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针对重负荷且因断线导致网络结构发生变化时,基于慢同调理论的机组同调辨识方法因雅可比矩阵条件数大导致的收敛困难的缺点,提出了计及断线的同调机组辨识新方法。该方法的基本过程如下:首先,把线路π型等值模型表示成带参数模型,从而通过参数的变化表示支路的开断;然后,采用基于预测—校正的延拓算法计算线路开断之后新网络的状态矩阵特征值及特征向量;最后,计算出同调系数,得到新的网络结构下的同调机群。通过新英格兰10机39节点系统验证了该方法在系统负载大时,具有更好的收敛性。
When a power system is at the status of heavy load with line break causing the change of network structure
its power flow calculation is usually difficult to converge and it is hard to carry out the coherent generator identification based on slow coherency method due to the large condition number of Jacobian matrix. In order to improve this
a novel approach of generator coherency identification is proposed considering the line break. The basic processes of the method are as follows. Firstly
by describing the π-equivalent line model as a model with parameters
the event of branch line break is therefore expressed as the process of parameter variation. Then the novel method based on predictor-corrector continuation algorithm is further designed to compute the state matrix's eigenvalues and their corresponding eigenvectors of the new network after the line break. Finally
the coherency indices between each pair generators and the coherent generator groups under the new network structure are acquired. The novel method proposed has good convergence property when the system is verified in the condition of heavy load and line break through the New England 10-unit 39-bus power system.
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