# Table 1 List of the symbols of the system elements

Element Property Symbol
Power network Model Ω
State T
Power generators and consumers Combined set $$\mathcal {P}=\mathcal {P}^{G} \cup \mathcal {P}^{C}$$
Set of power generators $$\mathcal {P}^{G}=\left \{P_{1}^{G},...,P_{|\mathcal {P}^{G}|}^{G}\right \}$$
Set of power consumers $$\mathcal {P}^{C}=\left \{P_{1}^{C},...,P_{|\mathcal {P}^{C}|}^{C}\right \}$$
Position $$P_{i}^{x}.pos = L_{j}$$ for x{G,C}
Power value $$P_{i}^{x}.pv$$ for x{G,C}
Vector of all power values P
Buses Set of buses $$\mathcal {B}= \left \{B_{1},..., B_{|\mathcal {B}|} \right \}$$
Vector of incoming lines Bi.in=[Lj,...,Ln]
Vector of outgoing lines Bi.out=[Lc,...,Lh]
Transformers Set of transformers $$\mathcal {T} = \left \{ T_{1},..., T_{|\mathcal {T}|}\right \}$$
Transformer rate Ti.r
Tap switch position Ti.p
Vector of all tap positions T
Power lines Set of power lines $$\mathcal {L} = \left \{L_{1},...,L_{|\mathcal {L}|}\right \}$$
Position Li.pos=(Bk,Bn)
Maximum current Li.Imax
Reference voltage Li.Vref
Meter (side of Bk) Li.Bk.M=Md
Vector of meters on line Li Li.M=[Md,...,Mh]
Switch (side of Bk) Li.Bk.S=Se
Vector of switches on line Li Li.S=[Se,...,So]
Fuse (side of Bk) Li.Bk.F=Fu
Vector of fuses on line Li Li.F=[Fu,...,Fy]
Meters Set of meters $$\mathcal {M} = \left \{M_{1},...,M_{|\mathcal {M}|}\right \}$$
Position Mi.pos=Li.Bn
Measured current Mi.I
Measured voltage Mi.V
Vector of states of all readings M
Switches Set of switches $$\mathcal {S} = \left \{S_{1},...,S_{|\mathcal {S}|}\right \}$$
Position Si.pos=Li.Bn
State of the switch Si.st
Vector of states of all the switches S
Fuses Set of fuses $$\mathcal {F} = \left \{F_{1},..., F_{|\mathcal {F}|}\right \}$$
Position Fi.pos=Li.Bn
State of the fuse Fi.st
Vector of states of all fuses F
Protective relays(circuit breakers) Set of protective relays $$\mathcal {R} = \left \{ R_{1},...,R_{|\mathcal {R}|}\right \}$$
Position (on a switch) Ri.S=Sj
Cutting current Ri.Imax