Multi-Fuel Power Dispatch in an Interconnected Power System using Ant Lion Optimizer: Multi-Fuel Dispatch Considering Tie-Line Limits

Nomenclature

• α_ij, β_ij,γ_ij emission coefficients of generating unit i for fuel type j

• a_ij, b_ij,c_ij, e_ij, f_ij fuel cost coefficients of generating unit i for fuel type j

• B_ij network loss coefficients

• P_i^min, P_i^max Minimum and maximum real power generation limits of unit i in MW

• -T_ip^max power flow limit from area i to area p

• T_ip^max power flow limit from area p to area i

• µ_i fuzzy membership function of objective i

• µ^k normalised membership function value of candidate k

• A_i,k position of i^th ant at iteration k

• AL_j,k position of j^th ant lion at iteration k

• E_i(P_i) pollutant emission function of generator i with real power output of P_i in kg/h

• F_i(P_i) fuel cost function of generator i with real power output of P_i in $/h

• iter_max maximum iteration number

• m_i,k maximum of all variables at ant i

• m_i,k maximum of variable i at iteration k

• m_k maximum of all variables at iteration k

• N number of generating units

• NA number of area

• N_d number of decision variables

• P_d real power demand in MW

• P_i real power output of generator i in MW

• P_ij real power output of generator i using fuel j in MW

• P_L real power loss in MW

• Ps number of search agents

• q_i,k minimum of all variables for ant i

• q_i,k minimum of variable i at iteration k

• q_k minimum of all variables at iteration k

• R_A,k random walk around the ant lion selected by the roulette wheel at iteration k

• R_B,k random walk around the elite at iteration k

• r_i, m_i minimum and maximum random walks of variable i

• T_ik tie line real power transfer from area i to area k

• X_i^k value of variable i at iteration k