A Mixed-integer programming approach for identifying optimal levels of hydrogen fuel as a renewable energy source

Authors

  • Purva Mehru Department of Mathematical Sciences, George Mason University, Fairfax, VA
  • Raina Saha Department of Mathematical Sciences, George Mason University, Fairfax, VA
  • Padmanabhan Seshaiyer Department of Mathematical Sciences, George Mason University, Fairfax, VA

Abstract

Green hydrogen presents an opportunity to move towards a more sustainable and low-carbon energy future and has
potential to address the current challenges faced by the world in terms of climate change and adverse health effects of
using fossil fuels. While new technologies are coming up every day for more efficient solutions to address the challenges
posed by climate change, this research aims to look at the current cost of liquid and gas hydrogen, considering sugarcane
as the source. In this work, we model a real-world problem using a mixed-integer optimization approach and solve it
using Excel's built-in optimization solver, taking into account cost functions that need to be minimized and constraints as
restrictions related to the production, distribution, and storage of liquid and gas hydrogen fuel, considering sugarcane as
a source. To identify the best course of action, data on demand, manufacturing costs, and storage costs were examined
as potential factors as well. The research establishes a relationship between the use of hydrogen and gasoline based on
their current costs while limiting overall pollution. Our results provide important insights into making decisions on using
hydrogen fuel as a potential option for renewable energy.

Published

2024-10-13

Issue

Section

College of Science: Department of Mathematical Sciences