With the massive popularization of distributed generators, optimal economic dispatch has been a key optimization problem to maintain stable and efficient work of the whole system. In this paper, a new smooth reconstruction penalty function with continuous and piecewise linear differential is designed to deal with generation power constraints, which promotes to obtain a better suboptimal solution compared with the existing smooth penalty methods. A distributed predefined-time optimal economic dispatch strategy is presented by utilizing a time-based function. By employing the proposed strategy, the minimization of the generation cost with transmission loss under the power balance constraint and generation minimum/maximum constraints can be realized within a predefined settling time. The performance of the proposed optimization strategy is evaluated by simulations and hardware-in-the-loop experiments in terms of validity verification, robustness to load change and topology reconfiguration, plug-and-play functionality, and comparison with the existing results to illustrate the advantages of fast convergence and near optimal results.

中文翻译：

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微电网分布式预定时间最优经济调度


随着分布式发电机的大规模普及，最优经济调度已成为维持整个系统稳定高效工作的关键优化问题。本文设计了一种新的具有连续和分段线性微分的平滑重建罚函数来处理发电功率约束，与现有的平滑罚方法相比，有助于获得更好的次优解。利用基于时间的函数提出了分布式预定时间最优经济调度策略。通过采用所提出的策略，可以在预定义的稳定时间内实现功率平衡约束和发电最小/最大约束下发电成本和传输损耗的最小化。通过仿真和硬件在环实验对所提出的优化策略的性能进行了评估，包括有效性验证、对负载变化和拓扑重新配置的鲁棒性、即插即用功能，并与现有结果进行比较，以说明具有快速收敛和接近最优结果的优点。