考虑需求响应的多目标模糊机会约束动态经济调度

风电和需求响应参与电网调度带来了显著的经济效益并降低了负荷波动，但是风机出力的不确定性给电网动态经济调度带来挑战。针对上述问题，建立考虑需求响应的多目标模糊机会约束动态经济调度。首先，分析风电预测误差在不同功率的模糊特性，并拟合出模糊参数，进而获得风电的模糊隶属度函数。其次，根据模糊理论对系统约束形成可信性测度的模糊机会约束，建立考虑经济和负荷方差的多目标优化模型。在模型求解上，采用清晰等价类将机会约束清晰化，采用基于分解的多目标进化算法求解，然后采用模糊聚类的Pareto最优解集筛选最优解。算例结果表明，所提出的模型，能够有效权衡风电并网风险、系统利润和系统负荷波动。

Multi-objective fuzzy opportunity constrained dynamic economic scheduling considering demand response

The participation of wind power and demand response in grid dispatching has brought significant economic benefits and reduced load fluctuations. However, the uncertainty of wind power challenges to dynamic economic dispatch of the grid. Aiming at the above problems, a multi-objective fuzzy opportunity constrained dynamic economic scheduling considering demand response is established. First, the fuzzy characteristics of wind power prediction errors at different powers are analyzed, and the distribution parameters are fitted to obtain the fuzzy membership function of wind power output and load. Secondly, based on the fuzzy set theory, different measures of fuzzy opportunity constraints are formed for different system constraints, and a multi-objective optimization model considering economic and load variances is established. For model solution, clear equivalence classes are used to clarify the opportunity constraints. Then, a multi-objective evolutionary algorithm based on decomposition is used to solve the proposed model and select the optimal solution. The results of calculation examples show that the proposed model can effectively balance the wind power grid-connected risks, system profits, and system load fluctuations.