A Risk-Averse Conic Model for Networked Microgrids Planning with Reconfiguration and Reorganizations

Xiaoyu Cao, Jianxue Wang, Jianhui Wang, Bo Zeng
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Abstract

The advanced switching techniques enable the topology reconfiguration of microgrids in active distribution network. In this paper, we enhance and generalize the traditional reconfiguration strategy resorting to the concept of “dynamic microgrids” (i.e., the reorganization of microgrids boundaries), to achieve a higher operational feasibility against the emergency islandings. Also, a risk-averse two-stage mixed integer conic program model is presented to support the networked microgrids planning with generalized reconfiguration decisions. The microgrids capacity expansion and seasonal reconfiguration decisions are made in the first stage, and validated under stochastic islanding scenarios in the second stage, where the network operations are captured by a second-order conic program (SOCP). Furthermore, a conditional value-at-risk (CVaR) measure is involved to quantitatively control the islanding risks. By theoretically proving the strong duality of the SOCP subproblem, we develop and customize Benders decomposition method with the guaranteed finite convergence to the optimal value. Finally, numerical results on 33- and 56-bus networked microgrids validate the effectiveness of proposed reconfiguration strategy as well as planning approach. Our method demonstrates a cost-saving up to 22.56% when comparing to the traditional scheme with fixed microgrids boundaries.
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具有重构和重组的网络化微电网规划的风险规避圆锥模型
先进的交换技术使有源配电网中微电网的拓扑重构成为可能。本文引入“动态微电网”概念(即微电网边界的重组),对传统重构策略进行了改进和推广,使其在应急孤岛情况下具有更高的运行可行性。同时,提出了一种风险规避型两阶段混合整数二次规划模型,以支持具有广义重构决策的网络化微电网规划。在第一阶段进行了微电网扩容和季节性重构决策,并在第二阶段进行了随机孤岛情景下的验证,其中网络运行由二阶曲线规划(SOCP)捕获。此外,还引入了条件风险值(CVaR)测度来定量控制孤岛风险。通过从理论上证明SOCP子问题的强对偶性,我们开发并定制了保证有限收敛到最优值的Benders分解方法。最后,对33总线和56总线网络化微电网进行了数值仿真,验证了重构策略和规划方法的有效性。与传统的固定微电网边界方案相比,该方案可节省22.56%的成本。
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