基于支路视在功率灵敏度的故障后电压计算

提出了基于支路视在功率灵敏度的N-1网络电压快速计算方法。支路故障采用故障开断参数来模拟,首先通过牛顿潮流计算出故障前网络节点电压,然后利用已收敛潮流修正方程式对支路开断参数求导,从而计算出电压对相应支路开断参数的导数,进一步得到节点电压对故障支路故障前视在功率的导数,最后根据视在功率灵敏度修正故障前网络电压,得到故障后网络电压。方法特点是在计算不同支路故障的导数时共用潮流计算收敛时的雅可比矩阵,不用重新进行因子表分解。由于节点电压与支路功率之间的良好线性关系,所提方法计算精度较高。IEEE14节点、IEEE30节点、IEEE118节点网络和湖南实际系统的测试结果证明了该方法的正确性和实用价值。

Post-contingency voltage calculation based on branch apparent power sensitivity

A fast and accurate algorithm for calculating the node voltage of N-1 network is proposed based on branch apparent power sensitivity.The pre-contingency voltage is calculated based on Newton power flow approach and the branch fault is represented by the branch outage parameter.The derivative of voltage with respect to the branch outage parameter is calculated with the convergent power flow equation of the base network topology and the derivative of voltage with respect to branch apparent power is further obtained.The post-contingency voltage is obtained by modifying the pre-contingency voltage according to the apparent sensitivity.The coefficient Jacobian matrix is identical for different branch faults and it is not necessary to factor the coefficient matrix repeatedly.The proposed approach has higher accuracy because of the better linear relation between node voltage and branch power.Results of tests on IEEE 14-bus,30-bus and 118-bus systems and Hunan power system show its correctness and practicability.