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124    CHAPTER 4 Performance of MPPT Techniques of Photovoltaic Systems




                         technique imposed a complexity especially with online systems like MPPT of PV
                         system.
                            The main problem in the real operation of PSO is the use of random values on the
                         PV system, which can affect the stability of the system. Also, the main concern in
                         using PSO technique in MPPT of PV system is to have lower number of particles
                         to achieve consistent solution. Using conventional PSO will not achieve this require-
                         ment as fast as required. So, fast technique to get optimum duty change will be help-
                         ful in increasing the stability of the PV system. A modified PSO (MPSO) technique
                         [50,55] has been used to modify the inertia weight, u using genetic algorithm prin-
                         cipals. The modified inertia weight u can be obtained from the following equation,
                         which increases the value of inertia weight u for the beginning and reduce it for pre-
                         cise increment at the end of optimization.

                                            uðkÞ¼ u s  ðu s   u e ÞðT m   kÞ=T m        (4.6)

                         where u s is the initial inertia weight, u e is the inertia weight when reaching
                         maximum inertia times, and T m is the maximum inertia times.



                         2. PV SYSTEM UNDER NONSHADING CONDITIONS

                         2.1 SIMULATION OF PV SYSTEM
                         The proposed system has been simulated using a Simulink that comes with Matlab
                         software package. In the proposed system, the simulation has been carried out using
                         three different techniques for comparison. In the first technique, a Matlab file has
                         been used to calculate the theoretical MPP of the power curve. In the second tech-
                         nique, a constant terminal voltage of the PV is introduced. This voltage is chosen to
                         be the constant voltage that corresponds to the highest possible output power in the
                         normal operating range. In the last technique, an FLC has been used to track the
                         MPP. The simulation model of the proposed system using Matlab/Simulink program
                         is shown in Fig. 4.6. The simulation of the proposed system contains submodels that
                         can be explained in the following sections.

                         2.1.1 Photovoltaic Cell Model
                         PV cell is a pen junction that can absorb photons in the light to generate electric
                         power by the so-called PV effect. The generated power depends on the radiation
                         level of the sunlight, temperature, and the terminal voltage of PV cell. Several kinds
                         of materials have been used to fabricate the PV cells, which differ in their charac-
                         teristics from one type to another. Crystalline silicon PV cells are the most widely
                         used [56]. Crystalline silicon PV cells have been used for a long time and it became
                         mature technology. Its price became lower and lower especially with mass-fraction
                         production. For this reason, this kind of PV cells will be considered in this paper.
                         Other kind of PV cells have the same analysis but with different performance
                         characteristics.
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