المؤلفون / Authors
الملخص / Abstract
الكلمات المفتاحية / Keywords
File partitions
1-Introduction
2-Materials and Methods
3-Results and Discussions
4-CONCLUSION
5-References |
Control And Reliability Assessment of a Double Stage Grid-Connected Pv System: A Case Study of Adrar Region |
تقييم التحكم والموثوقية لنظام الكهروضوئية المتصل بالشبكة على مرحلتين: دراسة حالة لمنطقة أدرار |
الناشر : جامعة دمشق |
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ZEMITTE Seddik , HAMOUDA Messaoud , ARAMA Fatima Zohra , LAIDI Abdallah , BELBALI Abdelkarim , MAATALLAH Elabbes![](/mag/conference/FCKBIH/ORCID_iD_svg.png) |
الصديق زميط ، مسعود حمودة ، فاطمة الزهراء عرامة ، عبد الله العايدي ،عبد الكريم بلبالي ،العباس معطالله![](/mag/conference/FCKBIH/ORCID_iD_svg.png) |
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Abstract
This paper discusses the control and reliability assessment of a double-stage grid-connected PV system: a case study of the Adrar region (Southwest of Algeria), which uses a DC-DC boost converter and the DC/AC inverter (VSC) to generate power for the utility grid. The model represents the main components of the power system in the region of Kaperten (72 km north of Adrar), including integrating the 3 MW photovoltaic power plant and examining the effi-ciency and reliability of the control applied to this system. The paper starts with a description of the system. In this section we have defined and summarized each system component taken separately. The system is then presented in MATLAB/SIMULINK. We presented a maximum power point tracking (PO-MPPT) method included in a DC/DC converter and used to track the PV plant's maximum pow-er. Finally, in order to connect the PV array to the grid and control the output voltage of the DC/DC converter, a three-level DC/AC inverter (VSC) is employed. The simu-lation study demonstrates how changes in solar irradiance can affect a photovoltaic system's output power and the control effectiveness and dynamic behavior of a grid-connected photovoltaic system in different operating conditions
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Keywords: Grid-connected PV system, MPPT, Renewable energy, Adrar power system. |
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الملخص:
تناقش هذه الورقة تقييم التحكم والموثوقية لنظام الكهروضوئية المتصل بالشبكة على مرحلتين: دراسة حالة لمنطقة أدرار (جنوب غرب الجزائر) ، والتي تستخدم محول تعزيز DC-DC وعاكس DC / AC (VSC) لتحويل التيار المستمر لتيار متردد من أجل دمجه في الشبكة. يمثل النموذج المكونات الرئيسية لنظام الطاقة في منطقة كابرتن (72 كم شمال أدرار) ، بما في ذلك دمج محطة الطاقة الكهروضوئية 3 ميجاوات وفحص كفاءة وموثوقية التحكم المطبق على هذا النظام. تبدأ الورقة بوصف النظام. في هذا القسم قمنا بتعريف وتلخيص كل مكون من مكونات النظام بشكل منفصل. ثم يتم تقديم النظام في MATLAB / SIMULINK. قدمنا طريقة تتبع الحد الأقصى لنقطة الطاقة (PO-MPPT) المضمنة في محول DC / DC وتستخدم لتتبع الطاقة القصوى لمحطة الكهروضوئية. أخيرًا، من أجل توصيل مجموعة PV بالشبكة والتحكم في جهد الخرج لمحول DC / DC ، يتم استخدام عاكس DC / AC ثلاثي المستويات (VSC). توضح دراسة المحاكاة كيف يمكن للتغييرات في الإشعاع الشمسي أن تؤثر على طاقة خرج النظام الكهروضوئي وفعالية التحكم والسلوك الديناميكي لنظام كهروضوئي متصل بالشبكة في ظروف تشغيل مختلفة.
![](data:image/png;base64,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)
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الكلمات المفتاحية: ذمج الطاقة الشمسية، محطة كابرتن الكهروضوئية، ماتلاب، الطاقات المتجددة. |
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1-Introduction |
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Future energy demand is increasing rapidly, whereas conventional energy resources are reducing. Hence, the world searches for other energy sources. There are many sources of renewable energies, such as; Wind energy, Solar PV, Fuel Cell, Hydropower, Biomass, Geothermal, Tidal, and Wave energy. This type of renewable energy aims to address the rising energy demand and mitigate the climate and environmental impacts of fossil fuels[1] . However, this type of energy source is characterized by continuous change and sometimes sudden interruption because it is directly related to the weather, which is characterized by intermittency[2]. Thus, it is vital to investigate and assess the effects of climate change on the energy produced by these alternative energy sources. In this paper, we examine the impact of climatic changes in terms of temperature and irradiance on the output of a 3-megawatt photovoltaic power plant located in the Kaperten region of southwest Algeria in order to provide an overview of the station's contribution to the region's energy supply under various operating conditions.
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Photovoltaic electricity comes from converting solar energy into DC current through a cell based on semiconductor material called the photoelectric effect. Solar energy is not available during the night; it is necessary to supply stand-alone photovoltaic systems with batteries that make it possible to store electricity and recover it in time. However, only between 9 and 17 % of solar energy is effectively converted into electrical energy[3]. Thus, maximum power point tracking (MPPT) is an essential component of a grid-connected solar PV system to ensure that the maximum possible power is always taken from the PV panel and supplied to the AC grid under all circumstances[4]. |
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A photovoltaic generator is the association of photovoltaic cells in series or parallel to obtain the desired electrical characteristics such as power, current and voltage. The operation of the photovoltaic cell depends on the level of solar illumination and the cell's temperature[5]. Many publications in the literature examine the effects of meteorological conditions on the output and effectiveness of solar power plants from various perspectives. |
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the researchers in [6] demonstrates the modeling and simulation of a grid-connected PV system using the Perturb and Observe MPPT Algorithm to inject extracted power into the grid. whereas [7] addresses the Design of a Grid Connected Photovoltaic Power Electronic Converter where the Perturb and Observe MPPT algorithm is used to monitor the maximum power point, allowing the system to operate at its optimum ratings for a given ecological conditions. |
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The primary disadvantage of solar energy-based electrical power generation is that it is not constant throughout the day, as atmospheric conditions are always changing[8]. |
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The MPPT regulator is used to extract the optimum amount of power from the PV cell and transfer it to the load[9]. |
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Approximately 20 MPPT techniques have been developed over the past two decades. Some of these techniques/methods are : Hill climbing, Perturb and observe (P&O) , Incremental conductance (IncCond) , Fractional open circuit voltage (Voc), Fractional short circuit current (Isc) , Ripple correlation control (RCC), Fuzzy logic control (FLC), DC link capacitor droop control etc[10]. |
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The aim of this paper is to ensure the reliability and assessment of the solar power plant in the Kapertan region, southwestern Algeria, under different operating conditions (temperature - irradiation). |
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The rest of the paper is organized into the following sections: Section 2 provides a description of the test system and its compounds. Section 3 presents the results and discussion. Finally, Section 4 concludes this paper.
![](data:image/png;base64,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)
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2-Materials and Methods |
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2-1 Description of Test System |
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The Kaberten PV plant, connected to the 30 kV distribution network, has a peak power of 3 MW. The plant is comprised of three standard 1 MW fields. Each field is separated into two sub-fields that generate 0.5 MW apiece. Each sub-fields has its own conversion station, a transformer station and a solar module field. Figure 1 shows the location of the station on the map of Algeria. |
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Table (1) : Characteristics of some station components
![](data:image/png;base64,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)
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Fig 1. Site of the Kaperten photovoltaic power plant |
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) 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Fig 2. Temperature Curve of adrar region |
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Fig 3. Test system in Matlab/simulin.
![](data:image/png;base64,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)
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2-2 Designing of PV array in Simulink |
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There are many models for representing photovoltaic panels. This study uses the ready-made model from MATLAB/Simulink library. We select the module type to obtain the required power and then determine the number of strings connected in series and parallel. |
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Fig 4. Module interface in Matlab/Simulink |
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The characteristics I(V) and P(V) will show four different curves in response to a change in irradiance. It should be noted that an increase in solar illumination causes a rise in the value of the short-circuit current, while the open-circuit voltage value is slightly affected. |
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Fig5. Influence of irradiation on the current-voltage characteristic at T=25C° |
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Fig6.Influence of irradiation on the power-voltage characteristic at T=25C°
![](data:image/png;base64,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)
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2-2-1 DC/DC boost converter |
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A Boost converter is used to convert a DC voltage into another DC voltage of higher value it essentially consists of a switch based on semiconductor material placed in parallel with the dc power source. , a diode D, an inductor and a capacitor, figure 7 shows the equivalent diagram of the boost converter. |
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Fig 7. shows the equivalent diagram of the boost converter |
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A capacitor CPV is connected in parallel to the output of the PV array to ensure it appears to operate the boost converter as a voltage source. |
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![](data:image/png;base64,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) |
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2-2-2 Calculation of Boost Inductor and DC link Capacitor |
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The system is designed for connection to a 30 KV (line-to-line ) grid. This indicates that the DC link voltage must sufficiently ensure this AC output. The DC link voltage is determined by : |
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![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJ8AAAA2CAYAAADZCEvGAAACkElEQVR4nO2c247DIAwFyWr//5fZp0iI5WLAxE6YkfqQlDpROD0YQ3vFGGMAMODH+gbgXBAfmPFrfQMnc12XqN1XMyPEZ8R1XZ8VlRSGXTAD51skHzpn3WxHnDtG6ZwHEN8CpaFTMpzmbWbjtEg/G2N0Ocwz7C6g1ZmaovAmsBaI7wA8ul4IiE+V2vCpESd/XxrXq/BCIOdTo5THSdqNvv8lcD4FSoKJMRZnm6NxSqSxR+PVXHPETbVAfIv0BCN1sScdr3adpx0X8S0wkuPdzlLqYK1csRfTG+R8i0hEctfZVuOM4F14ISC+JTzW+VrxasVtSdF7B13xvWm5xjMS93uSkRRgF2Lne8NyjXcsn9ct/PwLUDv/BF3xefvGwhxeZrgpU7NdXA80GJ5wfE140tkq6HP8bBdh2TEkvq+53iyn5MC7+1rF+Xq7cEdLM3f7mdpT6bOS9i1K67awjlh8I2uYadtZt5zt8NHZOUKyQzzbnekkrWE633GRHrd2Y1js1PCKx2chcj4P7pA7abpQnwszL4ifTv58ajz9rJZzPu1JSG9TpkRYo3nfCXh8FupbqlprhpqxSk544/FBw3+WnK+0LriyL621zthy2NpOYhxwbCR5mou/SPs2vcqDZe2WncwH4c1nEJ8irZJQ6XjH9d/E8Wu7WuQloBBC9XjlGnec0vnaPbXaWroh4lOiVQLa3cFpTjf6azpyPhDR+72ut5yuB873IE/lZG8pMeF8itR+H5FSK5qnrxV6f8XhCZxPmV6+l7tS7XjXvXmacFBkNkZj+1kvrlcYdj+Kd+GFgPhckO9PPAVyPmPe4FC7wPnADMQHZiA+MAPxgRmID8xAfGAG4gMzEB+YgfjADMQHZvwBvKa5uexT1ysAAAAASUVORK5CYII=) |
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) 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2-3 Filter as Grid Interface |
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In this design, an LCL filter is used to connect the inverter to the grid. As an inverter is based on switching devices and gating signals in the form of pulses must be supplied to the switches, the output current may include significant harmonic disturbances that tend to degrade power quality. |
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Using the following equations, we can design L_i, ∁ , L_g values : |
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![](data:image/png;base64,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) |
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![](data:image/png;base64,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) |
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![](data:image/png;base64,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) |
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![](data:image/png;base64,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) |
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To determine the grid side inductance, |
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![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFwAAAAiCAYAAADSx77pAAABMElEQVRoge2Z0Q6DIAxFy7L//+XuqYsjTkspF9R7npZFpJyVWlxRVRUC4zU7gKdB4WAoHAyFg6FwMBQOhsLBUDiYt+eiUsr38+xzksXSEkdkzN74nnsYrgy3SVaQraqiqj8SvGOiZK7/MiXFxBke6fWYFbiM8FZWlC0SqOE9eO6TLclTf89qfNb6RZzCj4JpAZ1xdZb3ZH1W7LctKSJ+Sb0P1ZYd4M7weoJIgDNKygj2HuBeToV7JHn71N7WbLvQvR99+119fRRPJ2TzeXBn+L+Jawkj2baCngXWreOospGa4Uc3m9F6te6g3viy15f20Byd3XehS7ht2VUPGShakq1E/7XP7HGfRKgtNFZ6i3gVwsIpOMatT5orQuFgKBwMhYOhcDAUDobCwVA4GAoH8wHFVbYj+GwSFgAAAABJRU5ErkJggg==) |
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To calculate the value of the capacitor, we use the following equation.:
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![](data:image/png;base64,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) |
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Where, |
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P : is the single-phase power |
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ω_grid: is the rotational frequency of grid = 314.2 rad/s,
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According to [11], a damping resistor should be added in series with the LCL filter capacitor to improve the filter's efficacy. It is acquired by, |
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![](data:image/png;base64,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) |
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C_(f ): is the filter capacitor, |
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ω_(0 ): represents the resonance frequency of the LCL filter, which can be determined by, |
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![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJEAAABICAYAAAD26RfEAAAC2UlEQVR4nO2b227jIBBAw6r//8vel6VCiNjAMDfvOVIfmiYBm9OZAUy5ruv6AAj4490ByA8SgRgkAjFIBGKQCMQgEYhBIhCDRCAGiUDMj3cHMlNK8e7CNic3KpBICLtGpLNtSikI9A8kAjFIBGKQCMQgEYh5xewsQpHbTvet++LZ9ufzgkgUZa2mDt6JQVy9ppNt75BaoggRCJJLhEAxSC1RJDzTqndKf0VhHYXdyDiSoH/t6bs9ozISGXFXv/WvZ6v1SGdKrEYSzba1IRId4GnQ6t81RJoRRnsdKbVE7c3RHKhZ7gZUu1/f2m5To1aESi2RlzB9zXK6Hyvfd/deq9qKmug/QbNO2paolPL7A8943Kfrun7HSDMibaUzizz7JjzSbh2jdpy0+rEskefUFdaw2t1fkqifDSFQXCzHZkmimmN3OjiT9ryew+GfQYbZFP/kvpJ1H+7IWhOGOnemnXc1o8SJ7yaKCWqi+vvsLC1iOoMzHE1nKzvV8B6WFxuRAXpS7Z1lWKOS1IijlP+0N7bb1kmmI5F3TdOuwNafiDOj3ZMX7XLD7Ge9T3lUpiLRt/UUy4H0vlGajO5vpuudkujugqJc7JPMp/qptVIf5T7ukKomaumXF0ar6R5bM6uRWRLJo6TzlM8TzTwU5rm3Z9luhAiWTqLsG7+rM7D2c1EiT08qiTIKdGJZon82aLYtK9JINBJo9KD+6HNWzGz9zBxUHF3X3Xue2tO+B6kK69UZmFfkWjn10T7C+u39d9fhecqjkkai1WPEHvLstrlzYiPCKY9KmnTmQdRCdgWLa0CiAW16OT0IFoNqdcqjkiadWdIvWGp87ww7bVue8qgg0QSeK9/S59mJRAHwelpAo0jXgppokjcU2Vog0QTZVsmtQaIFMm67WIBEkyDPd5AIxCDRAkSjMUgEYpAIxCARiEEiEINEIAaJQAwSgRgkAjFIBGKQCMQgEYj5C2ZKischCj8hAAAAAElFTkSuQmCC) |
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![](data:image/png;base64,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) |
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2-4 P&O MPPT algorithm |
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The perturb and observe (P&O) algorithm is the most prevalently used control strategy for the MPPT algorithm for the PV generator. It has a basic structure, low cost, is simple to apply, has a reduced number of parameters, allows for the introduction of enhancements, and may result in top-tier effectiveness.[12]This algorithm depends on determining the relationship between the output power of a PV module and its voltage. According to Fig.8, which depicts the behavior of the solar panel indicating MPP and its operating principle, the observed change in PV power is as follows: When the operating point of the PV module is on the left side of the curve (P/V is positive), which indicates that the PV module output power is increasing, the voltage perturbation should be increased[13]. |
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) 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Fig.8: Characteristic power-voltage of the photovoltaic generator |
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) 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Fig.9: Diagrammatic representation of the P&O algorithm
![](data:image/png;base64,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)
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2-5 VSC Inverter |
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The three-level VSC converter maintains an 840V dc bus voltage with a unity power factor. The control system employs two control loops, one of which regulates the dc link voltage to +/420V. Id and Iq grid currents are governed by an internal control loop (active and reactive current components). Id current reference is the output of the external controller for dc voltage. Iq current reference is set to zero to preserve a power factor of unity. The Vd and Vq voltage outputs of the current controller are transformed into three modulating signals Uref abc that the pulse-width modulation (PWM) three-level pulse generator uses. The sample time for the voltage and current controllers, as well as the PLL synchronization unit, is 100 microseconds in the control system. Pulse generators of dc-dc boost and VSC converters employ a sample time of 1s to generate PWM waveforms with the requisite precision[14]. |
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) 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Fig.10: Simulink model of VSC main controller. |
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2-6 PWM Generation |
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Pulse Width Modulation is now used to send pulses to the six switches in the inverter based on the desired voltage reference signals Vd_des and Vq_des. These signals come from the current controller. the phase angle from the PLL is used to change these wanted voltage references back to their natural frame, which is three-phase quantities. As a carrier wave, a triangular wave is used. The gate pulses for the MOSFET switches of the inverter are made by comparing the desired voltage waves to the carrier wave[15]. |
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3- Results and Discussions |
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In this part, we present the simulation results for only one subfield of the kabertan plant with a capacity of 0.5 MW under different climatic conditions. Simulation of the proposed system is carried out in Matlab/Simulink environment. |
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In the first section, we change the irradiation as follows (1000, 500, 200, 1000) while maintaining the temperature in standard conditions of 25°. In the second part, we change the temperature as follows (50°, 40°, 25°, 10°) while maintaining the irradiance in the standard conditions of 1000 w/m. |
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Case 1 : variation of irradiance |
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![](data:image/png;base64,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) 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Fig.11: Output current of the PV. |
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![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOQAAACWCAYAAADOvSRHAAAe80lEQVR4nO2deXBUVdqHn87a2UiHDhCMklYUQtgi5RRMjQiMG1GRiDN+4Lh9LoAj1ABSRkAFLDTy1QyLK1iIOKWAw0iSKYcRlyGRmhIsR8KaQBAaZAlLkk5Imw5Z7vfH6dt9u9OBpJd0d3KeqlTucs573759f33ee86579UpiqIgkUhCgohgOyCRSJxIQUokIYQUpEQSQkhBSiQhhBSkRBJCSEFKJCGET4K8cOECJ06c4MSJEzQ1NdHQ0IDZbHbs//nnn6mvr/fZSYmkp6DzZRwyJyeH//znPwDs2bOHV199FbPZzOLFi0lNTeXZZ58lNTWVoqIivzkskXRnfGohhw0bxoULF6irqyM5OZkbbriBr776in/+85988sknfPnll9x+++1UVFT4y1+JpFsT5W3FhoYGTp06RX5+PiUlJcyfP5/BgwcTExNDXV0dRqORhIQETCYT5eXl3HTTTY66q1atwmKx+OUDSCShhMFgYM6cOd4bUPzA7NmzlcWLFysbN25UFEVRnnnmGeXFF19UFEVRCgsLlc8//9yl/OLFi/1x2DYEym6g7QfSb3lOuta+r3a9DlkvXLjA+vXraWxsZN++ffzqV7/iwIEDWK1WjEYjkZGRVFVVceTIEUaMGOH9L0YnSE9PD0v7gfRbnpPg2PcWr0PWPn36EB8fz3vvvUd+fj6//vWv0el0rFu3jrlz5xIdHc0nn3zCwIEDue666/zpc7tMmTIlLO0H0m95ToJj31u8FiTA1KlTXdbvuecel/VZs2b5Yl4i6XHIiQESSQghBSmRhBBSkBJJCCEFKZGEEFKQEkkIIQUpkYQQUpASSQghBSmRhBBSkBJJCCEFKZGEEFKQEkkIIQUpkYQQUpA9DU3OI0noIQXZkzCb4X//13WbzNwQUvgsyLq6Oi5dugTQ8axz5eXylzoYuIvPZoMnnnDdVlkptocCoeJHF+KTIFtbW5k2bRrffPMNiqIwd+5cvvzyS9asWcOWLVsoLCxk7ty5/PLLL64VP/0Ulizx5dDBY9WqYHvgHWazEKQqyg0bYM0aOHzYtdycOVBa2vX+eWLqVCgsDLYXXYpPgvz666+55pprAKioqCAzM5Pp06dz9OhRduzYwezZs7nzzjs5cOBA28rhmhpy9epge+Adq1a5nnOzWfy5t0I2W0i0THG7dwt/e1gk5XXGgKamJnbu3MmECRMAsFqtpKWlAVBbW4vRaARAr9dz7ty5NvUrgdg9e2gdMMBbF9pQXV3tN1vt2U+prsZy5gxKbKxf7QYK1XaC/TuItlppvfdeWvr2FestLViqqhzlky5fpqGujmbNto7Y9zcRR46ge/xxMJv5pYO+dIZA+L1161aKi4t9suG1IL/55hsuXrzI1q1biYqKYtq0adTV1QGQkJBAU1MTAJcvX6Zfv35t6qdlZ8O5c3Dzzd664BH1hyBQRERE0Pv8ecjO9qvdQPptNBqhoQFSUqCpicjqaqL79BE7m5rE/g0bRGvU2kpMayuo/jzxBMycCQaDWM/MFC2oXh9Q35ujoojKzobSUuICdG787fczzzzD6dOnfbLhtSAnTpzIxIkT2bhxI/Hx8dx///08++yznD9/nri4OIxGIxUVFezcuZPXXnutrQGTSXQghCNms98F2aVoQ1J12WyGkpK2Zffuhc2bhSBLS8UPaEaGEGpxMQwfHhAXdZcvQ+/ePa4X2KckVwDDhw8nOjoanU7H/fffz6ZNm1yyzo0bN47ExMS2FfX6kLhX8YpwvEhqa8WfivYztHffqN2mli8tBUURrabZTNTDD0PfvrBrl9imtp42G6SlOdc1LWqHMRigsbHz9cIYvwhSpVNZ59QvK9wIRzFqsVjEhV5bC8nJYtuaNWIoyp0XX3TWAaegzWbRchoMopXs1UusFxXB5Mmi/OrVsHixKKP28I4fLyIjNcLIzhbLBoMzJFb9UwnHa8QHfBak18TGhm/I2lFRfvEFTJwoltULS9tSaO/F3Perx9BenBaLa2vjdi/n8RjauqottZwqMLUjQrX/xRfib+/e9j+r3YbOvQXTlleHWXbvFnZLS4XwS0uFYPfsgQcegNGjhVD1eiHQykp0gwd716qGOcETZFpaeHdpL1kixDZmTNt9xcXign3gAfjTn8TFVlgoOkRMJnEx5uU5ysWPG+e8+HNzRd0FC2DGDHExT54sxKRuS0sTIWJlpfChtFTUKy2F7dtFGZsN1q6Fr792+qUK0T0UVYWpivbcObGsllOFqsUe5kZcvuxa1tOPjBoS22yibGOjWC4uFuuHDzvr2M9DRFqaFGSXE67hiNkswjODwSlIi0WILjdXXGh794rPt3272F9aKi70vXtF/U8/FdtMJqI++ACs1rbi2L7dOUhvsQgBFhUJURcXO8VtMMCJE87QcOlSsa+0VPzdfruw4emesKOoLaHZ7Ax1VYE1NTmXKytBp2t7PPd1933u/oT7rYGXBEWQ5UymsDwTyitBOxFDDXHUX0f1S1E7CdRfzMpKcRGq6/ayl5paSUqyuXYkaG1oyra7rg373JYvRcaQxGTYrgfzSCg1Cf8rK0UotroQlpeLepWxwGQwqyFnhljW64FkKE8DSzKYDSitCroInahXbrD7rNbNgFID6AeL5co0MNvAMk7sd7nnyrC3RAbYJWw0Lf6R6P0Dhb8AtsFg0QOaOpX2oQxGggVxDFVgFovYr7OfG4taPg0semyKAf0lPVhMrmVR4HAmxOrBYj9WZab9ezYJO8UGsN0NlQZQxBg2JzRld6WJz+lpso7Z3H4/hPt3p/2O7ctWq40Eo81zuStdg9qy6v2vpm75rjQPznacoAjSggmzLQ1qDaCNWtdstvfe2UAP2DSiQXtCTOLCcayLstaWaBKsmrI2D/dNbexe6TgG5/KuUrBYqNJnQqUeRuYK378oh+1f2Dsq7OFmpRkwwbgxUFJst2sQx7HYwJANlRbQZ4p1Fb0eKm3i82ET5fVpoozqW6X9QxhMjrOJRVMfnDb0wH9OQx+7PyDOCXohWptNbLdozpFeLz6f3mA/x3rxPdls9pNnsq+nAXoa9SnE2hT7PovY3mi3a0uDBoR91S5Ao/2itRgcwiZW649FlLUYxJ/7nU1xsfheM9Psx6WtYFy+R+13bL9WrC0kNLVTTm+yn+crXRsIXytd69rU8+wlQRHkGFYzJzcX9n4Kc2aKjaWlYC6HOeA4yY7/dGBdT1VVFUZjgmafvt2ynbELwAaz8LG2RIhv/OMi/KxMBsMJyAb2rBJlCu2hZW4a7P1IXDzjxokLragI5iyBJashzeQMP9UexzR7j6M2ZFPDz4njRZnSUpj8uAhTi4tF76XZLMqp44UGg/PeNTsFSj8StixmITa9wa4hM6Rl21sQ3Ho77f/Tsp3bsAi/K0shzcQvMTHE9+8vfMECppEiZC0vBFOuGCKptffIZmSIkNxiAcyQogPDR8594GpnajaUF4vbAJPmQi9eBUtWgcmL79G+XFVlxTkvwNtro21di20XMBFvCe49pJbNm8WJD2VUkahhYnm5CG369ROTssHZna+OyWVmCoGMGSPWDQbR0VNTI7alpVGfnk7irbeKdbUncupU0dM5frwIiTdsEPVsNrFfrxdlMjLEsXbtch6/vFzUGTMGjh93+t9er7b6ubSidt/vqYPFZoOYGNdxTJvN9R5S2zHkble73b3H+EqcOOEq0G5E6AiypATeeCPYXrSPySQumn79hEgyM2HwYOH3ypXO4Q0V+7xeTCbXfeqy5qmRxuHDSVR/rrUzgLTL2h8rT/a0vb3jxzsWWw4dInL/fteeUOh8J4pWWBrx6WJjRWeVtgfVvU5HaGwUf+5+qOOYqgCLi+HuuztuN8wIjQeULRZxoYc66q94crL4v2qVEE24/Vr70oPpJuwIT+OQ/ugh1c4q0lJc3PbHrxsRGoIMh3BVi8EgWsDMTCgoCA/f3cNB9wH8q02d87R+NVRxdraeGuq695SDCM09jf12E0IjZN28WdwvhQtr1jgv8HBpHbXDPNrwE9re64G439QOA2jpbAuoisu9njoxRDtxQLvuLsjKSudwRDclNASp04XXSQ4jX1uTkojUzojyNKnf072ltpOlvQ4ZIOLSpY6djyuJuqMPRVdWhs8PoJcEN2RV5zcqSlDd6FG0I6yr4mlmjaepeJ0JczsSzqqzkEBEJt34/hGC3UIqCkybBvn5QXWjQ5hMzhkc4YgqRHdBdvQxOE+is9mIaGkR0/7U7Z7C3/a42nxZ9+Obzd36/hFCoYXU68OjUwREz18YhasdojOfx1OL6L7fl15WtT64Pu1iNoux1cxM7+yGET61kOvWrePs2bOMHz+esWPHsmnTJg4fPszjjz9OfHw8a9asIT09naefftqzAfcZKZLAoQrPfXipvQF/7f/29l+NK9x7XhX3iQJXa0G7CV63kPX19fTt25d58+Yxbtw4zGYzR44cYeHChbz99tusWLGC+fPn88svv1BRUeHZiF4fviFguKHXiyGazMy2E/Pdy7kLUm31tB0+HaW9e00t2keztHX0emcLqY75dnO8biETExO57777mDFjBi+//DIWi4XBgwcTExNDXV0dRqORhIQEMjIyKC8v56abbnKpn5eXx4tDhoBez4UjR3z+IAAWi4WqAGQoA4g+fZprbDZsdXWc85O/KoH0O8ZqJb2igqb0dE5lZRGr09GrpoZeBQVE2mw06vVo8+e1REcT2UHBtbS0EHnpEi1JSQBE2re1WbbZaImOFveaViutvXoRDTRVVBANtKj3oHbUusePHiWxshKj/Qf9+P/9H4TwtfLoo4/y/fffs8SHnMM+haxNTU1MmTKF/Px8hg0b5rGMTp3X6Mby5csdIWvKoEG+uOFATC4PUPa2mBjQ64nt1YtkP/mrEki/G/fsIdpqJTolhUGDBsGgQaIz7dtv4dIlYt1ayMjIyA7bjrRnrNfWcVm2Zx50LNuFrtaLtgvR0zEjIyO58cYb4ehROH0aZswQ/vuJQJzz3bt3+yRG8CFkvXjxInv37iUnJ4frr7+e06dPO1LgpaamYrWfbKvVSoY6k9+d7GyXeZeSAOF+/6XmsNHmsvH2Xk+1r132NOHAU6vr3oHjCdXvHnJr47Ug4+LiePfdd1m5ciW1tbU88sgj/PTTTyxfvpwRI0aQk5PDsmXL2LFjB5ndpXcsXDMcuJOZCf/zP855uSaTSBMC3gvT18659uqr/vSADh24Qshqs9nYvn07OTk5xMTEtNmfkJDAhx9+yOXLl5k7dy4A7777Ls3NzURFCbN33303ERER7YatYYX6tEd3IC1NZJSbOlU81gWi0+Sjj3xrKX3FU+YGtWXsLj/qV6HdFjImJoa8vDz69OnDnj17PJbR6XTEuqXUV8UI4j6gW4hRSzAvWC9QO1w8oj77GEqfSRviGgxCiMePh89YtY+0K8iIiAjKy8spKyvjs88+4/e//31X+hWadMcx04kTxcPVasukijMtLXTmjYaKH11AuyFrY2Mj7733HuXl5SQmJvLCCy90pV8Sf9PePZg2FBw/HkaOFM8c/utfIoz11/ONkg7RriAbGho4efIkK1asID4+vit9kgSCjnSKfPihaCHV1JKSLqfdkNVgMDBr1iyWL19OXl4eP/74Y1f6JQkG2tBQnWeclubsWHEPayV+p90Wsq6ujltvvZUffviB1NRUnn32WdauXevSaSMJfVp79epcBa3o1MRcu3c7Hw42m51T2jr6HKOkw1zxHjI1NdXxhuSBAwfS2traZY5JgoReL+4l9XrxyjmTSaS7dC+jCjdAr4NoSUqi43OGug/tCjIpKYlz587x6KOPMmDAAIqKirBYLEyaNImxY8d2pY8hQ0tLS9hdJC1qC9mZMPNf/3IuqzlT1UzhaguptoxqS5mW5pwUrg5ZaLOFa4czwvlVhAHGoyB37NhBXFycy9tgly5dCojhEEn40JKa2vl7Pm0HUHa2SLb84ovOPDs2m3h7mfrSHG09vd75qgf3VzZA21w57hMBejgeBTlixAiysrJobW1l69atPbZF9EiYdWgosbFCVL76/cYbzvyoZrOY4VNa6nyS31O2dU/b3dEKUps1vYfiUZBGo5GzZ89y8OBBCgoKWL9+PRMmTOCxxx7rav8k/qCgwD8tkNoLazKJaXfjx2MrKUG/YYOzo0dF+8yl2kvr/uIjddndN4MBpYd2Hrb7qSMiIhg+fDhJSUls2LCBkpISKchwJRCtemYmZGZiHT4cfb9+OF5Fp76cdeRI5+sN1PtM7f2mzeYMgd2fRAEUzaNbPYl2BXnw4EHuu+8+qqur2b17d/d5YkPif2bOFIJUQ9TKStFTW1Qk9ntKeKwdXunBIao7HgX51ltvcfLkSd58803uvvtuj097SCQuGAzOFw2pLx5audL5gh+LRSSqslhEr21cnLgH7dfPmaYDHNn9WntoJ49HQc6ePbur/QgLWnv1Crthj6CghsieHj6fM8f59uddu0To656zR21leyA+3TmvXbuWs2fPMmDAAJ544gk+/fTTzmWdk/Q8TCYx4QBAfazPYhGvklDHOoGmH34gth0T3RmvBXnx4kWMRiMzZsxgwoQJ9OnTx5F1bsGCBURFRfHKK6/wwQcfUFFR0SbJVdgSZsMeIY02fcjMmS67GquqSAyCS8HG61H+1NRUfve731FdXc13331HdHS0S9Y5nU7nknVOIpFcHZ9C1rq6Ol566SW+/PJLevXqhcVDb1l7GQO++uorRg0f7svh21BdXe1Xe+4ktrZitVqx+Tl9YCD9DvQ5CZT9cPR769atFBcX+2TDa0E2NDQwb948li1bRp8+faitrWXLli1MmjSJ1NRUIiMjqaqq4vDhw0ydOrVN/TvvvBMCkPowYGkggaaICBKMRhLCzO9A2g6k/XDz+5lnnnGZbuoNXoesO3fu5IMPPqB///5ERUWxa9cuamtrueWWW3jkkUd46qmnmDBhAvv27eO6667zycmQooekI5QEB69byLvuugvF7TVy99xzj0vWuT179nSryeitSUk9Jh2hJDj4fcKge9a5bodsISUBpPs0X12FHPaQBBApyE7QGhsrBSkJKFKQnaBh40YpSElA6ZkPnXmJ4v6yU4lf2bp1KwsWLAi2G23Iz89nypQpXXIsKUhJyHD69GkOHz4cbDfa8NZbb3XZsWTIKpGEEFKQEkkIIQUp6VF8/PHHjnmsu3fvpinEUoVIQUp6FPX19Y4J4Nu2bSM6OjrIHrkiO3UkoUdhofjzJ7m5kJvLk08+SX5+PpMmTUKv12M2m1m9ejV9+/ZlxIgRXHPNNWRmZrJp0yaefPJJ//rQAaQgJaGHXTyBICYmhoSEBP7xj38wefJkmpqaGDt2LIMHD6asrIx///vfvP/++8yaNSsgx78aMmSV9DhGjx7Nli1byMrKAuDMmTMcO3YMk8mE1Wpl3759DB06NCi+yRZS0uMYPXo0Z8+edawfPXoUg8HAfffdR3NzM/fee2/QfJOClPQ4YmJieOihhwDo3bs306dPd7SWY8aMCaZrvoesR48edSzX1NRQUlLiWP/uu+84d+6cr4eQSAKG0Wh0iDEU8KmF3L9/P4899hh79uxBURQWLFjAqFGjKCsrw2g0UllZyfr161m9erV8LbpE0gF8EuSpU6e45ZZbADh06BC33HILTz/9NLNmzSI6OpqVK1fy2WefsWvXLn7729+61A3HJFfhmNApnM5JQ0OD32y1x8cff8w999xD79692b17N6NGjfI4Fnno0CGOHDlCbm4uDQ0NVHUgsVlQk1wB5OTkUGR/f0NjYyNJSUmO5YSEBACio6Opr69vUzcck1wF0r5McgVxcXF+sXMl1IkBU6ZMYdu2bYwePdpjuYKCAhYtWuTwqyOf0R9JrvzWqZOQkEBtba1jubm5GYDLly/TTz62JOkEAZwX4HFiwGuvvYbJZKJ///7ExcUxbdo0ysrKOHDgAMOGDfOvI1fBb4IcNGgQq1evZvny5YwePZrk5GSWLVvGyZMnefvtt/11GEkPIIDzAjxODLjzzjv55ptvuP7666m0v1Nk6NChXS5G8IMg16xZA4iEyO+++y6NjY3Exoq3Mtxxxx1ER0e3myxZIgkGo0eP5p133mHz5s1UVFQQERGB0Wjk4YcfZt26dUH1ze/jkKoYAfkaO0lIop0Y0Lt3b7Kyshg2bBgbNmxg5MiRANx6661B8U1ODJD0OLQTA4xGo6PDRvtS4rFjxwbFNzmXVSIJIWQLKQkZ7rjjDkf+moaGhoAOg3TG/h133BEwP9yRgpSEDEOGDGHIkCEAVFVVBXT8NND2vUWGrBJJCCEFKZGEEFKQEkkIIQUpkYQQUpASSQghBSmRhBBSkBJJCCEFKZGEEFKQEkkIIQUpkYQQARPkuXPnWLp0aZc+X3bq1KmwtB9Iv+U5CY59bwmYINetW8cf//hHjh8/3qEEQf6goKAgLO0H0m95ToJj31t0iqIogTA8d+5cR9a5lJQUl6xzhTodlscfx2wy+fWYxcXFjB8/3q82u8J+IP2W56Rr7ZeWllLoQ0KggD3toWYOiI6Oxmq1uuzLLSgIXNIUiSSMCVjIqorQarWSkZHhulOKUSLxSMBC1m3btvHjjz86ss7J/DoSydUJmCABWlpaiIiIkFnnJJIOElBBSiSSztGlEwMCMTa5adMmlixZwvHjxx3bfvrpJ6ZPn87MmTNZv369X45TUlLC559/7hdbKu+8847LutbvAwcO+Gy/oqKCpUuXsnDhQv773//6xd6iRYtYsmSJiz2t3+fPn/f5OMeOHePVV1/lo48+8tnWlez5228QfSbvv/++9waULmTZsmXK+fPnlYULFyoXL1702V5LS4syd+5cpb6+Xpk3b55j+5YtW5Tvv//eZ/sqGzduVJKSkpQ///nPfrVpNBpdtvnb7+eee06xWq2KoijK008/7Rd76vemtedvv2fPnq1YrVZl/vz5Sn19vV/tnT9/3rHd334riqK8/fbbyvTp072u36Ut5MWLF+nTpw+jRo1i7969PtsrKysjKyuLhIQEGhsbHduPHTtGYWEhixcv5vDhwz4fx2Aw8Ne//tVnO+42H3jgAZdtqt9qNnhfWbRoEfHx8VRXV3t8w5M39oxGIw0NDS72/O13fn4+NTU11NXVERXl+8ic1p42kbe//bZYLNTX1/v0LpsuFeSVxia9oampicTERAAXQd5+++28/PLLPP/887z++us+HycnJ8fvvcQ5OTlERka6bFP9joqKYsGCBT4fo3///hQVFTFz5kzy8vL8Yu/06dM8//zzLva0fn/99dc+H0f9gY2Pj+fEiRN+tbdz507Hdn/7/dprrzFx4kSqq6s9vvGtI3SpIK84NukFycnJjtd/paamOrbX1NSg1+vp1auXX35huwrV7379+nHmzBmf7R07doyCggL+9re/+eV8Hzt2jOHDhzN79mwXe1q/L1265PNxtm3bxg033MBtt93GoUOH/Grv73//u2O7v/2uqalh0aJFbN++nf3793tlo0t7Wf09NqkoCs899xwZGRkMGDCAa6+9luuuu46vvvqK6upqLBYLGRkZzJw50y++l5WV8fzzz/tsS2XmzJmsWbOGnTt3uvj9008/kZeXx8CBA32yP3XqVFJTU0lJSSE9Pd3n8zB16lQiIiIYOHAg6enpDB06tI3fb7zxBr179/bpOOvWraOmpoYjR46Qn5/v8mPrq7358+dz/vz5gPit8sorr/Dqq696VbfLhz0CMTbZ3NzcpiVsbm4mMjIy7MZApd+CxsZGYmJiAm4v1M63HIeUSEII+YCyRBJCSEFKJCGEFGQP5sKFC7S2trpsa21t9dusFUnnkYIMM1asWMFTTz3F2LFjycvL4+DBg3z88cde2Vq7di0REa6XQEREBGvXrvWHqxIvkJ06YciBAwcoLCzkpZdeorm5mS1bthAVFcXZs2f5+eefycrKYv/+/bzwwgu0traycuVKEhISuPnmm5k8eTIA3377LdXV1UyaNInly5dTX1/P0KFD+cMf/kBRUREpKSncdtttQf6kPQ/ZQoY5ra2tlJaWsm/fPkaNGsW1116LTqfjrrvuoqSkhL/85S/k5uayZMkStmzZ4qi3c+dOhg4dypEjR4iJiWHhwoV89tlnXL58maysLJcZLZKuI3ymsUiuyuDBgzl58iQ33ngjUVFRVFdXc+bMGXbs2MGOHTuw2WzU1NSQkpJCfX096enp6HQ6Dh48yLx583jwwQeJjIwkPT3dL1MbJZ1HCrIbkZCQAOAySaJv376MGzeOsWPHsmLFCpKTkwFITEzkwoUL6HQ6HnzwQX7zm98wZMgQbr75ZhISEhy2JF2LDFm7OfPmzeORRx4hKSmJ2tpaRyfOiBEjKCsrY8CAASxZsgSTycRDDz1EVlYWZWVlZGdnB9nznons1Okh2Gw29Hq9Y72+vp4333yThQsXoigKNpuNuLg4AF5//XX+9Kc/yVYyCMgWsoegFSOIkDUxMRFFUdDpdA4xKopCUlKSFGOQkC2kRBJCyBZSIgkhpCAlkhBCClIiCSGkICWSEOL/AeDoomyZDAoHAAAAAElFTkSuQmCC) 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Fig.12: The voltage generated by the PV arrays. |
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![](data:image/png;base64,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) 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Fig.13: powers generated/injected into the grid. |
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![](data:image/png;base64,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) 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Fig.14: reactive power . |
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Fig.15: DC link voltage Vdc.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC4AAAAuCAYAAABXuSs3AAACrElEQVRoge3YW0hTcRzA8e/UaIgKC9MeqhcRzG6azT1ZBokKyysDwaAXe8mniKlsU9B5r9TES3gFQ5GBt7Swu4WEFzYsMRVJswc1MDQKBRXsyT0U2tl2OCac7+v5/87vw2Bw+CvSjl3Y5oBVv2jFbb8RzibDpU6GS50MlzoZLnUyXOpkuNQdWLiH2C/cLLzP7aizAJS/GOeQ4Y7YKwCxf/HSckqSNfh6KTnqpaQkWQOl5aKu2Ek0uMe9CooSw1nf3CKrY5jMjmHWN7coSgzH/W6FWGvsiQJXllVSnKRhdW0DY/coSpMepUmPsXuU1bUNSpI1HC6rFGOVPZfh3pVVFCaGs7C6hrFnBE+T3v7M06TH2DPC4o81ChPUeD+ocnWdPZfgR6prMMepmV3+SXbPKD45mX+d8cnJxNQ9ypfvvzDHq1FVVbuy0p7TcP/ah+TFXWRycQVznxVVbtauZ1W5WeT1WZlcWsEcr8a/ttbZtfacgp+oryNHG4Z1fpmCp7Y90TupcrMoeGLDNr9MtjaM4/V1zqy25zA8oKkBQ2wo7z8vUdI/hq/ZIHjW12yguH+ModlvGGNDCWhqcHS9PYfgwY+ayYgO4dX0AuUvx/HLF47eyS/fQNmLcV5PL5ARHcKplmaH3wGgEHohdL6thVuRwfR9/EpvTJJTy/7sWn8n2nMnqXkzwYfUG4LnBF8IaSytpEeepsM2JxoaoDcmiU7bHOlXzhBuaXVo9p/wy13tpEUE0Toyw3Otzmnkbj3T6mgbmeFmRBCXutoFz+0Jj+q1kKoJpHFwircJKS4jd2sgIYXGwSmuawK5+tgiaGZPuLubGzUDEwzpUkUB7tWQLpXad59wd1MIOi/4z/k/Jd/W7kcyXOpkuNTJcKmT4VInw6VOhkudYnt7+8B91gL8Bifd0G+9hE2rAAAAAElFTkSuQmCC)
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-Figure 11 shows the output current of the PV We observe that as the amount of radiation decreases, so does the amount of current generated by the solar panels. |
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-As for the voltage, it is relatively unaffected in the initial stage (Ir = 1000 W/m2), but some oscillation appears when the irradiation decreases to 200 W/m2.(fig.12). |
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-Figure 13 shows The active powers generated from the PV and injected into the grid. We observe that the decrease in irradiation has a direct effect on the power generated by the station, as the power decreases with the reduction in irradiation and return |
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- from (fg.15) In the case of decreasing irradiance, the dc link voltage fluctuates, which effects the inverter's performance. However, the dc link voltage recovers to its nominal value when the irradiance returns to 1000 W/m2. |
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Case 2 : variation of temperature |
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![](data:image/png;base64,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) 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Fig.16: Output current of the PV. |
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Fig.17: The voltage generated by the PV arrays. |
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![](data:image/png;base64,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) 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Fig.18: The powers generated/injected into the grid. |
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![](data:image/png;base64,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) 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Fig.19: reactive power . |
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Fig.20 : DC link voltage Vdc. |
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![](data:image/png;base64,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) |
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- In this case, we keep the irradiation value constant (Ir=1000 w/m2) and we change the temperature . |
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-Figure 16 shows the output current of the pv , We observe that the current generated by the PV panels is not significantly affected by variations in temperature, while the voltage approaches its nominal value when the temperature is close to 25°. |
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- The value of the energy generated by the PV panels is affected by the temperature, it is in the best case at the temperature of 25°(fig.18). |
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4-CONCLUSION |
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This paper discusses the control and reliability assessment of a double-stage grid-connected PV system: a case study of the Adrar region (Southwest of Algeria), we use the Perturb and Observe MPPT Algorithm to inject the power extracted from a photovoltaic array .The inverter's control allows for the unitary power factor, maintaining constant DC bus voltage, and syncing the grid and PV at the same frequency and phase. under various weather circumstances. The obtained results show the effect of different climatic conditions on the energy produced from the station, where the lack of irradiation negatively affects the efficiency of the solar panels. The best performance of the PV panels was in the case of temperatures 25°. |
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In future work, I plan to implement other forms of MPPT controllers or optimize them using metaheuristics, as well as investigate the impact of climate on the stability of the power system. |
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P5iL8w0OFjnC++9rYuVOuiEOEnnfM/zhhIvFsUvMPjjuX4aagfXxhGYwGH+dwXi8NAQ+2qeMUN9AJ3X42tq7r10a8S8Pq788rsuu47rvDxzwvlBarbYr3w2X5wMZ9LWQfWA46tK7bl+ljPCbUsCat8fJ3aktALWMczGCJsBXFR/dqGmCthvb6Bj3VCQ2vitk68hsBqu/0IRG2p2c9GjertNPeirlzwgAo4gjUKOkLAEaRQku/98ji8ruDOK2I64ODFwm9Q6+hoj7aIz8MLlD8aGtod0rEF/b0+Rr9Okhc9l+HXHbTTk8z54w5y6gVqvcPFsnD0MU5rSgPBGYPgtpaUlFD9hZ7xlKAYhxMc/OBlBdkkD1W2Xn0bbMFwWwUcBpPeLirgMNBwwIDKOOshPrnK8tHDmM7JmmBByLIOGun9J/yeE34/LL8z5WzbWfUzvw+Ff8eLlT/8M3/YKlA7H/q9KvZTzzUIYuBoU21V71VRT0enXRIbRmyCtNnnOUtvi9NWCdfP76bln/mdLDHLKhZ47dmzJx1DL6NWVozVy1RdFa1NNFDK1of6pY6rxG/VhtFbwGEw6QUc5uLF7ao4gwaxeR1lSdAV1rc19vYu/6+1tUWBQMdUnC+j1m9044XDf7euzgQP+6XUKh5C70HRV3JtAbHFEXM5rNcrqEbbxzMY+JzqD712Qb+djY/S1gcDK9o/FY5hYHWolz4V0kuddLA1pEGQdGC8dHT+TsBhPq/D1CAWRxiVfI7R4OBF2BxpVi9A4jenaYNZuwv6XSbJJnVCnCR6Tmsrlq2GPvSiJLYseBHroKxlWVhuhH7Lmo5l8BK2YhHWTgmb/GpZK6hYuzQFBfwKSR3QtEDDr1ewYhdkfej8DC6pXrsQe2K6bqLe5bDiGfQGOWoPwyRCmrSRHpbJkZ7Qbu00JPKp3WzNFBcXKUspFtsJdlfE4khvLJylBBwGGlZUlKvSbKrv2L4Tu+lViXtq99CVuCAaGNRuAb9BTV3t1YJV69fno/wb+zsrQKiu9hTbmD9/PiZOmGCBQB1ih1cZBPST+1WM6jTaEuKjHa860CePBxYHTwka/CY4VX389rF2OXQAVdevks/4WHZxqEkaVq+99hrpskMBLWZ6BQhud50dEm3ttLW3ReHQTkBqZ4jSm+RG0suuR9KLsIcMHaziGz3IFdMxnmRnEXAYTHq7qIDDQEN+pSJ/+E3xBw8exKFDdepN7/kczLN3OJxBRb6MR2MBQevHBoNVvkMBZ/r0K9Rb6C3wWIBxxkDiq/S+8sZvRDjpZR9vQ0hjyZmooss6YcTHxQK/tqtjuyvvvfc+9u/fp0Cqg5samH7cdLaaNdTumLaMODjMr6UsKyvD4CFDMIT+VPbvp7ruDBALOAwmdoiiAo4QIvkdUk4vXPb125V3YC0Pryt90GmVJUD/5pFrEP3YW6q6TuttjpYFwy6E/kTPa33he6qoC6OOiV7qE493bgPZ36qAq8sicZ/fqt/6rcrocP7ssIRCaaHPq1wu70Q6vb0cFOcQiyNI8eDvBRzBGvkeUVlpXem8Pu6rclo+vl7LjsWfsCisFAzbx4/tNOg2+eWYOCiTFC7Ovll1xZ/DaprrHbWORa6g4YZEqvEOF/vcfXL+HAQNbo+Aw2DS20UFHAYaBt0da1B1ykUTF4yHG+K1iJOcKXmdUTSpvyTAwZeoFujS3mXyqTcMMHRRAUfK0yuhgIDDQMMEcMRZ+4kuQrLF5TfxQy9IXo8Jbkm8j5FeXcnMA70bE96ECFrg7mCu//A4Xncdi+VaVAr4CDiCFAr+XsARrJHvEZwAlvhJPnHDL4zkDTOtxwsi3os6TBgzWMSw0AoCS/yZ3G0LhgaXF3AEj1fQEQKOIIWSfJ8IjuCJ6wyYGpw66h6kttBiZzQDR3A/vfoWBh6p98fbJUumrYDDdOaRXVdffyS8nWl+vguqhmw8c7SzBAsPDm5Beld2v7a74Wke77AjxCHFEnCEFCrJYQIOAw3PZ3AoHLiSwwykMCpqDo7UTi/gSE0vr6MFHAYanu/gMOh6FxYNDtYGNU7AEaRQ8PcCjmCNfI9wPuXcoJpOLWp6NXe7NKnHIDLZPXc8IzUXRbdEwGE+JgIOAw39HuRjUGVGi4ZzRfwXn18ws2vhYS6RgMNcQwGHgYZBCWCdv8A8csFdsQtn92LtCTb3g3ZA4vuW+s6Gs11hrCKv9H1nKn8qWgs4DCa9XVTAYaBhEDi46lQmdOpNCQ8O/4XuPmtsqzV8wlrq4EhtVydcZmpYrQUcqc+0hFki27Hpi9j14PBue3BcInxSV2e5K6nWG2QBpQJpAUf6c16XFIvDQMPuHuMw6NoFXVTAYT68Ag4DDWU71kC8Liwq4DAXX8BhoKGAw0C8Liwq4DAXX8BhrqHUIArknAICjpwbcumwKGCugIDDXEOpQRTIOQUEHDk35NJhUcBcAQGHuYZSgyiQcwoIOHJuyKXDooC5AgIOcw2lBlEg5xQQcOTckEuHRQFzBQQc5hpKDaJAzikg4Mi5IZcOiwLmCgg4zDWUGkSBnFNAwJFzQy4dFgXMFRBwmGsoNYgCOaeAgCPnhlw6LAqYKyDgMNdQahAFck4BAUfODbl0WBQwV0DAYa6h1CAK5JwCAo7uOOSRfdiw8SCaUYKLJk/BsFKrkcd2rMLO4/SXfqMxc0xl9lt+bDtW7TxB563A6JljYbXgGHas2gmrWTPRFc0KJ4RPOz37FK7GtI/yGd+06+uCggKOLhA98JQHl+Hhn7+DE7RAZ3/hX7FgqFXi/ScfxJKd9JfRn8C3b58eWE3GD9j3Mn7wi3dxCmPwiW/fjsvVCd7Dk99YAqtZD+F265fd8OPTzvefxDeW7KD2OvvUyc33Gd9OPmtGqzcCx8FlP8TPV/IViEWvxiZ7AlXM/gK+suCijDa06yurwxuP/g9WnwTKZ9yJf7pmcOc1qbuCI9ouAYfR4AeBo+4NPPqrVTiJUVjwtZsx2ehknVNYwBFa1wNY9vDPwZzsdDCeV+CI6SIWR8jJFAQOT0CHrDtLhxmBoz1yCqci7dTUIvTqV4TW441opZ/yS/uib2l+lrqQ2mk2Pv8dLPuQypTPxB2fAJYosgOjFnwdNyVFewT7N2zEgWag5KLJmKIDD6mdPtzR3R4cg3H1V76Iqyu4OzFwDJ//Ddw91w7IhOtpFo86j1yVIHBELZIw89ZP4o14/rt/gFoKaVjQRuDI4qhn7FTROEHFHHzhFuBZFUvoZv55tweHM/aSRUvMaBZcQOCIzg+TeRvTIx0L2hAcrRTpr6FIP9sZvWgHYDyG5UdwvJF/ZiukF/23e32iOxMlQzF5LLBd7V4E7wi0NtZiR00dGrk7vQZj0pgq9OqsznUaOHbjr79egf3UhWFX3oYpJ1/CsprTQO9qLLhhKoViAz6e7RJwBMmW8L2pqxLdlQmet/5ti+0ypWNBpw+Oxm1Y+sQzeO9IW6xteWUYNrgY+w/qgKmOvKcsbfcp0LoHrz/5LN7e2whHTwHu68wb8dkF4wiZGf50Gjjir7ofq7OD22x9fWUB7M0b/84IODIz0KbgyEwrjGpJExxHsfxnP8Hyug5aQH0w7tpPYwFfvf/4PF7detJeYMm3t9QVfO1m1Ow9ruIibKFUDK/GlCvIagkdH2lFY+0O1NQpO4AMgUkYUxXGygkbr3D0s6QKH7v9Nlw5BDi0ZjGeeWUbTnfkoXL23bhvwcXIaETHFBz6isRW1ZSLEYs6hLQ4/HIbDMGROOY8ZtMwddYYVHWa+abXRye7Ku00pz5YgffWxazSqdPnYjzFwhLmhik4WhtRR/O+Vln6qcx7JyvM8m/SA0e043kYPv/fKCDW225RO/a9/GP8YlUSi6PuXTz16z9ix8m467ejRwUon7AAn/v0DAxMshrb972Bxxf9FfubCF6OT17ZSHzsH27H3GSFHQG9pP7dlmfxH89sJrBVYOY9X8L1F8cadPT1n+CRN+sJnFW0ZXY3ZmcyJmgKDl0+rCXhvvb45TakC44MjbnRJdIv3yQTeRyNmyhW9jxqTsfPRZocKBt3A+67bXq8VZomONoj+7Hmxefwp23HcdZ9qoJyTJj/WSycNSRkeMBsNywtcJxY/l94eHkdjeNI/P237sIM5wIPHIjdWPq9/8bajoEYO2UmZl5OGYgcK2jYjZV//jNW7T4N1qRgwFW46975cKzV2Lw5+g4ef2wZanmHY/R1+KdbZ6OSYisfvvIonlp1DB29rsBdX/04LvGdaeH88n0vf58geIr2Xz1M+cgK/PKhP2IvTY5xN/4nbrvMbFrHlfaZWNH2BCWAdTdw2KBe1dgPl0y/EnOdY758OdZ8aFmpeZVz8Pn7FniPubG8PhaHZ1JbKidrwIpffh+v7qVZSxbeR265E1ePysfJmlfw68VrwJ58xcx/xP3XO6zSNMDRuOk5PPa7jeDrbV7ZQIyYOBGThvShhp5G7arV2FzfROsmFQu4C8ARTfzyWlBBW0nU1fZIBO2lpR5kbMfJ1Yvws9/vUAHLBMHVeLZj02++jee2kpnWaxpuf+BTGK3B1U6T41uUxdhRhEm3/jtumeg3AcKBI3mmZoiMyfZ6bHh5CV7dsB8N9iWioLg/qmZdi4XzksRGfCZWVPcgcESvrmlmQ2ba4lBjTlv1Rb2Q6IXGj3mvaXfggU+OTuL6NWDPWy9h6Zs7cLTFslrzCvtg0IS/wcJPJbNSfcYrxHyNm0XkkhzZ9QF22W4CWnZixWtbaGcuD1W0pf95h+nZuPoJ/Oj3u9DqtkrDgqPvLNzzwPWooPF4hLJbm1VY4HO4OcGqIEt/2U/w+Eq6aNJtCpNu/TrN/SDnuSvBYXfsYqeyqQ5Ewtp2uDt5lC9wH+UL9HcetA6LvvkCthHgE92MsDkF4cBhZnEcwOs/+SXe5EsOBVIHjhiOfnRHx9499WDvqoQW//2UNu4ZWDUGRw2e/Y9nUNPqzLdI4SraCeBIfnbHxPccc106gvW/+RFe3MpXV3Jph4/G4LIm1O3ca12Jk1os5uDwc4+t1nlY34jN1bjkuLDgoAvzPTcBLzz+Do7lDcDcu76I+Z4mOJ8/Fo/Lq1qAr31+jiO25aV+uDXgN25puSrtNLG+RQTs8PD9YQwOvjxtwm8e+i3YqEiAQ92r+PHP/pdurfLaww4vhrYmwsU4BuIj9/8L5jkAFln5S3x3WS06fGIc0e9dGrXvW4af8kSgwKr7ChUdJGNwRMh8/jaZz3l0/8j/p/tHgq4+rumRdXDwmO/Eiz/4FdZSnLvX9H/AVz/u4WjuXorvPbGGtsSLMPLvv4w7Z9ixtUaCwiNkaZKZ6lvWL8YRer5GsPJxSh6stTYELpk5G9X9i3Gq5s94a1cTdcDLuvOZj9E5HH8vUsL4V5A7UvwBBf+LaBzvp3HUsUTv5Rxbl2EuGOHXitfZ0gIH2umK9l26orE/QZ+C4p4oLrCr72hFJHKWoJKmmWxXs/PFh/DkWhqQwVfjK/deE8sxOPEGfvbwcnCEJTFTMbwYGhxFk27FN2+Z5APWWH1xFoJjkpdQ+a9R+filqRcuN/Lv8ODdc+Po79s33QpjcND1xw7e5tH5/43On9KWcSrgiMZ6gDJyM75Obka6nyBdot+XkYv6dXJRHSeKrPgFHnp1L23OVePWb96CRC/V1OLwtnRj8T6v+U4w/A7BUE3jf8W9VqotfXRbAsBhHx3svtkHphR3C79WMgcOvkDUr8bvFr+JD0+fja83Q+CgW0F97lrUZjhvaLhNsrBi7MPLP3gMHPdEQCDVaSFUzrwL//y3xXj3qf/GayoyS5PlfspVSViVAe0ICiAHgaPyKtz7pflIeptdIwVvv0/B246SUFeruEH0ax+lOj/xuz0oHjACs66/BqOLTmL1ov/C7/lSz5/AoHQAUtY/jW++sM33opM05hRk/gdaHJWYe++XMd9X1CDwlGHK576KhWMdl5Cjr+Onj/wV9WQhxcfcdF1lmHb7g0hgrSMzFEU0xx6gORZq1zJ/QqYAAAjNSURBVC42r4OzQWPHVs79Ir7k33HPQUvP4kg2/lGLoDeJ8gCJkqKZnHDVdQ9oO7Y8+x08o8ydElTNvwd3zh1oX/HDgKMVh956Ek+8VqsCsLxlpoBw/QjfbazGTc/i54s3U95GrOPJt31jcPMcwKTgcAa6hmP+g/dA3/6RNCjtMSYHX/0RHlthBcyGzr4Rt86fgPIQwxHdavazGlWAcDVee2k5tqpt9QIMmHAJ2rZ+iPZJn8LdN10W6jwJTU66+E9Q7tAPKXeISnkFhwPA0agDjHAt1kDg6Fb6BcMdsYXKWbjzn6/HCJVR3EDXvkfoMQjsP7l3+RzWi3vHhYs6wBEMAKeKMY2SW9JA6/bn8aOnNyi3L/lGgvdizzw4HDkSFO5GaWkRLc0OtEZagGLaSckLuOror6OWi4c5F1mH3/z4RWy1czjyCktRqirm80TUHnfsd0BbSxPO9ihRx7S1nIEdjKdg2ixcNXA93tzaHDu+rQVN7fkoi/pe3KA2tJxpcWWO6r7pBtMxkQ4URvtrtcNrAGPmbQGKexbTsqN2U6Pyi4uQT+c/YzfQ7QalCg41eRf9FC9t42AiM9LdZq+xiPU1j9zE+8hN5NBO3RuP4lerKT/H0T5VuqAXRn/0LtxGuTybFv0QL2yjhVJQjJ6sn6eWScY/OuZ5pCPPFR7PZpwrLFOucHTs3O4rVxnNudFl+XgqW1SCwnPafSYJHH1SLTEGB9VxjNIDHrXSA0D5FMNH98PZ/XtxqNEKjE/45JfxmcucJoPz4me7+nDMuwQdQq4Znql6fusx4FXRGkEzzekSNTfVL+xwAgeUr8I/kvUamDXsakIngMNyY377zKvYcdS12ML3P+5Iz9u1KeX99cWv4N3ao1EQhK0+bvuODMnVv12EP3ol1dgVKgj1HYAJ067GLMqQrX1/Fd7bugdHT1twSPopomj7lynXJerONOCtR7+H1w74lyooLsfQadfhJpeFkDo4+By03bl1OZb8aRX2Hg/RXtUsWnz9qnHDnTfiMttEiT17hRcHgaF8kNLjKsr6VHk46lTBWoYdo+THuRPy2rF98ffw9AYOUnp/eAz7jb4GNy+cjSHOe4wyAQ4+ZeshvLv0d3QROmxtvROkew+agI988hOYFXfCbGvlIwiNYf+q2bh24TyMTSkAZtXXKeDIzORIvZbolbxoIm5+8DO4NIRZnvpZQpYgq2jRw7RtTFehvMppuPmz12J83yZ88Ien8NzaVPbbQ54vJw47gFd//BhWHOP9bLoF4LZbMWtYPurfXoQnleuZR0HIf6EgZNz+fYaUCZG3k6EznQ/VXDjgcOz0eO90ZH84eN//F08tx0E7dhhrAcUcrr4d91yd4Xtcst/F7J8xSXp3n0k30aMSLk1tByl0DwQcTqkuEHA4AlFJE4hCz5LMHdhKNxPVrEWNfUt+r8HVmDSVbsaL2veZO9X5UVOYAHZAT9QNZWuwoaYWJyjXp6iiCpOmXOF9Q1nGRBFwXFDgaD22Ga8/twQr1WU9ja3HjE0sqSicAhkAR7gTZfgoAcf5D47m7fjzi3/B5t2HcFwlm9GH8/ivuwO3ztBbsxmeN1JdhhRoR+TUKfATJ7vzIyYTOxtL5urez1bN0DAFVHOeuiqx7Sxrh+T/4YbrZ6TwHI/siCtnuZAUOF8tpc4Zg/MUHCQGPczkVHtpt30ocucMl9TadQqcr5ZS5yh2/oKjc/SQWkUBUSCEAgKOECLJIaKAKBCvgIBDZoQoIAqkrICAI2XJpIAoIAoIOGQOiAKiQMoKCDhSlkwKiAKigIBD5oAoIAqkrICAI2XJpIAoIAoIOGQOiAKiQMoKCDhSlkwKiAKigIBD5oAoIAqkrICAI2XJpIAoIAoIOGQOiAKiQMoKCDhSlkwKiAKigIBD5oAoIAqkrICAI2XJpIAoIAoIOGQOiAKiQMoKCDhSlkwKiAKigIBD5oAoIAqkrICAI2XJpIAoIAoIOHJ0Dpxta8OOPbuQn5+PMSNGIq9Hj0AlTtBrDXbs2Y1hgwdj6KDBgcfLAReuAgKOC3dsk/YsQm9yf/1/38Q5+ufKaTPQu1cvFBc538YcX7yx6Qz27N+Hd95fgysmT8XUSdU5qpx0mxUQcOToPGAQPL1kMU6SFXHZxGpMHjcBw4YM9VSjo6MDm7ZtxYYPtmD9ls1Y8DfzcM2cuTmqnHRbwJHDc6C5pQV/efdt7Kzdg6ZIEy6vnoKJY8ZgQL/+KCwoiCrT0NiIw0ePYPXG9ag7chhlpWWYM206Jo+fmMPqSdfF4sjROXDu3Dk0NUewat1aPL10MarHjMPll07BDHJDepaVRVXZta8Wazasx9otm1Deuw8+98mb0L+iX1K3JkclzaluCzhyarjjO9tGAdKD9YdRs2Mbtu/+EO3kksycMg2jqkagX9++2HvwADZ+sBXvb96oAqgTRo1G9djxKCkpQX5eXg4rJ10XcOT4HGB4RMht+cPy17Ft107aLRmECaPH4qKBg7GR4hq79+1F/fGjuOGj8zGF3JOS4mL0CLEDk+OyXvDdF3Bc8EOcvIPssnDwc3/dIdTs3Ia/vvsOepf1QmVFBXbv30tbr0PwkZlzcDEFTiv69EWeWBo5PmOs7gs4ZBooBVpaW7Dv0CG8tXolBUHrwcHTPr16o3rceMydPkNZGgX5saCpyJbbCgg4cnv843p/tu0sTtMuyvJ3Vqit14/Pm49xI0ehd89eopIoEKeAgEMmRFQBdlkYHgcO1+H4yZOoumiY2kkpLCwUlUQBAYfMAVFAFDBTQCwOM/2ktCiQkwoIOHJy2KXTooCZAgIOM/2ktCiQkwoIOHJy2KXTooCZAgIOM/2ktCiQkwoIOHJy2KXTooCZAgIOM/2ktCiQkwoIOHJy2KXTooCZAgIOM/2ktCiQkwoIOHJy2KXTooCZAgIOM/2ktCiQkwoIOHJy2KXTooCZAgIOM/2ktCiQkwoIOHJy2KXTooCZAgIOM/2ktCiQkwoIOHJy2KXTooCZAv8HZ83y51daYg0AAAAASUVORK5CYII=)
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