将暂态稳定约束最优潮流(transient stability constrained optimal power flow,TSC—OPF)计算过程分解为潮流、暂态稳定及轨迹灵敏度、降阶二次规划最优潮流3个子问题的交替求解。在迭代过程中,根据潮流和暂态稳定计算得到状态变量和代数变量时变轨迹;由此判断系统的稳定性,并计算失稳时刻状态变量和初始时刻代数变量对发电机有功和无功功率的轨迹灵敏度;据此将暂态稳定约束最优潮流问题转化以发电机有功和无功功率增量为独立变量的降阶二次规划最优潮流问题;求解这个二次规划模型得到发电机有功和无功功率增量。通过这种交替求解,最终能寻找到满足暂态稳定约束的最优潮流解。以此为基础,提出了不受故障类型和模式影响的多故障处理方法。新英格兰10机39节点和UK20机100节点系统的计算结果表明,所提方法在计算精度和速度方面具有一定优势。
Transient stability constrained optimal power flow (TSC-OPF) problem was divided into three sub-problems power flow, transient stability and trajectory sensitivity, and reduced-order quadratic programming OPF. According to power flow and transient stability computation, time varying trajectories of state and algebraic variables were calculated, from which transient stability was judged, and trajectory sensitivities of algebraic and state variables with respect to active power and reactive power of generators respectively at the moment of initial and instability time duration were obtained. Based on these trajectory sensitivities, TSC-OPF problem was converted into a reduced-order quadratic programming OPF model with incremental active and reactive power of generators as independent variables. Hence incremental active power and reactive power of generators were computed from this quadratic programming model. Through alternating solution of the above three sub-problems, the OPF solution which satisfies transient stability constraints can be achieved. Furthermore, a method to approach multiple contingencies was presented, which was not affected by disturbance type and mode. Results on New England 10-machine 39-bus and UK 20-machine 100-bus systems demonstrate that the proposed method has some advantages in terms of computational accuracy and speed.