基于机电回路相关比灵敏度的机电振荡模式抑制方法
摘要：机电振荡模式(electromechanical oscillation mode, EOM)是与同步发电机(synchronous generator, SG)机械暂态强相关的低频振荡(low-frequency oscillation, LFO)模式，对SG轴系安全和电网稳定影响较大。减小EOM机电回路相关比ρ能减小EOM与SG的相关度，抑制SG振荡。基于此，提出机电回路相关比对SG出力的灵敏度的模型：将ρ对控制参数的灵敏度展开为对参与因子的灵敏度；考虑参与因子由特征向量组成，补充后者幅值和相位约束，得到特征向量灵敏度的唯一解；考虑SG出力对节点电压和特征值的影响，但未出现在状态矩阵中，引入潮流雅可比矩阵的逆，建立特征值和特征向量对SG出力的灵敏度，提出ρ对SG有功和无功出力灵敏度的解析表达。最后利用算例分析检验了EOM及其特征向量、参与因子、ρ对SG出力的灵敏度的准确性，证实了调节SG有功和无功出力对抑制机电模式的控制效果。
Abstract:The electromechanical oscillation mode (abbr. EOM) is a low-frequency oscillation (abbr. LFO) mode strongly correlated to the mechanical transient of synchronous generator (abbr. SG) and has a great impact on shafting security of the synchronous generators and grid stability. By means of reducing the electromechanical loop relevance ratio ρ, the relevancy of EOM and SG can be decreased and the oscillation of SG can be restrained. On this basis, the model of the sensitivity of electromechanical loop relevance ratio to SG output was proposed, the sensitivity of ρ to the control parameter was expanded into the sensitivity of participation factors. Considering that the participation factor was composed by eigenvectors, the unique solution of eigenvector sensitivity was obtained by replenishing the amplitude and phase constraint of the latter. Considering the affection of SG output on nodal voltage and eigenvalue, however, such an affection was not shown in the state matrix, the inverse matrix of Jacobian matrix of power flow solution was led in and the sensitivity of eigenvalue and eigenvector to SG output was established, and then the analytic expression of ρ to the sensitivity of active and reactive output of the SG was put forward. Finally, by means of analyzing computing examples, the accuracy of the sensitivity model of EOM and its eigenvectors, that of the participation factor and that of ρ to the output of the SG were verified. Thus, the control effect of restraining EOM by regulating active and reactive output of the SG is validated.
标题：基于机电回路相关比灵敏度的机电振荡模式抑制方法
英文标题：A Method to Suppress Electromechanical Oscillation Modes Based on Sensitivity of Electromechanical Loop Relevance Ratio
作者：李生虎, 方天扬, 张浩,
关键词：同步发电机, 振荡抑制, 机电模式, 机电回路相关比, 灵敏度,
发表日期：2022-04-10
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