ai, bi, ci emission coefficients for thermal unit i
di, ef, fi fuel cost coefficients for thermal unit i
Bij, B0i, B00 transmission loss formula coefficients
Fik fuel delivery for thermal unit i during subinterval k, in tons
Fimin, Fimax lower and upper fuel delivery limits for thermal unit i, in tons
M number of subintervals of scheduled period
N total number of thermal units;
PDk load demand of the system during subinterval k, in MW
PLk transmission loss of the system during subinterval k, in MW
Pik output power of thermal unit i during subinterval k, in MW
Pimin, Pimax lower and upper generation limits of thermal unit i, in MW
Qik fuel consumption function of thermal unit i in subinterval k, in tons/h
tk duration of subinterval k, in hours
Xi0 initial fuel storage for unit i, in tons
Xik fuel storage for unit i during subinterval k, in tons
Ximin, Ximax lower and upper fuel storage limits for thermal unit i, in tons
Vp,ik output of continuous neuron representing for output power Pik
Vf,ik output of continuous neuron representing for fuel delivery Fik
Vx,ik output of continuous neuron representing for fuel storage Xik
Vλ,k output of multiplier neuron associated with power balance constraint
Vγ,k output of multiplier neuron associated with fuel delivery constraint
Vη,ik output of multiplier neuron associated with fuel storage constraint
Up,ik, Uf,ik, Ux,ik inputs of continuous neurons corresponding to the outputs Vp,ik, Vf,ik and Vx,ik, respectively
Uλ,k, Uγ,k, Uη,ik inputs of multiplier neurons corresponding to the outputs Vλ,k, Vγ,k and Vη,ik, respectively
ΔPk power balance constraint error in sub-interval k, in MW
ΔFk fuel delivery constraint error in subinterval k, in tons
ΔXik fuel storage constraint error for unit i during subinterval k, in tons
ΔVp,ik, ΔVf,ik, ΔVx,ik iterative errors of continuous neurons
σ slope of sigmoid function of continuous neurons
αp, αf, αx updating step sizes for continuous neurons
αλ, αγ, αη updating step sizes for multiplier neurons
φ0i, φ1i, φ2i fuel consumption coefficients for thermal unit i
λk, γk, ηik Lagrangian multipliers associated with power balance, fuel delivery and fuel storage constraints, respectively
βλ,k, βγ,k, βη,sk penalty factors associated with power balance, fuel delivery and fuel storage constraints, respectively