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In the proposed protection coordination scheme, the depreciation of the operation time of the entire relay in the primary and backup protection modes for all possible fault locations is considered as the objective function. The limitations of this problem include the equations for calculating the operation time of the relays in both forward and reverse directions, the limitation of the coordination time interval, the limitation of the setting parameters of the proposed relays, the restriction of the size of the reactance that limits the fault current, and the limitation of the standing time of distributed generation per small signal fault. The operation time of the relays depends on the short circuit current passing through them, so it is necessary to calculate the network variables before the fault occurs. For this purpose, optimal daily power distribution should be used in the micro-grid, because micro-grids consist of storage and renewable resources. The proposed plan includes the uncertainties of consumption and generation capacity of renewable resources. Then, to achieve a reliable answer with a low standard deviation, the refrigeration optimization algorithm is used to solve the proposed problem. Finally, the proposed design is implemented on the standard test system in the MATLAB software, and then the capabilities of the proposed design are examined.

在所提出的保护配合方案中，将所有可能故障位置下主保护与后备保护模式中全部继电器（Relay）的动作时间最小化作为目标函数。该问题的约束条件包括：正、反向继电器动作时间计算方程、配合时间间隔约束、所提继电器的整定参数约束、限制故障电流的电抗值约束，以及小信号故障下分布式发电（Distributed Generation）的待机时间约束。继电器的动作时间取决于流过其自身的短路电流，因此需在故障发生前计算网络变量。为此，微电网（Microgrid）应采用日最优功率分配方案，因为微电网由储能系统与可再生能源资源构成。所提方案考虑了可再生能源的出力与用电负荷的不确定性。随后，为获得低标准差的可靠求解结果，采用制冷优化算法求解所提出的问题。最后，在MATLAB软件的标准测试系统上进行仿真实现，并对所提方案的性能进行验证分析。