Table 1 Decision variables

Grid

P ^imp

\(\mathbb {R}_{+}^{T}\)

W

imported power (from the grid)

P ^exp

\(\mathbb {R}_{+}^{T}\)

W

exported power (to the grid)

P ^cur

\(\mathbb {R}_{+}^{T}\)

W

curtailed power

P ^max

\(\mathbb {R}_{+}^{M}\)

W

monthly exchange peak

PV

n ^mod

\(\mathbb {N}^{N}\)

-

PV configurations, number of units

b ^mod

{0,1}^N

-

PV configurations active (Y/N)

b ^pv

{0,1}

-

PV installation, presence

Battery

P ^cha

\(\mathbb {R}_{+}^{T\times B}\)

W

battery charging power

P ^dis

\(\mathbb {R}_{+}^{T\times B}\)

W

battery discharging power

E ^bat

\(\mathbb {R}_{+}^{(T+1)\times B}\)

J

battery capacity

E ^cap

\(\mathbb {R}_{+}^{B}\)

J

nominal battery capacity

b ^bat

{0,1}

-

battery, presence