考虑发电机详细模型的多机系统的多参数分岔分析

Multi-parameter Bifurcation Analysis Considering Generator Detailed Model in Multi-machine Power System

利用延拓法对鞍结分岔、奇异诱导分岔、霍普夫分岔和极限诱导分岔4种局部分岔点所满足的扩展非线性代数方程组进行连续追踪,得出电力系统二维参数的分岔边界曲线,在追踪分岔曲线的过程中保持了雅可比矩阵的稀疏性和直接法本身具有的计算速度快的优点,同时计算出特征向量和特征值等信息,特别是求解霍普夫分岔的方法比文献中已有的方法的计算量小,建议采用判断系统是否存在霍普夫分岔点作为附加的程序终止条件,提出追踪极限诱导分岔曲线的计算方法,用MATLABR R2006a实现本文所提方法对考虑发电机详细模型和动态负荷模型的WSCC-9系统进行二维参数分岔分析,仿真结果表明了本文所提方法的有效性和准确性。

The continuation method is utilized to continually trace the extended nonlinear algebraic equations satisfied by saddle node bifurcation （SNB）, singularity induced bifurcation （SIB）, HOPF bifurcation and limit induced bifurcation （LIB）. The two-dimensional bifurcation boundary curves in power systems are obtained. When tracing bifurcation curves, these algorithms maintain the sparsity characteristics of Jacobian matrix and have the same advantages of rapid convergence speed as the direct method. The eigenvector, eigenvalue and other information are calculated. This algorithm used to calculate the HOPF bifurcation point is more efficient compared with the existing method. It is suggested that the additional converge condition can be judged according to whether the power system has HOPF bifurcation point or not during the tracing bifurcation process. The method to calculate limit induced bifurcation curves is presented. It is applied to analyze WSCC-9 buses sample system considering power system with generator detailed model and dynamic load model for calculating two-dimensional parameter bifurcation curves by using MATLAB R2006a language. Simulation results prove the effectiveness and accuracy of the proposed method.