Increased investiture towards Distribution Generation (DG) in recent past had prompted for transmutation of existing networks to form microgrids that can operate autonomously or in conjunction with main-grid. In particular, the augmenting zeal for renewable DGs is thriving at recent times; but non-dispatchability and uncertain nature pose specific challenges, which is the primary concern in this work. This paper employs Point Estimate Method (PEM) for handling uncertainties to solve the probabilistic-optimal power flow problem (POPF) with multiple objectives formulated in an islanded microgrid with droop coordinated DGs including uncertainties involved in load, wind and solar PV with suitable probability distributions. The devised POPF problem is proposed to solve for optimal droop parameters by multi-objective ant-lion optimization algorithm; tested and verified on modified 33-bus system. Furthermore, in actuality, spatial correlations among renewables play vital role in devising operational schedule for energy management strategies. This paper deals with PEM compounded with Nataf Transformation for POPF to handle spatial correlations in renewable generations. The dominance of wind correlation over solar PV correlations in POPF problem is highlighted. The robustness of proposed approach is verified with benchmark Monte Carlo Simulation (MCS) to affirm about its accuracy for suitable replacement of proposed approach to MCS.

最近对分配发电（DG）的投资增加，促使对现有网络进行改造，形成了可以自主运行或与主电网结合运行的微电网。特别是，近来可再生DG的热情高涨。但是不可调度性和不确定性带来了特殊的挑战，这是这项工作的主要关注点。本文采用点估计法（PEM）来处理不确定性，以多目标的概率最优潮流问题（POPF）解决在具有微调协调DG的孤岛微电网中，包括具有适当概率分布的负荷，风能和太阳能PV的不确定性。提出了POPF问题，通过多目标蚁群优化算法求解最优下垂参数。在改良的33总线系统上进行了测试和验证。此外，实际上，可再生能源之间的空间关系在制定能源管理策略的运行时间表中起着至关重要的作用。本文讨论了将PEM与Nataf变换相结合的POPF，以处理可再生能源中的空间相关性。在POPF问题中，风相关性比太阳能PV相关性更重要。建议的方法的鲁棒性已通过基准蒙特卡罗模拟（MCS）进行了验证，以确认其正确替代建议的MCS方法的准确性。本文讨论了将PEM与Nataf变换相结合的POPF，以处理可再生世代中的空间相关性。在POPF问题中，风相关性比太阳能PV相关性更重要。建议的方法的鲁棒性已通过基准蒙特卡罗模拟（MCS）进行了验证，以确认其正确替代建议的MCS方法的准确性。本文讨论了将PEM与Nataf变换相结合的POPF，以处理可再生世代中的空间相关性。在POPF问题中，风相关性比太阳能PV相关性更重要。建议的方法的鲁棒性已通过基准蒙特卡罗模拟（MCS）进行了验证，以确认其正确替代建议的MCS方法的准确性。