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| 摘要: |
| 提出了一种快速求解多机系统机电振荡模式的新方法,既能避免维数灾问题又能防止出现丢根现象。首先,通过建立发电机的经典模型,计算出多机系统的各振荡模式(特征根虚部)和振荡模态(特征向量);再用等值阻尼系统表示发电机的励磁控制作用对机电振荡模式的影响,推导出只用机组惯性常数M和阻尼系数D及相应的特征向量表示的机电模式的实部估算公式,由此公式估算出相应的实部,从而得到各振荡模式的特征根的初值;根据Heffron-Phillips全系统的状态矩阵和已经估算出的特征根,用反幂法快速求出系统状态矩阵的根,即为此多机系统的全部机电模式特征根。最后,用ENGLAND10机系统算例证明了该方法的有效性。 |
| 关键词: 多机系统,机电模式,特征根,反幂法 |
| DOI： |
| 分类号:TM714 |
| 基金项目: |
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| Electromechanical mode fast calculation of multi-machine power system |
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CUI Xiao-lei ZHAO Shu-qiang YAN Jian-jie
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| Abstract: |
| A fast calculation for the electromechanical mode of multi-machine power systems is presented,which avoids both dimensionality calamity and eigenvalue loss. The oscillatory mode(the imaginary part of eigenvalues) and the oscillatory mode shape(eigenvectors) are calculated with the classical model. The effect on the electromechanical mode of the excitation control is expressed by the additional equivalent damping coefficient. The formula of the real part including only inertia constants M,damping coefficients D and corresponding eigenvectors is derived to assume the real part of the eigenvalue,thus working out the initial eigenvalue. Then the inverse power method is used to calculate all accurate electromechanical eigenvalues rapidly according to the Heffron - Phillips state matrix of the whole system. The ENGLAND 10 -machine system is employed to demonstrate the effectiveness of the method. |
| Key words: multi-machine power system,electromechanical mode,eigenvalue,inverse power method |
