Research Article

Multiobjective Model for Microgrids Integrating Electric Vehicles to Grid and Building Based on Interest Balance

Table 1

Indexes, parameters, and variables applied in the proposed model.

Nomenclature

Abbreviations
COSTCost
CDECarbon dioxide emission
PECPrimary energy consumption
CCHPCombined cooling, heating, and power
SOFCSolid oxide fuel cell
SRISolar radiation index
PVPhotovoltaic
EVElectric vehicle
CSCharging station

Subscript

Index of the slotted interval,
Number of microgrid,
Index for the EVs,

Parameters

Natural gas price ($/kWh)
Maintenance price of devices ($/kWh)
Electricity price form power grid at time ($/kWh)
Selling price of electricity to power grid at time ($/kWh)
Carbon dioxide emission factor for natural gas (kg/kWh)
Carbon dioxide emission factor for power grid (kg/kWh)
Primary energy conversion parameter for natural gas
Primary energy conversion parameter for power grid
Primary energy conversion parameter for solar
The limit of power grid (kWh)
The capacity of SOFC in microgrid (kWh)
The capacity of boiler in microgrid (kWh)
The capacity of absorption chiller in microgrid (kWh)
The capacity of electric chiller in microgrid (kWh)
The capacity of heat pump in microgrid (kWh)
The capacity of building’s PV in microgrid (kWh)
The capacity of CS’s PV in microgrid (kWh)
The capacity of CS’s EV in microgrid (kWh)
Solar radiation at time
Electric load of building in microgrid at time
Heating load of building in microgrid at time
Cooling load of building in microgrid at time
Electricity generation efficiency of building’s PV
Electricity generation efficiency of SOFC
Heating generation efficiency of SOFC
Cooling generation efficiency of absorption chiller
Cooling generation efficiency of electric chiller
Heating generation efficiency of boiler
Heating generation efficiency of heat pump
Electricity generation efficiency of CS’s PV
Minimal electricity store rate of EV in microgrid
Maximal electricity store rate of EV in microgrid
Initial battery electricity rate of EV in microgrid
Demand electricity level at departure time of EV in microgrid
1 h time interval
Minimal charging limit of EV in microgrid
Maximal charging limit of EV in microgrid
Minimal discharging limit of EV in microgrid
Maximal discharging limit of EV in microgrid
Transmission loss of electricity
Transmission loss of cooling
Parameters
A big enough number

Continuous decision variables (in time)

Natural gas consumption of SOFC in microgrid
Natural gas consumption of boiler in microgrid
Electricity generation of SOFC in microgrid
Electricity generation of building’s PV in microgrid
Electricity generation of CS’s PV in microgrid
Electricity flow from power grid to building in microgrid
Electricity flow from power grid to CS in microgrid
Electricity flow from building in microgrid to power grid
Electricity flow from CS in microgrid to power grid
Electricity flow from CS to building in microgrid
The electricity generated by electric chiller in microgrid
The electricity consumption by heat pump in microgrid
Electricity exchanged from microgrid to building in microgrid
Electricity exchanged from building to CS in the microgrid
Electricity exchanged from CS to power grid in microgrid
Electricity exchanged from CS to building in microgrid
Electricity needed by CS in microgrid
Electricity exchanged from microgrid to CS in microgrid
Electric energy charged to EV in microgrid
Electric energy discharged from EV in microgrid
Electric energy stored in EV in microgrid
Heat generated from boiler in microgrid
Heat generated from heat hump in microgrid
Cooling generated by electric chiller in microgrid
Cooling generated by absorption chiller in microgrid
Heating recovered from SOFC in microgrid
Heating consumption by absorption chiller in microgrid
Cooling exchanged from microgrid to building in microgrid

Binary decision variables (in time)

Charging state of EV in microgrid
Discharging state of EV in microgrid
1 if electricity imported from power grid to microgrid ; 0 otherwise
1 if electricity exported to power grid from microgrid ; 0 otherwise
1 if electricity flow from microgrid to building in microgrid ; 0 otherwise
1 if electricity flow from microgrid to CS in microgrid ; 0 otherwise
1 if cooling flow from microgrid to building in microgrid ; 0 otherwise