Research Article Open Access

A Mixed Integer Linear Programming for Optimising the Residential Solar Energy Storage System

Teube Cyrille Mbainaissem1, Dethie Dione2, Bakary Kone3 and Youssoupha Toure2
  • 1 Department of Mathematics and Computer Science, University of N'Djamena, Ndjamena, Chad
  • 2 Department of Formation, SEFS, University of Gaston Berger, Saint-Louis, Senegal
  • 3 Department of Mathematics and Computer Science, University of Felix Houphouet Boigny, Abidjan, Cote D'Ivoire

Abstract

The global electricity sector is facing a major transition to sustainable energy sources, with consumers playing a crucial role in realising the full potential of the international energy market. Residential energy storage systems are a priority to promote local flexibility and participation in the energy transition. The combination of solar energy generators and storage batteries is a key method of achieving self sufficiency in residential buildings, thereby increasing individual household independence. A mixed-integer linear programming (MILP) model formulated in AMPL and solved with CPLEX optimizes battery dimensions and operation, thereby improving performance and extending lifespan.

Journal of Mathematics and Statistics
Volume 22 No. 1, 2026, 29-44

DOI: https://doi.org/10.3844/jmssp.2026.29.44

Submitted On: 16 September 2025 Published On: 16 July 2026

How to Cite: Mbainaissem, T. C., Dione, D., Kone, B. & Toure, Y. (2026). A Mixed Integer Linear Programming for Optimising the Residential Solar Energy Storage System. Journal of Mathematics and Statistics, 22(1), 29-44. https://doi.org/10.3844/jmssp.2026.29.44

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Keywords

  • Energy Optimisation
  • Residential Storage
  • Self-Consumption
  • Photovoltaic Systems
  • Intelligent Management
  • Energy Transition