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Centre Node Unified Power Flow Controller (CUPFC) is a developed member of Flexible Alternating Current Transmission System (FACTS) connected at midpoint of transmission line. It has ability to control the power flow in transmission line (TL) as well as the voltage of the midpoint of TL. Solving the optimal power flow (OPF) problem is crucial task, and it became a difficult problem in case of integration FACTS devices into the system. Therefore, in this paper an efficient optimizer, namely Levy Spiral Flight Equilibrium Optimizer (LSFEO), is proposed for solving the OPF problem and determining the optimal allocation of CUPFC. The proposed algorithm is based on developing the Equilibrium Optimizer (EO) to enhance its searching capabilities. In this technique, two searching strategies are applied to enhance the exploration and exploitation processes of the traditional EO. The first strategy is based on Levy Flight Distribution to enable the optimizer to jump to new search areas for avoiding the stagnation of the traditional EO while the second strategy is based on spiral motion of the particles around the sorted best solution to boost the exploitation. The considered objective functions include fuel cost, fuel cost with valve point effect, emission, voltage deviations and the power losses. The validity and applicability of the proposed algorithm is demonstrated using the IEEE 30-bus system. The simulations verify the superiority of the proposed algorithm over the other reported algorithms. In addition, optimal inclusion of the CUPFC can reduce the cost, VD, losses, and emission considerably.

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