计及风电不确定性的电力系统黑启动恢复模型

Power System Black-start Restoration Model Considering Wind Power Uncertainties

电力系统极端事件的评估与防御是提升电力系统韧性的重要课题。其中,对含高渗透率新能源的新型电力系统大停电事故之后的黑启动恢复过程进行仿真模拟具有重要意义。提出了一种计及风电出力不确定性的输电系统黑启动恢复全过程优化模型。首先,以多场景随机优化方法刻画风电出力及其配置的储能初始荷电状态的不确定性,并建立电力系统黑启动恢复过程中的机组、线路及负荷恢复协调优化问题,以最大化恢复期间全时段恢复负荷功率之和及风电机组出力之和为主要优化目标,建立了满足多场景的电力系统黑启动恢复模型;其次,对模型中的潮流方程进行了线性化处理,并提出了一种新的火电机组线性化建模方法,以解决非凸非线性的挑战,形成混合整数线性规划模型;然后,针对场景数量增加导致的求解效率低下的问题,采用L-shaped算法对模型进行求解;最后,以新英格兰10机39节点系统为例验证了所提模型及算法的可行性和有效性。

The evaluation and security defense of the extreme events in a power system is an important topic to improve the resilience of the power system,in which the simulation for the black-start restoration of the power system with high renewable energy penetration after the blackout is of great significance.Under this background,an optimization model for the transmission system black-start restoration considering the uncertainty of wind power output is proposed in this paper.First of all,the uncertainty of wind power outputs and the initial SOC of the energy storage equipment is described by the multi-scenarios stochastic optimization.The coordinated optimization of the units,the branch lines,and the load restoration in the black-start restoration is established.Setting the maximum of the sum of restored load powers and the sum of wind power output powers during the restoration as the main optimization objective,a power system black-start restoration model is built to satisfy the multi-scenarios.Second,the power flow equations in the model are linearized,and a new linearized modeling for the thermal power units is proposed to solve the non-convex&nonlinear challenges and to form a mixed integer linear programming model.Then,in view of the inefficiency caused by the scenario increase,the L-shaped algorithm is utilized to solve the model.Finally,the New England 10-generator 39-bus power system is employed to verify the feasibility and validity of the proposed model and algorithm.