考虑小扰动稳定约束最优潮流的直接解法

为了将电力系统运行限定在静态稳定临界范围内，在最优潮流（OPF）模型中增加一组小扰动稳定指标作为不等式约束，建立了一种考虑小扰动稳定约束的最优潮流数学模型．以系统矩阵临界特征值的实部作为小扰动稳定指标，构造约束函数，并利用Cayley变换、谱函数理论及牛顿光滑化方法，对小扰动稳定约束进行转换，避免直接计算矩阵特征值，便于应用到大规模非线性系统．通过典型的WSCC3机9节点系统，验证了所提方法的有效性．

Direct solution of optimal power flow considering small-signal stability constraints

In order to limit power system operation in the critical range of static stable stability, a group of small-signal stability constraints as inequality constraints in the traditional optimal power flow model are added, and the optimal power flow mathematical model considering small-signal stability constraints is established in this paper. The critical eigenvalues real value of the system matrix as small-signal stability index is applied to form a constraint function, then the small-signal stability constraints is transformed by Cayley transformation, spectral function and Smoothing Newton-Type Method. The large scale nonlinear system is thus convenienced to calculate with matrix eigenvalues directly. By using in a WSCC 3 machines 9 buses system, this method effectiveness are verified.