中文摘要：

在兼顾系统经济性和可靠性的基础上，同时考虑负荷预测偏差以及风电出力预测偏差等不确定性因素后，研究了计及风速相关性下的电网最优旋转备用。采用成本效益分析法，建立了系统发电成本、备用成本和期望停电成本之和最小的目标函数，利用基于随机模拟的量子行为粒子群算法对其进行求解，并对相关影响因素进行敏感性分析。通过算例分析了风速相关性对旋转备用的影响，验证了所提模型和算法是可行的。

英文摘要：

Considering both economy and reliability of power grid and simultaneously taking such uncertain factors as deviation of load prediction, prediction error of wind power output and so on into account, the optimal spinning reserve capacity of power grid, in which the wind speed correlation is considered, is researched. Utilizing cost-benefit analysis, a model to obtain spinning reserve capacity, in which the minimized sum of system generation cost, spinning reserve cost and expected outage cost is taken as the objective function, is established, and the stochastic simulation based quantum-behaved particle swarm optimization algorithm is used to solve the established model, and the sensitivity analysis on related influencing factors is performed. A test system composed of sixteen coal-fired generating units and four wind farms is taken as the case, the impact of wind speed correlation on spinning reserve capacity is analyzed, and analysis results show that the proposed model and algorithm are feasible.