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Dynamic model of a complex system including PV cells, electric battery, electrical motor and water pump

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  • Badescu, Viorel

Abstract

The time dependent operation of several components of a PV pumping system (i.e. the PV cell, the PV array, the battery and the assembly electric motor—centrifugal pump) is modelled in this paper. The system has two main operating modes, which depend on the level of the incident solar global irradiance. The mathematical model consists of systems of seven or four ordinary differential equations, respectively, according to the operating mode. A computer simulation code is developed. Clear days with high incident solar irradiance and high cell temperature Tcell are characterised by lower PV efficiency, while the cell efficiency is larger on cloudy days, when the temperature Tcell is smaller. The sun-to-user efficiency is larger during the winter months. The battery acts as a buffer, as the main part of the electricity supplied by the PV array is used to drive the motor. The value of the PV cell series resistance Rs causes the battery to operate under two different regimes: when Rs is larger, the battery is over-discharged once or twice each month in the cold season. In case Rs is small, the battery is over-charged once per month in the warm season. The electric power used to drive the motor is rather constant during the year.

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  • Badescu, Viorel, 2003. "Dynamic model of a complex system including PV cells, electric battery, electrical motor and water pump," Energy, Elsevier, vol. 28(12), pages 1165-1181.
    • Handle: RePEc:eee:energy:v:28:y:2003:i:12:p:1165-1181
    DOI: 10.1016/S0360-5442(03)00115-4
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    References listed on IDEAS

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    1. Smith, R.R. & Hwang, C.C. & Dougall, R.S., 1994. "Modeling of a solar-assisted desiccant air conditioner for a residential building," Energy, Elsevier, vol. 19(6), pages 679-691.
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    1. Lubomír Klimeš & Pavel Charvát & Jiří Hejčík, 2018. "Comparison of the Energy Conversion Efficiency of a Solar Chimney and a Solar PV-Powered Fan for Ventilation Applications," Energies, MDPI, vol. 11(4), pages 1-15, April.
    2. Rawat, Rahul & Kaushik, S.C. & Lamba, Ravita, 2016. "A review on modeling, design methodology and size optimization of photovoltaic based water pumping, standalone and grid connected system," Renewable and Sustainable Energy Reviews, Elsevier, vol. 57(C), pages 1506-1519.
    3. Ming-Che Hu & Chihhao Fan & Tailin Huang & Chi-Fang Wang & Yu-Hui Chen, 2018. "Urban Metabolic Analysis of a Food-Water-Energy System for Sustainable Resources Management," IJERPH, MDPI, vol. 16(1), pages 1-11, December.
    4. Wang, Yanqiu & Ji, Jie & Sun, Wei & Yuan, Weiqi & Cai, Jingyong & Guo, Chao & He, Wei, 2016. "Experiment and simulation study on the optimization of the PV direct-coupled solar water heating system," Energy, Elsevier, vol. 100(C), pages 154-166.
    5. Ma, Tao & Yang, Hongxing & Lu, Lin, 2014. "Solar photovoltaic system modeling and performance prediction," Renewable and Sustainable Energy Reviews, Elsevier, vol. 36(C), pages 304-315.
    6. Lund, H., 2006. "Large-scale integration of optimal combinations of PV, wind and wave power into the electricity supply," Renewable Energy, Elsevier, vol. 31(4), pages 503-515.
    7. Kaldellis, John & Kavadias, Kosmas & Zafirakis, Dimitrios, 2012. "Experimental validation of the optimum photovoltaic panels' tilt angle for remote consumers," Renewable Energy, Elsevier, vol. 46(C), pages 179-191.
    8. Atlam, Ozcan & Kolhe, Mohan, 2013. "Performance evaluation of directly photovoltaic powered DC PM (direct current permanent magnet) motor – propeller thrust system," Energy, Elsevier, vol. 57(C), pages 692-698.
    9. Lund, Henrik, 2005. "Large-scale integration of wind power into different energy systems," Energy, Elsevier, vol. 30(13), pages 2402-2412.

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