标题： 基于隐式多线性模型的电力系统小信号稳定性分析 显示英文标题

标题： Small-Signal Stability Analysis of Power Systems by Implicit Multilinear Models

摘要： 本文提出了一种新的方法，基于隐式多线性模型的线性化进行小信号稳定性分析。 多线性模型通过状态、输入和代数变量的多线性函数描述系统动态。 通过合适的变量变换，它们还可以表示在电力系统建模中经常出现的三角函数。 这允许了跟随电网和形成电网的电力转换器的张量表示。 本文介绍了基于隐式多线性模型的平衡点小信号稳定性分析，使用广义特征值。 广义特征值是从线性化隐式多线性模型的线性描述符模型中计算得到的。 所提出的方法使用一个3节点网络示例进行测试，首先将隐式多线性模型的时间域仿真与非线性模型进行比较，其次将广义特征值与线性化非线性模型的特征值进行比较。 结果表明，隐式多线性模型的分解张量表示相比MATLAB Simulink中的传统方法可以实现更快的线性化。 显示英文摘要

摘要： This paper proposes a new approach to perform small-signal stability analysis based on linearization of implicit multilinear models. Multilinear models describe the system dynamics by multilinear functions of state, input, and algebraic variables. Using suitable transformations of variables, they can also represent trigonometric functions, which often occur in power systems modeling. This allows tensor representations of grid-following and grid-forming power converters. This paper introduces small-signal stability analysis of equilibrium points based on implicit multilinear models using generalized eigenvalues. The generalized eigenvalues are computed from linear descriptor models of the linearized implicit multilinear model. The proposed approach is tested using a 3-bus network example, first by comparing time-domain simulations of the implicit multilinear model with those of the nonlinear model, and second by comparing the generalized eigenvalues with those of the linearized nonlinear model. The results show that the decomposed tensor representation of the implicit multilinear model allows for a faster linearization compared to conventional methods in MATLAB Simulink.