This paper presents a new hybrid algorithm of Harris hawks’ optimization with sequential quadratic programming (HHO-SQP) for optimal coordination of directional overcurrent relays to find optimal relays settings. The SQP procedure is employed in the hybrid algorism as a local search mechanism to enhance the performance of the original HHO method. The optimization problem is described based on a developed objective function as a non-linear and highly constrained optimization problem to minimize the total operating time for primary relays at the same time of maximizing the backup relays operating time. The developed objective function is subject to some constraints related to the coordination process including the absence of any miss coordination between primary and backup relays. The performance of the proposed algorithm based on the new objective function is implemented for two different test systems. The results of the proposed algorithm is compared with those obtained from other recent meta-heuristic techniques. The results show that the new hybrid algorithm outperforms the recently published meta-heuristic algorithms.

本文提出了一种具有顺序二次规划（HHO-SQP）的哈里斯霍克（Harris hawks）优化的新混合算法，用于定向过流继电器的最佳协调，以找到最佳继电器设置。SQP过程在混合算法中用作局部搜索机制，以增强原始HHO方法的性能。基于已开发的目标函数将优化问题描述为非线性且高度受限的优化问题，以最大程度地减少主继电器的总运行时间，同时又将备用继电器的运行时间最大化。所开发的目标函数受到与协调过程有关的一些约束，包括在主中继和备用中继之间没有任何未命中的协调。针对两个不同的测试系统，实现了基于新目标函数的算法的性能。将该算法的结果与从其他最近的元启发式技术获得的结果进行比较。结果表明，新的混合算法优于最近发布的元启发式算法。