Résumé:
The aim of this thesis is to explore a mathematical approach to modeling and optimizing
the energy consumption of household appliances. The approach is based on a Centralized
Home Energy Management System (HEMS) which schedules the use of home appliances
to coincide with a lower electricity tariff resulting in a reduced electricity bill. The studied
problem is modeled as a combination of Linear Programming (LP) and Mixed Integer
Linear Programming (MILP) and solved using both free and commercial softwares. Numerical
results for simulated scenarios are provided to showcase the applicability of the
approach.
After studying this issue, we resorted to using methods to solve the integer linear programming
problem and finally presented a program that facilitates this work.
Keywords: Home Energy Management System, Mixed Integer Linear Programming, Energy Minimization,
Home Appliances Scheduling.
