This article presents an optimization model for tertiary control in three-phase unbalanced microgrids. This model considers 24h operation and includes renewable energy sources, energy storage devices, and grid code limitations. Power flow equations are simplified using a recently developed approximation based on Wirtinger’s calculus. The proposed model is evaluated both theoretically and practically. From the theoretical point of view, the model is suitable for tertiary control since it is convex; hence, global optimum, uniqueness of the solution, and convergence of the interior point method are guaranteed. From the practical point of view, the model is simple enough to be implemented in a small single-board computer with low time calculation. The latter is evaluated by implementing the model in a Raspberry-Pi board with the CIGRE low voltage benchmark; the model is also evaluated in the IEEE 123-nodes test system for power distribution networks.

本文提出了三相不平衡微电网三次控制的优化模型。该模型考虑了 24 小时运行，包括可再生能源、储能设备和电网规范限制。使用最近开发的基于 Wirtinger 演算的近似方法简化了潮流方程。对所提出的模型进行了理论和实践评估。从理论上讲，该模型是凸的，适用于三次控制；因此，保证了全局最优、解的唯一性和内点法的收敛性。从实用的角度来看，该模型足够简单，可以在小型单板计算机中实现，计算时间短。后者是通过在具有 CIGRE 低电压基准的 Raspberry-Pi 板中实现模型来评估的；该模型还在用于配电网络的 IEEE 123 节点测试系统中进行了评估。