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Time dependent model of a complex PV water pumping system

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  • Badescu, Viorel

Abstract

A complex time-dependent solar water pumping system is analysed in this paper. Several existing models (e.g. for the PV cell, the battery and the assembly electric motor—centrifugal pump) are used. New models are proposed for PV array and water storage tank operation. 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 eight or five ordinary differential equations, as a function of the operating mode. Using a water storage tank improves the stability of PV pumping system operation. The mechanical power stored in the water tank is rather constant during the year. The fraction of collected solar energy that is stored in the water’s gravitational energy is higher during the winter months, during the cloudy days and around sunrise and sunset. It is smaller during the summer months, during the clear sky days and in the middle of the day. The fraction of the power supplied by the battery that is stored in the gravitational energy of water is almost constant during the year.

Suggested Citation

  • Badescu, Viorel, 2003. "Time dependent model of a complex PV water pumping system," Renewable Energy, Elsevier, vol. 28(4), pages 543-560.
    • Handle: RePEc:eee:renene:v:28:y:2003:i:4:p:543-560
    DOI: 10.1016/S0960-1481(02)00069-1
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    References listed on IDEAS

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    1. Koner, P.K., 1995. "Optimization techniques for a photovoltaic water pumping system," Renewable Energy, Elsevier, vol. 6(1), pages 53-62.
    2. 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. Tiwari, Arunendra K. & Kalamkar, Vilas R., 2016. "Performance investigations of solar water pumping system using helical pump under the outdoor condition of Nagpur, India," Renewable Energy, Elsevier, vol. 97(C), pages 737-745.
    2. Ould-Amrouche, S. & Rekioua, D. & Hamidat, A., 2010. "Modelling photovoltaic water pumping systems and evaluation of their CO2 emissions mitigation potential," Applied Energy, Elsevier, vol. 87(11), pages 3451-3459, November.
    3. Hamidat, A. & Benyoucef, B., 2008. "Mathematic models of photovoltaic motor-pump systems," Renewable Energy, Elsevier, vol. 33(5), pages 933-942.
    4. Hamidat, A. & Benyoucef, B., 2009. "Systematic procedures for sizing photovoltaic pumping system, using water tank storage," Energy Policy, Elsevier, vol. 37(4), pages 1489-1501, April.
    5. Tiwari, Arunendra K. & Kalamkar, Vilas R., 2018. "Effects of total head and solar radiation on the performance of solar water pumping system," Renewable Energy, Elsevier, vol. 118(C), pages 919-927.
    6. 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.
    7. Aliyu, Mansur & Hassan, Ghassan & Said, Syed A. & Siddiqui, Muhammad U. & Alawami, Ali T. & Elamin, Ibrahim M., 2018. "A review of solar-powered water pumping systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 87(C), pages 61-76.
    8. Parida, Bhubaneswari & Iniyan, S. & Goic, Ranko, 2011. "A review of solar photovoltaic technologies," Renewable and Sustainable Energy Reviews, Elsevier, vol. 15(3), pages 1625-1636, April.
    9. Gopal, C. & Mohanraj, M. & Chandramohan, P. & Chandrasekar, P., 2013. "Renewable energy source water pumping systems—A literature review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 25(C), pages 351-370.

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