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A novel analytical model for optimal sizing of standalone photovoltaic systems

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  • Jakhrani, Abdul Qayoom
  • Othman, Al-Khalid
  • Rigit, Andrew Ragai Henry
  • Samo, Saleem Raza
  • Kamboh, Shakeel Ahmed

Abstract

This paper presents a novel analytical model for the determination of optimal sizing of standalone photovoltaic (PV) systems with least cost and predetermined reliability to satisfy load. Algebraic equations for optimal PV array area (Aopt), optimal useful battery storage capacity (Cu,opt) and the constant of integration (kopt) has been formulated. The proposed model provides the system output directly without going through the calculation of PV array capacity (Ca) and battery storage capacity (Cb). It is different from previous models, which only optimize the system parameters Ca and Cb without involving load. The isoreliability curves of proposed model are compared with other analytical and numerical methods with the pair of Ca and Cb in different environmental conditions without load involvement. The formulated model is also applied for the optimal sizing of a standalone PV system for domestic purpose at Kuching, Sarawak, Malaysia. The required optimal PV array area (Aopt) and useful battery storage capacity (Cu,opt) is determined with various load demands and loss of load probability (LLP). Proposed analytical model is more constructive due to incorporation of many useful variables namely desired LLP value, latitude and clearness index of location, load demand and unit cost of PV array and battery capacity. It is also rational in terms of power reliability and cost, and simple to implement for the size optimization of standalone PV systems as compared to existing models.

Suggested Citation

  • Jakhrani, Abdul Qayoom & Othman, Al-Khalid & Rigit, Andrew Ragai Henry & Samo, Saleem Raza & Kamboh, Shakeel Ahmed, 2012. "A novel analytical model for optimal sizing of standalone photovoltaic systems," Energy, Elsevier, vol. 46(1), pages 675-682.
  • Handle: RePEc:eee:energy:v:46:y:2012:i:1:p:675-682
    DOI: 10.1016/j.energy.2012.05.020
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    12. Castellano, Nuria Novas & Gázquez Parra, José Antonio & Valls-Guirado, Juan & Manzano-Agugliaro, Francisco, 2015. "Optimal displacement of photovoltaic array’s rows using a novel shading model," Applied Energy, Elsevier, vol. 144(C), pages 1-9.
    13. Muhsen, Dhiaa Halboot & Nabil, Moamen & Haider, Haider Tarish & Khatib, Tamer, 2019. "A novel method for sizing of standalone photovoltaic system using multi-objective differential evolution algorithm and hybrid multi-criteria decision making methods," Energy, Elsevier, vol. 174(C), pages 1158-1175.
    14. Abdullah Al Shereiqi & Amer Al-Hinai & Mohammed Albadi & Rashid Al-Abri, 2020. "Optimal Sizing of a Hybrid Wind-Photovoltaic-Battery Plant to Mitigate Output Fluctuations in a Grid-Connected System," Energies, MDPI, vol. 13(11), pages 1-21, June.
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    16. Ciabattoni, Lucio & Grisostomi, Massimo & Ippoliti, Gianluca & Longhi, Sauro, 2014. "Fuzzy logic home energy consumption modeling for residential photovoltaic plant sizing in the new Italian scenario," Energy, Elsevier, vol. 74(C), pages 359-367.
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    19. Mandelli, Stefano & Brivio, Claudio & Colombo, Emanuela & Merlo, Marco, 2016. "A sizing methodology based on Levelized Cost of Supplied and Lost Energy for off-grid rural electrification systems," Renewable Energy, Elsevier, vol. 89(C), pages 475-488.

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