This paper presents a probabilistic stability constrained optimal configuration model to simultaneously consider uncertainties with correlation and small signal stability for distribution system in the presence of photovoltaic based distributed generation (PV-DG) and small hydro power plant based DG (SHPP-DG). The objective is to minimize real power loss, number of switching operations and maximize the voltage stability margin while maintaining the constraints of bus voltage, branch current carrying capacity, and radiality of distribution system (DS) and preserving the small signal stability of the DS. Further, the impact of PV penetration on the small signal stability constrained distribution system reconfiguration (DSR) is assessed. It is also shown that the stochastic variation of PV-DG can cause system instability. With increasing level of PV-DG penetration, the probability of the system becoming unstable increases. For solving this constrained, multi-objective optimization problem, a knee point driven evolutionary algorithm along with three point estimation (KnEA-PE) method is applied. The feasibility and effectiveness of this method has been tested on IEEE 33 bus, IEEE 69 bus and IEEE 119 bus radial distribution systems.

本文提出了一种概率稳定受限的最优配置模型，该模型同时考虑了存在基于光伏的分布式发电（PV-DG）和基于小型水力发电厂的DG（SHPP-DG）时配电系统的相关性不确定性和小信号稳定性。目的是在保持总线电压，支路载流能力和配电系统（DS）半径的约束的同时，最小化实际功率损耗，开关操作次数并最大化电压稳定性裕度，并保持DS的小信号稳定性。此外，评估了PV穿透对小信号稳定性约束的配电系统重新配置（DSR）的影响。还表明，PV-DG的随机变化会导致系统不稳定。随着PV-DG渗透水平的提高，系统变得不稳定的可能性增加。为了解决这个受约束的多目标优化问题，应用了膝点驱动的进化算法以及三点估计（KnEA-PE）方法。该方法的可行性和有效性已在IEEE 33总线，IEEE 69总线和IEEE 119总线径向分配系统上进行了测试。