计及暂态稳定约束的可用传输容量计算

CALCULATION OF AVAILABLE TRANSFER CAPABILITY WITH TRANSIENT STABILITY CONSTRAINTS

以摇摆曲线的失稳轨迹在对应时间段上的积分值作为确定暂态失稳程度的判据,将计及暂态稳定约束的可用传输容量计算问题等值变换为常规最优潮流问题。克服了由于引入暂态稳定约束引起的雅可比矩阵及海森矩阵的计算困难,因此可采用具有二阶收敛性的直接非线性原对偶内点算法求解该模型。此外, 该文首次提出了暂态稳定约束最有效部分的概念,减少了在每次迭代过程中雅可比矩阵及海森矩阵的计算量,提高了算法的计算速度和收敛性,并通过算例证明了本算法的正确性和有效性。

The integration of instability trajectory in the corresponding time interval is defined as the criterion determining transient instability degree, and hence available transfer capability problem with transient stability constrains can be equivalently converted into a conventional optimal power flow problem. This paper overcomes the difficulty encountered in computing Jacobian and Hessian matrices due to introduction of transient stability constrains. Thus, the direct nonlinear primal-dual interior point method with quadratic convergence can be applied to solve this problem. In order to improve the speed and convergence of optimization calculation, a new concept, 搕he most effective section of transient stability constraints? is proposed for the first time to reduce computational efforts of the Jacobian and Hessian matrices in each iteration. Furthermore,the proposed algorithm has been validated on a test system.