基于分布鲁棒优化的电-气综合能源系统弹性提升策略

Resilience Enhancement Strategy of Electricity-Gas Integrated Energy System Based on Distributionally Robust Optimization

小概率-高风险极端天气灾害事件的频发对电力系统的安全稳定运行提出了重大挑战。针对深度耦合的电-气综合能源系统,文中提出一种考虑极端天气下配电网线路故障概率信息的弹性导向分布鲁棒优化模型以提升其弹性能力。首先,融合极端条件下元件故障概率区间构造线路故障模糊集,在此基础上建立防御-攻击-防御3层框架下的配电网弹性提升优化问题。其次,构建以燃气机组出力为耦合变量的天然气系统运行可行性子问题。然后,提出一种内外双层循环算法求解上述问题:外层循环结合对偶理论和列与约束生成算法求解配电网优化问题;内层循环采用Benders分解算法对气网问题进行校验。最后,通过算例验证了所提模型及求解算法的有效性。

The frequent occurrence of extreme weather disaster events with low probability and high risk puts forward a great challenge to the safe and stable operation of the power system. Aiming at the deeply coupled electricity-gas integrated energy system, a resilience-oriented distributionally robust optimization model considering the failure probability information of distribution network transmission lines under extreme conditions is proposed to enhance the resilience. Firstly, the ambiguity set of the transmission line failure is constructed by incorporating the probability interval of component failure under extreme conditions.On this basis, an optimization problem of resilience enhancement in the distribution network is established with the tri-level framework of defense-attack-defense. Secondly, the operation feasibility sub-problem of the natural gas system is developed,where the power outputs of gas-fired units are regarded as the coupling variables. Thirdly, an internal and external bi-level cycle algorithm is proposed to solve the above problems: the outer cycle combines the duality theory and column-and-constraint generation algorithm to solve the distribution network optimization problem, and the Benders decomposition algorithm is employed to check the gas network problem in the inner cycle. Finally, the calculation example verifies the effectiveness of the proposed model and solution algorithm.