This letter proposes a method for calculating the sensitivity of delay margin with respect to system parameters. According to the property that the delay margin is achieved when the rightmost eigenvalues of the close-loop system locate exactly on the imaginary axis, a characteristic equation with inclusion of the delay margin is established. By differentiating the characteristic equation and further introducing normalization condition for the eigenvector, the sensitivity of the delay margin with respect to any given parameters can be obtained by solving a set of sparse linear equations. Due to the general differential and algebraic equation used in the derivation, the proposed delay margin sensitivity analysis method applies to various power system models and control problems.

中文翻译：

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可行的延迟裕度灵敏度分析方法

这封信提出了一种计算延迟裕度相对于系统参数的灵敏度的方法。根据闭环系统最右边的特征值恰好位于虚轴上时的延迟余量的性质，建立了包含延迟余量的特征方程。通过微分特征方程并进一步引入特征向量的归一化条件，可以通过求解一组稀疏线性方程来获得相对于任何给定参数的延迟裕度的灵敏度。由于在推导中使用了一般的微分和代数方程，因此所提出的延迟裕度灵敏度分析方法适用于各种电力系统模型和控制问题。