In this study, a hybrid algorithm that focused on the water cycle and moth flame (WCMF) algorithm to solve the optimal relay coordination problem in a Microgird has been proposed. In the hybrid WCMF algorithm, the spiral movement of the moth is incorporated in the basic water cycle algorithm (WCA) to increase its performance. Further, the Levy flight function has been added to explore the randomization of the current hybrid model. Due to the Levy flight, the hybrid WCMF algorithm tremendously improves its performance. The competency of the latest hybrid WCMF algorithm is examined in a microgrid to optimize the Time Dial Setting (TDS). An optimum TDS reduces the total operating time of relays installed in the microgrid. A minimum total operating time provides fast protection and enhances the reliability of the network. In this proposed work, the total operating time is obtained only 7.728 s. which is reduced by 66.69%, 59.75%, and 18.52% respectively over the PSO, WCA, and ERWCA techniques. Besides, the proposed techniques obtained this fine results with less control parameters, fewer iterations, and less computational time. Therefore, the hybrid WCMF algorithm is the best tool to enhance microgrid protection coordination compared to the existing techniques.

在这项研究中，提出了一种以水循环和飞蛾（WCMF）算法为重点的混合算法，以解决Microgird中的最佳继电器协调问题。在混合WCMF算法中，将飞蛾的螺旋运动合并到基本水循环算法（WCA）中以提高其性能。此外，还增加了征费飞行功能以探索当前混合模型的随机性。由于征费飞行，混合WCMF算法极大地提高了其性能。在微电网中检查了最新混合WCMF算法的能力，以优化时间拨号设置（TDS）。最佳的TDS可以减少安装在微电网中的继电器的总运行时间。最短的总运行时间可提供快速保护，并增强网络的可靠性。在这项拟议的工作中，总运行时间仅为7.728 s。与PSO，WCA和ERWCA技术相比，分别减少了66.69％，59.75％和18.52％。此外，所提出的技术以较少的控制参数，较少的迭代和较少的计算时间获得了良好的结果。因此，与现有技术相比，混合WCMF算法是增强微电网保护协调性的最佳工具。