: Ideal buck converter circuit The boost converter is also known as the step-up converter. The name implies its typically application of converting a low input-voltage to a high out-put voltage, essentially functioning like a reversed buck converter [15, 16]. Fig. 3: Equivalent electrical circuit of a solar cell The I-V characteristics of the equivalent solar cell circuit can be determined by following equations [14]. The current through diode is given by: I D = I [ exp (q(v + I R S )/KT)) 1] (1) While, the solar cell output current: Copyright to IJAREEIE 19

3 Fig. 5: Equivalent Circuit of a Boost Converter IV. PROBLEM OVERVIEW The problem considered by MPPT techniques is to automatically find the voltage VMPP or current IMPP at which a PV array should operate to obtain the maximum power output PMPP under a given temperature and irradiance. It is noted that under partial shading conditions, in some cases it is possible to have multiple local maxima, but overall there is still only one true MPP. Most techniques respond to changes in both irradiance and temperature, but some are specifically more useful if temperature is approximately constant. Most techniques would automatically respond to changes in the array due to aging, though some are open-loop and would require periodic fine tuning. In our context, the array will typically be connected to a power converter that can vary the current coming from the PV array [6, 11, 14, 15]. V. MPPT CONTROL ALGHORITHM A. Perturb and Observe (P&O) In this algorithm a slight perturbation is introduce system [7]. This perturbation causes the power of the solar module changes. If the power increases due to the perturbation then the perturbation is continued in that direction [7]. After the peak power is reached the power at the next instant decreases and hence after that the perturbation reverses. When the steady state is reached the algorithm oscillates around the peak point. In order to keep the power variation small the perturbation size is kept very small. A PI controller then acts moving the operating point of the module to that particular voltage level. It is observed that there some power loss due to this perturbation also the fails to track the power under fast varying atmospheric conditions. But still this algorithm is very popular and simple[7]. Fig. 7(b): Perturb and Observe Algorithm [17] B. Incremental Conductance (IC) The disadvantage of the perturb and observe method to track the peak power under fast varying atmospheric condition is overcome by IC method [7, 18]. The IC can determine that the MPPT has reached the MPP and stop perturbing the operating point. If this condition is not met, the direction in which the MPPT operating point must be perturbed can be calculated using the relationship between dl/dv and I/V [7] This relationship is derived from the fact that dp/dv is negative when the MPPT is to the right of the MPP and positive when it is to the left of the MPP. This algorithm has advantages over P&O in that it can determine when the MPPT has reached the MPP, where P&O oscillates around the MPP. Also, incremental conductance can track rapidly increasing and decreasing irradiance conditions with higher accuracy than perturb and observe [7]. One disadvantage of this algorithm is the increased complexity when compared to P&O [7]. Fig. 7(a): Graph Power versus Voltage for Perturb and Observe Algorithm [7] Fig. 8(a): Graph Power versus Voltage for IC Copyright to IJAREEIE 20

4 Algorithm [7] Fig. 10: Output Voltage, Current and Power for PV panel Table 1: Output Value for PV Panel Output Voltage Output Current Output Power 28.4 V 2.84 A W Result for insolation = 100 and temperature = Table 2 show the comparison between three converter in theoretical and simulation value Converter Analysi s Theoretical Value Simulation value Percentage Difference (%) Buck Vin Vout Fig. 8(b): IC Algorithm [7] Boost Vin Vout COMPARISON BETWEEN BUCK, BOOST AND CONVERTER Fig.9: Basic Block Diagram for MPPT VI. RESULTS AND SIMULATION All simulation and result for every converter have been recorded to make sure the comparison of the circuit can be determined accurately. The input, output, voltage, current and power is the main comparison to take into consideration. The complexity and simplicity of the circuit have been determined based on the literature. Convergence speed, hardware required and range of effectiveness [4, 6]. Figure 10 take an insolation of 100 and temperature 50 as initial value. A. PV Panel Simulation From table 2 calculate theoretical result and simulation result can be observe. The percentage between theoretical value and experimental value also can be seen from the simulation output. All three simulations give difference type of curve. Theoretical value calculated from the basic equation of converters. This involved the calculation when selection of component. Meanwhile the experimental value is from the simulation result using MATLAB simulink environment. In this comparison show that buck converter will give the best simulation result, follow by boost converter. All of this converter will be used in comparing two basic controller in MPPT. COMPARISON OF P&O CONTROLLER AND IC IN BUCK CONVERTER B Buck Converter Simulation With Perturb and Observe Copyright to IJAREEIE 21

5 Fig 11: Output current and voltage for Buck and P&O IC C Buck Converter Simulation With Incremental Cond. COMPARISON OF P&O CONTROLLER AND IC IN BOOST CONVERTER D Boost Converter Simulation With P&O Fig 12: Output current and voltage for Buck and In Con Table 3 show the overall comparison for P&O and IC. Once the converter injected the power from the solar panel and the controller start function, the value for of Vin to controller do not same value from output of the solar panel. This is because the controller function that varies the value of duty cycle will change the input value that sense by the controller. The input voltages of this controller show a different each other. Buck the connected with P&O give a value of 26.8 V therefore buck that connected with incremental conductance give value of 17.87V. In Incremental Conductance controller the output voltage and current is not change between input and output value. The Perturb and Observe give a difference for input and output value. The output value behave as Buck converter behave. The voltage will drop from 26.8V to 16.8V and finally the voltage value is 534mV. In this system show that incremental conductance controller will work better with buck controller than perturb and observe controller. The incremental conductance controller will have the stable value from start to end of the simulation. Table 3: Comparison Output Value Between Perturb & Observe and Incremental Conductance in Buck Converter Fig 13: Output current and voltage for Boost and P&O E Boost Converter Simulation With Incremental Cond Fig 14: Output current and voltage for Boost and IC Table 4: Comparison Output Value Between Perturb & Observe and Incremental Conductance in Boost Converter V in I in V out1 I out1 P&O V in I in V out1 V out2 I out1 I out2 IC P&O From the simulation show that voltage input for both controller is almost the same. Perturb and Observe shows a not stable condition. During the Copyright to IJAREEIE 22

6 simulation the current and voltage decrease rapidly and lastly came to same value at the initial stage. From the simulation result is shows that controller that connected with Boost converter which will give a stable output is the incremental conductance controller. Perturb and Observe controller can achieve maximum output value at V that better than incremental conductance controller. VII. CONCLUSION This paper has presented a comparison of two most popular MPPT controllers, Perturb and Observe with Incremental Conductance. This paper focus on comparison of two different converters which will connect with the controller. One simple solar panel that has standard value of insolation and temperature has been included in the simulation circuit. From all the cases, the best controller for MPPT is incremental conductance controller. This controller gives a better output value for buck and boost converter. Hence this controller will give different kind of curves for the entire converter. In simulation Buck converter show the best performance the controller work at the best condition using buck controller. REFERENCES [1] R. S.Lewis, "Antartic Research and Relevant of Science," in Bulletin of the Atomic Scientists, vol. 26, 1970, pp. 2. [2] Y.-H. Chang and C.-Y. Chang, "A Maximum Power Point Tracking of PV System by Scaling Fuzzy Control," presented at International Multi Conference of Engineers and Computer Scientists, Hong Kong, [3] S.Mekhilef, "Performance of grid connected inverter with maximumpower point tracker and power factor control,"international Journal of Power Electronics, vol. 1, pp , [4] M.E.Ahmad and S.Mekhilef, "Design and Implementation of a Multi Level Three-Phase Inverter with Less Switches and Low Output Voltage Distortation," Journal of Power Electronics, vol. 9,pp , [5] S. Chin, J. Gadson, and K. Nordstrom, "Maximum Power Point Tracker," Tufts University Department of Electrical Engineering and Computer Science,2003, pp [6] R. Faranda and S. Leva, "Energy Comparison of MPPT techniques for PV Systems," WSES Transaction on Power Systems, vol. 3, pp , [7] Vikrant.A.Chaudhari, "Automatic Peak Power Traker for Solar PV Modules Using dspacer Software.," in Maulana Azad National Institute Of Technologyvol. Degree of Master of Technology In Energy. Bhopal: Deemed University, 2005, pp. 98. [8] T. P. Nguyen, "Solar Panel Maximum Power Point Tracker," in Department of Computer Science & Electrical Engineering: University of Queensland, 2001, pp. 64. [9] B. S, Thansoe, N. A, R. G, K. A.S., and L. C. J., "The Study and Evaluation of Maximum Power Point Tracking Systems," International Conference on Energy and Environment 2006 (ICEE 2006), pp , [10] C. S. Lee, " A Residential DC Distribution System with Photovoltaic Array Integration.," vol. Degree of Honors Baccalaureate of Science in Electrical and Electronics Engineering, 2008, pp. 38. [11] T. Esram and P. L.Chapman, "Comparison of Photovoltaic Array Maximum Power Point Tracking Techniques," in 9. Urbana. [12] E. I and O. Rivera, "Maximum Power Point Tracking using the Optimal Duty Ratio for DC-DC Converters and Load Matching in Photovoltaic Applications," IEEE, pp , [13] G. Adamidis, P. Bakas, and A. Balouktsis, "Photovoltaic System MPPTracker Implementation using DSP engine and buck boost DC- DC converter." [14] M. Azab, "A New Maximum Power Point Tracking for Photovoltaic Systems," in WASET.ORG, vol. 34, 2008, pp [15] H. Knopf, "Analysis, Simulation, And Evaluation of Maximum Power Point Tracking (MPPT) Methods for a solar power vehicle," in Electrical and Computer Engineering, vol. Master of Science in Electrical and Computer Engineering: Portland State University 1999, pp [16] T.S.USTUN and S. Mekhilef, "Effects of a Static Synchronous Series Compensator (SSSC) Based on Soft Switching 48 Pulse PWM Inverter on the Power Demand from the Grid," Journal of Power Electronics, vol. 10, pp , [17] A. Oi,"Design and Simulation of Photovoltaic Water Pumping System," in Electrical Engineering, vol. Master of Science in Electrical Engineering. San Luis Obispo: California Polytechnic State University, 2005, pp [18] S.Mekhilef and M. N. A. Kadir, "Voltage Control of Three-Stage Hybrid Multilevel Inverter Using Vector Transformation," IEEE Transactions on Power Electronics, vol. 25, pp , [19] S. Azadeh and S. Mekhilef, "Simulation and Hardware Implementation of Incremental Conductance MPPT with Direct Control Method Using Cuk Converter," IEEE Transaction on Industrial Electronics,vol. DOI: / TIE , [20] P. Sanchis, J. Lopez, A. Ursua, E. Gubia, and L. Marroyo, "On the Testing, Characterization, and Evaluation of PV Inverters and Dynamic MPPT Performance Under Real Varying Operating Conditions," [21] B. S. Energy, "What is Maximum Power Point Tracking (MPPT)," vol [22] J. H. Lee, H. S. Bae, and B. H. Cho, "Advanced Incremental Conductance MPPT Algorithm with a Variable Step Size," 2006 Copyright to IJAREEIE 23

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