分析了确定电力系统自动发电控制(automatic generation control，AGC)机组调节容量的主要因素，提出将AGC最小调节容量的获取转换为最小调节速率的获取。根据电力系统实际运行情况和控制性能评价标准(control performance standard，CPS)考核要求，建立基于现代内点理论的互联电网CPS标准下的AGC最小调节速率的数学模型，确定解算条件，导出含互补约束条件的非线性规划算法。该方法能够确定不同时段最优AGC机组调节容量，协调不同特性机组的运行，从而保证电力系统安全稳定经济运行，同时很好地兼顾电网运行的可靠性和市场运营的经济性。大量的仿真实验和比较算例表明所提方法的可行性和实用性。

The primary factors to determine the adjustment capacity of automatic generation control (AGC) units was analyzed, and the method of obtaining the minimum AGC speed instead of the AGC capacity was proposed. A new mathematic optimization model, which is for the minimum AGC adjustment capacity under control performance standard (CPS) for interconnection power grid based on the modern interior point optimization theory, was achieved according to the practical operation of power grid and the requirements of CPS. The solvable conditions and the algorithm of nonlinear programming with complementarities constraints for the model were also presented. The proposed method can gain the optimal AGC adjustment capacity within different periods of time to assign the different units, so the security, stability and reliability for the operation of power system and economy for the power market can be guaranteed. Extensive numerical simulations on test systems and practical power systems have shown that this method is feasible and effective.

国家自然科学基金项目(50867001)；广西教育厅科技项目(200701MS145)；国家高校博士学科点专项科研基金(20060593002)。