The mentioned optimization problem in section 3 is formulated
as a MOP problem subjected to a set of constraints, in which decision
variables are defined as the installed capacity of the components.
Moreover, the allocation coefficients of the technologies to
meet heating, cooling, electricity, and transportation load are also
defined as decision variables. The allocation coefficient is defined as
the portions of energy load that must be provided by the corresponding
component. These coefficients are defined to aid the
model in selecting the best dispatch strategy if two or more components
are chosen to provide energy load simultaneously. Three
objective functions are considered: total NPC, RER, and CO2 emission.
The constraints represent the energy balances between
components and other technical constraints, which introduce the
physical concept of the problem. The following section presents the
mathematical formulation for the objective functions and
constrains.