I. Nomenclature
Cost for building branch .
Cost of installation of capacitors.
Cost of installation of DESSs.
Cost of losses.
Cost of energy for price arbitrage.
Cost of reactive power imported from HV grid.
Cost of reactive power provided by DG units.
Cost of network upgrading.
Cost for upgrading branch .
Energy stored in the DESS located at node and at the end of the th time interval of the th year.
Cost of branch maintenance.
Number of days of the th year characterized by a specified load and generation level at the th interval.
Number of time intervals at the th year.
Number of years of the planning period.
Size of DESS base unit.
Active power of DESS at th node and th time interval of the th year.
Total DESSs active power at th time interval of the th year (sum of on all grid nodes).
Distribution system active power losses at th interval of the th year.
Installation price of capacitor base unit.
Installation price of DESS base unit.
DG reactive power price at th time interval of the th year.
Losses price at th time interval of the th year.
HV reactive power price at th time interval of the th year.
Active energy price at the th time interval of the th year.
Size of capacitor base unit.
DG total reactive power at th time interval of the th year.
Reactive power imported from HV grid at th time interval of the th year.
Specified value of .
Residual value of branch .
Number of DESS base units at node .
Number of capacitor base units at node .
Total number of nodes.
Total number of nodes where capacitors are installed.
Total number of nodes where DESSs are installed.
Total number of branches in the network.
Discount rate.
Rate of change of .
Rate of change of .
Rate of change of .
Rate of change of .
DESSs charging efficiency.
DESSs discharging efficiency.
Duration of the th time interval of the th year.