中文摘要：

以增加发电机有功出力和投入负荷作为控制变量，计及待恢复负荷的重要性，建立了减小环网并列线路两端过大电压相角差的混合整数规划模型。基于二分法原理使参与调整的发电机数量最小，提出了系统恢复中环网并列合闸角最优调控算法。在该算法中，参与调整的发电机数量少且有功出力调整量小，在较短时间内达到环网并列条件的同时，能够协调恢复部分重要负荷。新英格兰10机39节点算例系统仿真验证了该算法的有效性。

英文摘要：

A mixed-integer nonlinear programming model is develo!Sed for reducing excessive standing phase angle difference across open circuit breakers in transmission loop paralleling operation, The model adopts the active power and input load as control variables while taking the importance of the to-be-restored load into account. The minimum number of participating generators is determined based on the dichotomy theorem. Then the optimal control algorithm for standing phase angle reduction in power system restoration is developed. The method asl~s for fewer participating generators and less active power adjustment. The condition for transmission loop paralleling operation can be reached in a shorter time. Meanwhile, part of the important load can be restored. Simulation results of New England 10-machine 39-bus test system shows the effectiveness of the algorithm.